Identifier
Values
=>
Cc0014;cc-rep-1 Cc0029;cc-rep
[1]=>([],1)=>([],1)=>0 [1,2]=>([(0,1)],2)=>([(0,1)],2)=>1 [2,1]=>([],2)=>([],1)=>0 [1,2,3]=>([(0,2),(2,1)],3)=>([(0,2),(2,1)],3)=>2 [1,3,2]=>([(0,1),(0,2)],3)=>([],1)=>0 [2,1,3]=>([(0,2),(1,2)],3)=>([],1)=>0 [2,3,1]=>([(1,2)],3)=>([(0,1)],2)=>1 [3,1,2]=>([(1,2)],3)=>([(0,1)],2)=>1 [3,2,1]=>([],3)=>([],1)=>0 [1,2,3,4]=>([(0,3),(2,1),(3,2)],4)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,4,3]=>([(0,3),(3,1),(3,2)],4)=>([],1)=>0 [1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4)=>([],1)=>0 [1,3,4,2]=>([(0,2),(0,3),(3,1)],4)=>([(0,1)],2)=>1 [1,4,2,3]=>([(0,2),(0,3),(3,1)],4)=>([(0,1)],2)=>1 [1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>([],1)=>0 [2,1,3,4]=>([(0,3),(1,3),(3,2)],4)=>([],1)=>0 [2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([(0,1)],2)=>1 [2,3,1,4]=>([(0,3),(1,2),(2,3)],4)=>([(0,1)],2)=>1 [2,3,4,1]=>([(1,2),(2,3)],4)=>([(0,2),(2,1)],3)=>2 [2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>([(0,2),(2,1)],3)=>2 [2,4,3,1]=>([(1,2),(1,3)],4)=>([],1)=>0 [3,1,2,4]=>([(0,3),(1,2),(2,3)],4)=>([(0,1)],2)=>1 [3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>([(0,2),(2,1)],3)=>2 [3,2,1,4]=>([(0,3),(1,3),(2,3)],4)=>([],1)=>0 [3,2,4,1]=>([(1,3),(2,3)],4)=>([],1)=>0 [3,4,1,2]=>([(0,3),(1,2)],4)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,2,1]=>([(2,3)],4)=>([(0,1)],2)=>1 [4,1,2,3]=>([(1,2),(2,3)],4)=>([(0,2),(2,1)],3)=>2 [4,1,3,2]=>([(1,2),(1,3)],4)=>([],1)=>0 [4,2,1,3]=>([(1,3),(2,3)],4)=>([],1)=>0 [4,2,3,1]=>([(2,3)],4)=>([(0,1)],2)=>1 [4,3,1,2]=>([(2,3)],4)=>([(0,1)],2)=>1 [4,3,2,1]=>([],4)=>([],1)=>0 [1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5)=>([],1)=>0 [1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>([],1)=>0 [1,2,4,5,3]=>([(0,4),(3,2),(4,1),(4,3)],5)=>([(0,1)],2)=>1 [1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5)=>([(0,1)],2)=>1 [1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5)=>([],1)=>0 [1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>([],1)=>0 [1,3,2,5,4]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>1 [1,3,4,2,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,1)],2)=>1 [1,3,4,5,2]=>([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,2),(2,1)],3)=>2 [1,3,5,2,4]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [1,3,5,4,2]=>([(0,3),(0,4),(4,1),(4,2)],5)=>([],1)=>0 [1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>([(0,1)],2)=>1 [1,4,2,5,3]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>([],1)=>0 [1,4,3,5,2]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>([],1)=>0 [1,4,5,2,3]=>([(0,3),(0,4),(3,2),(4,1)],5)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,5,3,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>([(0,1)],2)=>1 [1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5)=>([(0,2),(2,1)],3)=>2 [1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5)=>([],1)=>0 [1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>([],1)=>0 [1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>([(0,1)],2)=>1 [1,5,4,2,3]=>([(0,2),(0,3),(0,4),(4,1)],5)=>([(0,1)],2)=>1 [1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>([],1)=>0 [2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5)=>([],1)=>0 [2,1,3,5,4]=>([(0,4),(1,4),(4,2),(4,3)],5)=>([(0,1)],2)=>1 [2,1,4,3,5]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>([(0,1)],2)=>1 [2,1,4,5,3]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,2),(2,1)],3)=>2 [2,1,5,3,4]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>([(0,2),(2,1)],3)=>2 [2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([],1)=>0 [2,3,1,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,1)],2)=>1 [2,3,1,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [2,3,4,1,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [2,3,4,5,1]=>([(1,4),(3,2),(4,3)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,5,1,4]=>([(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,5,4,1]=>([(1,4),(4,2),(4,3)],5)=>([],1)=>0 [2,4,1,3,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [2,4,1,5,3]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,3,1,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([],1)=>0 [2,4,3,5,1]=>([(1,2),(1,3),(2,4),(3,4)],5)=>([],1)=>0 [2,4,5,1,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,5,3,1]=>([(1,3),(1,4),(4,2)],5)=>([(0,1)],2)=>1 [2,5,1,3,4]=>([(0,4),(1,2),(1,4),(4,3)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([],1)=>0 [2,5,3,1,4]=>([(0,4),(1,2),(1,3),(3,4)],5)=>([],1)=>0 [2,5,3,4,1]=>([(1,3),(1,4),(4,2)],5)=>([(0,1)],2)=>1 [2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,1)],2)=>1 [2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>([],1)=>0 [3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>([(0,1)],2)=>1 [3,1,2,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [3,1,4,2,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [3,1,4,5,2]=>([(0,4),(1,2),(1,4),(4,3)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>([],1)=>0 [3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5)=>([],1)=>0 [3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],1)=>0 [3,2,4,1,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>([],1)=>0 [3,2,4,5,1]=>([(1,4),(2,4),(4,3)],5)=>([],1)=>0 [3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],1)=>0 [3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>1 [3,4,1,2,5]=>([(0,3),(1,2),(2,4),(3,4)],5)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,1,5,2]=>([(0,3),(1,2),(1,4),(3,4)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,2,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [3,4,2,5,1]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [3,4,5,1,2]=>([(0,3),(1,4),(4,2)],5)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,4,5,2,1]=>([(2,3),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [3,5,1,2,4]=>([(0,3),(1,2),(1,4),(3,4)],5)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>([],1)=>0 [3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>1 [3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1)],2)=>1 [3,5,4,2,1]=>([(2,3),(2,4)],5)=>([],1)=>0 [4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [4,1,2,5,3]=>([(0,4),(1,2),(2,3),(2,4)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>([],1)=>0 [4,1,3,5,2]=>([(0,4),(1,2),(1,3),(3,4)],5)=>([],1)=>0 [4,1,5,2,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>([(0,1)],2)=>1 [4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>([],1)=>0 [4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],1)=>0 [4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [4,2,3,5,1]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>([],1)=>0 [4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [4,3,1,2,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>1 [4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([],1)=>0 [4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)=>([],1)=>0 [4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)=>([(0,1)],2)=>1 [4,3,5,2,1]=>([(2,4),(3,4)],5)=>([],1)=>0 [4,5,1,2,3]=>([(0,3),(1,4),(4,2)],5)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>([(0,1)],2)=>1 [4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)=>([(0,1)],2)=>1 [4,5,2,3,1]=>([(1,4),(2,3)],5)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,2]=>([(1,4),(2,3)],5)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,2,1]=>([(3,4)],5)=>([(0,1)],2)=>1 [5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5)=>([],1)=>0 [5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5)=>([],1)=>0 [5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5)=>([(0,1)],2)=>1 [5,1,4,2,3]=>([(1,3),(1,4),(4,2)],5)=>([(0,1)],2)=>1 [5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>([],1)=>0 [5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5)=>([],1)=>0 [5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,1)],2)=>1 [5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [5,2,3,4,1]=>([(2,3),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [5,2,4,3,1]=>([(2,3),(2,4)],5)=>([],1)=>0 [5,3,1,2,4]=>([(1,4),(2,3),(3,4)],5)=>([(0,1)],2)=>1 [5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>([(0,2),(2,1)],3)=>2 [5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)=>([],1)=>0 [5,3,2,4,1]=>([(2,4),(3,4)],5)=>([],1)=>0 [5,3,4,1,2]=>([(1,4),(2,3)],5)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,2,1]=>([(3,4)],5)=>([(0,1)],2)=>1 [5,4,1,2,3]=>([(2,3),(3,4)],5)=>([(0,2),(2,1)],3)=>2 [5,4,1,3,2]=>([(2,3),(2,4)],5)=>([],1)=>0 [5,4,2,1,3]=>([(2,4),(3,4)],5)=>([],1)=>0 [5,4,2,3,1]=>([(3,4)],5)=>([(0,1)],2)=>1 [5,4,3,1,2]=>([(3,4)],5)=>([(0,1)],2)=>1 [5,4,3,2,1]=>([],5)=>([],1)=>0 [1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>([],1)=>0 [1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>([],1)=>0 [1,2,3,5,6,4]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>([(0,1)],2)=>1 [1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>([(0,1)],2)=>1 [1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>([],1)=>0 [1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>([],1)=>0 [1,2,4,3,6,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>([(0,1)],2)=>1 [1,2,4,5,3,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,1)],2)=>1 [1,2,4,5,6,3]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [1,2,4,6,3,5]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>([(0,2),(2,1)],3)=>2 [1,2,4,6,5,3]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>([],1)=>0 [1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>([(0,1)],2)=>1 [1,2,5,3,6,4]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>([(0,2),(2,1)],3)=>2 [1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([],1)=>0 [1,2,5,4,6,3]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([],1)=>0 [1,2,5,6,3,4]=>([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,5,6,4,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>([],1)=>0 [1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>([],1)=>0 [1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [1,2,6,5,3,4]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [1,2,6,5,4,3]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>([],1)=>0 [1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>([],1)=>0 [1,3,2,4,6,5]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>([(0,1)],2)=>1 [1,3,2,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,1)],2)=>1 [1,3,2,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(2,1)],3)=>2 [1,3,2,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>([(0,2),(2,1)],3)=>2 [1,3,2,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [1,3,4,2,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,1)],2)=>1 [1,3,4,2,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,2),(2,1)],3)=>2 [1,3,4,5,2,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,2),(2,1)],3)=>2 [1,3,4,5,6,2]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,6,2,5]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,6,5,2]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>([],1)=>0 [1,3,5,2,4,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,3,5,2,6,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,5,4,2,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>([],1)=>0 [1,3,5,4,6,2]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>([],1)=>0 [1,3,5,6,2,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,3,5,6,4,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,1)],2)=>1 [1,3,6,2,4,5]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,6,2,5,4]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>([],1)=>0 [1,3,6,4,2,5]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>([],1)=>0 [1,3,6,4,5,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,1)],2)=>1 [1,3,6,5,2,4]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>([(0,1)],2)=>1 [1,3,6,5,4,2]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>([],1)=>0 [1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>([(0,1)],2)=>1 [1,4,2,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>([(0,2),(2,1)],3)=>2 [1,4,2,5,3,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,4,2,5,6,3]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>([],1)=>0 [1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>([],1)=>0 [1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [1,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>([],1)=>0 [1,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [1,4,5,2,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,5,2,6,3]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,4,5,6,2,3]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,4,5,6,3,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [1,4,6,2,3,5]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,4,6,2,5,3]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>([],1)=>0 [1,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>([(0,1)],2)=>1 [1,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,4,6,5,2,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>([(0,1)],2)=>1 [1,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>([],1)=>0 [1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>([(0,2),(2,1)],3)=>2 [1,5,2,3,6,4]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>([],1)=>0 [1,5,2,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>([],1)=>0 [1,5,2,6,3,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,5,2,6,4,3]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>([(0,1)],2)=>1 [1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [1,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>([],1)=>0 [1,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>([(0,1)],2)=>1 [1,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [1,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [1,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>([],1)=>0 [1,5,6,2,3,4]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,6,2,4,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>([(0,1)],2)=>1 [1,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>([(0,1)],2)=>1 [1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>([],1)=>0 [1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>([],1)=>0 [1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,1)],2)=>1 [1,6,2,5,3,4]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>([(0,1)],2)=>1 [1,6,2,5,4,3]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>([],1)=>0 [1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>([],1)=>0 [1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [1,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>([],1)=>0 [1,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>([(0,1)],2)=>1 [1,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [1,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [1,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>([],1)=>0 [1,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>([(0,1)],2)=>1 [1,6,5,2,3,4]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>([],1)=>0 [1,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>([],1)=>0 [1,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>([(0,1)],2)=>1 [1,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>([(0,1)],2)=>1 [1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>([],1)=>0 [2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>([],1)=>0 [2,1,3,4,6,5]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>([(0,1)],2)=>1 [2,1,3,5,4,6]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([(0,1)],2)=>1 [2,1,3,5,6,4]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,1,3,6,4,5]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,1,3,6,5,4]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>([],1)=>0 [2,1,4,3,5,6]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>([(0,1)],2)=>1 [2,1,4,3,6,5]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,1,4,5,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,1,4,5,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,6,3,5]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,6,5,3]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [2,1,5,3,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,1,5,3,6,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,5,4,3,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [2,1,5,4,6,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>([],1)=>0 [2,1,5,6,3,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,1,5,6,4,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,1,6,3,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,6,3,5,4]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [2,1,6,4,3,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>([],1)=>0 [2,1,6,4,5,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,1,6,5,3,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [2,3,1,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>([(0,1)],2)=>1 [2,3,1,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,3,1,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,3,1,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [2,3,4,1,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,3,4,1,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,5,1,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,5,6,1]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,6,1,5]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,6,5,1]=>([(1,4),(4,5),(5,2),(5,3)],6)=>([],1)=>0 [2,3,5,1,4,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,5,1,6,4]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,5,4,1,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [2,3,5,4,6,1]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [2,3,5,6,1,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,3,5,6,4,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [2,3,6,1,4,5]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,6,1,5,4]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [2,3,6,4,1,5]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [2,3,6,4,5,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [2,3,6,5,1,4]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>([(0,1)],2)=>1 [2,3,6,5,4,1]=>([(1,5),(5,2),(5,3),(5,4)],6)=>([],1)=>0 [2,4,1,3,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [2,4,1,3,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,1,5,3,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,1,5,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,6,3,5]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,6,5,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>([],1)=>0 [2,4,3,1,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [2,4,3,1,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [2,4,3,5,1,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [2,4,3,5,6,1]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [2,4,3,6,1,5]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [2,4,3,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [2,4,5,1,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,5,1,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,5,3,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [2,4,5,3,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,4,5,6,3,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,4,6,1,3,5]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>([],1)=>0 [2,4,6,3,1,5]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,1)],2)=>1 [2,4,6,3,5,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>([(0,1)],2)=>1 [2,4,6,5,3,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [2,5,1,3,4,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,1,3,6,4]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,5,1,4,3,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [2,5,1,4,6,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>([],1)=>0 [2,5,1,6,3,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,5,1,6,4,3]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>([(0,1)],2)=>1 [2,5,3,1,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>([],1)=>0 [2,5,3,1,6,4]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [2,5,3,4,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [2,5,3,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [2,5,3,6,1,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [2,5,3,6,4,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [2,5,4,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [2,5,4,1,6,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [2,5,4,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [2,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [2,5,4,6,1,3]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [2,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [2,5,6,1,3,4]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,5,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>([(0,1)],2)=>1 [2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [2,5,6,3,4,1]=>([(1,4),(1,5),(4,3),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,4,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,6,1,3,4,5]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,6,1,3,5,4]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>([],1)=>0 [2,6,1,4,3,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>([],1)=>0 [2,6,1,4,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,6,1,5,3,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [2,6,3,1,4,5]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>([],1)=>0 [2,6,3,1,5,4]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [2,6,3,4,1,5]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,1)],2)=>1 [2,6,3,4,5,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,6,3,5,1,4]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [2,6,3,5,4,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [2,6,4,1,3,5]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [2,6,4,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [2,6,4,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [2,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [2,6,4,5,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,6,5,1,3,4]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [2,6,5,3,1,4]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>([],1)=>0 [2,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,1)],2)=>1 [2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>([(0,1)],2)=>1 [3,1,2,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [3,1,2,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [3,1,2,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [3,1,4,2,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [3,1,4,2,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,5,2,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,5,6,2]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,6,2,5]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,6,5,2]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>([],1)=>0 [3,1,5,2,4,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,5,2,6,4]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,5,4,2,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [3,1,5,4,6,2]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>([],1)=>0 [3,1,5,6,2,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,1,5,6,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [3,1,6,2,4,5]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,6,2,5,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>([],1)=>0 [3,1,6,4,2,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>([],1)=>0 [3,1,6,4,5,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [3,1,6,5,2,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>([(0,1)],2)=>1 [3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>([],1)=>0 [3,2,1,4,6,5]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>([],1)=>0 [3,2,1,5,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>([],1)=>0 [3,2,1,5,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [3,2,1,6,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [3,2,1,6,5,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [3,2,4,1,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>([],1)=>0 [3,2,4,1,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [3,2,4,5,1,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>([],1)=>0 [3,2,4,5,6,1]=>([(1,5),(2,5),(3,4),(5,3)],6)=>([],1)=>0 [3,2,4,6,1,5]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>([],1)=>0 [3,2,4,6,5,1]=>([(1,5),(2,5),(5,3),(5,4)],6)=>([(0,1)],2)=>1 [3,2,5,1,4,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([],1)=>0 [3,2,5,1,6,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>([],1)=>0 [3,2,5,4,1,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [3,2,5,4,6,1]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [3,2,5,6,1,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>([],1)=>0 [3,2,5,6,4,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [3,2,6,1,4,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [3,2,6,4,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [3,2,6,4,5,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [3,4,1,2,5,6]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,1,2,6,5]=>([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,1,5,2,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,1,5,6,2]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,6,2,5]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>([],1)=>0 [3,4,2,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [3,4,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [3,4,2,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [3,4,2,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [3,4,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [3,4,2,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [3,4,5,1,2,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,4,5,1,6,2]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,4,5,2,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,4,5,6,1,2]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,4,5,6,2,1]=>([(2,3),(3,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,1,2,5]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,4,6,1,5,2]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>([],1)=>0 [3,4,6,2,1,5]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [3,4,6,2,5,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,5,1,2]=>([(0,4),(1,5),(5,2),(5,3)],6)=>([(0,1)],2)=>1 [3,4,6,5,2,1]=>([(2,3),(3,4),(3,5)],6)=>([],1)=>0 [3,5,1,2,4,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,5,1,2,6,4]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,5,1,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [3,5,1,4,6,2]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [3,5,1,6,4,2]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>([(0,1)],2)=>1 [3,5,2,1,4,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,1)],2)=>1 [3,5,2,1,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,1)],2)=>1 [3,5,2,4,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,5,2,6,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [3,5,2,6,4,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,4,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [3,5,4,1,6,2]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [3,5,4,2,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [3,5,4,2,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [3,5,4,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [3,5,4,6,2,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [3,5,6,1,2,4]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [3,5,6,1,4,2]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,1)],2)=>1 [3,5,6,2,1,4]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,5,6,4,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,6,4,2,1]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [3,6,1,2,4,5]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,6,1,2,5,4]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>([],1)=>0 [3,6,1,4,2,5]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [3,6,1,4,5,2]=>([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [3,6,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>([(0,1)],2)=>1 [3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>([],1)=>0 [3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>([(0,1)],2)=>1 [3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [3,6,2,4,1,5]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,6,2,4,5,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [3,6,4,1,2,5]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [3,6,4,2,1,5]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [3,6,4,2,5,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [3,6,4,5,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,4,5,2,1]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [3,6,5,1,2,4]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([],1)=>0 [3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1)],2)=>1 [3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>([],1)=>0 [4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [4,1,2,3,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,5,3,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,5,6,3]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,6,3,5]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,6,5,3]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [4,1,3,2,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,1,3,5,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>([],1)=>0 [4,1,3,5,6,2]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>([],1)=>0 [4,1,3,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,1,3,6,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,1,5,2,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,1,5,2,6,3]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,1,5,3,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,1,5,3,6,2]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,1,5,6,2,3]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [4,1,5,6,3,2]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [4,1,6,2,3,5]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,1,6,2,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>([],1)=>0 [4,1,6,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [4,1,6,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [4,1,6,5,2,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>([(0,1)],2)=>1 [4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>([],1)=>0 [4,2,1,3,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,2,1,5,3,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([],1)=>0 [4,2,1,5,6,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [4,2,1,6,3,5]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>([],1)=>0 [4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [4,2,3,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [4,2,3,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [4,2,3,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,2,3,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [4,2,5,1,3,6]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [4,2,5,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [4,2,5,3,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [4,2,5,6,1,3]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [4,2,5,6,3,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,1,3,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [4,2,6,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [4,3,1,2,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [4,3,1,2,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,3,1,5,2,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>([(0,1)],2)=>1 [4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>([(0,1)],2)=>1 [4,3,1,6,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,1)],2)=>1 [4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [4,3,2,1,5,6]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,3,2,5,1,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>([],1)=>0 [4,3,2,5,6,1]=>([(1,5),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,3,5,1,2,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,3,5,1,6,2]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1)],2)=>1 [4,3,5,2,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [4,3,5,2,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [4,3,5,6,1,2]=>([(0,5),(1,5),(2,3),(5,4)],6)=>([(0,1)],2)=>1 [4,3,5,6,2,1]=>([(2,5),(3,5),(5,4)],6)=>([],1)=>0 [4,3,6,1,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,1)],2)=>1 [4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,5,1,2,3,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,1,2,6,3]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,1,3,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,5,1,3,6,2]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,5,1,6,2,3]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [4,5,1,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [4,5,2,1,3,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [4,5,2,1,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,1)],2)=>1 [4,5,2,3,1,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,6,1]=>([(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,6,1,3]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,1)],2)=>1 [4,5,2,6,3,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,3,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [4,5,3,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [4,5,3,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [4,5,6,1,2,3]=>([(0,5),(1,4),(4,2),(5,3)],6)=>([(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)=>4 [4,5,6,1,3,2]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,2),(2,1)],3)=>2 [4,5,6,2,1,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,2),(2,1)],3)=>2 [4,5,6,2,3,1]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,3,1,2]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,3,2,1]=>([(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [4,6,1,2,3,5]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,6,1,2,5,3]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>([],1)=>0 [4,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [4,6,1,5,2,3]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>([(0,1)],2)=>1 [4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>([],1)=>0 [4,6,2,1,3,5]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1)],2)=>1 [4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [4,6,2,3,1,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,2,3,5,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([],1)=>0 [4,6,3,1,2,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [4,6,5,1,2,3]=>([(0,5),(1,3),(1,4),(5,2)],6)=>([(0,2),(2,1)],3)=>2 [4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>([],1)=>0 [4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([],1)=>0 [4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>([],1)=>0 [5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,2,3,6,4]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [5,1,2,4,6,3]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [5,1,2,6,3,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [5,1,2,6,4,3]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>([(0,1)],2)=>1 [5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [5,1,3,2,6,4]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [5,1,3,4,6,2]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>([(0,1)],2)=>1 [5,1,3,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,1,3,6,4,2]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,1,4,2,3,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [5,1,4,2,6,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,1)],2)=>1 [5,1,4,3,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [5,1,4,3,6,2]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [5,1,4,6,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>([],1)=>0 [5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>([(0,1)],2)=>1 [5,1,6,3,2,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [5,1,6,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>([(0,1)],2)=>1 [5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>([],1)=>0 [5,2,1,3,6,4]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>([],1)=>0 [5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [5,2,1,4,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [5,2,1,6,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>([],1)=>0 [5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [5,2,3,1,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,3,6,1,4]=>([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [5,2,3,6,4,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,4,1,3,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,6,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,4,3,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [5,2,4,3,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [5,2,4,6,1,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,4,6,3,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [5,2,6,1,3,4]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>([],1)=>0 [5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,6,3,1,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [5,2,6,3,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [5,3,1,2,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [5,3,1,2,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [5,3,1,4,2,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,6,2]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,3,1,6,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,2,1,4,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>([],1)=>0 [5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,3,2,4,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [5,3,2,4,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,3,4,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,3,4,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,3,6,1,2,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>([(0,1)],2)=>1 [5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([],1)=>0 [5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([],1)=>0 [5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,3,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,6,3]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [5,4,1,3,2,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [5,4,1,3,6,2]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [5,4,1,6,2,3]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>([(0,2),(2,1)],3)=>2 [5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [5,4,2,1,3,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [5,4,2,3,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,4,2,3,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>([],1)=>0 [5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [5,4,3,1,2,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)=>([],1)=>0 [5,4,6,1,2,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>([(0,2),(2,1)],3)=>2 [5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>([],1)=>0 [5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([],1)=>0 [5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,4,6,3,2,1]=>([(3,5),(4,5)],6)=>([],1)=>0 [5,6,1,2,3,4]=>([(0,5),(1,3),(4,2),(5,4)],6)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,6,1,2,4,3]=>([(0,4),(1,5),(5,2),(5,3)],6)=>([(0,1)],2)=>1 [5,6,1,3,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>([(0,1)],2)=>1 [5,6,1,3,4,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,4,2,3]=>([(0,4),(1,3),(1,5),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>([(0,1)],2)=>1 [5,6,2,1,3,4]=>([(0,5),(1,5),(2,3),(5,4)],6)=>([(0,1)],2)=>1 [5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,3,1,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,3,4,1]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [5,6,3,1,2,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,6,3,4,2,1]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [5,6,4,2,3,1]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,1,2]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,2,1]=>([(4,5)],6)=>([(0,1)],2)=>1 [6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6)=>([],1)=>0 [6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>([],1)=>0 [6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [6,1,2,5,3,4]=>([(1,5),(4,3),(5,2),(5,4)],6)=>([(0,1)],2)=>1 [6,1,2,5,4,3]=>([(1,5),(5,2),(5,3),(5,4)],6)=>([],1)=>0 [6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [6,1,3,5,2,4]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,1,3,5,4,2]=>([(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [6,1,4,2,3,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>([(0,1)],2)=>1 [6,1,4,2,5,3]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,1,4,3,2,5]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [6,1,4,3,5,2]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [6,1,4,5,2,3]=>([(1,4),(1,5),(4,3),(5,2)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,4,5,3,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [6,1,5,2,3,4]=>([(1,3),(1,5),(4,2),(5,4)],6)=>([(0,2),(2,1)],3)=>2 [6,1,5,2,4,3]=>([(1,4),(1,5),(5,2),(5,3)],6)=>([],1)=>0 [6,1,5,3,2,4]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>([],1)=>0 [6,1,5,3,4,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [6,1,5,4,2,3]=>([(1,3),(1,4),(1,5),(5,2)],6)=>([(0,1)],2)=>1 [6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>([],1)=>0 [6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6)=>([],1)=>0 [6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6)=>([(0,1)],2)=>1 [6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,1)],2)=>1 [6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [6,2,1,5,3,4]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>([(0,2),(2,1)],3)=>2 [6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,5,1,4]=>([(1,5),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,5,4,1]=>([(2,3),(3,4),(3,5)],6)=>([],1)=>0 [6,2,4,1,3,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,5,3]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,4,3,1,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [6,2,4,3,5,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [6,2,4,5,1,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,4,5,3,1]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [6,2,5,1,3,4]=>([(1,5),(2,3),(2,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [6,2,5,3,1,4]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [6,2,5,3,4,1]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>([],1)=>0 [6,3,1,2,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>([(0,1)],2)=>1 [6,3,1,2,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,3,1,4,2,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,3,1,4,5,2]=>([(1,5),(2,3),(2,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],1)=>0 [6,3,2,1,4,5]=>([(1,5),(2,5),(3,5),(5,4)],6)=>([],1)=>0 [6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [6,3,2,4,1,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [6,3,2,4,5,1]=>([(2,5),(3,5),(5,4)],6)=>([],1)=>0 [6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [6,3,4,1,2,5]=>([(1,4),(2,3),(3,5),(4,5)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,4,1,5,2]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,4,2,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,3,4,2,5,1]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,3,4,5,1,2]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,4,5,2,1]=>([(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,3,5,1,2,4]=>([(1,4),(2,3),(2,5),(4,5)],6)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>([],1)=>0 [6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>([],1)=>0 [6,4,1,2,3,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,4,1,2,5,3]=>([(1,5),(2,3),(3,4),(3,5)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,1,3,2,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [6,4,1,3,5,2]=>([(1,5),(2,3),(2,4),(4,5)],6)=>([],1)=>0 [6,4,1,5,2,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>([(0,1)],2)=>1 [6,4,2,1,3,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>([],1)=>0 [6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],1)=>0 [6,4,2,3,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,4,2,3,5,1]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>([],1)=>0 [6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,4,3,1,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([],1)=>0 [6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)=>([],1)=>0 [6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [6,4,3,5,2,1]=>([(3,5),(4,5)],6)=>([],1)=>0 [6,4,5,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>([(0,1)],2)=>1 [6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>([(0,1)],2)=>1 [6,4,5,2,3,1]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,1,2]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,2,1]=>([(4,5)],6)=>([(0,1)],2)=>1 [6,5,1,2,3,4]=>([(2,3),(3,5),(5,4)],6)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,2,4,3]=>([(2,3),(3,4),(3,5)],6)=>([],1)=>0 [6,5,1,3,2,4]=>([(2,3),(2,4),(3,5),(4,5)],6)=>([],1)=>0 [6,5,1,3,4,2]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [6,5,1,4,2,3]=>([(2,3),(2,4),(4,5)],6)=>([(0,1)],2)=>1 [6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>([],1)=>0 [6,5,2,1,3,4]=>([(2,5),(3,5),(5,4)],6)=>([],1)=>0 [6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,1)],2)=>1 [6,5,2,3,1,4]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,5,2,3,4,1]=>([(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>([],1)=>0 [6,5,3,1,2,4]=>([(2,5),(3,4),(4,5)],6)=>([(0,1)],2)=>1 [6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>([(0,2),(2,1)],3)=>2 [6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)=>([],1)=>0 [6,5,3,2,4,1]=>([(3,5),(4,5)],6)=>([],1)=>0 [6,5,3,4,1,2]=>([(2,5),(3,4)],6)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,3,4,2,1]=>([(4,5)],6)=>([(0,1)],2)=>1 [6,5,4,1,2,3]=>([(3,4),(4,5)],6)=>([(0,2),(2,1)],3)=>2 [6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>([],1)=>0 [6,5,4,2,1,3]=>([(3,5),(4,5)],6)=>([],1)=>0 [6,5,4,2,3,1]=>([(4,5)],6)=>([(0,1)],2)=>1 [6,5,4,3,1,2]=>([(4,5)],6)=>([(0,1)],2)=>1 [6,5,4,3,2,1]=>([],6)=>([],1)=>0 [1,2,3,4,5,6,7]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [1,2,3,4,5,7,6]=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>([],1)=>0 [1,2,3,4,6,5,7]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>([],1)=>0 [1,2,3,4,6,7,5]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [1,2,3,4,7,5,6]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [1,2,3,4,7,6,5]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,2,3,5,4,6,7]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,2,3,5,4,7,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>([(0,1)],2)=>1 [1,2,3,5,6,4,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,1)],2)=>1 [1,2,3,5,6,7,4]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,3,5,7,4,6]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,3,5,7,6,4]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,2,3,6,4,5,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>([(0,1)],2)=>1 [1,2,3,6,4,7,5]=>([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,3,6,5,4,7]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,2,3,6,5,7,4]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,2,3,6,7,4,5]=>([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,3,6,7,5,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [1,2,3,7,4,5,6]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,3,7,4,6,5]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,2,3,7,5,4,6]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,2,3,7,5,6,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [1,2,3,7,6,4,5]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [1,2,3,7,6,5,4]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [1,2,4,3,5,6,7]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [1,2,4,3,5,7,6]=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [1,2,4,3,6,5,7]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,2,4,3,6,7,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,2,4,3,7,5,6]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,2,4,3,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>([],1)=>0 [1,2,4,5,3,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,1)],2)=>1 [1,2,4,5,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,4,5,6,3,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,4,5,6,7,3]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,4,5,7,3,6]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,4,5,7,6,3]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>([],1)=>0 [1,2,4,6,3,5,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,2,4,6,3,7,5]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,4,6,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([],1)=>0 [1,2,4,6,5,7,3]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([],1)=>0 [1,2,4,6,7,3,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,2,4,6,7,5,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,2,4,7,3,5,6]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,4,7,3,6,5]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [1,2,4,7,5,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>([],1)=>0 [1,2,4,7,5,6,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,2,4,7,6,3,5]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,4,7,6,5,3]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,2,5,3,4,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>([(0,1)],2)=>1 [1,2,5,3,4,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,5,3,6,4,7]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,2,5,3,6,7,4]=>([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,5,3,7,4,6]=>([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,5,3,7,6,4]=>([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [1,2,5,4,3,6,7]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [1,2,5,4,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([],1)=>0 [1,2,5,4,6,3,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>([],1)=>0 [1,2,5,4,6,7,3]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [1,2,5,4,7,3,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([],1)=>0 [1,2,5,4,7,6,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [1,2,5,6,3,4,7]=>([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,5,6,3,7,4]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,2,5,6,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,5,6,4,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,5,6,7,3,4]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,2,5,6,7,4,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,5,7,3,4,6]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,2,5,7,3,6,4]=>([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [1,2,5,7,4,3,6]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,5,7,4,6,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,5,7,6,3,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [1,2,5,7,6,4,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>([],1)=>0 [1,2,6,3,4,5,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,2,6,3,4,7,5]=>([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,6,3,5,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([],1)=>0 [1,2,6,3,5,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>([],1)=>0 [1,2,6,3,7,4,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,2,6,3,7,5,4]=>([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,4,3,5,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>([],1)=>0 [1,2,6,4,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([],1)=>0 [1,2,6,4,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,4,5,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,4,7,3,5]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([],1)=>0 [1,2,6,4,7,5,3]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,6,5,3,4,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,5,3,7,4]=>([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,5,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,6,5,4,7,3]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,6,5,7,3,4]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,5,7,4,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,6,7,3,4,5]=>([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,2,6,7,3,5,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [1,2,6,7,4,3,5]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [1,2,6,7,4,5,3]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,6,7,5,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,6,7,5,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,3,4,5,6]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,7,3,4,6,5]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>([],1)=>0 [1,2,7,3,5,4,6]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>([],1)=>0 [1,2,7,3,5,6,4]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,3,6,4,5]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,3,6,5,4]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,2,7,4,3,5,6]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [1,2,7,4,3,6,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [1,2,7,4,5,3,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,7,4,5,6,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,7,4,6,3,5]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,7,4,6,5,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>([],1)=>0 [1,2,7,5,3,4,6]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,2,7,5,3,6,4]=>([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,7,5,4,3,6]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,7,5,4,6,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,7,5,6,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,2,7,5,6,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,6,3,4,5]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,2,7,6,3,5,4]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>([],1)=>0 [1,2,7,6,4,3,5]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [1,2,7,6,4,5,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,6,5,3,4]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [1,2,7,6,5,4,3]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [1,3,2,4,5,6,7]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>([],1)=>0 [1,3,2,4,5,7,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>([(0,1)],2)=>1 [1,3,2,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,3,2,4,6,7,5]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,3,2,4,7,5,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,3,2,4,7,6,5]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,3,2,5,4,6,7]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,2,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,2,5,6,4,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,3,2,5,6,7,4]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,2,5,7,4,6]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,2,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>([],1)=>0 [1,3,2,6,4,5,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,3,2,6,4,7,5]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,2,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,3,2,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [1,3,2,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,3,2,6,7,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,2,7,4,5,6]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,2,7,4,6,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>([],1)=>0 [1,3,2,7,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [1,3,2,7,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,2,7,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,2,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [1,3,4,2,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [1,3,4,2,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,3,4,2,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,3,4,2,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,2,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>([],1)=>0 [1,3,4,5,2,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [1,3,4,5,2,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,5,6,2,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,5,6,7,2]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,4,5,7,2,6]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,4,5,7,6,2]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>([],1)=>0 [1,3,4,6,2,5,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,4,6,2,7,5]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,4,6,5,2,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,3,4,6,5,7,2]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,3,4,6,7,2,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [1,3,4,6,7,5,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,1)],2)=>1 [1,3,4,7,2,5,6]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,4,7,2,6,5]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>([],1)=>0 [1,3,4,7,5,2,6]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,3,4,7,5,6,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,1)],2)=>1 [1,3,4,7,6,2,5]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,3,4,7,6,5,2]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,3,5,2,4,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,3,5,2,4,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,5,2,6,4,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,5,2,6,7,4]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,5,2,7,4,6]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,5,2,7,6,4]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>([],1)=>0 [1,3,5,4,2,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,3,5,4,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,3,5,4,6,2,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>([],1)=>0 [1,3,5,4,6,7,2]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,3,5,4,7,2,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,3,5,4,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>([(0,1)],2)=>1 [1,3,5,6,2,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,3,5,6,2,7,4]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,3,5,6,4,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,3,5,6,4,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,3,5,6,7,2,4]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [1,3,5,6,7,4,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,5,7,2,4,6]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,3,5,7,2,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>([],1)=>0 [1,3,5,7,4,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,3,5,7,4,6,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,5,7,6,2,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,3,5,7,6,4,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,3,6,2,4,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,6,2,4,7,5]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,6,2,5,4,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [1,3,6,2,5,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [1,3,6,2,7,4,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [1,3,6,2,7,5,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,3,6,4,2,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>([],1)=>0 [1,3,6,4,2,7,5]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,3,6,4,5,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,3,6,4,5,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,3,6,4,7,2,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,3,6,4,7,5,2]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,6,5,2,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [1,3,6,5,2,7,4]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>([(0,1)],2)=>1 [1,3,6,5,4,2,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,6,5,4,7,2]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,6,5,7,2,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [1,3,6,5,7,4,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,6,7,2,4,5]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [1,3,6,7,2,5,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,3,6,7,4,2,5]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,3,6,7,4,5,2]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,3,6,7,5,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,3,6,7,5,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,3,7,2,4,5,6]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,7,2,4,6,5]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [1,3,7,2,5,4,6]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [1,3,7,2,5,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,7,2,6,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,1)],2)=>1 [1,3,7,2,6,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [1,3,7,4,2,5,6]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,3,7,4,2,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,1)],2)=>1 [1,3,7,4,5,2,6]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,3,7,4,5,6,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,7,4,6,2,5]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,3,7,4,6,5,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,3,7,5,2,4,6]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [1,3,7,5,2,6,4]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,3,7,5,4,2,6]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,7,5,4,6,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,7,5,6,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,3,7,5,6,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,3,7,6,2,4,5]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,3,7,6,2,5,4]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [1,3,7,6,4,2,5]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,3,7,6,4,5,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,3,7,6,5,2,4]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [1,3,7,6,5,4,2]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [1,4,2,3,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [1,4,2,3,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,4,2,3,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,2,3,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,3,7,5,6]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,3,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>([],1)=>0 [1,4,2,5,3,6,7]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,4,2,5,3,7,6]=>([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,5,6,3,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,5,6,7,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,4,2,5,7,3,6]=>([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,4,2,5,7,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [1,4,2,6,3,5,7]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,2,6,3,7,5]=>([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,4,2,6,5,3,7]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [1,4,2,6,5,7,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [1,4,2,6,7,3,5]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [1,4,2,6,7,5,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,1)],2)=>1 [1,4,2,7,3,5,6]=>([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,4,2,7,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>([],1)=>0 [1,4,2,7,5,3,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [1,4,2,7,5,6,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>([(0,1)],2)=>1 [1,4,2,7,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,4,2,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [1,4,3,2,5,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>([],1)=>0 [1,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>([],1)=>0 [1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [1,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,4,3,2,7,5,6]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,4,3,5,2,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>([],1)=>0 [1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,4,3,5,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>([],1)=>0 [1,4,3,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>([],1)=>0 [1,4,3,5,7,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>([],1)=>0 [1,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,4,3,6,2,5,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [1,4,3,6,2,7,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,4,3,6,7,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>([],1)=>0 [1,4,3,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,4,3,7,2,5,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,4,3,7,2,6,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,4,3,7,5,2,6]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [1,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [1,4,5,2,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,5,2,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,4,5,2,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,4,5,2,6,7,3]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [1,4,5,2,7,3,6]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [1,4,5,2,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,4,5,3,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,4,5,3,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,4,5,3,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,4,5,3,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,4,5,3,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,4,5,3,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,2),(2,1)],3)=>2 [1,4,5,6,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,4,5,6,2,7,3]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [1,4,5,6,3,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,4,5,6,3,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,4,5,6,7,2,3]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [1,4,5,6,7,3,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,5,7,2,3,6]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [1,4,5,7,2,6,3]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>([],1)=>0 [1,4,5,7,3,2,6]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,4,5,7,3,6,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,5,7,6,2,3]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,4,5,7,6,3,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>([],1)=>0 [1,4,6,2,3,5,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,4,6,2,3,7,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [1,4,6,2,5,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>([],1)=>0 [1,4,6,2,5,7,3]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([],1)=>0 [1,4,6,2,7,3,5]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [1,4,6,2,7,5,3]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,4,6,3,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [1,4,6,3,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1)],2)=>1 [1,4,6,3,5,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,6,3,5,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,6,3,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1)],2)=>1 [1,4,6,3,7,5,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,6,5,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,4,6,5,2,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [1,4,6,5,3,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,4,6,5,3,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,4,6,5,7,2,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [1,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>([],1)=>0 [1,4,6,7,2,3,5]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [1,4,6,7,2,5,3]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,4,6,7,3,2,5]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,6,7,3,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,4,6,7,5,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,6,7,5,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,4,7,2,3,5,6]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [1,4,7,2,3,6,5]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,4,7,2,5,3,6]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>([],1)=>0 [1,4,7,2,5,6,3]=>([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [1,4,7,2,6,3,5]=>([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,4,7,2,6,5,3]=>([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,4,7,3,2,5,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,1)],2)=>1 [1,4,7,3,2,6,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,7,3,5,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,7,3,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,7,3,6,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,7,3,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,4,7,5,2,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,4,7,5,2,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,4,7,5,3,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,4,7,5,3,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,4,7,5,6,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,7,5,6,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,4,7,6,2,3,5]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,4,7,6,2,5,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>([],1)=>0 [1,4,7,6,3,2,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>([],1)=>0 [1,4,7,6,3,5,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,4,7,6,5,2,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [1,4,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,5,2,3,4,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [1,5,2,3,4,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,2,3,6,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,2,3,6,7,4]=>([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,5,2,3,7,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,5,2,3,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>([],1)=>0 [1,5,2,4,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,5,2,4,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,5,2,4,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>([],1)=>0 [1,5,2,4,6,7,3]=>([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,5,2,4,7,3,6]=>([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,5,2,4,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>([(0,1)],2)=>1 [1,5,2,6,3,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,5,2,6,3,7,4]=>([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,5,2,6,4,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [1,5,2,6,4,7,3]=>([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [1,5,2,6,7,3,4]=>([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [1,5,2,6,7,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [1,5,2,7,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,5,2,7,3,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>([],1)=>0 [1,5,2,7,4,3,6]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>([(0,1)],2)=>1 [1,5,2,7,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,2,7,6,3,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,5,2,7,6,4,3]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [1,5,3,2,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>([],1)=>0 [1,5,3,2,4,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,3,2,6,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [1,5,3,2,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,5,3,2,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [1,5,3,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,5,3,4,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,3,4,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,3,4,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,3,4,7,2,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,3,4,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,2),(2,1)],3)=>2 [1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [1,5,3,6,4,2,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,3,6,4,7,2]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,3,6,7,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,3,7,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [1,5,3,7,4,2,6]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [1,5,3,7,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,3,7,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,2,3,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,4,2,3,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,4,2,6,3,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [1,5,4,2,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,1)],2)=>1 [1,5,4,2,7,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1)],2)=>1 [1,5,4,2,7,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [1,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,5,4,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,6,2,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,5,4,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,5,4,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,5,4,6,7,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,5,4,7,2,3,6]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,4,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,5,4,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,5,6,2,3,4,7]=>([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,6,2,3,7,4]=>([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [1,5,6,2,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,5,6,2,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,5,6,2,7,3,4]=>([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [1,5,6,2,7,4,3]=>([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,6,3,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,6,3,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,6,3,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,3,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,3,7,2,4]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,5,6,3,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,4,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,5,6,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,5,6,4,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,5,6,7,2,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>([(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)=>4 [1,5,6,7,2,4,3]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [1,5,6,7,3,2,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,5,6,7,3,4,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,6,7,4,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,5,7,2,3,4,6]=>([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [1,5,7,2,3,6,4]=>([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>([],1)=>0 [1,5,7,2,4,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [1,5,7,2,4,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [1,5,7,2,6,3,4]=>([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,7,2,6,4,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>([],1)=>0 [1,5,7,3,2,4,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,5,7,3,2,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,7,3,4,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,7,3,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,5,7,3,6,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,7,3,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>([],1)=>0 [1,5,7,4,2,3,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,5,7,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,7,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,5,7,6,2,3,4]=>([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [1,5,7,6,2,4,3]=>([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>([],1)=>0 [1,5,7,6,3,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,5,7,6,3,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,7,6,4,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>([],1)=>0 [1,6,2,3,4,5,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,2,3,4,7,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,6,2,3,5,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,6,2,3,5,7,4]=>([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,6,2,3,7,4,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [1,6,2,3,7,5,4]=>([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,6,2,4,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>([],1)=>0 [1,6,2,4,3,7,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,6,2,4,5,3,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,6,2,4,5,7,3]=>([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,6,2,4,7,3,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>([],1)=>0 [1,6,2,4,7,5,3]=>([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,2,5,3,4,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,6,2,5,3,7,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,6,2,5,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,6,2,5,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,6,2,5,7,3,4]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [1,6,2,5,7,4,3]=>([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,6,2,7,3,4,5]=>([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [1,6,2,7,3,5,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>([(0,1)],2)=>1 [1,6,2,7,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [1,6,2,7,4,5,3]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,2,7,5,3,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,2,7,5,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [1,6,3,2,4,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>([],1)=>0 [1,6,3,2,4,7,5]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>([],1)=>0 [1,6,3,2,5,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,6,3,2,5,7,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [1,6,3,2,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>([],1)=>0 [1,6,3,2,7,5,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,4,2,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,6,3,4,2,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,6,3,4,5,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,4,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)=>([(0,1)],2)=>1 [1,6,3,4,7,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,3,5,2,4,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,5,2,7,4]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,3,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,3,5,7,2,4]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,5,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>([],1)=>0 [1,6,3,7,2,5,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,7,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,3,7,4,5,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,6,3,7,5,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,6,4,2,3,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>([(0,1)],2)=>1 [1,6,4,2,3,7,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,6,4,2,5,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,4,2,5,7,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,4,2,7,3,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,1)],2)=>1 [1,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,4,3,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [1,6,4,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,6,4,3,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,6,4,5,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,4,5,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,4,5,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,4,5,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,4,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,4,7,2,3,5]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>([(0,1)],2)=>1 [1,6,4,7,2,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,4,7,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [1,6,4,7,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [1,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,4,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,3,4,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,3,7,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,4,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,5,2,4,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,5,2,7,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>([],1)=>0 [1,6,5,3,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,6,5,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,6,5,3,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,3,4,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,3,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [1,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,6,5,4,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,4,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,6,5,4,7,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,4,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,6,5,7,2,3,4]=>([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,6,5,7,2,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [1,6,5,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,7,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>([],1)=>0 [1,6,7,2,3,4,5]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [1,6,7,2,3,5,4]=>([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,6,7,2,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [1,6,7,2,4,5,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,2,5,3,4]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,2,5,4,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [1,6,7,3,2,4,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,6,7,3,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,3,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,3,4,5,2]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,7,3,5,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,7,3,5,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,6,7,4,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,4,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,7,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,7,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [1,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,5,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,7,5,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,6,7,5,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,1)],2)=>1 [1,7,2,3,4,5,6]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,7,2,3,4,6,5]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>([],1)=>0 [1,7,2,3,5,4,6]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>([],1)=>0 [1,7,2,3,5,6,4]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,1)],2)=>1 [1,7,2,3,6,4,5]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>([(0,1)],2)=>1 [1,7,2,3,6,5,4]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,7,2,4,3,5,6]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>([],1)=>0 [1,7,2,4,3,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>([(0,1)],2)=>1 [1,7,2,4,5,3,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,7,2,4,5,6,3]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,2,4,6,3,5]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,2,4,6,5,3]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,7,2,5,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>([(0,1)],2)=>1 [1,7,2,5,3,6,4]=>([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,2,5,4,3,6]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,7,2,5,4,6,3]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,7,2,5,6,3,4]=>([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,2,5,6,4,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,7,2,6,3,4,5]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,2,6,3,5,4]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>([],1)=>0 [1,7,2,6,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>([],1)=>0 [1,7,2,6,4,5,3]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,7,2,6,5,3,4]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [1,7,2,6,5,4,3]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [1,7,3,2,4,5,6]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>([],1)=>0 [1,7,3,2,4,6,5]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,7,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [1,7,3,2,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,7,3,2,6,4,5]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>([(0,2),(2,1)],3)=>2 [1,7,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [1,7,3,4,2,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,7,3,4,2,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,2),(2,1)],3)=>2 [1,7,3,4,5,2,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,3,4,5,6,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,3,4,6,2,5]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>([],1)=>0 [1,7,3,5,2,4,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,3,5,2,6,4]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,3,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,3,5,6,2,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,7,3,5,6,4,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,7,3,6,2,4,5]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,3,6,2,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,7,3,6,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,3,6,4,5,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,7,3,6,5,2,4]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,7,4,2,3,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>([(0,1)],2)=>1 [1,7,4,2,3,6,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>([(0,2),(2,1)],3)=>2 [1,7,4,2,5,3,6]=>([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,4,2,5,6,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,4,2,6,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>([],1)=>0 [1,7,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,7,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,7,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,7,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,7,4,5,2,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,4,5,2,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,4,5,6,2,3]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,7,4,6,2,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [1,7,4,6,2,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>([],1)=>0 [1,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,7,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,4,6,5,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>([],1)=>0 [1,7,5,2,3,4,6]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [1,7,5,2,3,6,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,5,2,4,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,5,2,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,5,2,6,3,4]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,7,5,2,6,4,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [1,7,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [1,7,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [1,7,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [1,7,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>([(0,1)],2)=>1 [1,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,7,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>([],1)=>0 [1,7,5,6,2,3,4]=>([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,7,5,6,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>([(0,1)],2)=>1 [1,7,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,1)],2)=>1 [1,7,6,2,3,4,5]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,6,2,3,5,4]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>([],1)=>0 [1,7,6,2,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>([],1)=>0 [1,7,6,2,4,5,3]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,7,6,2,5,3,4]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>([(0,1)],2)=>1 [1,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>([],1)=>0 [1,7,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>([],1)=>0 [1,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [1,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,7,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>([],1)=>0 [1,7,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>([(0,1)],2)=>1 [1,7,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [1,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [1,7,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>([],1)=>0 [1,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,1)],2)=>1 [1,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [1,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>([],1)=>0 [1,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>([],1)=>0 [1,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,1)],2)=>1 [1,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>([(0,1)],2)=>1 [1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>([],1)=>0 [2,1,3,4,5,6,7]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>([],1)=>0 [2,1,3,4,5,7,6]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [2,1,3,4,6,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>([(0,1)],2)=>1 [2,1,3,4,6,7,5]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,1,3,4,7,5,6]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,1,3,4,7,6,5]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>([],1)=>0 [2,1,3,5,4,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,3,5,4,7,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,1,3,5,6,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,3,5,6,7,4]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,3,5,7,4,6]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,3,5,7,6,4]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>([],1)=>0 [2,1,3,6,4,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,3,6,4,7,5]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,3,6,5,4,7]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,1,3,6,5,7,4]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,3,6,7,4,5]=>([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,1,3,6,7,5,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,1,3,7,4,5,6]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,3,7,4,6,5]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>([],1)=>0 [2,1,3,7,5,4,6]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,3,7,5,6,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,1,3,7,6,4,5]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,1,3,7,6,5,4]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [2,1,4,3,5,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [2,1,4,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,4,3,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,4,3,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,3,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,3,7,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,4,5,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,4,5,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,5,6,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,5,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,5,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,5,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>([],1)=>0 [2,1,4,6,3,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,6,3,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,6,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,1,4,6,5,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>([],1)=>0 [2,1,4,6,7,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,1,4,6,7,5,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,1,4,7,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,7,3,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,4,7,5,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [2,1,4,7,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,1,4,7,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [2,1,4,7,6,5,3]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,5,3,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,1,5,3,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,5,3,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,5,3,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,5,3,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,5,3,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,5,4,3,6,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([],1)=>0 [2,1,5,4,3,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,1,5,4,6,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>([],1)=>0 [2,1,5,4,6,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>([],1)=>0 [2,1,5,4,7,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>([],1)=>0 [2,1,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,5,6,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,1,5,6,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,1,5,6,4,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,1,5,6,4,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,5,6,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,1,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,1,5,7,3,4,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,1,5,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>([],1)=>0 [2,1,5,7,4,3,6]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,1,5,7,4,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,1,5,7,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,5,7,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,1,6,3,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,6,3,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,6,3,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,1,6,3,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [2,1,6,3,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,1,6,3,7,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [2,1,6,4,3,5,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>([],1)=>0 [2,1,6,4,3,7,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>([],1)=>0 [2,1,6,4,5,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,1,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,6,4,7,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)=>([],1)=>0 [2,1,6,4,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,1,6,5,3,4,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,1,6,5,3,7,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,1,6,5,4,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,1,6,5,4,7,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,1,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [2,1,6,5,7,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>([],1)=>0 [2,1,6,7,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,1,6,7,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,6,7,4,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [2,1,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,6,7,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,1,7,3,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,7,3,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>([],1)=>0 [2,1,7,3,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>([],1)=>0 [2,1,7,3,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,1,7,3,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,1,7,3,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,1,7,4,3,5,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>([],1)=>0 [2,1,7,4,3,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,7,4,5,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,7,4,5,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,1,7,4,6,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,1,7,4,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,1,7,5,3,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>([(0,1)],2)=>1 [2,1,7,5,3,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,1,7,5,4,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,1,7,5,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>([],1)=>0 [2,1,7,5,6,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,7,5,6,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,1,7,6,3,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,1,7,6,3,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,1,7,6,4,3,5]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>([],1)=>0 [2,1,7,6,4,5,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,1,7,6,5,3,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [2,3,1,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [2,3,1,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,3,1,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,1,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [2,3,1,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,1,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,1,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,1,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [2,3,1,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,1,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,3,1,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [2,3,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,3,1,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [2,3,1,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,1,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [2,3,1,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [2,3,1,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [2,3,1,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [2,3,1,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [2,3,4,1,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,3,4,1,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,1,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,1,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [2,3,4,5,1,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,5,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,5,6,1,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,5,6,7,1]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,4,5,7,1,6]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,4,5,7,6,1]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>([],1)=>0 [2,3,4,6,1,5,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,4,6,1,7,5]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,4,6,5,1,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [2,3,4,6,5,7,1]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [2,3,4,6,7,1,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [2,3,4,6,7,5,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,3,4,7,1,5,6]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,4,7,1,6,5]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [2,3,4,7,5,1,6]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [2,3,4,7,5,6,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [2,3,4,7,6,1,5]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [2,3,4,7,6,5,1]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,3,5,1,4,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,5,1,4,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,5,1,6,4,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,5,1,7,4,6]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,5,1,7,6,4]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [2,3,5,4,1,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [2,3,5,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [2,3,5,4,6,1,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>([],1)=>0 [2,3,5,4,6,7,1]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [2,3,5,4,7,1,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [2,3,5,4,7,6,1]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [2,3,5,6,1,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,3,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,3,5,6,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [2,3,5,6,4,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [2,3,5,6,7,1,4]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,3,5,6,7,4,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,5,7,1,4,6]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,3,5,7,1,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>([],1)=>0 [2,3,5,7,4,1,6]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [2,3,5,7,4,6,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,5,7,6,1,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [2,3,5,7,6,4,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>([],1)=>0 [2,3,6,1,4,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,3,6,1,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,6,1,5,4,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,3,6,1,5,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [2,3,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [2,3,6,1,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [2,3,6,4,1,5,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>([],1)=>0 [2,3,6,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [2,3,6,4,5,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [2,3,6,4,5,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [2,3,6,4,7,1,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [2,3,6,4,7,5,1]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,6,5,1,4,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [2,3,6,5,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>([(0,1)],2)=>1 [2,3,6,5,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,6,5,4,7,1]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,6,5,7,1,4]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,1)],2)=>1 [2,3,6,5,7,4,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,6,7,1,4,5]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,3,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,3,6,7,4,1,5]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [2,3,6,7,4,5,1]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,3,6,7,5,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,3,6,7,5,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [2,3,7,1,4,5,6]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,7,1,4,6,5]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [2,3,7,1,5,4,6]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [2,3,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [2,3,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [2,3,7,1,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [2,3,7,4,1,5,6]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [2,3,7,4,1,6,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [2,3,7,4,5,1,6]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [2,3,7,4,5,6,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,7,4,6,1,5]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,7,4,6,5,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>([],1)=>0 [2,3,7,5,1,4,6]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [2,3,7,5,1,6,4]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [2,3,7,5,4,1,6]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,7,5,4,6,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,7,5,6,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,3,7,5,6,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [2,3,7,6,1,4,5]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,3,7,6,1,5,4]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>([],1)=>0 [2,3,7,6,4,1,5]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [2,3,7,6,4,5,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [2,3,7,6,5,1,4]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [2,3,7,6,5,4,1]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [2,4,1,3,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,4,1,3,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,1,3,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,1,3,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,3,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,3,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [2,4,1,5,3,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,1,5,3,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,5,6,3,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,5,6,7,3]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,5,7,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,5,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [2,4,1,6,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,6,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,6,5,3,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,4,1,6,5,7,3]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [2,4,1,6,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [2,4,1,6,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,1)],2)=>1 [2,4,1,7,3,5,6]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,7,3,6,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([],1)=>0 [2,4,1,7,5,3,6]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>([],1)=>0 [2,4,1,7,5,6,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,1)],2)=>1 [2,4,1,7,6,3,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>([(0,1)],2)=>1 [2,4,1,7,6,5,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>([],1)=>0 [2,4,3,1,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [2,4,3,1,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [2,4,3,1,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [2,4,3,1,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [2,4,3,1,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [2,4,3,1,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [2,4,3,5,1,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>([],1)=>0 [2,4,3,5,1,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [2,4,3,5,6,1,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [2,4,3,5,6,7,1]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [2,4,3,5,7,1,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>([],1)=>0 [2,4,3,5,7,6,1]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,4,3,6,1,5,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [2,4,3,6,1,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [2,4,3,6,5,1,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,4,3,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [2,4,3,6,7,1,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [2,4,3,6,7,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,4,3,7,1,5,6]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [2,4,3,7,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [2,4,3,7,5,1,6]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [2,4,3,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,4,3,7,6,1,5]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,3,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [2,4,5,1,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,5,1,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,5,1,6,3,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,5,1,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [2,4,5,1,7,3,6]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [2,4,5,1,7,6,3]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>([],1)=>0 [2,4,5,3,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,4,5,3,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,4,5,3,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [2,4,5,3,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,4,5,3,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,4,5,3,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [2,4,5,6,1,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,4,5,6,1,7,3]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [2,4,5,6,3,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,4,5,6,3,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [2,4,5,6,7,3,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,5,7,1,3,6]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [2,4,5,7,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>([],1)=>0 [2,4,5,7,3,1,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,5,7,3,6,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,5,7,6,1,3]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [2,4,5,7,6,3,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [2,4,6,1,3,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,6,1,3,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [2,4,6,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,4,6,1,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>([],1)=>0 [2,4,6,1,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>5 [2,4,6,1,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>([(0,1)],2)=>1 [2,4,6,3,1,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [2,4,6,3,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [2,4,6,3,5,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,6,3,5,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,6,3,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [2,4,6,3,7,5,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,6,5,1,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>([(0,1)],2)=>1 [2,4,6,5,1,7,3]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [2,4,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,4,6,5,3,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,4,6,5,7,1,3]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [2,4,6,5,7,3,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [2,4,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>([(0,1)],2)=>1 [2,4,6,7,3,1,5]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,6,7,3,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,6,7,5,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,4,6,7,5,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [2,4,7,1,3,5,6]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [2,4,7,1,3,6,5]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [2,4,7,1,5,3,6]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>([],1)=>0 [2,4,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [2,4,7,1,6,3,5]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>([(0,1)],2)=>1 [2,4,7,1,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>([],1)=>0 [2,4,7,3,1,5,6]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [2,4,7,3,1,6,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,7,3,5,1,6]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,4,7,3,5,6,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,7,3,6,1,5]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,7,3,6,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [2,4,7,5,1,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,1)],2)=>1 [2,4,7,5,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [2,4,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,4,7,5,3,6,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,4,7,5,6,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [2,4,7,6,1,3,5]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,4,7,6,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>([],1)=>0 [2,4,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([],1)=>0 [2,4,7,6,3,5,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [2,4,7,6,5,3,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,5,1,3,4,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,1,3,4,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,5,1,3,6,4,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,5,1,3,6,7,4]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,5,1,3,7,4,6]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,5,1,3,7,6,4]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>([],1)=>0 [2,5,1,4,3,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>([],1)=>0 [2,5,1,4,3,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,1,4,6,3,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>([],1)=>0 [2,5,1,4,6,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>([],1)=>0 [2,5,1,4,7,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>([],1)=>0 [2,5,1,4,7,6,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [2,5,1,6,3,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,5,1,6,3,7,4]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,5,1,6,4,3,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,5,1,6,4,7,3]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [2,5,1,6,7,3,4]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,5,1,6,7,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [2,5,1,7,3,4,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,5,1,7,3,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>([],1)=>0 [2,5,1,7,4,3,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,5,1,7,4,6,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,5,1,7,6,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>([(0,1)],2)=>1 [2,5,1,7,6,4,3]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>([],1)=>0 [2,5,3,1,4,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>([],1)=>0 [2,5,3,1,4,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [2,5,3,1,6,4,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [2,5,3,1,6,7,4]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [2,5,3,1,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [2,5,3,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [2,5,3,4,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,5,3,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,5,3,4,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [2,5,3,4,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,5,3,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,5,3,4,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [2,5,3,6,1,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [2,5,3,6,1,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [2,5,3,6,4,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,3,6,4,7,1]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,3,6,7,1,4]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [2,5,3,6,7,4,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,3,7,1,4,6]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [2,5,3,7,1,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [2,5,3,7,4,1,6]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [2,5,3,7,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,3,7,6,1,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,3,7,6,4,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,1,3,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [2,5,4,1,3,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,5,4,1,6,3,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [2,5,4,1,6,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [2,5,4,1,7,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [2,5,4,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,4,3,1,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,5,4,3,1,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,3,6,1,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,5,4,3,7,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,6,1,3,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [2,5,4,6,1,7,3]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [2,5,4,6,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [2,5,4,6,3,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [2,5,4,6,7,1,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [2,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,5,4,7,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [2,5,4,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,4,7,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,7,3,6,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,5,4,7,6,1,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,4,7,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,5,6,1,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,5,6,1,3,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [2,5,6,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,5,6,1,4,7,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>([(0,1)],2)=>1 [2,5,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [2,5,6,1,7,4,3]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,2),(2,1)],3)=>2 [2,5,6,3,1,4,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,1)],2)=>1 [2,5,6,3,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,5,6,3,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,3,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,3,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [2,5,6,3,7,4,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,5,6,4,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,4,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,4,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,5,6,4,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,5,6,4,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,4,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,5,6,7,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [2,5,6,7,3,1,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,5,6,7,3,4,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,5,6,7,4,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,5,6,7,4,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,5,7,1,3,4,6]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [2,5,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>([],1)=>0 [2,5,7,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,5,7,1,4,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,5,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>([(0,1)],2)=>1 [2,5,7,1,6,4,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>([],1)=>0 [2,5,7,3,1,4,6]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [2,5,7,3,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,7,3,4,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,7,3,4,6,1]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,5,7,3,6,1,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,7,3,6,4,1]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([],1)=>0 [2,5,7,4,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,7,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,5,7,4,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,5,7,4,3,6,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,5,7,4,6,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,5,7,4,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,5,7,6,1,3,4]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,5,7,6,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>([],1)=>0 [2,5,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,5,7,6,3,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,5,7,6,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [2,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,6,1,3,4,5,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,6,1,3,4,7,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,6,1,3,5,4,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [2,6,1,3,5,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>([],1)=>0 [2,6,1,3,7,4,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [2,6,1,3,7,5,4]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [2,6,1,4,3,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>([],1)=>0 [2,6,1,4,3,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>([],1)=>0 [2,6,1,4,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,1,4,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>([(0,1)],2)=>1 [2,6,1,4,7,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>([],1)=>0 [2,6,1,4,7,5,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,1,5,3,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,1,5,3,7,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,6,1,5,4,3,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,1,5,4,7,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,1,5,7,3,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,6,1,5,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>([],1)=>0 [2,6,1,7,3,4,5]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,6,1,7,3,5,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,6,1,7,4,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [2,6,1,7,4,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,1,7,5,3,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,1,7,5,4,3]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1)],2)=>1 [2,6,3,1,4,5,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>([],1)=>0 [2,6,3,1,4,7,5]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>([],1)=>0 [2,6,3,1,5,4,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,6,3,1,5,7,4]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [2,6,3,1,7,4,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [2,6,3,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,4,1,5,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [2,6,3,4,1,7,5]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,1)],2)=>1 [2,6,3,4,5,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,4,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,1)],2)=>1 [2,6,3,4,7,5,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,6,3,5,1,4,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,6,3,5,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,6,3,5,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,5,7,4,1]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [2,6,3,7,1,4,5]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [2,6,3,7,1,5,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,7,4,1,5]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [2,6,3,7,4,5,1]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,6,3,7,5,1,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,6,3,7,5,4,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [2,6,4,1,3,5,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [2,6,4,1,3,7,5]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,6,4,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,4,1,5,7,3]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,4,1,7,3,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [2,6,4,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,6,4,3,1,5,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [2,6,4,3,1,7,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,6,4,3,5,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [2,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [2,6,4,3,7,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,6,4,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,6,4,5,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,4,5,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,4,5,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,4,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,4,5,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,4,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,6,4,7,1,3,5]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,1)],2)=>1 [2,6,4,7,1,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,6,4,7,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [2,6,4,7,3,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [2,6,4,7,5,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,4,7,5,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,5,1,3,4,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,5,1,3,7,4]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,6,5,1,4,3,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,5,1,4,7,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>([],1)=>0 [2,6,5,1,7,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,6,5,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>([],1)=>0 [2,6,5,3,1,4,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [2,6,5,3,1,7,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,6,5,3,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,5,3,4,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,5,3,7,1,4]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,6,5,3,7,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,6,5,4,1,3,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,6,5,4,1,7,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [2,6,5,4,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,5,4,3,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,5,4,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [2,6,5,4,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,6,5,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,6,5,7,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>([],1)=>0 [2,6,5,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [2,6,5,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,5,7,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>([(0,1)],2)=>1 [2,6,5,7,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [2,6,7,1,3,4,5]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [2,6,7,1,3,5,4]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [2,6,7,1,4,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [2,6,7,1,4,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,1,5,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>([(0,1)],2)=>1 [2,6,7,3,1,4,5]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [2,6,7,3,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,3,4,5,1]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,7,3,5,1,4]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,7,3,5,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [2,6,7,4,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,4,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,7,4,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,7,4,3,5,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,7,4,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [2,6,7,4,5,3,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,5,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,7,5,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [2,6,7,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,6,7,5,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,5,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,1,3,4,5,6]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,7,1,3,4,6,5]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>([],1)=>0 [2,7,1,3,5,4,6]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>([],1)=>0 [2,7,1,3,5,6,4]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,7,1,3,6,4,5]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,7,1,3,6,5,4]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [2,7,1,4,3,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>([],1)=>0 [2,7,1,4,3,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [2,7,1,4,5,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [2,7,1,4,5,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,1,4,6,3,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,1,4,6,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,7,1,5,3,4,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [2,7,1,5,3,6,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,1,5,4,3,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,7,1,5,4,6,3]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>([],1)=>0 [2,7,1,5,6,3,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,1,5,6,4,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,1,6,3,4,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,1,6,3,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,7,1,6,4,3,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>([],1)=>0 [2,7,1,6,4,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,1,6,5,3,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,1,6,5,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [2,7,3,1,4,5,6]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [2,7,3,1,4,6,5]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [2,7,3,1,5,4,6]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [2,7,3,1,5,6,4]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,7,3,1,6,4,5]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [2,7,3,1,6,5,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [2,7,3,4,1,5,6]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [2,7,3,4,1,6,5]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [2,7,3,4,5,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,3,4,5,6,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,3,4,6,1,5]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,3,4,6,5,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [2,7,3,5,1,4,6]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,3,5,1,6,4]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,3,5,4,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [2,7,3,5,4,6,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [2,7,3,5,6,1,4]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,7,3,5,6,4,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [2,7,3,6,1,4,5]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,3,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [2,7,3,6,4,1,5]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>([],1)=>0 [2,7,3,6,4,5,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [2,7,3,6,5,1,4]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [2,7,3,6,5,4,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [2,7,4,1,3,5,6]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,4,1,3,6,5]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,4,1,5,3,6]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [2,7,4,1,5,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,4,1,6,3,5]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,4,1,6,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([],1)=>0 [2,7,4,3,1,5,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,7,4,3,1,6,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,7,4,3,5,1,6]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [2,7,4,3,5,6,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [2,7,4,3,6,1,5]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,7,4,3,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,7,4,5,1,3,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,4,5,1,6,3]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,7,4,5,3,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,7,4,5,3,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,7,4,5,6,1,3]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,7,4,5,6,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,4,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,7,4,6,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>([],1)=>0 [2,7,4,6,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [2,7,4,6,3,5,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,7,4,6,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [2,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,7,5,1,3,4,6]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [2,7,5,1,3,6,4]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,5,1,4,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,7,5,1,4,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>([],1)=>0 [2,7,5,1,6,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,7,5,1,6,4,3]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,1)],2)=>1 [2,7,5,3,1,4,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [2,7,5,3,1,6,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [2,7,5,3,4,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,7,5,3,4,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [2,7,5,3,6,1,4]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [2,7,5,3,6,4,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,7,5,4,1,3,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [2,7,5,4,1,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [2,7,5,4,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,7,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [2,7,5,4,6,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>([(0,1)],2)=>1 [2,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [2,7,5,6,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,7,5,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [2,7,5,6,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [2,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,5,6,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,6,1,3,4,5]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,6,1,3,5,4]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>([],1)=>0 [2,7,6,1,4,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>([],1)=>0 [2,7,6,1,4,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,6,1,5,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,6,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [2,7,6,3,1,4,5]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>([],1)=>0 [2,7,6,3,1,5,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [2,7,6,3,4,1,5]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [2,7,6,3,4,5,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,6,3,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [2,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [2,7,6,4,1,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [2,7,6,4,1,5,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,6,4,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [2,7,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [2,7,6,4,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,6,5,1,3,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [2,7,6,5,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [2,7,6,5,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>([],1)=>0 [2,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,1)],2)=>1 [2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [3,1,2,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [3,1,2,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,1,2,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,2,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,4,7,5,6]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [3,1,2,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,2,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,5,7,4,6]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [3,1,2,6,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,6,4,7,5]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,1,2,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [3,1,2,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,1,2,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,2,7,4,5,6]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,7,4,6,5]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [3,1,2,7,5,4,6]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [3,1,2,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,2,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,2,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,1,4,2,5,6,7]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,1,4,2,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,2,6,5,7]=>([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,2,6,7,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,2,7,5,6]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,2,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [3,1,4,5,2,6,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,5,2,7,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,5,6,2,7]=>([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,5,6,7,2]=>([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,4,5,7,2,6]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,4,5,7,6,2]=>([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>([],1)=>0 [3,1,4,6,2,5,7]=>([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,6,2,7,5]=>([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,4,6,5,2,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [3,1,4,6,5,7,2]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>([],1)=>0 [3,1,4,6,7,2,5]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [3,1,4,6,7,5,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,1,4,7,2,5,6]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,4,7,2,6,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>([],1)=>0 [3,1,4,7,5,2,6]=>([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>([],1)=>0 [3,1,4,7,5,6,2]=>([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,1,4,7,6,2,5]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [3,1,4,7,6,5,2]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [3,1,5,2,4,6,7]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,5,2,4,7,6]=>([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,5,2,6,4,7]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,5,2,6,7,4]=>([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,5,2,7,4,6]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,5,2,7,6,4]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([],1)=>0 [3,1,5,4,2,6,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>([],1)=>0 [3,1,5,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,1,5,4,6,2,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>([],1)=>0 [3,1,5,4,6,7,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>([],1)=>0 [3,1,5,4,7,2,6]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>([],1)=>0 [3,1,5,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,1,5,6,2,4,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,1,5,6,2,7,4]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [3,1,5,6,4,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [3,1,5,6,4,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [3,1,5,6,7,2,4]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,1,5,6,7,4,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,5,7,2,4,6]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [3,1,5,7,2,6,4]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>([],1)=>0 [3,1,5,7,4,2,6]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [3,1,5,7,4,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,5,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [3,1,5,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [3,1,6,2,4,5,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,6,2,4,7,5]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,6,2,5,4,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,1,6,2,5,7,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>([],1)=>0 [3,1,6,2,7,4,5]=>([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [3,1,6,2,7,5,4]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>([(0,1)],2)=>1 [3,1,6,4,2,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>([],1)=>0 [3,1,6,4,2,7,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>([],1)=>0 [3,1,6,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [3,1,6,4,5,7,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [3,1,6,4,7,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>([],1)=>0 [3,1,6,4,7,5,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,6,5,2,4,7]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,1,6,5,2,7,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,1,6,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,1,6,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,1,6,5,7,2,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [3,1,6,5,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>([],1)=>0 [3,1,6,7,2,4,5]=>([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,1,6,7,2,5,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>([(0,1)],2)=>1 [3,1,6,7,4,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [3,1,6,7,4,5,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,1,6,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,1,6,7,5,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,7,2,4,5,6]=>([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,7,2,4,6,5]=>([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>([],1)=>0 [3,1,7,2,5,4,6]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [3,1,7,2,5,6,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,1)],2)=>1 [3,1,7,2,6,4,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>([(0,1)],2)=>1 [3,1,7,2,6,5,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>([],1)=>0 [3,1,7,4,2,5,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>([],1)=>0 [3,1,7,4,2,6,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,1,7,4,5,2,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>([(0,1)],2)=>1 [3,1,7,4,5,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,7,4,6,2,5]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,1,7,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [3,1,7,5,2,4,6]=>([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [3,1,7,5,2,6,4]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,1,7,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>([],1)=>0 [3,1,7,5,4,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>([],1)=>0 [3,1,7,5,6,2,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,1,7,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,7,6,2,4,5]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [3,1,7,6,2,5,4]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>([],1)=>0 [3,1,7,6,4,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>([],1)=>0 [3,1,7,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [3,1,7,6,5,2,4]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1)],2)=>1 [3,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [3,2,1,4,5,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([],1)=>0 [3,2,1,4,5,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([],1)=>0 [3,2,1,4,6,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,4,6,7,5]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,4,7,5,6]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,4,7,6,5]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,2,1,5,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([],1)=>0 [3,2,1,5,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,5,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>([],1)=>0 [3,2,1,5,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [3,2,1,5,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,5,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,2,1,6,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>([],1)=>0 [3,2,1,6,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>([],1)=>0 [3,2,1,6,5,4,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [3,2,1,6,5,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([],1)=>0 [3,2,1,6,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,1,7,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [3,2,1,7,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,2,1,7,5,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,1)],2)=>1 [3,2,1,7,5,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,1,7,6,4,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,2,4,1,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>([],1)=>0 [3,2,4,1,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [3,2,4,1,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([],1)=>0 [3,2,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [3,2,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [3,2,4,1,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,2,4,5,1,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>([],1)=>0 [3,2,4,5,1,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>([],1)=>0 [3,2,4,5,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>([],1)=>0 [3,2,4,5,6,7,1]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([],1)=>0 [3,2,4,5,7,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>([],1)=>0 [3,2,4,5,7,6,1]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(0,1)],2)=>1 [3,2,4,6,1,5,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [3,2,4,6,1,7,5]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>([],1)=>0 [3,2,4,6,5,1,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [3,2,4,6,5,7,1]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [3,2,4,6,7,1,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>([],1)=>0 [3,2,4,6,7,5,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>([],1)=>0 [3,2,4,7,1,6,5]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,2,4,7,5,1,6]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [3,2,4,7,5,6,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,4,7,6,1,5]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,2,4,7,6,5,1]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [3,2,5,1,4,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>([],1)=>0 [3,2,5,1,4,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [3,2,5,1,6,4,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>([],1)=>0 [3,2,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>([],1)=>0 [3,2,5,1,7,4,6]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([],1)=>0 [3,2,5,1,7,6,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [3,2,5,4,1,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,5,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,2,5,4,6,1,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,2,5,4,6,7,1]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,5,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,2,5,4,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,5,6,1,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>([],1)=>0 [3,2,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>([],1)=>0 [3,2,5,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,5,6,4,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,5,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>([],1)=>0 [3,2,5,6,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,5,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>([],1)=>0 [3,2,5,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [3,2,5,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,2,5,7,4,6,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,5,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,5,7,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [3,2,6,1,4,5,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>([],1)=>0 [3,2,6,1,4,7,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([],1)=>0 [3,2,6,1,5,4,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,2,6,1,5,7,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,1)],2)=>1 [3,2,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([],1)=>0 [3,2,6,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,4,1,5,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,1)],2)=>1 [3,2,6,4,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,2,6,4,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,4,5,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,2,6,4,7,5,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,6,5,1,4,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,1,7,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,2,6,5,4,7,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,2,6,5,7,1,4]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,7,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [3,2,6,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([],1)=>0 [3,2,6,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,6,7,4,5,1]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,6,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,6,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,7,1,4,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [3,2,7,1,4,6,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,2,7,1,5,4,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,2,7,1,5,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,7,1,6,4,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,7,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,2,7,4,1,5,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,7,4,1,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,2,7,4,5,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,2,7,4,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,7,4,6,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,7,4,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [3,2,7,5,1,4,6]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,2,7,5,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,7,5,4,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,2,7,5,4,6,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [3,2,7,5,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,7,5,6,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,7,6,1,4,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,7,6,1,5,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,2,7,6,4,1,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([],1)=>0 [3,2,7,6,4,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,2,7,6,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,4,1,2,5,6,7]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,1,2,5,7,6]=>([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,1,2,6,5,7]=>([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,1,2,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,2,7,5,6]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,2,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,1,5,2,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,4,1,5,2,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,5,6,2,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,5,6,7,2]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,4,1,5,7,2,6]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,4,1,5,7,6,2]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [3,4,1,6,2,5,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,4,1,6,2,7,5]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,4,1,6,5,2,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [3,4,1,6,5,7,2]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [3,4,1,6,7,2,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [3,4,1,6,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [3,4,1,7,2,5,6]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,4,1,7,2,6,5]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,1,7,5,2,6]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [3,4,1,7,5,6,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [3,4,1,7,6,2,5]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [3,4,1,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,2,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [3,4,2,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,4,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,4,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [3,4,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [3,4,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [3,4,2,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,4,2,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [3,4,2,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [3,4,2,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,4,2,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,4,2,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [3,4,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [3,4,2,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [3,4,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,4,2,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,5,1,2,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,4,5,1,2,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,4,5,1,6,2,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,4,5,1,6,7,2]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,4,5,1,7,2,6]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,4,5,1,7,6,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>([],1)=>0 [3,4,5,2,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,5,2,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,5,6,1,2,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,4,5,6,1,7,2]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [3,4,5,6,2,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,5,6,2,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,5,6,7,2,1]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,5,7,1,2,6]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [3,4,5,7,1,6,2]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>([],1)=>0 [3,4,5,7,2,1,6]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,5,7,2,6,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,5,7,6,1,2]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [3,4,5,7,6,2,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [3,4,6,1,2,5,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,4,6,1,2,7,5]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,4,6,1,5,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([],1)=>0 [3,4,6,1,5,7,2]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>([],1)=>0 [3,4,6,1,7,2,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>5 [3,4,6,1,7,5,2]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [3,4,6,2,1,5,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,4,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [3,4,6,2,5,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,2,5,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [3,4,6,2,7,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,6,5,1,2,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [3,4,6,5,1,7,2]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [3,4,6,5,2,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [3,4,6,5,2,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [3,4,6,5,7,1,2]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [3,4,6,5,7,2,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [3,4,6,7,1,5,2]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [3,4,6,7,2,1,5]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,7,2,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,4,6,7,5,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,6,7,5,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [3,4,7,1,2,5,6]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,4,7,1,2,6,5]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [3,4,7,1,5,2,6]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([],1)=>0 [3,4,7,1,5,6,2]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [3,4,7,1,6,2,5]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,4,7,1,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,4,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,7,2,5,1,6]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,7,2,5,6,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,7,2,6,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,7,5,1,2,6]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [3,4,7,5,1,6,2]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,4,7,5,2,1,6]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [3,4,7,5,2,6,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [3,4,7,5,6,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,4,7,5,6,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [3,4,7,6,1,2,5]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,4,7,6,1,5,2]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>([],1)=>0 [3,4,7,6,2,1,5]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,4,7,6,2,5,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [3,4,7,6,5,1,2]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [3,4,7,6,5,2,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [3,5,1,2,4,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,5,1,2,4,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,5,1,2,6,4,7]=>([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,5,1,2,6,7,4]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,5,1,2,7,4,6]=>([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,5,1,2,7,6,4]=>([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,5,1,4,2,6,7]=>([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>([],1)=>0 [3,5,1,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,1,4,6,2,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([],1)=>0 [3,5,1,4,6,7,2]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([],1)=>0 [3,5,1,4,7,2,6]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,1,4,7,6,2]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,5,1,6,2,4,7]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [3,5,1,6,2,7,4]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>5 [3,5,1,6,4,2,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,1,6,4,7,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,5,1,6,7,2,4]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>5 [3,5,1,6,7,4,2]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [3,5,1,7,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>5 [3,5,1,7,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [3,5,1,7,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,5,1,7,4,6,2]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,5,1,7,6,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [3,5,1,7,6,4,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([],1)=>0 [3,5,2,1,4,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [3,5,2,1,4,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,5,2,1,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,5,2,1,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [3,5,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [3,5,2,1,7,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,4,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,6,1,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,5,2,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,1)],2)=>1 [3,5,2,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,6,4,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,1)],2)=>1 [3,5,2,6,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,5,2,7,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,1)],2)=>1 [3,5,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,2,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,7,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,5,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,7,6,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([],1)=>0 [3,5,4,1,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [3,5,4,1,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,5,4,1,6,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [3,5,4,1,6,7,2]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [3,5,4,1,7,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [3,5,4,1,7,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,4,2,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [3,5,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,4,2,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [3,5,4,2,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [3,5,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,4,2,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,4,6,1,2,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,4,6,1,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [3,5,4,6,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [3,5,4,6,2,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [3,5,4,6,7,1,2]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [3,5,4,6,7,2,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [3,5,4,7,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,5,4,7,1,6,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,4,7,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,4,7,2,6,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,5,4,7,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,4,7,6,2,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,5,6,1,2,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [3,5,6,1,2,7,4]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [3,5,6,1,4,2,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [3,5,6,1,4,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [3,5,6,1,7,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,1,4,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,5,6,2,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,5,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,5,6,4,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,6,4,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,6,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,6,4,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,6,4,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,6,4,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,6,7,1,4,2]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [3,5,6,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,6,7,2,4,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,5,6,7,4,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,5,6,7,4,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,7,1,2,4,6]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [3,5,7,1,2,6,4]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>([],1)=>0 [3,5,7,1,4,2,6]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,5,7,1,4,6,2]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,7,1,6,2,4]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [3,5,7,1,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>([],1)=>0 [3,5,7,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,5,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,7,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,5,7,2,4,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,5,7,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,5,7,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([],1)=>0 [3,5,7,4,1,2,6]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,7,4,1,6,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,5,7,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,5,7,4,2,6,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,5,7,4,6,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,5,7,4,6,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,5,7,6,1,2,4]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [3,5,7,6,1,4,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>([],1)=>0 [3,5,7,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [3,5,7,6,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [3,5,7,6,4,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [3,5,7,6,4,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [3,6,1,2,4,5,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,6,1,2,4,7,5]=>([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,6,1,2,5,4,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [3,6,1,2,5,7,4]=>([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [3,6,1,2,7,4,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [3,6,1,2,7,5,4]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [3,6,1,4,2,5,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([],1)=>0 [3,6,1,4,2,7,5]=>([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,6,1,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [3,6,1,4,5,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>([(0,1)],2)=>1 [3,6,1,4,7,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [3,6,1,4,7,5,2]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,6,1,5,2,4,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,1,5,2,7,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,1,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,1,5,4,7,2]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,1,5,7,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [3,6,1,5,7,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>([],1)=>0 [3,6,1,7,2,4,5]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>5 [3,6,1,7,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [3,6,1,7,4,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [3,6,1,7,4,5,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,1,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,1,7,5,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,1)],2)=>1 [3,6,2,1,4,5,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [3,6,2,1,4,7,5]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [3,6,2,1,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,6,2,1,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [3,6,2,1,7,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,4,1,5,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,2,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,2,4,5,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,4,5,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,4,7,1,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,2,4,7,5,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,6,2,5,1,4,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,5,1,7,4]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,2,5,4,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,2,5,7,1,4]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,5,7,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [3,6,2,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,1)],2)=>1 [3,6,2,7,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,7,4,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,6,2,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,6,2,7,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,1)],2)=>1 [3,6,4,1,2,5,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [3,6,4,1,2,7,5]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,6,4,1,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,4,1,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,6,4,1,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [3,6,4,1,7,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,4,2,1,5,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [3,6,4,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,6,4,2,5,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [3,6,4,2,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [3,6,4,2,7,1,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,6,4,2,7,5,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,6,4,5,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,4,5,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,4,5,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,4,5,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,4,5,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,4,5,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,4,7,1,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,4,7,1,5,2]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,4,7,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [3,6,4,7,2,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [3,6,4,7,5,1,2]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,4,7,5,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,5,1,2,4,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,5,1,4,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,5,1,4,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>([],1)=>0 [3,6,5,1,7,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [3,6,5,1,7,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>([],1)=>0 [3,6,5,2,1,4,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,5,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([],1)=>0 [3,6,5,2,4,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,5,2,4,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,5,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([],1)=>0 [3,6,5,2,7,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,5,4,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,6,5,4,1,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,5,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,5,4,2,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,5,4,7,1,2]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,5,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,6,5,7,1,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,6,5,7,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>([],1)=>0 [3,6,5,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [3,6,5,7,2,4,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,5,7,4,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,6,5,7,4,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,6,7,1,2,5,4]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [3,6,7,1,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [3,6,7,1,4,5,2]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,1,5,2,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,1,5,4,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [3,6,7,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,6,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,6,7,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,6,7,2,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,6,7,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,6,7,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [3,6,7,4,1,2,5]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,4,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,7,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [3,6,7,4,2,5,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [3,6,7,4,5,1,2]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [3,6,7,4,5,2,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,5,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,7,5,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [3,6,7,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [3,6,7,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,5,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,7,1,2,4,5,6]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,7,1,2,4,6,5]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [3,7,1,2,5,4,6]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [3,7,1,2,5,6,4]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [3,7,1,2,6,4,5]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [3,7,1,2,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [3,7,1,4,2,5,6]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([],1)=>0 [3,7,1,4,2,6,5]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [3,7,1,4,5,2,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>([(0,1)],2)=>1 [3,7,1,4,5,6,2]=>([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,1,4,6,2,5]=>([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,1,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [3,7,1,5,2,4,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [3,7,1,5,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,7,1,5,4,2,6]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,7,1,5,4,6,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7)=>([],1)=>0 [3,7,1,5,6,2,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,1,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [3,7,1,6,2,4,5]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [3,7,1,6,2,5,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([],1)=>0 [3,7,1,6,4,2,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>([],1)=>0 [3,7,1,6,4,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [3,7,1,6,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,1)],2)=>1 [3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [3,7,2,1,4,6,5]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,2,1,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [3,7,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,7,2,4,1,5,6]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [3,7,2,4,1,6,5]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,2,4,5,1,6]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,2,4,5,6,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,7,2,4,6,1,5]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,7,2,4,6,5,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([],1)=>0 [3,7,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,2,5,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,7,2,5,4,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,7,2,5,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,7,2,5,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,7,2,6,1,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,7,2,6,1,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,7,2,6,4,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [3,7,2,6,4,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,7,2,6,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [3,7,2,6,5,4,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,7,4,1,2,5,6]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [3,7,4,1,2,6,5]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,4,1,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,4,1,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,4,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,4,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>([],1)=>0 [3,7,4,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [3,7,4,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([],1)=>0 [3,7,4,2,5,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [3,7,4,2,5,6,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [3,7,4,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([],1)=>0 [3,7,4,2,6,5,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,7,4,5,1,2,6]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,4,5,1,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,7,4,5,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [3,7,4,5,2,6,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [3,7,4,5,6,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,7,4,5,6,2,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,4,6,1,2,5]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,7,4,6,1,5,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>([],1)=>0 [3,7,4,6,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [3,7,4,6,2,5,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,4,6,5,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [3,7,4,6,5,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [3,7,5,1,2,4,6]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,5,1,4,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [3,7,5,1,4,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>([],1)=>0 [3,7,5,1,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,7,5,1,6,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>([(0,1)],2)=>1 [3,7,5,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([],1)=>0 [3,7,5,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([],1)=>0 [3,7,5,2,4,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,7,5,2,4,6,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,7,5,2,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([],1)=>0 [3,7,5,2,6,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,5,4,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,7,5,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,7,5,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,7,5,4,2,6,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,7,5,4,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [3,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [3,7,5,6,1,2,4]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [3,7,5,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [3,7,5,6,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,5,6,4,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,7,6,1,2,4,5]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,6,1,2,5,4]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>([],1)=>0 [3,7,6,1,4,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>([],1)=>0 [3,7,6,1,4,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>([(0,1)],2)=>1 [3,7,6,1,5,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>([(0,1)],2)=>1 [3,7,6,1,5,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([],1)=>0 [3,7,6,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([],1)=>0 [3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [3,7,6,2,4,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [3,7,6,2,4,5,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [3,7,6,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,6,2,5,4,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,7,6,4,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [3,7,6,4,1,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,6,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [3,7,6,4,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [3,7,6,4,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [3,7,6,5,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [3,7,6,5,1,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([],1)=>0 [3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1)],2)=>1 [3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,1,2,3,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,1,2,3,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,3,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,3,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,3,7,5,6]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,3,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,1,2,5,3,6,7]=>([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,5,3,7,6]=>([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,5,6,3,7]=>([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,5,6,7,3]=>([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,1,2,5,7,3,6]=>([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,1,2,5,7,6,3]=>([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [4,1,2,6,3,5,7]=>([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,2,6,3,7,5]=>([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,1,2,6,5,3,7]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,1,2,6,5,7,3]=>([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,1,2,6,7,3,5]=>([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [4,1,2,6,7,5,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,2,7,3,5,6]=>([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,1,2,7,3,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [4,1,2,7,5,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [4,1,2,7,5,6,3]=>([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,2,7,6,3,5]=>([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [4,1,2,7,6,5,3]=>([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,1,3,2,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [4,1,3,2,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [4,1,3,2,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,1,3,2,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [4,1,3,2,7,5,6]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [4,1,3,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,1,3,5,2,6,7]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>([],1)=>0 [4,1,3,5,2,7,6]=>([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,1,3,5,6,2,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>([],1)=>0 [4,1,3,5,6,7,2]=>([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [4,1,3,5,7,2,6]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>([],1)=>0 [4,1,3,5,7,6,2]=>([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,1,3,6,2,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,1,3,6,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [4,1,3,6,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,1,3,6,5,7,2]=>([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,1,3,6,7,2,5]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [4,1,3,6,7,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [4,1,3,7,2,5,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [4,1,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,1,3,7,5,2,6]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [4,1,3,7,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [4,1,3,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,1,3,7,6,5,2]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,1,5,2,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,1,5,2,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,1,5,2,6,3,7]=>([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,1,5,2,6,7,3]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [4,1,5,2,7,3,6]=>([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [4,1,5,2,7,6,3]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,1,5,3,2,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [4,1,5,3,2,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,1,5,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [4,1,5,3,6,7,2]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,5,3,7,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,1,5,3,7,6,2]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,1,5,6,2,3,7]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [4,1,5,6,2,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [4,1,5,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,5,6,3,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,1,5,6,7,2,3]=>([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [4,1,5,6,7,3,2]=>([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,5,7,2,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [4,1,5,7,2,6,3]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>([],1)=>0 [4,1,5,7,3,2,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,1,5,7,3,6,2]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,5,7,6,2,3]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,1,5,7,6,3,2]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>([],1)=>0 [4,1,6,2,3,5,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,1,6,2,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [4,1,6,2,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,1,6,2,5,7,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>([],1)=>0 [4,1,6,2,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>5 [4,1,6,2,7,5,3]=>([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>([(0,1)],2)=>1 [4,1,6,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,1,6,3,2,7,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [4,1,6,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,1,6,3,5,7,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,6,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,1,6,3,7,5,2]=>([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,6,5,2,3,7]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,1,6,5,2,7,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,1,6,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,1,6,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,1,6,5,7,2,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,1,6,5,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>([],1)=>0 [4,1,6,7,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [4,1,6,7,2,5,3]=>([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>([(0,1)],2)=>1 [4,1,6,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,6,7,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,1,6,7,5,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,1,6,7,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,7,2,3,5,6]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [4,1,7,2,3,6,5]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>([],1)=>0 [4,1,7,2,5,3,6]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>([],1)=>0 [4,1,7,2,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,7,2,6,3,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>([(0,1)],2)=>1 [4,1,7,2,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>([],1)=>0 [4,1,7,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,1,7,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,1,7,3,5,2,6]=>([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,7,3,5,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,7,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,7,3,6,5,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>([],1)=>0 [4,1,7,5,2,3,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>([(0,1)],2)=>1 [4,1,7,5,2,6,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,7,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>([],1)=>0 [4,1,7,5,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>([],1)=>0 [4,1,7,5,6,2,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,1,7,5,6,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [4,1,7,6,2,3,5]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,2),(2,1)],3)=>2 [4,1,7,6,2,5,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>([],1)=>0 [4,1,7,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>([],1)=>0 [4,1,7,6,3,5,2]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>([(0,1)],2)=>1 [4,1,7,6,5,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>([(0,1)],2)=>1 [4,1,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [4,2,1,3,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>([],1)=>0 [4,2,1,3,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [4,2,1,3,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>([],1)=>0 [4,2,1,3,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [4,2,1,3,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>([],1)=>0 [4,2,1,3,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,2,1,5,3,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>([],1)=>0 [4,2,1,5,3,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,2,1,5,6,3,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>([],1)=>0 [4,2,1,5,6,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [4,2,1,5,7,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([],1)=>0 [4,2,1,5,7,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,2,1,6,3,5,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>([],1)=>0 [4,2,1,6,3,7,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([],1)=>0 [4,2,1,6,5,3,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,2,1,6,5,7,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,2,1,6,7,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([],1)=>0 [4,2,1,6,7,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,1,7,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>([],1)=>0 [4,2,1,7,3,6,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [4,2,1,7,5,3,6]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,1)],2)=>1 [4,2,1,7,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,1,7,6,3,5]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,1,7,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,2,3,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,2,3,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,2,3,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,2,3,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [4,2,3,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [4,2,3,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [4,2,3,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,2,3,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,2,3,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,2,3,5,7,1,6]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,2,3,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,2,3,6,1,7,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [4,2,3,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [4,2,3,6,7,5,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,3,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [4,2,3,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,7,5,1,6]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,3,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,3,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,3,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,2,5,1,3,6,7]=>([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([],1)=>0 [4,2,5,1,3,7,6]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([],1)=>0 [4,2,5,1,6,3,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([],1)=>0 [4,2,5,1,6,7,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>([],1)=>0 [4,2,5,1,7,3,6]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([],1)=>0 [4,2,5,1,7,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,2,5,3,1,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,6,1,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,7,1,6]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,5,6,1,3,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([],1)=>0 [4,2,5,6,1,7,3]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>([],1)=>0 [4,2,5,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,5,6,3,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,5,6,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [4,2,5,6,7,3,1]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,5,7,1,3,6]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([],1)=>0 [4,2,5,7,1,6,3]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [4,2,5,7,3,1,6]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,5,7,3,6,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,5,7,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,5,7,6,3,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([],1)=>0 [4,2,6,1,3,5,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([],1)=>0 [4,2,6,1,3,7,5]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([],1)=>0 [4,2,6,1,5,3,7]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,2,6,1,5,7,3]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,2,6,1,7,3,5]=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)=>([],1)=>0 [4,2,6,1,7,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,1,5,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,1,7,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,3,5,7,1]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,3,7,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,7,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,6,5,1,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,1,7,3]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,2,6,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,2,6,5,7,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,7,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [4,2,6,7,1,3,5]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>([],1)=>0 [4,2,6,7,1,5,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,6,7,3,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,7,3,5,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [4,2,6,7,5,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,2,6,7,5,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [4,2,7,1,3,5,6]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>([],1)=>0 [4,2,7,1,3,6,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,2,7,1,5,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,7,1,6,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,2,7,3,1,5,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,2,7,3,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,7,3,5,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,7,3,5,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,7,3,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,7,3,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([],1)=>0 [4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,2,7,5,1,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [4,2,7,5,3,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [4,2,7,5,6,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,2,7,5,6,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [4,2,7,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,7,6,1,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,2,7,6,3,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([],1)=>0 [4,2,7,6,3,5,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,1)],2)=>1 [4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [4,2,7,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,3,1,2,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,2,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,3,1,2,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,2,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [4,3,1,2,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [4,3,1,2,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,5,2,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [4,3,1,5,2,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,3,1,5,6,2,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,5,7,2,6]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [4,3,1,5,7,6,2]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,6,2,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,6,2,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [4,3,1,6,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,6,5,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,6,7,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [4,3,1,6,7,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,1,7,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,3,1,7,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,7,5,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,3,1,7,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,1,7,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,1,7,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,3,2,1,5,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [4,3,2,1,5,7,6]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [4,3,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,3,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,3,2,5,1,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>([],1)=>0 [4,3,2,5,1,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,3,2,5,6,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>([],1)=>0 [4,3,2,5,6,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [4,3,2,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,3,2,5,7,6,1]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [4,3,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,3,2,6,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>([],1)=>0 [4,3,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,3,2,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [4,3,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [4,3,2,6,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,3,2,7,5,1,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>([],1)=>0 [4,3,2,7,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,3,5,1,2,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [4,3,5,1,2,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,3,5,1,6,2,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [4,3,5,1,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [4,3,5,1,7,2,6]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,3,5,1,7,6,2]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,5,2,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [4,3,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [4,3,5,2,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [4,3,5,2,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [4,3,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [4,3,5,2,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [4,3,5,6,1,2,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [4,3,5,6,1,7,2]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [4,3,5,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [4,3,5,6,2,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [4,3,5,6,7,1,2]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [4,3,5,6,7,2,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [4,3,5,7,1,2,6]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [4,3,5,7,1,6,2]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,3,5,7,2,1,6]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>([],1)=>0 [4,3,5,7,2,6,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [4,3,5,7,6,1,2]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,5,7,6,2,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [4,3,6,1,2,5,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,3,6,1,2,7,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,3,6,1,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,6,1,5,7,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,3,6,1,7,2,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,3,6,1,7,5,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,6,2,1,5,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [4,3,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [4,3,6,2,5,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,3,6,2,5,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [4,3,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [4,3,6,2,7,5,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [4,3,6,5,1,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,6,5,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,6,5,2,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,3,6,5,2,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,3,6,5,7,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,6,5,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,3,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [4,3,6,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,6,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [4,3,6,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [4,3,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,3,6,7,5,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,3,7,1,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,3,7,1,2,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,7,1,5,2,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,7,1,6,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,3,7,2,5,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [4,3,7,2,5,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [4,3,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,3,7,2,6,5,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,3,7,5,1,2,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,7,5,1,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,3,7,5,2,1,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [4,3,7,5,2,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [4,3,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,3,7,5,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [4,3,7,6,1,2,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,3,7,6,1,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([],1)=>0 [4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1)],2)=>1 [4,3,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,5,1,2,3,6,7]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,1,2,3,7,6]=>([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,1,2,6,3,7]=>([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,1,2,6,7,3]=>([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,5,1,2,7,3,6]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,5,1,2,7,6,3]=>([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [4,5,1,3,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [4,5,1,3,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,1,3,6,2,7]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [4,5,1,3,6,7,2]=>([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [4,5,1,3,7,2,6]=>([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,1,3,7,6,2]=>([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,1,6,2,3,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [4,5,1,6,2,7,3]=>([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [4,5,1,6,3,2,7]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,1,6,3,7,2]=>([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,1,6,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,1,7,2,3,6]=>([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [4,5,1,7,2,6,3]=>([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>([],1)=>0 [4,5,1,7,3,2,6]=>([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,1,7,3,6,2]=>([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,1,7,6,2,3]=>([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [4,5,1,7,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>([],1)=>0 [4,5,2,1,3,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [4,5,2,1,3,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,2,1,6,3,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,5,2,1,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,5,2,1,7,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,5,2,1,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,2,3,1,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,1,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,6,1,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,6,7,1]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,7,1,6]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,2,3,7,6,1]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,2,6,1,3,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,5,2,6,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,2,6,3,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,2,6,3,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,2,6,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,5,2,6,7,3,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,5,2,7,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [4,5,2,7,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,2,7,3,1,6]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,2,7,3,6,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,5,2,7,6,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,2,7,6,3,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [4,5,3,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,3,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,3,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,3,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [4,5,3,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,3,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [4,5,3,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,5,3,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,3,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,1,2,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>([(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)=>4 [4,5,6,1,3,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,1,3,7,2]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,1,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,2,1,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,2,3,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,2,3,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,2,7,3,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,6,3,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,3,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,3,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,3,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,3,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,6,7,1,3,2]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,7,2,1,3]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,7,2,3,1]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,5,6,7,3,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,5,6,7,3,2,1]=>([(3,4),(4,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,1,2,6,3]=>([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)=>([],1)=>0 [4,5,7,1,3,2,6]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,7,1,3,6,2]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,1,6,2,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [4,5,7,1,6,3,2]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>([],1)=>0 [4,5,7,2,1,3,6]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,2,3,1,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,7,2,3,6,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,7,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,5,7,2,6,3,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [4,5,7,3,1,2,6]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,7,3,1,6,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,5,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,7,3,2,6,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,5,7,3,6,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,5,7,3,6,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,6,1,2,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [4,5,7,6,1,3,2]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>([],1)=>0 [4,5,7,6,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [4,5,7,6,2,3,1]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,5,7,6,3,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [4,5,7,6,3,2,1]=>([(3,4),(4,5),(4,6)],7)=>([],1)=>0 [4,6,1,2,3,5,7]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,6,1,2,3,7,5]=>([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,6,1,2,5,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([],1)=>0 [4,6,1,2,5,7,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>([],1)=>0 [4,6,1,2,7,3,5]=>([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>5 [4,6,1,2,7,5,3]=>([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,6,1,3,2,5,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,6,1,3,2,7,5]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,1,3,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,1,3,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,6,1,3,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,1,3,7,5,2]=>([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,1,5,2,3,7]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [4,6,1,5,2,7,3]=>([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,1,5,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,1,5,3,7,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,1,5,7,2,3]=>([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [4,6,1,5,7,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>([],1)=>0 [4,6,1,7,2,5,3]=>([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [4,6,1,7,3,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,6,1,7,3,5,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,6,1,7,5,2,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,1,7,5,3,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,2,1,3,5,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [4,6,2,1,3,7,5]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [4,6,2,1,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,2,1,5,7,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,6,2,1,7,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,2,1,7,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,3,1,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,2,3,1,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,2,3,5,1,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,2,3,5,7,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,2,3,7,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,2,3,7,5,1]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,6,2,5,1,3,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,5,1,7,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,2,5,3,7,1]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,2,5,7,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,5,7,3,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,2,7,1,3,5]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,2,7,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,7,3,1,5]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,2,7,3,5,1]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [4,6,2,7,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [4,6,2,7,5,3,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,1)],2)=>1 [4,6,3,1,2,5,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,3,1,2,7,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,3,1,5,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,3,1,5,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,3,1,7,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,3,1,7,5,2]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,6,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,6,3,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [4,6,3,2,5,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,3,2,5,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [4,6,3,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,3,2,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [4,6,3,5,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,3,5,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,3,5,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,3,5,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,3,5,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,3,5,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,3,7,1,2,5]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,3,7,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,6,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,3,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,3,7,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,6,3,7,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,5,1,2,3,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [4,6,5,1,2,7,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,5,1,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,1,3,7,2]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [4,6,5,1,7,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,2,1,3,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [4,6,5,2,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,2,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,2,7,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [4,6,5,2,7,3,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,3,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,3,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,3,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,3,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,3,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,7,1,2,3]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [4,6,5,7,1,3,2]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,5,7,2,1,3]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [4,6,5,7,2,3,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,7,3,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,6,5,7,3,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [4,6,7,1,2,5,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [4,6,7,1,3,2,5]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [4,6,7,1,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,6,7,1,5,2,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,7,1,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [4,6,7,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,6,7,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,6,7,2,3,1,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,7,2,3,5,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [4,6,7,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [4,6,7,2,5,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [4,6,7,3,1,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,7,3,1,5,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [4,6,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,6,7,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [4,6,7,3,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,6,7,5,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,7,5,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [4,6,7,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,1)],2)=>1 [4,6,7,5,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,7,5,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,7,5,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [4,7,1,2,3,5,6]=>([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,7,1,2,3,6,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>([],1)=>0 [4,7,1,2,5,3,6]=>([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>([],1)=>0 [4,7,1,2,5,6,3]=>([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [4,7,1,2,6,3,5]=>([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [4,7,1,2,6,5,3]=>([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [4,7,1,3,2,5,6]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [4,7,1,3,2,6,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,1,3,5,2,6]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,7,1,3,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,1,3,6,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,1,3,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>([],1)=>0 [4,7,1,5,2,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [4,7,1,5,2,6,3]=>([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,7,1,5,3,2,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>([],1)=>0 [4,7,1,5,3,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>([],1)=>0 [4,7,1,5,6,2,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,1,5,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>([(0,1)],2)=>1 [4,7,1,6,2,3,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [4,7,1,6,2,5,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>([],1)=>0 [4,7,1,6,3,2,5]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>([],1)=>0 [4,7,1,6,3,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>([(0,1)],2)=>1 [4,7,1,6,5,2,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [4,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>([],1)=>0 [4,7,2,1,3,5,6]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [4,7,2,1,3,6,5]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,2,1,5,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [4,7,2,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,2,1,6,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,2,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [4,7,2,3,1,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,2,3,1,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,7,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,7,2,3,5,6,1]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,7,2,3,6,1,5]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,7,2,3,6,5,1]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [4,7,2,5,1,3,6]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,2,5,1,6,3]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,7,2,5,3,1,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [4,7,2,5,3,6,1]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [4,7,2,5,6,1,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [4,7,2,5,6,3,1]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>([(0,1)],2)=>1 [4,7,2,6,1,3,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,7,2,6,1,5,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [4,7,2,6,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([],1)=>0 [4,7,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,1)],2)=>1 [4,7,2,6,5,1,3]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [4,7,2,6,5,3,1]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [4,7,3,1,2,5,6]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,3,1,2,6,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,7,3,1,5,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,7,3,1,5,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,7,3,1,6,2,5]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [4,7,3,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,7,3,2,5,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [4,7,3,2,5,6,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,3,5,1,2,6]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,3,5,1,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,7,3,5,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,3,5,2,6,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,3,5,6,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,7,3,5,6,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,7,3,6,1,5,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,3,6,2,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [4,7,3,6,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,7,5,1,2,3,6]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [4,7,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,5,1,3,2,6]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [4,7,5,1,3,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>([],1)=>0 [4,7,5,1,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,7,5,1,6,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,2,1,3,6]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([],1)=>0 [4,7,5,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([],1)=>0 [4,7,5,2,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,2,3,6,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,2,6,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([],1)=>0 [4,7,5,2,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,5,3,1,2,6]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,3,1,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [4,7,5,3,2,6,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [4,7,5,3,6,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [4,7,5,3,6,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [4,7,5,6,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,5,6,1,3,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [4,7,5,6,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,1)],2)=>1 [4,7,5,6,2,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,5,6,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,5,6,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [4,7,6,1,2,3,5]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,6,1,2,5,3]=>([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>([],1)=>0 [4,7,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>([],1)=>0 [4,7,6,1,3,5,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,6,1,5,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>([],1)=>0 [4,7,6,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([],1)=>0 [4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,1)],2)=>1 [4,7,6,2,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,6,2,3,5,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,6,2,5,1,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,6,2,5,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([],1)=>0 [4,7,6,3,1,2,5]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,1)],2)=>1 [4,7,6,3,1,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [4,7,6,3,5,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [4,7,6,5,1,2,3]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([],1)=>0 [4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([],1)=>0 [4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,1,2,3,4,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,2,3,4,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,1,2,3,6,4,7]=>([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,1,2,3,6,7,4]=>([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [5,1,2,3,7,4,6]=>([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [5,1,2,3,7,6,4]=>([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [5,1,2,4,3,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [5,1,2,4,3,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [5,1,2,4,6,3,7]=>([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>([],1)=>0 [5,1,2,4,6,7,3]=>([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [5,1,2,4,7,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [5,1,2,4,7,6,3]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [5,1,2,6,3,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [5,1,2,6,3,7,4]=>([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [5,1,2,6,4,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,1,2,6,4,7,3]=>([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,1,2,6,7,3,4]=>([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [5,1,2,6,7,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,1,2,7,3,4,6]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [5,1,2,7,3,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>([],1)=>0 [5,1,2,7,4,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>([(0,1)],2)=>1 [5,1,2,7,4,6,3]=>([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,2,7,6,3,4]=>([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,1,2,7,6,4,3]=>([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>([],1)=>0 [5,1,3,2,4,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>([],1)=>0 [5,1,3,2,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [5,1,3,2,6,4,7]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [5,1,3,2,6,7,4]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [5,1,3,2,7,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [5,1,3,2,7,6,4]=>([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,1,3,4,2,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [5,1,3,4,2,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [5,1,3,4,6,2,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>([(0,1)],2)=>1 [5,1,3,4,6,7,2]=>([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>([(0,1)],2)=>1 [5,1,3,4,7,2,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>([(0,1)],2)=>1 [5,1,3,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [5,1,3,6,2,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [5,1,3,6,2,7,4]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,1,3,6,4,2,7]=>([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,3,6,4,7,2]=>([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,1,3,6,7,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [5,1,3,6,7,4,2]=>([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,3,7,2,4,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,1,3,7,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,1,3,7,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,1,3,7,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,3,7,6,2,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,3,7,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,2,3,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [5,1,4,2,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [5,1,4,2,6,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,1,4,2,6,7,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,1)],2)=>1 [5,1,4,2,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [5,1,4,2,7,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,4,3,2,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,1,4,3,2,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,1,4,3,6,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,1,4,3,7,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,3,7,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,6,2,3,7]=>([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>([(0,1)],2)=>1 [5,1,4,6,2,7,3]=>([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,1,4,6,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [5,1,4,6,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,1,4,6,7,2,3]=>([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [5,1,4,6,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>([],1)=>0 [5,1,4,7,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [5,1,4,7,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,4,7,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,7,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,1,4,7,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,4,7,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,1,6,2,3,4,7]=>([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,1,6,2,3,7,4]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [5,1,6,2,4,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>([(0,1)],2)=>1 [5,1,6,2,4,7,3]=>([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>([(0,1)],2)=>1 [5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [5,1,6,2,7,4,3]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,1,6,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [5,1,6,3,2,7,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,1,6,3,4,2,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>([(0,1)],2)=>1 [5,1,6,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,1,6,4,2,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,4,2,7,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,1,6,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,1,6,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,6,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,1,6,7,2,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,1,6,7,3,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [5,1,6,7,3,4,2]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,1,6,7,4,2,3]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,1,6,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,1,7,2,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>5 [5,1,7,2,3,6,4]=>([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>([],1)=>0 [5,1,7,2,4,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [5,1,7,2,4,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [5,1,7,2,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>([(0,1)],2)=>1 [5,1,7,2,6,4,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>([],1)=>0 [5,1,7,3,2,4,6]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [5,1,7,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,1,7,3,4,2,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,7,3,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,1,7,3,6,2,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,7,3,6,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>([],1)=>0 [5,1,7,4,2,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,7,4,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,1,7,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,1,7,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,1,7,4,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,1,7,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,1,7,6,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [5,1,7,6,2,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>([],1)=>0 [5,1,7,6,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>([],1)=>0 [5,1,7,6,3,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [5,1,7,6,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>([(0,1)],2)=>1 [5,1,7,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [5,2,1,3,4,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>([],1)=>0 [5,2,1,3,4,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>([],1)=>0 [5,2,1,3,6,4,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [5,2,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>([],1)=>0 [5,2,1,3,7,4,6]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>([],1)=>0 [5,2,1,3,7,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [5,2,1,4,3,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [5,2,1,4,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,2,1,4,6,3,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>([(0,1)],2)=>1 [5,2,1,4,6,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [5,2,1,4,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,2,1,4,7,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,1,6,3,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>([],1)=>0 [5,2,1,6,3,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>([],1)=>0 [5,2,1,6,4,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,1,6,4,7,3]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,1,6,7,3,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([],1)=>0 [5,2,1,6,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,1,7,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>([],1)=>0 [5,2,1,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [5,2,1,7,4,3,6]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,1,7,4,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,1,7,6,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>([(0,2),(2,1)],3)=>2 [5,2,1,7,6,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,2,3,1,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [5,2,3,1,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [5,2,3,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [5,2,3,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [5,2,3,1,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [5,2,3,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,4,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,3,6,1,4,7]=>([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [5,2,3,6,1,7,4]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [5,2,3,6,4,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,3,6,4,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,3,6,7,1,4]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [5,2,3,6,7,4,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,2,3,7,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,3,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,3,7,4,6,1]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,2,3,7,6,1,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,3,7,6,4,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,2,4,1,3,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,3,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,6,3,7]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,6,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,7,3,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,1,7,6,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,4,3,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,2,4,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,2,4,3,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,2,4,3,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,2,4,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,2,4,3,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,2,4,6,1,3,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,6,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [5,2,4,6,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [5,2,4,6,7,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,6,7,3,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [5,2,4,7,1,3,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,4,7,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,4,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,2,4,7,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,2,4,7,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,4,7,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,2,6,1,3,4,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([],1)=>0 [5,2,6,1,3,7,4]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([],1)=>0 [5,2,6,1,4,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,6,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,2,6,1,7,3,4]=>([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>([],1)=>0 [5,2,6,1,7,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,6,3,1,4,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,6,3,1,7,4]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,6,3,4,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,3,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,3,7,1,4]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,6,3,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,2,6,4,1,3,7]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,1,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,2,6,4,3,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,2,6,4,7,1,3]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,2,6,7,1,3,4]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>([],1)=>0 [5,2,6,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,6,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,6,7,3,4,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,2,6,7,4,1,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,2,6,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,7,1,3,4,6]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>([],1)=>0 [5,2,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [5,2,7,1,4,3,6]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,7,1,4,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,7,1,6,3,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [5,2,7,1,6,4,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,2,7,3,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,2,7,3,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,7,3,4,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,7,3,4,6,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,2,7,3,6,1,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,2,7,3,6,4,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([],1)=>0 [5,2,7,4,1,3,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,7,4,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,2,7,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,2,7,4,3,6,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,2,7,4,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,2,7,4,6,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,2,7,6,1,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,2,7,6,3,1,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>([],1)=>0 [5,2,7,6,3,4,1]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [5,2,7,6,4,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [5,2,7,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,3,1,2,4,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>([(0,1)],2)=>1 [5,3,1,2,4,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [5,3,1,2,6,4,7]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [5,3,1,2,6,7,4]=>([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [5,3,1,2,7,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [5,3,1,2,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,2,6,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,6,2,7]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,6,7,2]=>([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,4,7,6,2]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,1,6,2,4,7]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [5,3,1,6,2,7,4]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,1)],2)=>1 [5,3,1,6,4,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,1,6,4,7,2]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,1,6,7,2,4]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,1)],2)=>1 [5,3,1,6,7,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,1,7,2,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,1)],2)=>1 [5,3,1,7,2,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,1,7,4,2,6]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,1,7,4,6,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,1,7,6,2,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,1,7,6,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,3,2,1,4,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>([],1)=>0 [5,3,2,1,4,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [5,3,2,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [5,3,2,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,3,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>([],1)=>0 [5,3,2,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,3,2,4,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [5,3,2,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [5,3,2,4,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,3,2,4,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [5,3,2,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [5,3,2,4,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,3,2,6,1,4,7]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [5,3,2,6,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>([],1)=>0 [5,3,2,6,4,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [5,3,2,6,4,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,3,2,6,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,3,2,6,7,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,3,2,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>([],1)=>0 [5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,3,2,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>([],1)=>0 [5,3,2,7,4,6,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,3,2,7,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,3,4,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,7,2,6]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,3,4,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,3,4,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,4,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,3,4,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,3,4,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,3,4,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,4,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,4,7,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,3,4,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,3,4,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,3,4,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,4,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,6,1,2,4,7]=>([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,3,6,1,2,7,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,3,6,1,4,2,7]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,6,1,4,7,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,6,1,7,2,4]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [5,3,6,1,7,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,6,2,1,4,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,3,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>([],1)=>0 [5,3,6,2,4,1,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [5,3,6,2,4,7,1]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [5,3,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [5,3,6,2,7,4,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [5,3,6,4,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,4,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,6,4,2,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,6,4,7,1,2]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,4,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,6,7,1,2,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [5,3,6,7,1,4,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,6,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [5,3,6,7,2,4,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,3,6,7,4,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,3,6,7,4,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,7,1,2,4,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [5,3,7,1,2,6,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,7,1,4,2,6]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,7,1,4,6,2]=>([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,7,1,6,2,4]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,7,1,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [5,3,7,2,1,4,6]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([],1)=>0 [5,3,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,3,7,2,4,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [5,3,7,2,4,6,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,3,7,2,6,4,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,3,7,4,1,2,6]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,7,4,1,6,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,3,7,4,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,7,4,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,7,4,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,3,7,4,6,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,7,6,1,2,4]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([],1)=>0 [5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,3,7,6,4,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [5,3,7,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,4,1,2,3,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,6,3,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,2,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,1,3,2,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,4,1,3,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,1,3,6,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,1,3,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [5,4,1,3,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,1,3,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([],1)=>0 [5,4,1,6,2,3,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,6,2,7,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,6,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [5,4,1,6,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,1,6,7,2,3]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,6,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([],1)=>0 [5,4,1,7,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,1,7,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,1,7,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([],1)=>0 [5,4,1,7,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([],1)=>0 [5,4,1,7,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [5,4,2,1,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [5,4,2,1,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [5,4,2,1,6,3,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,4,2,1,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [5,4,2,1,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,4,2,3,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,2,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,2,3,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,2,3,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,2,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,2,3,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,2,6,1,3,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,2,6,1,7,3]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>([],1)=>0 [5,4,2,6,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,2,6,3,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,4,2,6,7,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [5,4,2,6,7,3,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,2,7,1,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>([],1)=>0 [5,4,2,7,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,4,2,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,2,7,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,3,1,2,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,1,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,3,1,6,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,1,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,1,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [5,4,3,1,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,4,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,3,2,6,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,3,2,6,7,1]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,4,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,3,6,1,2,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,6,1,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [5,4,3,6,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [5,4,3,6,7,1,2]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [5,4,3,6,7,2,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,4,3,7,1,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,6,1,2,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,6,1,2,7,3]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,6,1,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [5,4,6,1,3,7,2]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([],1)=>0 [5,4,6,1,7,2,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,6,1,7,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([],1)=>0 [5,4,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>([],1)=>0 [5,4,6,2,1,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>([],1)=>0 [5,4,6,2,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,2,3,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,2,7,1,3]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([],1)=>0 [5,4,6,2,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,3,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,3,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [5,4,6,3,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [5,4,6,3,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>([(0,1)],2)=>1 [5,4,6,3,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [5,4,6,7,1,2,3]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,4,6,7,1,3,2]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>([],1)=>0 [5,4,6,7,2,1,3]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>([],1)=>0 [5,4,6,7,2,3,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [5,4,6,7,3,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [5,4,6,7,3,2,1]=>([(3,6),(4,6),(6,5)],7)=>([],1)=>0 [5,4,7,1,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,7,1,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,7,1,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [5,4,7,1,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([],1)=>0 [5,4,7,1,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,1)],2)=>1 [5,4,7,2,1,3,6]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>([],1)=>0 [5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>([],1)=>0 [5,4,7,2,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,4,7,2,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([],1)=>0 [5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,4,7,3,1,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [5,4,7,6,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,1)],2)=>1 [5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,6,1,2,3,4,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,6,1,2,3,7,4]=>([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [5,6,1,2,4,3,7]=>([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [5,6,1,2,4,7,3]=>([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [5,6,1,2,7,4,3]=>([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,6,1,3,2,4,7]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,1,3,2,7,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,6,1,3,4,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,3,4,7,2]=>([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,3,7,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,6,1,3,7,4,2]=>([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,1,4,2,3,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,4,2,7,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,1,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,1,4,7,2,3]=>([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,1,4,7,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,1,7,2,4,3]=>([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [5,6,1,7,3,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,6,1,7,3,4,2]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,1,7,4,2,3]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,1,7,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,6,2,1,3,4,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [5,6,2,1,3,7,4]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [5,6,2,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,1,4,7,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,1,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [5,6,2,1,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,2,3,1,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,3,1,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,3,4,1,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,3,4,7,1]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,3,7,1,4]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,2,3,7,4,1]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,2,4,1,3,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,4,1,7,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,4,3,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,2,4,3,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,2,4,7,1,3]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,2,4,7,3,1]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,2,7,1,3,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [5,6,2,7,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,2,7,3,1,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,2,7,3,4,1]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [5,6,2,7,4,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [5,6,2,7,4,3,1]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,6,3,1,2,4,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,1,2,7,4]=>([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,1,4,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,3,1,4,7,2]=>([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,3,1,7,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,1,7,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [5,6,3,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,3,2,4,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,3,2,4,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,3,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,3,2,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,3,4,1,2,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,6,3,4,1,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,6,3,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,4,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,4,7,1,2]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,6,3,4,7,2,1]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,7,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,3,7,1,4,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>([(0,1)],2)=>1 [5,6,3,7,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,3,7,4,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,4,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,4,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,4,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,4,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,4,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,4,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,4,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,1)],2)=>1 [5,6,4,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [5,6,4,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [5,6,7,1,2,4,3]=>([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,1,3,2,4]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,1,3,4,2]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,1,4,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,1,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,2,1,3,4]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,2,3,1,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,2,3,4,1]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(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)=>4 [5,6,7,2,4,1,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(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)=>4 [5,6,7,2,4,3,1]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,3,1,2,4]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,3,1,4,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(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)=>4 [5,6,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,3,2,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,3,4,2,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,4,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(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)=>4 [5,6,7,4,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,4,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [5,6,7,4,2,3,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,4,3,1,2]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,7,4,3,2,1]=>([(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,1,2,3,4,6]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [5,7,1,2,3,6,4]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>([],1)=>0 [5,7,1,2,4,3,6]=>([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [5,7,1,2,4,6,3]=>([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [5,7,1,2,6,3,4]=>([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [5,7,1,2,6,4,3]=>([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>([],1)=>0 [5,7,1,3,2,4,6]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [5,7,1,3,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,1,3,4,2,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,1,3,4,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,1,3,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,1,3,6,4,2]=>([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>([],1)=>0 [5,7,1,4,2,3,6]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,1,4,2,6,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,1,4,3,2,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,7,1,4,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [5,7,1,4,6,2,3]=>([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,1,4,6,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,1,6,2,3,4]=>([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [5,7,1,6,2,4,3]=>([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>([],1)=>0 [5,7,1,6,3,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>([],1)=>0 [5,7,1,6,3,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [5,7,1,6,4,2,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>([(0,1)],2)=>1 [5,7,1,6,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>([],1)=>0 [5,7,2,1,3,4,6]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [5,7,2,1,3,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [5,7,2,1,4,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,2,1,4,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,2,1,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,2,1,6,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([],1)=>0 [5,7,2,3,1,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,2,3,1,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,2,3,4,1,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,2,3,4,6,1]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,7,2,3,6,1,4]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [5,7,2,3,6,4,1]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [5,7,2,4,1,3,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,2,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,7,2,4,3,1,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,2,4,3,6,1]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,2,4,6,1,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [5,7,2,4,6,3,1]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,2,6,1,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,7,2,6,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>([],1)=>0 [5,7,2,6,3,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>([],1)=>0 [5,7,2,6,3,4,1]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [5,7,2,6,4,1,3]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [5,7,2,6,4,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([],1)=>0 [5,7,3,1,2,4,6]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,3,1,2,6,4]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,3,1,4,2,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,3,1,4,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,7,3,1,6,2,4]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [5,7,3,1,6,4,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [5,7,3,2,1,4,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>([(0,1)],2)=>1 [5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,7,3,2,4,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,3,2,4,6,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,7,3,4,1,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7)=>([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>4 [5,7,3,4,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,3,4,2,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,3,4,6,2,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,3,6,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>([],1)=>0 [5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,2),(2,1)],3)=>2 [5,7,3,6,2,4,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,3,6,4,1,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1)],2)=>1 [5,7,3,6,4,2,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([],1)=>0 [5,7,4,1,2,3,6]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,4,1,2,6,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,7,4,1,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,4,1,3,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [5,7,4,1,6,2,3]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [5,7,4,1,6,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,4,2,1,3,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,7,4,2,3,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,2,3,6,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [5,7,4,2,6,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,7,4,3,1,2,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [5,7,4,6,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(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)=>4 [5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,2),(2,1)],3)=>2 [5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,4,6,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,4,6,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [5,7,6,1,2,3,4]=>([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,6,1,2,4,3]=>([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>([],1)=>0 [5,7,6,1,3,2,4]=>([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [5,7,6,1,3,4,2]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [5,7,6,1,4,2,3]=>([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [5,7,6,1,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>([],1)=>0 [5,7,6,2,1,3,4]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>([],1)=>0 [5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,1)],2)=>1 [5,7,6,2,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,1)],2)=>1 [5,7,6,2,3,4,1]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,7,6,2,4,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,2),(2,1)],3)=>2 [5,7,6,2,4,3,1]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([],1)=>0 [5,7,6,3,1,2,4]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,1)],2)=>1 [5,7,6,3,1,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,2),(2,1)],3)=>2 [5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [5,7,6,3,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [5,7,6,4,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([],1)=>0 [5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>([],1)=>0 [6,1,2,3,4,5,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,1,2,3,4,7,5]=>([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [6,1,2,3,5,4,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [6,1,2,3,5,7,4]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [6,1,2,3,7,4,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>5 [6,1,2,3,7,5,4]=>([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [6,1,2,4,3,5,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>([],1)=>0 [6,1,2,4,3,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [6,1,2,4,5,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [6,1,2,4,5,7,3]=>([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [6,1,2,4,7,3,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>([],1)=>0 [6,1,2,4,7,5,3]=>([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,1,2,5,3,4,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [6,1,2,5,3,7,4]=>([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [6,1,2,5,4,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [6,1,2,5,4,7,3]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [6,1,2,5,7,3,4]=>([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [6,1,2,5,7,4,3]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [6,1,2,7,3,4,5]=>([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [6,1,2,7,3,5,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [6,1,2,7,4,3,5]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>([(0,1)],2)=>1 [6,1,2,7,4,5,3]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,2,7,5,3,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,2,7,5,4,3]=>([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>([(0,1)],2)=>1 [6,1,3,2,4,5,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [6,1,3,2,4,7,5]=>([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>([],1)=>0 [6,1,3,2,5,4,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,1,3,2,5,7,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [6,1,3,2,7,4,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [6,1,3,2,7,5,4]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,4,2,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [6,1,3,4,2,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [6,1,3,4,5,2,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,4,5,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,4,7,2,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>([(0,1)],2)=>1 [6,1,3,4,7,5,2]=>([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,1,3,5,2,4,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,5,2,7,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [6,1,3,5,4,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [6,1,3,5,7,2,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,5,7,4,2]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>([],1)=>0 [6,1,3,7,2,4,5]=>([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>([],1)=>0 [6,1,3,7,2,5,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,7,4,2,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,3,7,4,5,2]=>([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,1,3,7,5,2,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,1,3,7,5,4,2]=>([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [6,1,4,2,3,5,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>([(0,1)],2)=>1 [6,1,4,2,3,7,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [6,1,4,2,5,3,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,4,2,5,7,3]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,4,2,7,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,1)],2)=>1 [6,1,4,2,7,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,1,4,3,2,5,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,1,4,3,2,7,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,1,4,3,5,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,1,4,3,5,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,1,4,3,7,2,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,1,4,3,7,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,1,4,5,2,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,4,5,2,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,4,5,3,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,4,5,3,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,4,5,7,3,2]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>([(0,1)],2)=>1 [6,1,4,7,2,3,5]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>([(0,1)],2)=>1 [6,1,4,7,2,5,3]=>([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,1,4,7,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,1,4,7,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,1,4,7,5,2,3]=>([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,1,4,7,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,5,2,3,4,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,1,5,2,3,7,4]=>([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,5,2,4,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [6,1,5,2,4,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [6,1,5,2,7,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,1,5,2,7,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([],1)=>0 [6,1,5,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,1,5,3,2,7,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,1,5,3,4,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,5,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [6,1,5,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,1,5,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [6,1,5,4,2,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,5,4,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [6,1,5,4,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,1,5,4,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,1,5,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,5,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [6,1,5,7,2,3,4]=>([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,1,5,7,2,4,3]=>([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [6,1,5,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,1,5,7,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,5,7,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [6,1,5,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>([],1)=>0 [6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [6,1,7,2,3,5,4]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [6,1,7,2,4,3,5]=>([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [6,1,7,2,4,5,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,2,5,3,4]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,2,5,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [6,1,7,3,2,4,5]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>([(0,1)],2)=>1 [6,1,7,3,2,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,3,4,2,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,3,4,5,2]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,1,7,3,5,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,1,7,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [6,1,7,4,2,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,4,2,5,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,1,7,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,1,7,4,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>([(0,1)],2)=>1 [6,1,7,4,5,2,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,1,7,4,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,5,2,3,4]=>([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,1,7,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [6,1,7,5,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>([(0,1)],2)=>1 [6,1,7,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,5,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([(0,1)],2)=>1 [6,2,1,3,4,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>([],1)=>0 [6,2,1,3,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>([],1)=>0 [6,2,1,3,5,4,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [6,2,1,3,5,7,4]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [6,2,1,3,7,4,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>([],1)=>0 [6,2,1,3,7,5,4]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,4,3,5,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [6,2,1,4,3,7,5]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,2,1,4,5,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,4,5,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,4,7,3,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [6,2,1,4,7,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,1,5,3,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,5,3,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,5,4,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,2,1,5,4,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [6,2,1,5,7,3,4]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,5,7,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([],1)=>0 [6,2,1,7,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>([],1)=>0 [6,2,1,7,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,7,4,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,2,1,7,4,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,1,7,5,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,1,7,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,2,3,1,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [6,2,3,1,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [6,2,3,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,3,1,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [6,2,3,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [6,2,3,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,4,1,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,3,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,3,4,5,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,4,5,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,4,7,1,5]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,3,4,7,5,1]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,2,3,5,1,4,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,5,4,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,2,3,5,4,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,2,3,5,7,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,5,7,4,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,2,3,7,1,4,5]=>([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,1)],2)=>1 [6,2,3,7,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,7,4,1,5]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,3,7,4,5,1]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,2,3,7,5,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,2,3,7,5,4,1]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,2,4,1,3,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,3,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,5,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,4,1,5,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,4,1,7,3,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,7,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,2,4,3,1,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,2,4,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,4,3,5,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,2,4,3,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,2,4,3,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,4,3,7,5,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,4,5,1,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,4,5,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,4,5,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,2,4,5,3,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,2,4,5,7,1,3]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,4,5,7,3,1]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,2,4,7,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,4,7,1,5,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,2,4,7,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,4,7,3,5,1]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,4,7,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,2,4,7,5,3,1]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,2,5,1,3,4,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,1,3,7,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,1,4,3,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,2,5,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [6,2,5,1,7,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,1,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([],1)=>0 [6,2,5,3,1,4,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [6,2,5,3,1,7,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,5,3,4,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,2,5,3,4,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,2,5,3,7,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,2,5,3,7,4,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,2,5,4,1,3,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,2,5,4,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,2,5,4,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,2,5,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,2,5,4,7,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,2,5,4,7,3,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [6,2,5,7,1,3,4]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>([],1)=>0 [6,2,5,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>([],1)=>0 [6,2,5,7,3,4,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [6,2,5,7,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,1)],2)=>1 [6,2,5,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [6,2,7,1,3,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>([],1)=>0 [6,2,7,1,3,5,4]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [6,2,7,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [6,2,7,1,4,5,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,7,1,5,3,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,7,1,5,4,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,2,7,3,1,4,5]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [6,2,7,3,1,5,4]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,7,3,4,1,5]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,7,3,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,2,7,3,5,1,4]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,2,7,3,5,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [6,2,7,4,1,3,5]=>([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,7,4,1,5,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,2,7,4,3,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,2,7,4,3,5,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,2,7,4,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>4 [6,2,7,4,5,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,2,7,5,1,3,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,2,7,5,1,4,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,2,7,5,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,1)],2)=>1 [6,2,7,5,3,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,3,1,2,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [6,3,1,2,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [6,3,1,2,5,4,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,1,2,5,7,4]=>([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [6,3,1,2,7,4,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>([(0,1)],2)=>1 [6,3,1,2,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,4,2,5,7]=>([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [6,3,1,4,2,7,5]=>([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,1,4,5,2,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,4,5,7,2]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,4,7,2,5]=>([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,1,4,7,5,2]=>([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,3,1,5,2,4,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,2,7,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,3,1,5,4,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,1,5,7,2,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [6,3,1,7,2,4,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,1)],2)=>1 [6,3,1,7,2,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,7,4,2,5]=>([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,7,4,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,3,1,7,5,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,3,1,7,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,3,2,1,4,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>([],1)=>0 [6,3,2,1,4,7,5]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [6,3,2,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>([],1)=>0 [6,3,2,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [6,3,2,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,3,2,4,1,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,3,2,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [6,3,2,4,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [6,3,2,4,5,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [6,3,2,4,7,1,5]=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,3,2,4,7,5,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [6,3,2,5,1,4,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,2,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>([],1)=>0 [6,3,2,5,4,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,2,5,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,2,5,7,1,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [6,3,2,5,7,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [6,3,2,7,1,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [6,3,2,7,1,5,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,3,2,7,4,1,5]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [6,3,2,7,4,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,4,1,2,5,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,4,1,2,7,5]=>([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,4,1,5,2,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,4,1,5,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,4,1,7,2,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,4,1,7,5,2]=>([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [6,3,4,2,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [6,3,4,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,4,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,3,4,2,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [6,3,4,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,4,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,4,5,1,2,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,4,5,1,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,4,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,4,5,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,4,5,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,4,5,7,2,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,4,7,1,2,5]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,4,7,1,5,2]=>([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [6,3,4,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,4,7,2,5,1]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,4,7,5,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,3,4,7,5,2,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,5,1,2,4,7]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,5,1,2,7,4]=>([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,5,1,4,2,7]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,3,5,1,4,7,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,5,1,7,2,4]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,5,1,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([],1)=>0 [6,3,5,2,1,4,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,5,2,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,5,2,4,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,5,2,4,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,5,2,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [6,3,5,2,7,4,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,5,4,1,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,5,4,1,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,5,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,5,4,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,5,4,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,3,5,4,7,2,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,3,5,7,1,2,4]=>([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,5,7,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>([],1)=>0 [6,3,5,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,3,5,7,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,5,7,4,1,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [6,3,5,7,4,2,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,3,7,1,2,4,5]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [6,3,7,1,2,5,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,7,1,4,2,5]=>([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,7,1,4,5,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,3,7,1,5,2,4]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,3,7,1,5,4,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,3,7,2,1,4,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,3,7,2,4,1,5]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,3,7,2,4,5,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,7,4,1,2,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,7,4,1,5,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [6,3,7,4,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,7,4,2,5,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,7,4,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,3,7,5,1,2,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [6,3,7,5,1,4,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,3,7,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,4,1,2,3,5,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,1,2,3,7,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,1,2,5,3,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,1,2,5,7,3]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,1,2,7,3,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,4,1,2,7,5,3]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,4,1,3,2,5,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,4,1,3,2,7,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,1,3,5,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [6,4,1,3,5,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [6,4,1,3,7,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,1,3,7,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([],1)=>0 [6,4,1,5,2,3,7]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,4,1,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,4,1,5,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,1,5,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,1,5,7,2,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,4,1,5,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,1,7,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,4,1,7,2,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,4,1,7,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([],1)=>0 [6,4,1,7,3,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([],1)=>0 [6,4,1,7,5,2,3]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,4,1,7,5,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,2,1,3,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [6,4,2,1,3,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>([],1)=>0 [6,4,2,1,5,3,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,4,2,1,5,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>([],1)=>0 [6,4,2,1,7,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [6,4,2,1,7,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,4,2,3,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [6,4,2,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,4,2,3,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,2,3,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [6,4,2,3,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,4,2,3,7,5,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,4,2,5,1,3,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,4,2,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,4,2,5,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,2,5,3,7,1]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,2,5,7,1,3]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,4,2,5,7,3,1]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,2,7,1,3,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,4,2,7,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [6,4,2,7,3,5,1]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,4,2,7,5,3,1]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,3,1,2,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [6,4,3,1,2,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,4,3,1,5,2,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,3,1,5,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [6,4,3,1,7,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,4,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [6,4,3,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,3,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,4,3,2,5,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,3,5,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,3,5,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,3,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,4,3,5,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,4,3,5,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>([(0,1)],2)=>1 [6,4,3,5,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,4,3,7,1,2,5]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,4,5,1,2,3,7]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,1,2,7,3]=>([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,1,3,2,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,1,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,1,7,2,3]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,1,7,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,5,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,5,2,7,3,1]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,7,1,3,2]=>([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>([(0,1)],2)=>1 [6,4,5,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,5,7,2,3,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,7,3,2,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,4,7,1,2,3,5]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,7,1,2,5,3]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,4,7,1,3,2,5]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [6,4,7,1,3,5,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>([],1)=>0 [6,4,7,1,5,2,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [6,4,7,1,5,3,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,7,2,1,3,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([],1)=>0 [6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>([],1)=>0 [6,4,7,2,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,7,2,3,5,1]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>([],1)=>0 [6,4,7,2,5,3,1]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,7,3,1,2,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,1)],2)=>1 [6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,4,7,5,1,2,3]=>([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>([(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)=>4 [6,4,7,5,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>([(0,2),(2,1)],3)=>2 [6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,4,7,5,2,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,7,5,3,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,1,2,3,4,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,2,3,7,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,2,4,3,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,5,1,2,4,7,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,5,1,2,7,3,4]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,2,7,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,5,1,3,2,4,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,5,1,3,2,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,5,1,3,4,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,5,1,3,4,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,1,3,7,2,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,5,1,3,7,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,1,4,2,3,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,5,1,4,2,7,3]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,1,4,3,2,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,5,1,4,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [6,5,1,4,7,2,3]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,1,4,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [6,5,1,7,2,3,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,7,2,4,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [6,5,1,7,3,2,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,5,1,7,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,1,7,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [6,5,2,1,3,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [6,5,2,1,3,7,4]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>([],1)=>0 [6,5,2,1,4,3,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,5,2,1,4,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,2,1,7,3,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,5,2,3,1,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,2,3,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,2,3,4,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,3,4,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,3,7,1,4]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,2,3,7,4,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,1,3,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,1,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,3,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,5,2,4,3,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,5,2,4,7,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,4,7,3,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,5,2,7,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,5,2,7,3,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,2,7,3,4,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,5,3,1,2,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,3,1,2,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,3,1,4,2,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,3,1,4,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,3,1,7,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,3,2,1,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,5,3,2,4,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,5,3,2,4,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,5,3,4,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,3,4,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,3,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,3,4,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,3,4,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,3,4,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,3,7,1,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>([(0,1)],2)=>1 [6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,4,1,2,3,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,4,1,2,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,4,1,3,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [6,5,4,1,3,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [6,5,4,1,7,2,3]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [6,5,4,2,1,3,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [6,5,4,2,3,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,4,2,3,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,4,3,1,2,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,5,4,7,1,2,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)=>([],1)=>0 [6,5,7,1,2,3,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,7,1,2,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [6,5,7,1,3,2,4]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>([],1)=>0 [6,5,7,1,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,1)],2)=>1 [6,5,7,1,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>([(0,1)],2)=>1 [6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>([],1)=>0 [6,5,7,2,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>([],1)=>0 [6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [6,5,7,2,3,1,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,5,7,2,3,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [6,5,7,3,1,2,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,7,4,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)=>([],1)=>0 [6,7,1,2,3,5,4]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [6,7,1,2,4,3,5]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>([(0,1)],2)=>1 [6,7,1,2,4,5,3]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,2,5,3,4]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,2,5,4,3]=>([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [6,7,1,3,2,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>([(0,1)],2)=>1 [6,7,1,3,2,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,3,4,2,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,3,4,5,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,1,3,5,2,4]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,1,3,5,4,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [6,7,1,4,2,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,4,2,5,3]=>([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,1,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,7,1,4,3,5,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,7,1,4,5,2,3]=>([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,7,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,5,2,3,4]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,1,5,2,4,3]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [6,7,1,5,3,2,4]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [6,7,1,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>([(0,1)],2)=>1 [6,7,2,1,3,4,5]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [6,7,2,1,3,5,4]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,1,4,3,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,1,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,2,1,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,2,1,5,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>([(0,1)],2)=>1 [6,7,2,3,1,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,3,1,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,2,3,4,1,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,2,3,4,5,1]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,2,3,5,1,4]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,2,3,5,4,1]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [6,7,2,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,2,4,1,5,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,2,4,3,1,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,7,2,4,3,5,1]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,7,2,4,5,3,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,5,1,3,4]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,2,5,1,4,3]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,7,2,5,3,1,4]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [6,7,2,5,3,4,1]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [6,7,3,1,2,4,5]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,1,2,5,4]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,3,1,4,2,5]=>([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,3,1,4,5,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,3,1,5,2,4]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,3,1,5,4,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [6,7,3,2,1,4,5]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,7,3,2,4,1,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>([(0,1)],2)=>1 [6,7,3,2,4,5,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,4,1,2,5]=>([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,7,3,4,2,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,4,2,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,4,5,2,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,3,5,1,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>([(0,1)],2)=>1 [6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,5,2,4,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [6,7,4,1,2,3,5]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,4,1,2,5,3]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,4,1,3,2,5]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,7,4,1,3,5,2]=>([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>([(0,1)],2)=>1 [6,7,4,1,5,3,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,2,1,3,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>([(0,1)],2)=>1 [6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,7,4,2,3,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,2,3,5,1]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [6,7,4,2,5,3,1]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,4,3,1,2,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,4,5,1,3,2]=>([(0,6),(1,5),(2,3),(2,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,5,2,3,1]=>([(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,5,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [6,7,5,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [6,7,5,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [6,7,5,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,5,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [6,7,5,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,5,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,5,4,3,2,1]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,1,2,3,4,5,6]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [7,1,2,3,4,6,5]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>([],1)=>0 [7,1,2,3,5,4,6]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>([],1)=>0 [7,1,2,3,5,6,4]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [7,1,2,3,6,4,5]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>([(0,1)],2)=>1 [7,1,2,3,6,5,4]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [7,1,2,4,3,5,6]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>([],1)=>0 [7,1,2,4,3,6,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>([(0,1)],2)=>1 [7,1,2,4,5,3,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [7,1,2,4,5,6,3]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,2,4,6,3,5]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,2,4,6,5,3]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>([],1)=>0 [7,1,2,5,3,4,6]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>([(0,1)],2)=>1 [7,1,2,5,3,6,4]=>([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,2,5,4,3,6]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [7,1,2,5,4,6,3]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [7,1,2,5,6,3,4]=>([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,2,5,6,4,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,1,2,6,3,4,5]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,2,6,3,5,4]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>([],1)=>0 [7,1,2,6,4,3,5]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>([],1)=>0 [7,1,2,6,4,5,3]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,1,2,6,5,3,4]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,1,2,6,5,4,3]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [7,1,3,2,4,5,6]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>([],1)=>0 [7,1,3,2,4,6,5]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [7,1,3,2,5,4,6]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,1)],2)=>1 [7,1,3,2,5,6,4]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [7,1,3,2,6,4,5]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>([(0,2),(2,1)],3)=>2 [7,1,3,2,6,5,4]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,1,3,4,2,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [7,1,3,4,2,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [7,1,3,4,5,2,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,3,4,5,6,2]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,3,4,6,2,5]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,3,4,6,5,2]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [7,1,3,5,2,4,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,3,5,2,6,4]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,3,5,4,2,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [7,1,3,5,4,6,2]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [7,1,3,5,6,2,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,1,3,5,6,4,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [7,1,3,6,2,4,5]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,3,6,2,5,4]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [7,1,3,6,4,2,5]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [7,1,3,6,4,5,2]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [7,1,3,6,5,2,4]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [7,1,3,6,5,4,2]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [7,1,4,2,3,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>([(0,1)],2)=>1 [7,1,4,2,3,6,5]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>([(0,2),(2,1)],3)=>2 [7,1,4,2,5,3,6]=>([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,4,2,5,6,3]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,4,2,6,3,5]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,4,2,6,5,3]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>([],1)=>0 [7,1,4,3,2,5,6]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,1,4,3,2,6,5]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,1,4,3,5,2,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,1,4,3,5,6,2]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,1,4,3,6,2,5]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,1,4,3,6,5,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,1,4,5,2,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,4,5,2,6,3]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,1,4,5,3,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [7,1,4,5,3,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [7,1,4,5,6,2,3]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,1,4,5,6,3,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,1,4,6,2,3,5]=>([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,1,4,6,2,5,3]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>([],1)=>0 [7,1,4,6,3,2,5]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [7,1,4,6,3,5,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,4,6,5,2,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [7,1,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [7,1,5,2,3,4,6]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>([(0,2),(2,1)],3)=>2 [7,1,5,2,3,6,4]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,5,2,4,3,6]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [7,1,5,2,4,6,3]=>([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>([],1)=>0 [7,1,5,2,6,3,4]=>([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,1,5,2,6,4,3]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>([(0,1)],2)=>1 [7,1,5,3,2,4,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,1,5,3,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,1,5,3,4,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [7,1,5,3,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [7,1,5,3,6,2,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [7,1,5,3,6,4,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,5,4,2,3,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [7,1,5,4,2,6,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>([(0,1)],2)=>1 [7,1,5,4,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,1,5,4,3,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,1,5,4,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [7,1,5,4,6,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [7,1,5,6,2,3,4]=>([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,1,5,6,2,4,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>([(0,1)],2)=>1 [7,1,5,6,3,2,4]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>([(0,1)],2)=>1 [7,1,5,6,3,4,2]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,5,6,4,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [7,1,6,2,3,4,5]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,6,2,3,5,4]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>([],1)=>0 [7,1,6,2,4,3,5]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>([],1)=>0 [7,1,6,2,4,5,3]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [7,1,6,2,5,3,4]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>([(0,1)],2)=>1 [7,1,6,2,5,4,3]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>([],1)=>0 [7,1,6,3,2,4,5]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,1,6,3,2,5,4]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,1,6,3,4,2,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [7,1,6,3,4,5,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,1,6,3,5,2,4]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [7,1,6,4,2,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>([(0,1)],2)=>1 [7,1,6,4,2,5,3]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,1,6,4,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,1,6,4,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [7,1,6,4,5,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [7,1,6,5,2,3,4]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,1,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>([],1)=>0 [7,1,6,5,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>([],1)=>0 [7,1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [7,1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>([(0,1)],2)=>1 [7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>([],1)=>0 [7,2,1,3,4,5,6]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>([],1)=>0 [7,2,1,3,4,6,5]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>([(0,1)],2)=>1 [7,2,1,3,5,4,6]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>([(0,1)],2)=>1 [7,2,1,3,5,6,4]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,1,3,6,4,5]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,1,3,6,5,4]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [7,2,1,4,3,5,6]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,1,4,3,6,5]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,1,4,5,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [7,2,1,4,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,1,4,6,3,5]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,1,4,6,5,3]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,2,1,5,3,4,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>([(0,2),(2,1)],3)=>2 [7,2,1,5,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,1,5,4,3,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,2,1,5,4,6,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [7,2,1,5,6,3,4]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,2,1,5,6,4,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,1,6,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,1,6,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,2,1,6,4,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>([],1)=>0 [7,2,1,6,4,5,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,1,6,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,1,6,5,4,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,2,3,1,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [7,2,3,1,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,2,3,1,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,3,1,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,3,1,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,3,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,2,3,4,1,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,3,4,1,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,3,4,5,1,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,3,4,5,6,1]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,3,4,6,1,5]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,3,4,6,5,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [7,2,3,5,1,4,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,3,5,1,6,4]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,3,5,4,1,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,3,5,4,6,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,3,5,6,1,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [7,2,3,5,6,4,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,2,3,6,1,4,5]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,3,6,1,5,4]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,2,3,6,4,1,5]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,2,3,6,4,5,1]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,2,3,6,5,1,4]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,2,3,6,5,4,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [7,2,4,1,3,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,2,4,1,3,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,4,1,5,3,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,4,1,5,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,4,1,6,3,5]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,4,1,6,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([],1)=>0 [7,2,4,3,1,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,2,4,3,1,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,2,4,3,5,1,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,2,4,3,5,6,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,2,4,3,6,1,5]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,2,4,3,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,2,4,5,1,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,2,4,5,1,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,2,4,5,3,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,4,5,3,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,4,5,6,1,3]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [7,2,4,5,6,3,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,2,4,6,1,3,5]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,2,4,6,1,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([],1)=>0 [7,2,4,6,3,1,5]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,2,4,6,3,5,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,2,4,6,5,1,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,2,4,6,5,3,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,2,5,1,3,4,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,5,1,3,6,4]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,5,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,2,5,1,4,6,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [7,2,5,1,6,3,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [7,2,5,1,6,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,1)],2)=>1 [7,2,5,3,1,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [7,2,5,3,1,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,2,5,3,4,1,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,5,3,4,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,5,3,6,1,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,2,5,3,6,4,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,5,4,1,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [7,2,5,4,3,1,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,2,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,2,5,4,6,1,3]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [7,2,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,5,6,1,3,4]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [7,2,5,6,1,4,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [7,2,5,6,3,1,4]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [7,2,5,6,3,4,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,2,5,6,4,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,2,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,6,1,3,4,5]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,2,6,1,3,5,4]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([],1)=>0 [7,2,6,1,4,3,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,6,1,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,6,1,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,6,1,5,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,2,6,3,1,4,5]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [7,2,6,3,1,5,4]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,2,6,3,4,1,5]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,2,6,3,4,5,1]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,2,6,3,5,1,4]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,2,6,3,5,4,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,2,6,4,1,3,5]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,2,6,4,1,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,2,6,4,3,1,5]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,6,4,3,5,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,2,6,4,5,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,2,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,6,5,1,3,4]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,2,6,5,1,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,2,6,5,3,1,4]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [7,2,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,3,1,2,4,5,6]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>([(0,1)],2)=>1 [7,3,1,2,4,6,5]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,3,1,2,5,4,6]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,3,1,2,5,6,4]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,2,6,4,5]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,2,6,5,4]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,3,1,4,2,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,3,1,4,2,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,4,5,2,6]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,4,5,6,2]=>([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,4,6,2,5]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,4,6,5,2]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>([],1)=>0 [7,3,1,5,2,4,6]=>([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,5,2,6,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,5,4,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,3,1,5,4,6,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,1,5,6,2,4]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [7,3,1,5,6,4,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,3,1,6,2,4,5]=>([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,6,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>([],1)=>0 [7,3,1,6,4,2,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>([],1)=>0 [7,3,1,6,4,5,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,3,1,6,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>([(0,1)],2)=>1 [7,3,1,6,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,3,2,1,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [7,3,2,1,4,6,5]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>([],1)=>0 [7,3,2,1,5,4,6]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>([],1)=>0 [7,3,2,1,5,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,3,2,1,6,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,3,2,1,6,5,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,3,2,4,1,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [7,3,2,4,1,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,3,2,4,5,1,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [7,3,2,4,5,6,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [7,3,2,4,6,1,5]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [7,3,2,4,6,5,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [7,3,2,5,1,4,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [7,3,2,5,1,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [7,3,2,5,4,1,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,2,5,4,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,2,5,6,1,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [7,3,2,5,6,4,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,3,2,6,1,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,3,2,6,1,5,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,3,2,6,4,1,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,3,2,6,4,5,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,3,4,1,2,5,6]=>([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,3,4,1,2,6,5]=>([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,3,4,1,5,2,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,3,4,1,5,6,2]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [7,3,4,1,6,2,5]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [7,3,4,1,6,5,2]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [7,3,4,2,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,3,4,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,3,4,2,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,3,4,2,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,3,4,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,3,4,2,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,4,5,1,2,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,3,4,5,1,6,2]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,3,4,5,2,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,4,5,2,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,4,5,6,1,2]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,3,4,5,6,2,1]=>([(3,4),(4,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,4,6,1,2,5]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,3,4,6,1,5,2]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [7,3,4,6,2,1,5]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,4,6,2,5,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,4,6,5,1,2]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [7,3,4,6,5,2,1]=>([(3,4),(4,5),(4,6)],7)=>([],1)=>0 [7,3,5,1,2,4,6]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,3,5,1,2,6,4]=>([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [7,3,5,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,3,5,1,4,6,2]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,5,1,6,2,4]=>([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [7,3,5,1,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,1)],2)=>1 [7,3,5,2,1,4,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [7,3,5,2,1,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [7,3,5,2,4,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,5,2,4,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,5,2,6,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,3,5,2,6,4,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,5,4,1,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,5,4,1,6,2]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,5,4,2,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,5,4,2,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,5,4,6,1,2]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,5,4,6,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,5,6,1,2,4]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [7,3,5,6,1,4,2]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [7,3,5,6,2,1,4]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [7,3,5,6,2,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,3,5,6,4,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,3,5,6,4,2,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,3,6,1,2,4,5]=>([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [7,3,6,1,2,5,4]=>([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [7,3,6,1,4,2,5]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,3,6,1,4,5,2]=>([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>([(0,1)],2)=>1 [7,3,6,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>([(0,1)],2)=>1 [7,3,6,1,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>([],1)=>0 [7,3,6,2,1,4,5]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,6,2,4,1,5]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,6,2,4,5,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,6,2,5,1,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,6,2,5,4,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,3,6,4,1,2,5]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,3,6,4,1,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,6,4,2,1,5]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,3,6,4,2,5,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,3,6,4,5,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,3,6,4,5,2,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,3,6,5,1,2,4]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,3,6,5,1,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([],1)=>0 [7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,4,1,2,3,5,6]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,4,1,2,3,6,5]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,1,2,5,3,6]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,1,2,5,6,3]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,4,1,2,6,3,5]=>([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,4,1,2,6,5,3]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,4,1,3,2,5,6]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,4,1,3,2,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,1,3,5,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>([],1)=>0 [7,4,1,3,5,6,2]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>([],1)=>0 [7,4,1,3,6,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,1,3,6,5,2]=>([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,1,5,2,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,4,1,5,2,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,1,5,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,1,5,6,2,3]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [7,4,1,5,6,3,2]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,4,1,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,4,1,6,2,5,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>([],1)=>0 [7,4,1,6,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [7,4,1,6,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,1,6,5,2,3]=>([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>([(0,1)],2)=>1 [7,4,1,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,4,2,1,3,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>([],1)=>0 [7,4,2,1,3,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,2,1,5,3,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [7,4,2,1,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,4,2,1,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>([],1)=>0 [7,4,2,1,6,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,4,2,3,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,4,2,3,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,2,3,5,1,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,4,2,3,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,4,2,3,6,1,5]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,2,3,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,2,5,1,3,6]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,4,2,5,1,6,3]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,4,2,5,3,1,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,2,5,3,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,2,5,6,1,3]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,4,2,5,6,3,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,2,6,1,3,5]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,4,2,6,1,5,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,4,2,6,3,1,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,2,6,3,5,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,2,6,5,3,1]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,4,3,1,2,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,4,3,1,2,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,3,1,5,2,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>([(0,1)],2)=>1 [7,4,3,1,5,6,2]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>([(0,1)],2)=>1 [7,4,3,1,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,3,2,1,5,6]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,3,2,5,1,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [7,4,3,2,5,6,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,3,5,1,2,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,3,5,1,6,2]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,3,5,2,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,4,3,5,2,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,4,3,5,6,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [7,4,3,5,6,2,1]=>([(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,4,3,6,1,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,5,1,2,3,6]=>([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,4,5,1,2,6,3]=>([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,4,5,1,3,2,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,1,3,6,2]=>([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,1,6,2,3]=>([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [7,4,5,1,6,3,2]=>([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,5,2,1,3,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,2,1,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [7,4,5,2,3,1,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,2,3,6,1]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,2,6,1,3]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [7,4,5,2,6,3,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,4,5,3,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,3,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,3,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,3,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,3,6,2,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,4,5,6,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7)=>([(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)=>4 [7,4,5,6,1,3,2]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [7,4,5,6,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [7,4,5,6,2,3,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,4,5,6,3,1,2]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,4,5,6,3,2,1]=>([(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,6,1,2,3,5]=>([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,4,6,1,2,5,3]=>([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>([],1)=>0 [7,4,6,1,3,2,5]=>([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,6,1,3,5,2]=>([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,6,1,5,2,3]=>([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>([(0,1)],2)=>1 [7,4,6,1,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>([],1)=>0 [7,4,6,2,1,3,5]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1)],2)=>1 [7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,6,2,3,1,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,6,2,3,5,1]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,4,6,2,5,1,3]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([],1)=>0 [7,4,6,3,1,2,5]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,6,3,1,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,4,6,3,5,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,4,6,5,1,2,3]=>([(1,6),(2,4),(2,5),(6,3)],7)=>([(0,2),(2,1)],3)=>2 [7,4,6,5,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7)=>([],1)=>0 [7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>([],1)=>0 [7,5,1,2,3,4,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,1,2,3,6,4]=>([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,5,1,2,4,3,6]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,5,1,2,4,6,3]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,5,1,2,6,3,4]=>([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [7,5,1,2,6,4,3]=>([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,5,1,3,2,4,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,5,1,3,2,6,4]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,1,3,4,2,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,5,1,3,4,6,2]=>([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,1,3,6,2,4]=>([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,1,3,6,4,2]=>([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,1,4,2,3,6]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,5,1,4,2,6,3]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,1,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,5,1,4,3,6,2]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,5,1,4,6,2,3]=>([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,1,4,6,3,2]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>([],1)=>0 [7,5,1,6,2,3,4]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [7,5,1,6,2,4,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,5,1,6,3,2,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>([(0,1)],2)=>1 [7,5,1,6,3,4,2]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,1,6,4,2,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>([(0,1)],2)=>1 [7,5,2,1,3,4,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>([],1)=>0 [7,5,2,1,3,6,4]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>([],1)=>0 [7,5,2,1,4,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,5,2,1,4,6,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,2,1,6,3,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>([],1)=>0 [7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,3,1,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,5,2,3,1,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,2,3,4,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,3,4,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,3,6,1,4]=>([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,2,3,6,4,1]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,2,4,1,3,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,4,1,6,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,4,3,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,5,2,4,3,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,5,2,4,6,1,3]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,4,6,3,1]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,5,2,6,1,3,4]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>([],1)=>0 [7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,6,3,1,4]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,2,6,3,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,5,2,6,4,1,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,5,3,1,2,4,6]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,5,3,1,2,6,4]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,3,1,4,2,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,3,1,4,6,2]=>([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,3,1,6,2,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,3,1,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,3,2,1,4,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>([],1)=>0 [7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,3,2,4,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,5,3,2,4,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,3,4,1,2,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,3,4,1,6,2]=>([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,3,4,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,3,4,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,3,4,6,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,3,4,6,2,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,3,6,1,2,4]=>([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>([(0,1)],2)=>1 [7,5,3,6,1,4,2]=>([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [7,5,3,6,4,1,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,4,1,2,3,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,4,1,2,6,3]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,5,4,1,3,2,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,5,4,1,3,6,2]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,5,4,1,6,2,3]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,5,4,2,1,3,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,5,4,2,3,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,4,2,3,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,4,3,1,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,5,4,6,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>([(0,2),(2,1)],3)=>2 [7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>([],1)=>0 [7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([],1)=>0 [7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)=>([],1)=>0 [7,5,6,1,2,3,4]=>([(1,6),(2,4),(5,3),(6,5)],7)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,5,6,1,2,4,3]=>([(1,5),(2,6),(6,3),(6,4)],7)=>([(0,1)],2)=>1 [7,5,6,1,3,2,4]=>([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,5,6,1,3,4,2]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,1,4,2,3]=>([(1,5),(2,4),(2,6),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>([(0,1)],2)=>1 [7,5,6,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>([(0,1)],2)=>1 [7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,2,3,1,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,2,3,4,1]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,6,2,4,1,3]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,5,6,3,1,2,4]=>([(1,6),(2,4),(3,5),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,3,1,4,2]=>([(1,6),(2,5),(3,4),(3,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,6,3,4,1,2]=>([(1,6),(2,5),(3,4)],7)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,4,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,4,3,2,1]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,6,1,2,3,4,5]=>([(2,6),(4,5),(5,3),(6,4)],7)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,6,1,2,3,5,4]=>([(2,5),(5,6),(6,3),(6,4)],7)=>([],1)=>0 [7,6,1,2,4,3,5]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,1,2,4,5,3]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,6,1,2,5,3,4]=>([(2,6),(5,4),(6,3),(6,5)],7)=>([(0,1)],2)=>1 [7,6,1,2,5,4,3]=>([(2,6),(6,3),(6,4),(6,5)],7)=>([],1)=>0 [7,6,1,3,2,4,5]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,6,1,3,2,5,4]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,6,1,3,4,2,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,6,1,3,4,5,2]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,6,1,3,5,2,4]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,1,3,5,4,2]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,6,1,4,2,3,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,6,1,4,2,5,3]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,1,4,3,2,5]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,6,1,4,3,5,2]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,1,4,5,2,3]=>([(2,5),(2,6),(5,4),(6,3)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,1,4,5,3,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,6,1,5,2,3,4]=>([(2,4),(2,6),(5,3),(6,5)],7)=>([(0,2),(2,1)],3)=>2 [7,6,1,5,2,4,3]=>([(2,5),(2,6),(6,3),(6,4)],7)=>([],1)=>0 [7,6,1,5,3,2,4]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,1,5,3,4,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,6,1,5,4,2,3]=>([(2,4),(2,5),(2,6),(6,3)],7)=>([(0,1)],2)=>1 [7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>([],1)=>0 [7,6,2,1,3,4,5]=>([(2,6),(3,6),(4,5),(6,4)],7)=>([],1)=>0 [7,6,2,1,3,5,4]=>([(2,6),(3,6),(6,4),(6,5)],7)=>([(0,1)],2)=>1 [7,6,2,1,4,3,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,1)],2)=>1 [7,6,2,1,4,5,3]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,6,2,1,5,3,4]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>([(0,2),(2,1)],3)=>2 [7,6,2,1,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,6,2,3,1,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,6,2,3,1,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,2,3,4,1,5]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,2,3,4,5,1]=>([(3,4),(4,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,2,3,5,1,4]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,2,3,5,4,1]=>([(3,4),(4,5),(4,6)],7)=>([],1)=>0 [7,6,2,4,1,3,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,2,4,1,5,3]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,2,4,3,1,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,2,4,3,5,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,2,4,5,1,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,6,2,4,5,3,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,2,5,1,3,4]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,2,5,1,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,6,2,5,3,1,4]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,6,2,5,3,4,1]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,6,3,1,2,4,5]=>([(2,6),(3,4),(4,6),(6,5)],7)=>([(0,1)],2)=>1 [7,6,3,1,2,5,4]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,3,1,4,2,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,3,1,4,5,2]=>([(2,6),(3,4),(3,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,3,1,5,2,4]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,3,1,5,4,2]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,6,3,2,1,4,5]=>([(2,6),(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,6,3,2,4,1,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,6,3,2,4,5,1]=>([(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,6,3,4,1,2,5]=>([(2,5),(3,4),(4,6),(5,6)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,3,4,1,5,2]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,6,3,4,2,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,3,4,2,5,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,3,4,5,1,2]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,6,3,4,5,2,1]=>([(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,3,5,1,2,4]=>([(2,5),(3,4),(3,6),(5,6)],7)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,6,3,5,1,4,2]=>([(2,5),(2,6),(3,4),(3,6)],7)=>([],1)=>0 [7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>([],1)=>0 [7,6,4,1,2,3,5]=>([(2,6),(3,4),(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,4,1,2,5,3]=>([(2,6),(3,4),(4,5),(4,6)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,4,1,3,2,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,4,1,3,5,2]=>([(2,6),(3,4),(3,5),(5,6)],7)=>([],1)=>0 [7,6,4,1,5,2,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>([(0,1)],2)=>1 [7,6,4,2,1,3,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>([],1)=>0 [7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],1)=>0 [7,6,4,2,3,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,4,2,3,5,1]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>([],1)=>0 [7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,4,3,1,2,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)=>([],1)=>0 [7,6,4,5,1,2,3]=>([(2,4),(3,5),(5,6)],7)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>([(0,1)],2)=>1 [7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>([(0,1)],2)=>1 [7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,4,5,3,2,1]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,1,2,3,4]=>([(3,4),(4,6),(6,5)],7)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,1,2,4,3]=>([(3,4),(4,5),(4,6)],7)=>([],1)=>0 [7,6,5,1,3,2,4]=>([(3,4),(3,5),(4,6),(5,6)],7)=>([],1)=>0 [7,6,5,1,3,4,2]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,1,4,2,3]=>([(3,4),(3,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>([],1)=>0 [7,6,5,2,1,3,4]=>([(3,6),(4,6),(6,5)],7)=>([],1)=>0 [7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,1)],2)=>1 [7,6,5,2,3,1,4]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,2,3,4,1]=>([(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>([],1)=>0 [7,6,5,3,1,2,4]=>([(3,6),(4,5),(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)=>([],1)=>0 [7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)=>([],1)=>0 [7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,5,3,4,2,1]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,4,1,2,3]=>([(4,5),(5,6)],7)=>([(0,2),(2,1)],3)=>2 [7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>([],1)=>0 [7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)=>([],1)=>0 [7,6,5,4,2,3,1]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,4,3,1,2]=>([(5,6)],7)=>([(0,1)],2)=>1 [7,6,5,4,3,2,1]=>([],7)=>([],1)=>0 [8,7,6,5,4,3,2,1]=>([],8)=>([],1)=>0 [7,6,8,5,4,3,2,1]=>([(5,7),(6,7)],8)=>([],1)=>0 [7,8,5,6,4,3,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,5,7,4,3,2,1]=>([(5,7),(6,7)],8)=>([],1)=>0 [5,6,7,8,4,3,2,1]=>([(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,6,4,5,3,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,7,4,5,3,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,5,4,6,3,2,1]=>([(5,7),(6,7)],8)=>([],1)=>0 [8,4,5,6,7,3,2,1]=>([(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,4,8,3,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [6,5,7,4,8,3,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,5,4,6,8,3,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [4,5,6,7,8,3,2,1]=>([(3,4),(4,7),(6,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,8,6,5,3,4,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,7,5,3,4,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,5,6,3,4,2,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,7,8,3,4,2,1]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [5,6,7,8,3,4,2,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,7,6,4,3,5,2,1]=>([(5,7),(6,7)],8)=>([],1)=>0 [7,6,8,4,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [6,7,8,3,4,5,2,1]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [8,7,3,4,5,6,2,1]=>([(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,3,4,5,6,2,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,5,4,3,7,2,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,6,4,3,5,7,2,1]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,3,4,5,6,7,2,1]=>([(3,4),(4,7),(6,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,4,6,7,3,8,2,1]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)=>([],1)=>0 [4,5,6,7,3,8,2,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,4,5,6,8,2,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,6,5,4,2,3,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,7,5,4,2,3,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,5,6,4,2,3,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,7,8,4,2,3,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,7,6,4,5,2,3,1]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,4,5,6,7,2,3,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,7,6,5,3,2,4,1]=>([(5,7),(6,7)],8)=>([],1)=>0 [7,6,8,5,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [8,6,5,7,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [5,6,7,8,3,2,4,1]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,8,5,2,3,4,1]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [8,5,6,7,2,3,4,1]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [6,5,7,8,2,3,4,1]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [7,8,6,3,2,4,5,1]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [8,6,7,3,2,4,5,1]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [6,7,8,3,2,4,5,1]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,7,6,2,3,4,5,1]=>([(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,6,2,3,4,5,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,7,2,3,4,5,1]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,6,8,2,3,4,5,1]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,5,4,3,2,6,1]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,7,4,3,5,2,6,1]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,7,5,3,2,4,6,1]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,8,3,2,4,5,6,1]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [8,7,2,3,4,5,6,1]=>([(3,4),(4,7),(6,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,4,3,5,6,2,7,1]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)=>([],1)=>0 [8,3,4,5,6,2,7,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,6,2,3,4,5,7,1]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [6,7,5,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,5,6,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [6,5,7,4,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,6,4,5,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,4,5,6,3,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,5,7,3,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [4,5,6,7,3,2,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,3,4,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,6,4,3,5,2,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,6,3,4,5,2,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,5,3,6,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,5,3,4,6,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,3,4,5,6,2,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,4,3,7,2,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [6,4,5,3,7,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [5,4,6,3,7,2,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [6,5,3,4,7,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [6,4,3,5,7,2,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [7,6,5,4,2,3,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [6,7,4,5,2,3,8,1]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,6,4,7,2,3,8,1]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,6,7,2,3,8,1]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,6,5,3,2,4,8,1]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,6,5,2,3,4,8,1]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,6,4,2,3,5,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,6,2,3,4,5,8,1]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,2,3,4,5,8,1]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,5,4,3,2,6,8,1]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [7,4,3,5,2,6,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [7,5,4,2,3,6,8,1]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [7,5,3,2,4,6,8,1]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [2,3,4,5,6,7,8,1]=>([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [7,8,6,5,4,3,1,2]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,7,5,4,3,1,2]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,5,6,4,3,1,2]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,7,8,4,3,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [5,6,7,8,4,3,1,2]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,7,6,4,5,3,1,2]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,4,6,7,3,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [5,4,6,7,8,3,1,2]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [8,7,6,5,3,4,1,2]=>([(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,7,8,3,4,1,2]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,4,3,5,6,1,2]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [7,8,4,3,5,6,1,2]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,3,4,5,6,1,2]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,4,3,5,6,7,1,2]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [5,6,7,4,3,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,4,6,3,8,1,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)=>([(0,1)],2)=>1 [4,5,6,7,3,8,1,2]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,6,4,3,5,8,1,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)=>([(0,1)],2)=>1 [7,6,3,4,5,8,1,2]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,3,4,5,6,8,1,2]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,5,6,3,7,8,1,2]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,4,5,7,8,1,2]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,4,3,6,7,8,1,2]=>([(0,7),(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [4,3,5,6,7,8,1,2]=>([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8)=>([(0,1)],2)=>1 [8,7,6,5,4,2,1,3]=>([(5,7),(6,7)],8)=>([],1)=>0 [7,6,8,5,4,2,1,3]=>([(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [5,6,7,8,4,2,1,3]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,5,6,7,2,1,3]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,7,8,2,1,3]=>([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,7,8,5,4,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [8,5,6,7,4,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [6,5,7,8,4,1,2,3]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,7,4,5,6,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8)=>([(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)=>4 [8,5,4,6,7,1,2,3]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [7,6,5,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>([],1)=>0 [5,6,7,8,3,2,1,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,5,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,7,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,7,5,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,7,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,8,6,5,2,1,3,4]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [6,7,8,5,2,1,3,4]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,7,5,6,2,1,3,4]=>([(2,7),(3,7),(4,5),(7,6)],8)=>([(0,1)],2)=>1 [7,8,5,6,2,1,3,4]=>([(0,7),(1,7),(2,5),(3,4),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,6,7,2,1,3,4]=>([(1,7),(2,7),(3,4),(4,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [6,5,7,8,2,1,3,4]=>([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)=>([],1)=>0 [5,6,7,8,2,1,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,6,5,1,2,3,4]=>([(4,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,6,5,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,7,5,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,6,8,5,1,2,3,4]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,5,6,1,2,3,4]=>([(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,5,7,1,2,3,4]=>([(1,4),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,8,1,2,3,4]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,5,8,1,2,3,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,5,6,8,1,2,3,4]=>([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,5,7,8,1,2,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,6,4,3,2,1,5]=>([(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,7,6,3,2,4,1,5]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,7,6,4,2,1,3,5]=>([(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [7,8,6,2,1,3,4,5]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [8,6,7,2,1,3,4,5]=>([(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [8,7,6,1,2,3,4,5]=>([(3,4),(4,7),(6,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,6,8,1,2,3,4,5]=>([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,8,3,4,5,2,1,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,8,5,2,3,4,1,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,7,2,3,4,5,1,6]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,2,3,4,5,1,6]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,8,5,4,2,1,3,6]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7)],8)=>([(0,1)],2)=>1 [7,8,5,4,1,2,3,6]=>([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,7,5,2,1,3,4,6]=>([(2,7),(3,6),(4,6),(5,7),(6,5)],8)=>([],1)=>0 [7,8,5,2,1,3,4,6]=>([(0,7),(1,6),(2,6),(3,4),(5,7),(6,5)],8)=>([(0,1)],2)=>1 [8,7,5,1,2,3,4,6]=>([(2,4),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,5,1,2,3,4,6]=>([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,8,2,3,4,1,5,6]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,8,4,1,2,3,5,6]=>([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,8,3,2,1,4,5,6]=>([(0,7),(1,7),(2,7),(3,4),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [7,8,2,1,3,4,5,6]=>([(0,7),(1,7),(2,4),(5,3),(6,5),(7,6)],8)=>([(0,1)],2)=>1 [8,6,5,4,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,5,6,4,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,6,4,5,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,4,5,6,3,2,1,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,6,5,3,4,2,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,4,5,3,6,2,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,3,4,5,6,2,1,7]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,6,5,4,2,3,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,6,5,3,2,4,1,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,6,5,2,3,4,1,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,6,4,2,3,5,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,5,4,3,2,6,1,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [8,4,3,5,2,6,1,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [8,5,4,2,3,6,1,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,5,3,2,4,6,1,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [8,6,5,4,3,1,2,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,5,6,3,4,1,2,7]=>([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [8,4,5,3,6,1,2,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,3,4,6,1,2,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,3,4,5,6,1,2,7]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,5,4,2,1,3,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,6,5,4,1,2,3,7]=>([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,6,5,2,3,1,4,7]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,5,6,2,3,1,4,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,6,3,1,2,4,7]=>([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,5,1,2,3,4,7]=>([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,6,1,2,3,4,7]=>([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,6,4,3,2,1,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [8,6,3,4,2,1,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,6,4,2,3,1,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,6,3,2,4,1,5,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [8,6,4,3,1,2,5,7]=>([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,6,4,2,1,3,5,7]=>([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [8,1,2,3,4,5,6,7]=>([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [7,6,5,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [5,6,7,4,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,7,4,5,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,5,6,7,3,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,5,3,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,3,4,2,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,7,3,4,2,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,6,3,4,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,3,4,5,6,2,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,5,4,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,4,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,7,4,2,3,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,6,4,5,2,3,1,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,6,7,2,3,1,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,5,7,3,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([],1)=>0 [5,6,7,3,2,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,6,5,2,3,4,1,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,7,5,2,3,4,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,6,2,3,4,1,8]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,7,2,3,4,1,8]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,2,3,4,1,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>4 [7,6,2,3,4,5,1,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,2,3,4,5,1,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,3,4,5,6,7,1,8]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [6,7,5,4,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,6,4,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,4,5,3,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,6,7,3,1,2,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,6,5,3,4,1,2,8]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,7,4,2,1,3,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([],1)=>0 [7,5,4,6,2,1,3,8]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>([],1)=>0 [4,5,6,7,2,1,3,8]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,5,4,1,2,3,8]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,4,1,2,3,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>4 [7,4,5,6,1,2,3,8]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)=>([(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)=>4 [7,6,5,1,2,3,4,8]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,7,5,1,2,3,4,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,5,6,1,2,3,4,8]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,5,7,1,2,3,4,8]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,2,3,4,5,6,8]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,3,2,1,5,6,7,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>([],1)=>0 [1,2,3,4,5,6,7,8]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>7 [6,5,8,7,4,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,7,6,5,8,3,2,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [4,6,7,5,8,3,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,7,8,6,5,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [3,6,8,7,5,4,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [3,5,8,7,6,4,2,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [3,5,6,8,7,4,2,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [3,5,6,7,8,4,2,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,8,7,6,5,2,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,3,6,7,8,5,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,4,3,8,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,5,6,3,8,7,2,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,6,5,8,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,7,6,4,3,8,2,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [2,7,8,6,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [2,6,8,7,5,4,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [2,5,6,7,8,4,3,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,6,7,8,5,4,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,3,5,6,8,7,4,1]=>([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8)=>([],1)=>0 [2,3,5,6,7,8,4,1]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,4,6,7,8,5,1]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,4,2,5,7,8,6,1]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,3,6,5,8,7,1]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,5,7,6,4,2,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [3,5,6,7,4,2,8,1]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,4,7,2,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [4,3,6,5,7,2,8,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [2,5,6,7,4,3,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [2,5,4,7,6,3,8,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,2,6,5,7,4,8,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)=>([],1)=>0 [2,3,5,6,7,4,8,1]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,3,5,2,7,6,8,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [3,2,5,4,7,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,8,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>([],1)=>0 [1,7,8,6,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [1,6,7,8,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [1,6,5,8,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,5,6,7,8,4,3,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,5,7,8,6,4,2]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [1,3,5,6,7,8,4,2]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,4,3,8,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,4,3,7,8,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,1)],2)=>1 [1,6,5,4,3,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [1,5,6,4,3,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [1,4,3,6,5,8,7,2]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,3,4,5,6,7,8,2]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,1,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([],1)=>0 [2,1,6,7,8,5,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,5,8,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,6,7,5,8,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,5,6,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,5,7,8,6,3]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,4,6,5,8,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,6,5,7,4,8,3]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)=>([],1)=>0 [2,1,5,4,7,6,8,3]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,4,5,6,7,8,3]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,2,6,7,8,5,4,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,2,5,6,7,8,4,3]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,8,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([],1)=>0 [3,2,1,6,7,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,6,5,8,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,3,1,6,5,8,7,4]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [1,2,3,5,6,7,8,4]=>([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,2,1,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [4,3,2,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)=>([],1)=>0 [4,3,2,1,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)=>([],1)=>0 [4,3,2,1,7,6,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([],1)=>0 [4,3,2,1,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([],1)=>0 [3,4,2,1,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [3,4,2,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,3,1,8,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,4,3,1,6,8,7,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,4,3,1,7,6,8,5]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [2,4,3,1,6,7,8,5]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([],1)=>0 [3,2,4,1,8,7,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [3,2,4,1,6,8,7,5]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [3,2,4,1,7,6,8,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [2,3,4,1,8,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,3,4,1,6,8,7,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([],1)=>0 [2,3,4,1,6,7,8,5]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,4,3,2,8,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,3,4,2,8,7,6,5]=>([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,1,4,3,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [2,1,4,3,7,8,6,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,4,3,6,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [2,1,4,3,7,6,8,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,4,3,6,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,2,4,3,8,7,6,5]=>([(0,1),(1,2),(1,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [3,2,1,4,8,7,6,5]=>([(0,7),(1,7),(2,7),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [2,3,1,4,8,7,6,5]=>([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [1,3,2,4,8,7,6,5]=>([(0,5),(0,6),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [2,1,3,4,8,7,6,5]=>([(0,7),(1,7),(6,2),(6,3),(6,4),(6,5),(7,6)],8)=>([],1)=>0 [1,2,3,4,8,7,6,5]=>([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [5,4,3,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [3,4,5,2,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,5,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [3,2,5,4,1,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [4,3,2,1,5,8,7,6]=>([(0,7),(1,7),(2,7),(3,7),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [4,3,2,1,5,7,8,6]=>([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)=>([],1)=>0 [3,2,1,4,5,8,7,6]=>([(0,7),(1,7),(2,7),(6,3),(6,4),(6,5),(7,6)],8)=>([(0,1)],2)=>1 [2,3,1,4,5,7,8,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,4,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,5,6,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,3,6,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,5,3,6,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,3,5,6,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)=>([(0,1)],2)=>1 [2,4,3,6,5,1,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,3,5,2,6,1,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)=>([],1)=>0 [3,2,5,4,6,1,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [2,3,4,5,6,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,1,6,5,4,3,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [2,1,5,6,4,3,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [2,1,4,6,5,3,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([],1)=>0 [2,1,5,4,6,3,8,7]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)=>([],1)=>0 [2,1,4,5,6,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,3,2,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [3,4,2,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,4,3,1,6,5,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [3,2,4,1,6,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [2,3,4,1,6,5,8,7]=>([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,3,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,2,1,5,6,8,7]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(7,4)],8)=>([],1)=>0 [2,1,3,4,5,6,8,7]=>([(0,7),(1,7),(4,6),(5,4),(6,2),(6,3),(7,5)],8)=>([(0,1)],2)=>1 [5,4,7,6,3,2,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,2,7,6,5,4,1,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [3,2,6,7,5,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [5,4,3,2,7,6,1,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)=>([],1)=>0 [4,5,3,2,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [3,2,5,4,7,6,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [1,6,5,7,4,3,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [1,5,4,6,3,7,2,8]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [1,3,2,7,6,5,4,8]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [4,3,2,1,7,6,5,8]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)=>([],1)=>0 [4,3,2,1,6,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)=>([],1)=>0 [1,4,3,2,7,6,5,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [1,3,4,2,6,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,4,3,2,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>([],1)=>0 [1,3,2,5,4,7,6,8]=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,3,2,1,5,7,6,8]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,4),(7,5)],8)=>([],1)=>0 [1,2,4,3,5,7,6,8]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [1,3,2,4,5,7,6,8]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>([(0,1)],2)=>1 [4,3,2,1,6,5,7,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [1,2,4,3,6,5,7,8]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7),(7,1)],8)=>([(0,1)],2)=>1 [1,3,2,4,6,5,7,8]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>([(0,1)],2)=>1 [1,2,3,5,4,6,7,8]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>([],1)=>0 [1,2,8,4,5,6,7,3]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,8,5,6,7,4,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,3,8,4,5,6,7,2]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,8,4,6,7,5,2]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [1,4,3,8,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,1)],2)=>1 [1,6,4,5,3,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [1,8,4,5,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,8,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [1,8,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [2,1,4,3,8,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,4,5,8,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,6,4,5,3,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [2,1,8,4,5,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,8,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,8,5,6,4,7,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,8,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [2,3,1,8,6,7,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,1)],2)=>1 [2,3,4,8,5,6,7,1]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,3,6,4,5,1,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)=>([(0,1)],2)=>1 [2,3,7,4,5,6,8,1]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [2,3,8,4,5,6,7,1]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,8,5,6,7,4,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,7,4,3,6,5,8,1]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [2,7,4,5,6,3,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [2,8,4,5,6,7,3,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,6,4,5,3,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [2,8,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [2,8,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [3,2,1,8,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,7,5,6,4,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [4,2,3,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,2,3,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,3,1,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,2,3,8,5,6,7,1]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,3,8,5,7,6,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [5,2,3,4,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,4,5,3,6,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,2,4,5,6,7,3,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,2,4,5,7,6,3,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [7,2,4,6,5,3,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [8,2,4,7,6,5,3,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [7,2,6,4,5,3,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,2,6,4,5,3,7,1]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,2,6,4,5,7,3,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [8,2,7,4,6,5,3,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [8,2,7,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [8,2,7,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [4,3,2,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)=>([],1)=>0 [5,3,2,4,6,1,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)=>([],1)=>0 [6,3,2,5,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,3,2,5,4,7,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,2,5,6,7,4,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,2,7,6,5,4,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,3,4,2,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [5,3,4,2,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [6,3,4,2,5,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,3,4,5,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,4,5,2,7,6,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,6,5,4,7,2,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [7,4,3,6,5,2,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [8,6,3,5,4,2,7,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [8,5,4,3,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,4,3,6,5,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,4,1,3,6,5,8,7]=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,6,3,5,8,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,6,3,5,8,7]=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,6,1,3,5,8,7]=>([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [2,1,4,3,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,3,6,8,5,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,1,4,6,3,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,6,3,8,5,7]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [2,4,6,1,3,8,5,7]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>6 [2,1,4,6,8,3,5,7]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,4,1,6,8,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [2,4,6,1,8,3,5,7]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>6 [2,4,1,6,3,7,5,8]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,1,6,3,7,8,5]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [2,4,1,6,7,3,8,5]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [2,4,6,1,7,3,8,5]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>6 [2,1,4,3,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,3,7,5,8,6]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,7,1,3,5,8,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>6 [2,1,4,3,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [2,1,4,3,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,4,5,8,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,1,5,3,6,4,8,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,5,6,3,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,5,1,6,7,3,4,8]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,5,1,6,7,3,8,4]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)=>6 [2,1,5,6,7,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [2,1,5,3,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,5,1,7,3,4,8,6]=>([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>6 [2,1,5,7,3,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>5 [2,3,5,1,7,4,8,6]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [2,3,5,6,1,7,8,4]=>([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>6 [2,1,6,3,7,4,8,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,6,1,3,7,4,8,5]=>([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [2,1,6,3,4,7,8,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,1,6,8,4,5,7]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [2,1,6,3,4,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,1,7,8,3,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [2,1,8,3,4,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,4,1,8,5,6,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,3,1,4,5,8,6,7]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,2,6,5,8,7]=>([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,1,2,6,5,8,7]=>([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [3,1,4,2,6,8,5,7]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,1,4,6,8,2,5,7]=>([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [3,4,6,1,2,7,5,8]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,4,6,1,2,7,8,5]=>([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)=>([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)=>6 [3,1,4,2,7,5,8,6]=>([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,4,1,2,7,8,5,6]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [3,4,5,6,1,7,2,8]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [3,1,5,2,6,4,8,7]=>([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,5,1,6,2,4,8,7]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>5 [3,1,5,6,2,8,4,7]=>([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>6 [3,1,5,2,7,4,8,6]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [3,1,5,2,7,4,6,8]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,5,7,1,2,4,6,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [1,3,5,7,2,4,6,8]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,3,5,2,7,4,8,6]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,3,5,7,8,2,4,6]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [3,1,5,2,8,4,6,7]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [1,3,5,2,4,6,7,8]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [1,3,5,6,2,7,4,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,3,5,6,7,8,2,4]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [3,1,6,2,7,4,8,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [3,1,6,7,2,4,5,8]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [1,3,6,2,4,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,6,7,4,8,5]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [1,3,6,2,7,8,4,5]=>([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,1,6,2,8,4,5,7]=>([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8)=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>6 [3,1,6,8,2,4,5,7]=>([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9)=>6 [3,1,2,6,8,4,5,7]=>([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [1,3,7,2,8,4,5,6]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,1,2,4,5,7,8,6]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,4,5,8,6,7]=>([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,5,2,6,3,8,7]=>([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [4,1,5,2,6,8,3,7]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8)=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>6 [4,5,1,6,2,7,3,8]=>([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [4,1,5,2,7,3,8,6]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>6 [4,1,5,2,7,8,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9)=>6 [4,5,1,2,7,3,6,8]=>([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [1,4,2,5,7,3,6,8]=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,4,5,7,2,3,8,6]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,5,1,2,8,3,6,7]=>([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8)=>([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)=>6 [1,4,2,5,3,6,7,8]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [1,4,5,6,7,2,3,8]=>([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,1,6,2,7,3,8,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>6 [1,4,2,6,7,8,3,5]=>([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [4,1,6,2,8,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8)=>([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9)=>6 [4,1,2,6,3,8,5,7]=>([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [1,4,2,6,3,8,5,7]=>([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,1,2,3,6,5,8,7]=>([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,2,4,6,3,5,7,8]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,2),(2,1)],3)=>2 [1,4,2,3,6,7,5,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,3,6,7,8,5]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,4,2,7,8,3,5,6]=>([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [1,4,2,3,7,5,6,8]=>([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,3,8,5,6,7]=>([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,5,2,6,3,7,4,8]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,5,6,7,2,3,4,8]=>([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>([(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)=>4 [5,1,6,2,3,8,4,7]=>([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8)=>([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9)=>6 [1,5,6,2,3,8,4,7]=>([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [1,2,5,3,6,4,7,8]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>([(0,2),(2,1)],3)=>2 [1,2,5,6,3,4,7,8]=>([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,1,2,3,4,6,8]=>([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [1,5,2,7,3,4,6,8]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,2,3,5,7,4,6,8]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,2,8,3,4,6,7]=>([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8)=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>6 [1,6,2,7,3,8,4,5]=>([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [1,6,7,2,3,4,5,8]=>([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [1,2,3,6,4,7,5,8]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,1,2,3,4,5,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,7,2,8,3,4,5,6]=>([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [1,8,2,3,4,5,6,7]=>([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [1,2,3,8,4,5,6,7]=>([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,2,6,1,4,8,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [7,3,2,5,4,8,1,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,4,5,2,3,7,6,1]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,4,5,2,3,8,1,6]=>([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,6,2,1,3,8,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,6,1,5,4,2,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,6,5,1,3,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,6,4,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,4,3,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,6,4,3,7,2,5,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,6,4,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,7,4,3,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,3,1,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,5,1,3,8,2,6]=>([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,7,1,5,4,8,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [2,1,7,5,4,8,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,8,1,5,4,7,6,2]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,8,5,1,3,7,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [5,8,4,3,1,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,8,4,3,7,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,8,4,3,6,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,8,5,7,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(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)=>4 [5,8,6,7,1,3,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,8,6,1,7,3,5,2]=>([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,8,1,6,7,4,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,8,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,7,6,8,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)=>([],1)=>0 [3,7,1,6,8,4,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)=>([],1)=>0 [4,7,6,1,8,3,2,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [5,7,6,8,1,3,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)=>([],1)=>0 [5,4,7,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)=>([],1)=>0 [6,4,7,2,8,1,3,5]=>([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)=>([],1)=>0 [7,4,6,2,8,3,1,5]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,4,6,2,7,3,5,1]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [8,3,2,6,7,4,5,1]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,3,2,6,8,4,1,5]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)=>([(0,1)],2)=>1 [6,3,2,7,8,1,4,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)=>([],1)=>0 [5,3,2,7,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)=>([],1)=>0 [4,3,2,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([],1)=>0 [3,4,1,2,8,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,3,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [6,3,2,8,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [7,3,2,8,6,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,4,7,2,6,5,3,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([],1)=>0 [7,4,8,2,6,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,4,8,2,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [5,4,8,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [4,5,8,1,2,7,6,3]=>([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([],1)=>0 [3,5,1,8,2,7,6,4]=>([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)=>([],1)=>0 [2,1,5,8,3,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,6,8,7,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)=>([],1)=>0 [3,6,1,8,7,2,5,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [4,6,8,1,7,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)=>([],1)=>0 [5,6,8,7,1,2,4,3]=>([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)=>([],1)=>0 [6,5,8,7,2,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,8,6,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(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)=>4 [8,5,7,6,2,4,3,1]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [5,7,8,6,1,4,2,3]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,8,1,6,5,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,1,8,6,5,2,4]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,7,8,6,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,8,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>([],1)=>0 [4,8,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>([],1)=>0 [5,8,7,6,1,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>([],1)=>0 [6,8,7,5,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [6,4,7,1,2,3,5,8]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,5,8,1,2,3,4,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,8,1,2,3,4,6]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,7,1,2,4,5,6]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [8,5,7,1,2,3,4,6]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [4,2,6,8,1,3,5,7]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [6,2,4,8,1,3,5,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,3,5,8,1,2,4,7]=>([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,2,7,8,1,4,5,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8)=>([],1)=>0 [8,3,5,7,1,2,4,6]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [4,8,2,7,1,3,5,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [5,8,3,7,1,2,4,6]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [7,8,2,4,1,3,5,6]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,2,6,1,4,7,8]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [5,3,2,7,1,4,6,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(6,5),(7,4)],8)=>([],1)=>0 [5,3,2,8,1,4,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(7,5)],8)=>([],1)=>0 [6,4,2,8,1,3,5,7]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([],1)=>0 [7,4,2,8,1,3,5,6]=>([(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(6,4)],8)=>([],1)=>0 [7,4,3,8,1,2,5,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [8,4,2,6,1,3,5,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [8,6,2,4,1,3,5,7]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,3,2,7,1,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([],1)=>0 [8,4,2,7,1,3,5,6]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)=>([],1)=>0 [8,7,4,6,1,2,3,5]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,2,4,8,1,3,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,2,5,8,1,3,6]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,2,4,8,1,3,6]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,3,6,8,1,2,5]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [4,3,2,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([],1)=>0 [5,4,2,6,8,1,3,7]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [6,5,2,4,8,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,4,2,7,8,1,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)=>([],1)=>0 [8,7,2,4,6,1,3,5]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,4,7,2,5,1,3,8]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [6,4,8,2,5,1,3,7]=>([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)=>([],1)=>0 [6,4,8,2,7,1,3,5]=>([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)=>([],1)=>0 [7,5,8,2,4,1,3,6]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,8,2,6,1,3,4]=>([(0,7),(1,5),(2,6),(2,7),(3,5),(3,6),(7,4)],8)=>([],1)=>0 [8,5,6,2,4,1,3,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,5,7,2,4,1,3,6]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,5,7,2,6,1,3,4]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,6,7,2,5,1,3,4]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,5,3,2,6,1,4,8]=>([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [5,4,3,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [8,6,5,2,4,1,3,7]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,5,2,6,1,3,4]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [8,7,5,3,6,1,2,4]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)=>([(0,1)],2)=>1 [4,8,3,7,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,8,5,7,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(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)=>4 [6,5,3,8,2,7,1,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [7,5,3,8,2,6,1,4]=>([(0,6),(1,5),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,5,4,7,2,6,1,3]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)=>([],1)=>0 [8,5,4,7,3,6,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [6,5,4,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,5,3,2,6,1,4]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,5,4,2,6,1,3]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [8,7,6,5,2,4,1,3]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,1,2,3,7,4,5,6]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [8,1,2,6,3,4,5,7]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,1,2,8,7,3,5,6]=>([(0,5),(0,6),(0,7),(1,4),(3,7),(4,3),(4,5),(4,6),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [8,1,2,7,6,3,4,5]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,1,8,2,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [3,1,7,2,6,4,8,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,1,4,2,3,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,1)],2)=>1 [6,1,5,2,3,8,4,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,4,2,7,3,8,6]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [8,1,4,2,6,3,5,7]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,4,2,6,3,8,5]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,5,2,7,3,4,6]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,1,5,2,6,3,8,4]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,1,8,6,2,4,5,7]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,1,6,5,2,3,4,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [7,1,8,6,2,3,4,5]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,1,4,5,6,7,2,3]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,8,1,3,7,4,5,6]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,4,1,8,6,3,5,7]=>([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)=>([(0,1)],2)=>1 [8,3,1,2,4,7,5,6]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,1,2,7,4,5,6]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,4,1,2,8,3,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [5,8,1,2,7,3,4,6]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,1,5,2,7,4,6]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [8,4,1,6,2,3,5,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,4,1,8,2,3,5,6]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [8,7,1,6,2,3,4,5]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,1,5,6,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [8,3,1,5,7,2,4,6]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [8,3,1,7,6,2,4,5]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [8,3,1,5,6,7,2,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [2,3,8,1,4,7,5,6]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [2,3,8,1,7,4,5,6]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,3,8,1,6,7,4,5]=>([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,4,1,3,8,5,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [2,7,5,1,3,4,8,6]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [2,6,8,1,3,7,4,5]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [2,8,4,1,6,3,5,7]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,4,1,2,7,8,5]=>([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,3,5,1,2,4,8,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,3,8,1,2,7,4,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,4,1,2,3,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,8,5,1,2,3,4,7]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,5,4,1,2,7,3,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,3,4,1,6,7,2,5]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [2,8,4,6,1,3,5,7]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,8,4,6,1,7,3,5]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [7,3,6,5,1,2,8,4]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,4,5,7,1,2,6]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [7,3,4,5,6,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,8,4,5,6,7,1,3]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,5,2,6,1,4,8,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [3,5,2,6,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,7,4,8,1,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,7,4,8,6,1]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [4,5,7,2,3,8,6,1]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,5,7,2,3,8,1,6]=>([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,2,3,1,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,6,2,1,3,8,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,5,1,6,4,2,8,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,5,6,1,3,2,8,7]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,2),(2,1)],3)=>2 [4,5,6,3,1,2,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,7,3,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,5,7,3,2,8,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,3,8,2,5,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,3,8,1,2,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,7,3,1,8,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,7,1,3,8,2,6]=>([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,5,1,7,4,8,2,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [2,1,5,7,4,8,3,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [2,1,5,7,4,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,1,7,4,8,6,2]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,1,3,8,6,2]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,5,7,3,1,8,6,2]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [4,6,7,3,8,1,5,2]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [4,6,7,3,8,5,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,6,7,8,1,3,4,2]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,6,7,1,8,3,5,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,6,1,7,8,4,5,2]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,6,7,8,4,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,6,7,8,4,3,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,6,1,7,8,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,1,8,3,2,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,8,1,3,2,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,7,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,2,8,1,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,2,8,3,1,5]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [3,6,2,7,8,4,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,6,2,7,8,4,1,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,6,2,7,8,1,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8)=>([(0,1)],2)=>1 [3,5,2,7,1,8,4,6]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)=>([(0,1)],2)=>1 [3,4,2,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,1)],2)=>1 [3,4,1,2,7,8,6,5]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [3,5,2,7,1,8,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,7,8,1,5,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,6,2,7,8,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,6,2,7,8,5,4,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,2,8,5,3,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,2,8,5,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [4,6,7,2,8,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,5,7,2,1,8,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,5,7,1,2,8,6,3]=>([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,5,1,7,2,8,6,4]=>([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,1)],2)=>1 [2,1,5,7,3,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,6,7,8,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,2),(2,1)],3)=>2 [3,6,1,7,8,2,5,4]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,1,8,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,8,1,2,4,3]=>([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,8,2,1,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,6,7,8,2,4,3,1]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,8,1,4,2,3]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,6,7,1,8,5,2,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,1,7,8,5,2,4]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,6,7,8,5,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,1,7,8,5,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,1,8,5,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,8,1,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,8,4,1,3,2]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,8,7,3,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [3,6,7,4,5,8,1,2]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [2,6,7,4,5,1,8,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [1,6,7,4,5,2,3,8]=>([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [1,5,4,7,6,2,3,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,4,7,6,1,8,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,4,7,6,8,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,3,7,8,6,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,4,3,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,8,3,7,5,1,2]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,4,8,6,7,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,3,5,6,8,7,1,2]=>([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,2,5,6,1,8,7,4]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8)=>([(0,1)],2)=>1 [4,2,5,6,8,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8)=>([(0,1)],2)=>1 [5,2,4,8,6,1,7,3]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,8,1,4,5,2,3,6]=>([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,1,8,4,5,2,3,7]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,1,4,8,6,2,3,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,1,3,2,8,6,5,7]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [5,1,3,8,2,6,4,7]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [6,1,8,3,2,5,4,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,1,3,2,5,4,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,2,3,1,5,6,4]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,2,8,3,1,5,7,4]=>([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,2,3,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,8,2,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [7,8,3,2,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,4,2,6,1,5,3]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,2,8,7,1,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [4,5,2,7,8,1,6,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,3,7,1,6,8,4]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [1,5,3,7,2,6,4,8]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [1,6,7,3,2,5,4,8]=>([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,7,3,1,5,8,4]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,2,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,8,5,6,2,1,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [6,5,8,7,1,2,3,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,4,1,8,7,2,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,4,8,1,7,2,3,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,8,3,1,2,6,4,5]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,3,1,8,2,7,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,1,2,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,1,3,8,5,7,6]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [5,2,1,8,3,4,7,6]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,3)],8)=>([(0,1)],2)=>1 [6,2,8,1,3,4,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7),(6,3)],8)=>([(0,1)],2)=>1 [7,8,2,1,3,4,6,5]=>([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,1,2,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [5,3,1,6,2,4,8,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,3,1,5,2,4,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,1,5,2,8,4,6]=>([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,5,1,2,7,3,6]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [7,4,5,1,2,8,3,6]=>([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,5,1,2,3,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,4,6,1,2,3,8,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,5,3,4,8,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [3,6,1,5,2,4,8,7]=>([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,6,5,1,2,3,8,7]=>([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,2),(2,1)],3)=>2 [5,6,4,1,2,3,8,7]=>([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,4,1,2,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,4,1,2,8,3,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,6,4,1,7,2,3,5]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [7,6,4,1,8,2,3,5]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [6,7,4,1,8,2,3,5]=>([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,4,1,2,8,3,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,5,1,2,8,3,6]=>([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,7,1,5,2,8,4,6]=>([(0,3),(0,6),(1,2),(1,5),(1,6),(2,7),(3,5),(3,7),(5,4),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [2,1,7,5,3,8,4,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(4,7),(5,2),(5,7),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [2,1,8,5,3,7,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,1,5,2,7,4,6]=>([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,8,5,1,2,7,3,6]=>([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,8,4,1,2,7,3,6]=>([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [6,8,4,1,7,2,3,5]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [8,7,4,1,6,2,3,5]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,8,6,7,1,2,3,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,8,6,1,7,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,8,1,6,7,2,4,5]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,8,6,7,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,7,6,8,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,7,1,6,8,2,4,5]=>([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,7,6,1,8,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,6,8,1,2,3,4]=>([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,7,1,2,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [6,4,7,1,8,2,3,5]=>([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,6,1,8,2,3,5]=>([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [8,3,1,6,7,2,4,5]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [7,3,1,6,8,2,4,5]=>([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,3,1,7,8,2,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,6),(6,5),(7,3)],8)=>([(0,1)],2)=>1 [5,3,1,7,2,8,4,6]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(7,6)],8)=>([(0,1)],2)=>1 [4,3,1,2,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,1)],2)=>1 [2,1,4,3,8,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [3,4,1,2,8,7,5,6]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [6,3,1,8,7,2,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,8,6,2,4,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [8,4,7,1,6,2,3,5]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,8,1,6,2,3,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [5,4,8,1,2,7,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,5,8,1,2,7,3,6]=>([(0,5),(1,4),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,5,1,8,2,7,4,6]=>([(0,3),(0,7),(1,2),(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,1)],2)=>1 [2,1,5,8,3,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(6,3),(6,4),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,6,8,7,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,2),(2,1)],3)=>2 [3,6,1,8,7,2,4,5]=>([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,6,8,1,7,2,3,5]=>([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,6,8,7,1,2,3,4]=>([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,7,6,1,2,3,4]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,8,6,1,2,3,4]=>([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,7,8,1,6,2,3,5]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,7,1,8,6,2,4,5]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,7,8,6,3,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,1,8,7,6,3,4,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [3,8,1,7,6,2,4,5]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [4,8,7,1,6,2,3,5]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8)=>([(0,2),(2,1)],3)=>2 [5,8,7,6,1,2,3,4]=>([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,8,7,5,1,2,3,4]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,7,3,8,5,1,2]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)=>([(0,1)],2)=>1 [6,4,7,3,5,8,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,4,7,2,5,1,8,3]=>([(0,5),(1,4),(1,7),(2,5),(2,6),(3,4),(3,6),(5,7),(6,7)],8)=>([],1)=>0 [5,4,2,7,6,1,3,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [5,4,2,7,6,1,8,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)=>([],1)=>0 [5,4,3,7,6,8,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [5,4,3,7,8,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)=>([(0,1)],2)=>1 [6,4,8,3,5,7,1,2]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)=>([(0,1)],2)=>1 [5,4,3,8,6,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)=>([(0,1)],2)=>1 [5,4,3,6,8,7,1,2]=>([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [5,4,2,6,7,1,8,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(7,4)],8)=>([],1)=>0 [5,4,2,6,7,1,3,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,6),(7,4)],8)=>([],1)=>0 [5,3,2,6,1,7,4,8]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(6,5),(7,4)],8)=>([],1)=>0 [5,3,2,6,1,7,8,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(5,4),(7,5)],8)=>([],1)=>0 [5,3,2,6,1,8,7,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)=>([],1)=>0 [5,4,2,6,8,1,7,3]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)=>([],1)=>0 [5,4,2,8,6,1,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)=>([],1)=>0 [6,4,8,2,5,1,7,3]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(6,7)],8)=>([],1)=>0 [7,8,4,2,5,1,6,3]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)=>([(0,1)],2)=>1 [7,8,4,2,5,1,3,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [5,4,2,8,6,1,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([],1)=>0 [5,3,2,6,1,8,4,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [4,3,2,1,6,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [4,3,2,1,8,6,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([],1)=>0 [5,3,2,8,1,6,4,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([],1)=>0 [6,3,8,2,1,5,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(5,7),(6,7)],8)=>([],1)=>0 [7,8,3,2,1,5,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [7,8,3,2,1,5,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)=>([(0,1)],2)=>1 [6,3,8,2,1,5,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)=>([],1)=>0 [5,3,2,8,1,6,7,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)=>([],1)=>0 [5,4,2,7,8,1,6,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)=>([],1)=>0 [5,3,2,7,1,8,6,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4)],8)=>([],1)=>0 [5,3,2,7,1,6,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([],1)=>0 [5,3,2,7,1,6,4,8]=>([(0,5),(0,7),(1,4),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)=>([],1)=>0 [6,3,7,2,1,5,4,8]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [6,3,7,2,1,5,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([],1)=>0 [6,3,7,2,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7)],8)=>([],1)=>0 [6,4,7,2,8,1,5,3]=>([(0,5),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(5,6)],8)=>([],1)=>0 [6,5,7,8,2,1,4,3]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(7,4)],8)=>([(0,1)],2)=>1 [6,5,8,7,2,1,3,4]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(7,4)],8)=>([(0,1)],2)=>1 [6,3,7,2,1,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4)],8)=>([],1)=>0 [6,3,7,2,1,4,8,5]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [6,3,7,2,1,4,5,8]=>([(0,7),(1,7),(2,5),(3,5),(3,7),(4,6),(5,6),(7,4)],8)=>([],1)=>0 [5,3,2,7,1,4,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [5,4,2,8,7,1,3,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(3,4),(3,5),(3,6),(4,7)],8)=>([],1)=>0 [7,8,4,2,6,1,3,5]=>([(0,6),(1,5),(1,7),(2,5),(2,6),(3,4),(6,7)],8)=>([(0,1)],2)=>1 [7,8,3,2,1,6,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(7,4)],8)=>([(0,1)],2)=>1 [6,3,8,2,1,7,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(6,4)],8)=>([],1)=>0 [5,3,2,8,1,7,4,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(6,4)],8)=>([],1)=>0 [4,3,2,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)=>([],1)=>0 [4,3,2,1,7,5,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [4,3,2,1,7,5,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)=>([],1)=>0 [4,3,2,1,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8)=>([],1)=>0 [5,3,2,8,1,4,7,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4),(7,5)],8)=>([],1)=>0 [6,3,8,2,1,4,7,5]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,6),(7,4),(7,6)],8)=>([],1)=>0 [7,8,3,2,1,4,6,5]=>([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [6,3,8,2,1,4,5,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,7),(4,6),(7,4)],8)=>([],1)=>0 [4,3,2,1,8,5,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([],1)=>0 [4,3,2,1,5,8,6,7]=>([(0,7),(1,7),(2,7),(3,7),(5,6),(7,4),(7,5)],8)=>([],1)=>0 [7,8,5,6,1,2,4,3]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,4,1,6,2,5,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [7,8,1,4,6,2,5,3]=>([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,1)],2)=>1 [6,1,8,4,7,2,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8)=>([],1)=>0 [1,6,8,4,7,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(3,7),(4,2),(4,6),(5,1),(5,7)],8)=>([],1)=>0 [1,6,8,3,2,7,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)=>([],1)=>0 [6,1,8,3,2,7,5,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [7,8,1,3,2,6,5,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [7,8,3,1,2,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,8,3,4,6,5,1,2]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,2,4,6,1,5,3]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [7,8,2,3,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,8,2,1,3,6,5,4]=>([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [7,8,1,2,3,6,5,4]=>([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [6,1,8,2,3,7,5,4]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8)=>([],1)=>0 [1,6,8,2,3,7,5,4]=>([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8)=>([],1)=>0 [1,5,2,8,3,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8)=>([],1)=>0 [5,1,2,8,3,7,6,4]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8)=>([],1)=>0 [5,2,1,8,3,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)=>([],1)=>0 [6,2,8,1,3,7,5,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8)=>([],1)=>0 [6,2,8,3,1,7,5,4]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [6,2,8,4,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [6,3,8,4,7,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [3,6,8,4,7,5,1,2]=>([(0,4),(1,5),(1,6),(5,3),(5,7),(6,2),(6,7)],8)=>([(0,1)],2)=>1 [2,6,8,4,7,1,5,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5)],8)=>([],1)=>0 [2,6,8,3,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([],1)=>0 [2,6,8,1,3,7,5,4]=>([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8)=>([],1)=>0 [2,5,1,8,3,7,6,4]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [1,2,5,8,3,7,6,4]=>([(0,5),(3,2),(3,6),(3,7),(4,1),(4,6),(4,7),(5,3),(5,4)],8)=>([],1)=>0 [2,4,1,3,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [2,5,3,8,1,7,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,5,4,8,7,1,6,3]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [3,5,4,8,7,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [5,3,4,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [5,2,4,8,7,1,6,3]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,2,3,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,2,1,3,8,7,6,5]=>([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [4,1,2,3,8,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,4,2,3,8,7,6,5]=>([(0,1),(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,1,3,2,8,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,3,1,2,8,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [6,3,8,1,2,7,5,4]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,3,1,8,2,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)=>([],1)=>0 [5,1,3,8,2,7,6,4]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,5,3,8,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,5,4,8,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,1),(4,7)],8)=>([],1)=>0 [5,1,4,8,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([],1)=>0 [5,4,1,8,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)=>([],1)=>0 [6,4,8,1,7,2,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8)=>([],1)=>0 [6,5,8,7,1,2,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)=>([(0,1)],2)=>1 [5,6,8,7,3,4,1,2]=>([(0,6),(1,5),(2,7),(7,3),(7,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,8,7,2,1,4,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5)],8)=>([(0,1)],2)=>1 [4,5,1,8,7,2,6,3]=>([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)=>([],1)=>0 [4,1,5,8,7,2,6,3]=>([(0,7),(1,5),(1,7),(5,4),(5,6),(7,2),(7,3),(7,6)],8)=>([],1)=>0 [1,4,5,8,7,2,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7)],8)=>([],1)=>0 [1,3,5,8,2,7,6,4]=>([(0,2),(0,4),(2,5),(2,6),(2,7),(3,1),(3,6),(3,7),(4,3),(4,5)],8)=>([],1)=>0 [3,1,5,8,2,7,6,4]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [3,6,8,1,2,7,5,4]=>([(0,3),(1,4),(1,6),(1,7),(3,5),(3,6),(3,7),(4,2),(4,5)],8)=>([],1)=>0 [3,6,8,2,1,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(3,7)],8)=>([],1)=>0 [4,6,8,2,7,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,6)],8)=>([],1)=>0 [4,6,8,3,7,5,1,2]=>([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [4,5,3,8,7,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [4,5,2,8,7,1,6,3]=>([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [3,5,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7)],8)=>([],1)=>0 [3,1,4,2,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [3,1,2,4,8,7,6,5]=>([(0,7),(1,2),(2,7),(7,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [3,2,5,8,1,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,4),(6,5)],8)=>([],1)=>0 [4,2,5,8,7,1,6,3]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(7,3),(7,4),(7,6)],8)=>([],1)=>0 [4,3,5,8,7,6,1,2]=>([(0,7),(1,7),(2,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [3,4,5,8,7,6,1,2]=>([(0,5),(1,6),(6,7),(7,2),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [2,4,5,8,7,1,6,3]=>([(0,6),(0,7),(1,4),(1,7),(4,5),(5,2),(5,3),(5,6)],8)=>([],1)=>0 [2,3,5,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,3),(3,4),(3,5),(4,2),(4,6),(4,7)],8)=>([],1)=>0 [4,1,3,2,6,5,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [5,1,3,2,6,4,8,7]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [6,1,3,2,5,4,8,7]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,1,3,2,5,4,8,6]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [8,1,3,2,5,4,7,6]=>([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,1,4,2,5,3,7,6]=>([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,4,2,5,3,8,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,1,4,2,5,3,8,7]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,4,2,6,3,8,7]=>([(0,7),(1,2),(1,4),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [2,1,6,3,5,4,8,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([],1)=>0 [3,1,6,2,5,4,8,7]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,1,6,2,5,3,8,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,2,5,1,4,3,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,2,6,1,4,3,8,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,2,7,1,4,3,8,6]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,2,8,1,4,3,7,6]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,8,1,4,3,7,5]=>([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,7,1,4,3,8,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,2,6,1,4,3,8,5]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,2,5,1,4,3,8,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,1,7,2,5,3,8,6]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)=>([],1)=>0 [3,1,7,2,5,4,8,6]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([],1)=>0 [2,1,7,3,5,4,8,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)=>([],1)=>0 [2,1,8,3,5,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [3,1,8,2,5,4,7,6]=>([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [4,1,8,2,5,3,7,6]=>([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,2,5,1,4,3,7,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,2,6,1,4,3,7,5]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,1,4,3,8,2,6,5]=>([(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,1,4,3,7,2,6,5]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,1,5,3,7,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,1,5,3,8,2,6,4]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,2,6,1,5,3,7,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [5,1,8,2,6,3,7,4]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [4,1,8,2,6,3,7,5]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,1,8,2,6,4,7,5]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,1,8,3,6,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,1,7,3,6,4,8,5]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [4,1,7,2,6,3,8,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [5,1,7,2,6,3,8,4]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [7,2,6,1,5,3,8,4]=>([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [6,2,7,1,5,3,8,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,2,8,1,5,3,7,4]=>([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,1,5,2,6,3,7,4]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,1,5,2,7,3,8,4]=>([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,1,4,2,7,3,8,5]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [8,1,4,2,6,3,7,5]=>([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,1,3,2,6,4,7,5]=>([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,3,2,6,4,8,5]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,1,3,2,7,4,8,5]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)=>([],1)=>0 [5,1,3,2,7,4,8,6]=>([(0,2),(0,3),(1,4),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([],1)=>0 [4,1,3,2,7,5,8,6]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)=>([],1)=>0 [2,1,4,3,8,5,7,6]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [3,1,4,2,8,5,7,6]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [4,1,3,2,8,5,7,6]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [5,1,3,2,8,4,7,6]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [6,1,3,2,8,4,7,5]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [8,4,7,1,3,2,6,5]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,8,1,3,2,6,5]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)=>([],1)=>0 [7,3,8,1,4,2,6,5]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [8,3,7,1,4,2,6,5]=>([(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,1,4,2,8,3,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,4,2,8,3,7,6]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [4,1,5,2,8,3,7,6]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [3,1,5,2,8,4,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [2,1,5,3,8,4,7,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(6,2),(6,3),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [2,1,6,3,8,4,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)=>([],1)=>0 [3,1,6,2,8,4,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)=>([],1)=>0 [4,1,6,2,8,3,7,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)=>([],1)=>0 [5,1,6,2,8,3,7,4]=>([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8)=>([],1)=>0 [6,1,5,2,8,3,7,4]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,7,1,5,2,6,4]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,3,8,1,5,2,6,4]=>([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [6,2,7,3,8,1,5,4]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,2,8,3,7,1,5,4]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,3,7,2,6,1,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,1,8,3,7,2,6,4]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [4,1,8,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [3,1,8,4,7,2,6,5]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,8,4,7,3,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [2,1,7,4,8,3,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,1,7,4,8,2,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,1,7,3,8,2,6,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,7,3,8,2,6,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,8,2,6,1,5,4]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [8,2,6,3,7,1,5,4]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [7,2,6,3,8,1,5,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,4,2,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [5,3,6,2,8,1,4,7]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([],1)=>0 [5,3,6,2,4,8,1,7]=>([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,7,3,8,2,4,1,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,1)],2)=>1 [5,7,3,8,2,4,6,1]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [7,4,2,5,8,3,6,1]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,2,5,8,3,1,6]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,5,2,6,3,8,1,7]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,5,2,1,6,8,3,7]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [5,3,1,6,8,2,4,7]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [5,6,2,8,1,3,4,7]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8)=>([(0,1)],2)=>1 [3,5,6,1,4,8,2,7]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [4,1,5,6,3,8,2,7]=>([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [4,5,1,6,3,8,2,7]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,5,6,3,2,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,5,3,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,4,5,3,8,2,6,1]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,7,4,8,3,2,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,1)],2)=>1 [6,7,4,8,3,2,1,5]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,1)],2)=>1 [6,7,4,1,8,3,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [7,4,5,3,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,1,5,8,3,2,6]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8)=>([],1)=>0 [5,3,7,8,1,4,2,6]=>([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,5,8,2,4,6,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [7,3,5,8,1,4,6,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [4,5,1,7,8,3,6,2]=>([(0,5),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [7,4,1,5,8,3,6,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,7,4,3,8,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,8,3,1,5,2]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,8,3,5,2,1]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)=>([(0,1)],2)=>1 [5,6,7,3,8,4,2,1]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,1,7,3,8,4,2]=>([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7),(6,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,1,6,7,3,8,4,2]=>([(0,7),(1,3),(1,5),(1,7),(4,6),(5,2),(5,6),(7,4)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [6,4,7,1,8,3,5,2]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)=>([],1)=>0 [6,7,2,8,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8)=>([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>4 [6,1,7,4,8,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,7),(4,5),(4,7),(6,5)],8)=>([(0,1)],2)=>1 [5,1,6,7,3,2,8,4]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8)=>([(0,2),(2,1)],3)=>2 [5,6,1,7,3,2,8,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,3,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,7,3,2,8,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,2,7,3,8,4,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [5,6,2,7,3,1,8,4]=>([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,2,1,7,3,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [6,1,7,4,2,8,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,2,1,8,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)=>([(0,1)],2)=>1 [7,5,8,2,1,3,4,6]=>([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8)=>([],1)=>0 [5,7,3,1,8,2,4,6]=>([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,7,1,5,2,8,3,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [7,4,2,5,1,8,3,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [6,7,4,2,1,8,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [6,7,4,2,8,3,1,5]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,4,2,8,3,5,1]=>([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,2,8,4,5,1]=>([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [3,6,7,2,8,4,1,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,6,7,2,1,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)=>([(0,2),(2,1)],3)=>2 [5,7,3,8,2,1,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8)=>([(0,1)],2)=>1 [3,4,7,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,8,1,4,6,2,5]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,4,7,8,2,6,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [5,7,3,8,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [3,6,7,2,8,5,1,4]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [3,6,7,8,5,2,1,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [3,6,7,8,5,2,4,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,4,7,8,2,5,3,1]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,4,7,8,2,1,5,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(6,4)],8)=>([],1)=>0 [4,1,5,7,8,2,6,3]=>([(0,7),(1,5),(1,7),(4,3),(5,2),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [5,3,7,8,1,6,2,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [6,4,1,7,8,2,5,3]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [5,1,6,2,7,8,4,3]=>([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,2,1,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [5,6,2,7,1,8,4,3]=>([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [5,6,2,7,8,4,3,1]=>([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,2,8,4,3,1]=>([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,2,1,8,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [5,6,1,7,2,8,4,3]=>([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,6,7,2,8,4,3]=>([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,7,1,8,2,5,3]=>([(0,5),(1,5),(1,7),(2,3),(2,6),(3,4),(3,7),(5,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [3,6,7,1,8,5,2,4]=>([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,7,8,5,2,4,1,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [6,7,8,3,5,1,4,2]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [4,6,7,8,1,5,3,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [5,1,6,7,8,4,3,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,1,7,8,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,7,1,8,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,6,1,3,4,2,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,3,2,5,1,6,4,7]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)=>([],1)=>0 [8,5,3,6,2,4,1,7]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [5,3,2,7,4,1,8,6]=>([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [7,5,3,8,2,4,6,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)=>([],1)=>0 [7,2,4,5,8,3,6,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,4,5,3,7,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,1)],2)=>1 [8,2,4,5,6,3,1,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,2,4,5,6,1,3,7]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [8,1,2,4,5,6,3,7]=>([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [8,2,5,1,3,6,4,7]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,5,6,2,1,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,3,6,4,1,2,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,4,1,5,6,3,2,7]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,1,4,5,6,3,2,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [4,5,3,7,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [7,4,5,8,3,2,6,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,3,6,7,2,8,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [4,3,6,7,2,8,1,5]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [1,4,3,6,7,2,8,5]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)=>([],1)=>0 [4,5,3,7,1,8,2,6]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,1,5,3,7,2,8,6]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [5,3,4,7,1,2,8,6]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,8,2,1,4,6,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8)=>([(0,1)],2)=>1 [7,5,3,8,4,1,6,2]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,4,5,8,3,6,1,2]=>([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,6,7,8,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,6,4,7,8,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)=>([],1)=>0 [6,4,7,8,3,5,2,1]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [3,5,6,7,8,4,1,2]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,1,5,6,7,8,4,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,1,7,8,3,5,2]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,6,7,1,4,8,5,2]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,2,4,1,7,8,5,3]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,6,7,1,4,8,3,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,3,6,7,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,7),(4,5),(6,4)],8)=>([(0,1)],2)=>1 [1,5,3,6,7,8,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,7),(4,6),(4,7),(5,1),(7,5)],8)=>([],1)=>0 [3,5,6,7,8,2,1,4]=>([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,5,6,7,8,2,4,1]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [5,2,7,1,3,8,4,6]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(3,5),(6,3),(6,4),(7,4)],8)=>([],1)=>0 [5,3,1,7,8,2,4,6]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8)=>([(0,1)],2)=>1 [4,5,2,7,8,1,3,6]=>([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8)=>([(0,1)],2)=>1 [4,2,6,7,8,3,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,6,7,8,3,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [3,6,2,7,4,8,5,1]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [3,6,2,7,4,8,1,5]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,6,4,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [3,7,4,2,1,5,8,6]=>([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [1,7,3,4,2,5,8,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [4,7,2,1,3,5,8,6]=>([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [7,8,4,2,1,3,6,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,8,1,3,4,2,6,5]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,8,3,4,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,2,7,1,8,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([],1)=>0 [3,6,2,7,1,8,5,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,7,3,8,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,4,7,8,5,2,3,1]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,6,4,7,8,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,6,2,7,8,1,5,3]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,4,5,8,6,2,1,3]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,1,5,8,6,2,3]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [7,5,3,8,6,1,2,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8)=>([(0,1)],2)=>1 [7,5,8,2,1,6,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8)=>([],1)=>0 [6,2,7,1,3,8,5,4]=>([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,7,8,2,5,4]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,6,1,7,8,5,2,3]=>([(0,4),(0,6),(1,5),(1,6),(1,7),(4,7),(5,3),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,1,2,6,7,8,4,3]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,6,7,8,4,1,3]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [5,2,6,7,8,4,3,1]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,6,7,8,4,1,3]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [1,5,2,6,7,8,4,3]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,4,7,8,5,2,3]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,6,7,1,3,8,5,4]=>([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,7,8,2,1,5,4,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)=>([(0,2),(2,1)],3)=>2 [6,7,3,8,5,1,4,2]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,7,8,5,3,1,2]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,5,2,3,7,6,1,8]=>([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,4,3,7,2,5,1,8]=>([(0,7),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [8,4,3,6,5,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,5,6,3,4,8,7,2]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,2,7,3,5,1,8]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [3,2,6,7,4,5,1,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,7,2,6,5,3,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [5,7,6,2,4,3,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [1,7,5,4,8,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,5,4,1,3,2,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [6,8,5,4,2,1,3,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [5,8,6,2,4,1,3,7]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,8,2,6,5,1,3,7]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,2,8,6,5,1,4,7]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [4,1,2,6,5,8,7,3]=>([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [5,1,6,2,4,8,7,3]=>([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,1,5,4,2,8,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,1,5,4,8,2,6,3]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)=>([(0,1)],2)=>1 [8,1,5,4,7,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,1,6,7,4,5,2,3]=>([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [7,1,6,8,4,2,5,3]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [6,1,7,8,2,4,5,3]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,1,7,2,8,4,6,3]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,1,2,7,8,5,6,3]=>([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,2,1,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,8,7,1,5,4,6]=>([(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(6,5),(7,5)],8)=>([],1)=>0 [4,8,2,7,1,5,3,6]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)=>([],1)=>0 [5,8,7,2,1,4,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,8,7,1,2,4,3,5]=>([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8)=>([],1)=>0 [7,8,6,1,4,2,3,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,6,1,4,3,2,5]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [1,7,6,8,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [1,6,7,8,3,4,5,2]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)=>([(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)=>4 [8,6,7,1,3,4,2,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,8,1,3,2,4,5]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8)=>([],1)=>0 [5,7,8,2,1,3,4,6]=>([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,7,2,8,1,3,5,6]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)=>([(0,1)],2)=>1 [3,2,6,8,4,1,5,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [4,6,2,8,3,1,5,7]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,6,8,2,3,1,4,7]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,8,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([],1)=>0 [7,5,8,3,1,2,4,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [8,5,7,3,1,4,2,6]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,5,7,3,8,4,6,2]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [1,4,3,7,8,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,4,3,7,1,5,2,6]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,4,3,8,2,1,5,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)=>([],1)=>0 [4,5,2,3,8,1,6,7]=>([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,2,5,4,8,1,6,7]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [4,5,2,3,1,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,4,3,1,2,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,4,3,1,8,2,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [8,4,3,1,7,6,2,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,8,3,7,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)=>([],1)=>0 [8,5,1,3,7,6,2,4]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,1,3,8,2,6,4]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [6,5,1,3,2,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,6,1,2,3,8,7,4]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8)=>([],1)=>0 [4,6,2,1,3,8,7,5]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [3,2,6,1,4,8,7,5]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [3,2,7,1,8,4,6,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [4,7,2,1,8,3,6,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,1,2,8,3,6,4]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,1)],2)=>1 [6,7,1,8,2,3,5,4]=>([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [7,6,1,8,3,2,5,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [8,6,1,7,3,5,2,4]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,8,7,3,5,4,2]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)=>([],1)=>0 [1,7,8,6,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,1,6,5,3,2,4]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [7,8,1,6,5,2,3,4]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,8,1,7,2,5,3,4]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [5,8,1,2,7,6,3,4]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,8,2,1,7,6,3,5]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8)=>([(0,1)],2)=>1 [3,2,8,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [4,1,2,8,7,6,5,3]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,1,8,2,7,6,4,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8)=>([],1)=>0 [6,1,8,7,2,5,4,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3),(5,4)],8)=>([],1)=>0 [7,1,8,6,5,2,4,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)=>([(0,1)],2)=>1 [8,1,7,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [3,1,2,6,5,8,7,4]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [3,1,6,2,4,8,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [3,1,5,2,4,8,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [4,5,1,2,3,8,7,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)=>([],1)=>0 [4,6,1,2,3,8,7,5]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)=>([],1)=>0 [1,6,5,3,4,8,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [6,1,5,2,4,8,7,3]=>([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)=>([],1)=>0 [6,5,1,2,3,8,7,4]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,4,1,2,3,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,1,2,3,8,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,1,2,7,3,6,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [6,4,1,7,2,3,5,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,4,1,8,2,3,5,7]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [7,4,1,2,8,3,6,5]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,5,1,2,8,3,6,4]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(5,6)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [7,1,5,2,8,4,6,3]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([],1)=>0 [1,7,5,3,8,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,1)],2)=>1 [1,8,5,3,7,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,5,2,7,4,6,3]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,5,1,2,7,3,6,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)=>([],1)=>0 [8,4,1,2,7,3,6,5]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([],1)=>0 [8,4,1,7,2,3,5,6]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [7,4,1,6,2,3,5,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,6,1,7,2,3,5,4]=>([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [8,1,6,7,2,4,5,3]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,6,7,3,4,5,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,7,6,8,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [7,1,6,8,2,4,5,3]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [7,6,1,8,2,3,5,4]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([],1)=>0 [4,7,1,2,8,3,6,5]=>([(0,4),(1,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,2),(4,5)],8)=>([(0,1)],2)=>1 [3,1,7,2,8,4,6,5]=>([(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(6,5),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [3,1,2,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,4,3,8,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,1)],2)=>1 [4,1,2,8,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [3,1,2,8,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,1)],2)=>1 [3,1,8,2,7,4,6,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)=>([],1)=>0 [3,1,8,7,2,4,5,6]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,7,6,2,4,5,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,7,1,6,2,3,5,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,8,1,6,2,3,5,7]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,8,1,7,2,3,5,6]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,8,1,2,7,3,6,5]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(2,6),(4,2),(4,7)],8)=>([],1)=>0 [5,8,1,2,7,3,6,4]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8)=>([],1)=>0 [5,1,8,2,7,4,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8)=>([(0,1)],2)=>1 [1,5,8,3,7,4,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,6,8,7,3,4,5,2]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [6,1,8,7,2,4,5,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8)=>([(0,1)],2)=>1 [6,8,1,7,2,3,5,4]=>([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8)=>([],1)=>0 [6,8,7,1,2,3,4,5]=>([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,8,7,1,2,3,4,6]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,8,6,1,2,3,4,7]=>([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,6,1,2,3,4,8]=>([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,1,6,2,3,5,4]=>([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [7,1,8,6,2,4,5,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,8,6,3,4,5,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,8,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,1,7,6,2,4,5,3]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)=>([(0,1)],2)=>1 [8,7,1,6,2,3,5,4]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [3,2,5,1,6,4,8,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([],1)=>0 [3,2,5,4,7,1,8,6]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [4,2,5,3,7,6,8,1]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,5,3,7,1,8,6]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,2,5,3,6,1,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,2,5,1,6,3,8,7]=>([(0,5),(1,6),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([],1)=>0 [3,1,5,4,6,2,8,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [4,1,5,3,6,2,8,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,3,5,1,6,2,8,7]=>([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,3,5,2,7,1,8,6]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)=>([],1)=>0 [4,3,6,2,7,5,8,1]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)=>([],1)=>0 [4,3,6,2,7,1,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([],1)=>0 [4,3,6,1,7,2,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,1)],2)=>1 [4,3,5,1,7,2,8,6]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [3,1,5,4,7,2,8,6]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([],1)=>0 [2,1,5,4,7,3,8,6]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)=>([],1)=>0 [3,1,5,4,7,6,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,1,5,3,7,6,8,2]=>([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,3,5,1,7,6,8,2]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,3,6,1,7,5,8,2]=>([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,6),(6,5),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,6,5,7,1,8,2]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,6,4,7,2,8,1]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,3,6,4,7,1,8,2]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,1,7,4,8,2]=>([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,5),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,1,6,3,7,4,8,2]=>([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,1,6,3,7,5,8,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,6,4,7,5,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,4,7,5,8,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,4,7,3,8,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,2),(6,3),(7,2),(7,4)],8)=>([],1)=>0 [3,1,6,4,7,2,8,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [4,1,6,3,7,2,8,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8)=>([(0,1)],2)=>1 [5,1,6,3,7,2,8,4]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,1)],2)=>1 [5,3,6,1,7,2,8,4]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,1)],2)=>1 [5,3,6,2,7,1,8,4]=>([(0,4),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([],1)=>0 [5,3,6,2,7,4,8,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [5,2,6,3,7,4,8,1]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,2,6,3,7,1,8,4]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,2,6,1,7,3,8,4]=>([(0,6),(1,5),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [4,2,5,1,7,3,8,6]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [4,2,6,1,7,3,8,5]=>([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [4,2,6,3,7,1,8,5]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [4,2,6,3,7,5,8,1]=>([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,2,6,4,7,5,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,6,4,7,1,8,5]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,1)],2)=>1 [3,2,6,1,7,4,8,5]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [3,2,5,1,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [3,2,4,1,7,5,8,6]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [3,1,4,2,7,6,8,5]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [3,2,5,1,7,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [3,2,6,1,7,5,8,4]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,2,6,5,7,1,8,4]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,7,3,8,1]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [4,2,6,5,7,1,8,3]=>([(0,6),(0,7),(1,3),(1,4),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,2,6,1,7,5,8,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,2),(2,1)],3)=>2 [4,2,5,1,7,6,8,3]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [4,1,5,2,7,6,8,3]=>([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [3,1,5,2,7,6,8,4]=>([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([],1)=>0 [2,1,5,3,7,6,8,4]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,6,3,7,5,8,4]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)=>([(0,1)],2)=>1 [3,1,6,2,7,5,8,4]=>([(0,2),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5)],8)=>([(0,1)],2)=>1 [4,1,6,2,7,5,8,3]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,1)],2)=>1 [5,1,6,2,7,4,8,3]=>([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [5,2,6,1,7,4,8,3]=>([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,2,6,4,7,1,8,3]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,6,4,7,3,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [5,4,6,2,7,3,8,1]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [5,4,6,2,7,1,8,3]=>([(0,5),(1,5),(2,4),(2,7),(3,4),(3,6),(5,6),(6,7)],8)=>([],1)=>0 [5,4,6,1,7,2,8,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,6,4,7,2,8,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,1,6,5,7,2,8,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [3,1,6,5,7,2,8,4]=>([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [2,1,6,5,7,3,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [3,1,6,5,7,4,8,2]=>([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,3)],8)=>([],1)=>0 [4,1,6,5,7,3,8,2]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [5,1,6,4,7,3,8,2]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [5,4,6,1,7,3,8,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [5,4,6,3,7,1,8,2]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [8,3,5,2,1,6,4,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [8,6,3,5,2,4,1,7]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,7,5,2,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,3,7,5,2,4,6,1]=>([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [8,2,4,5,7,3,6,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,5,7,3,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,2,4,6,5,3,1,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [8,2,5,4,6,1,3,7]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,1)],2)=>1 [8,6,3,5,1,4,2,7]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,6,1,4,5,3,2,7]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,1,5,6,4,3,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [5,7,4,3,2,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)=>([(0,1)],2)=>1 [8,5,7,4,3,2,6,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,6,8,3,2,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,6,3,2,8,1,5]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([],1)=>0 [1,4,6,7,3,2,8,5]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,4,7,3,1,8,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [1,7,4,5,3,2,8,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [3,7,5,1,4,2,8,6]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,7,4,2,1,3,8,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,5,7,4,2,1,6,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [8,3,7,5,1,4,6,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [8,4,1,7,5,3,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)=>([],1)=>0 [4,6,3,8,7,1,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)=>([],1)=>0 [1,7,4,8,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,4,7,6,3,5,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,6,5,8,7,4,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,1,5,8,6,7,4,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,1)],2)=>1 [4,8,1,6,7,3,5,2]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,4,1,8,7,5,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,2,6,1,4,7,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [2,7,6,8,1,4,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8)=>([],1)=>0 [3,7,1,6,4,8,2,5]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,7),(3,4),(5,7),(6,4),(6,7)],8)=>([],1)=>0 [1,7,3,5,6,8,2,4]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,3,6,7,5,8,2,4]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,6,5,8,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)=>([],1)=>0 [3,6,8,5,7,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,3,5,7,6,8,1,4]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8)=>([(0,1)],2)=>1 [2,1,6,5,7,8,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [4,2,7,6,8,3,1,5]=>([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [4,2,6,8,7,3,5,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [3,8,2,4,6,7,5,1]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [3,7,2,6,4,8,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,2,6,1,4,7,8,5]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)=>([],1)=>0 [5,3,7,2,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,6),(3,4),(3,5),(4,7),(6,5)],8)=>([],1)=>0 [4,7,3,2,1,5,8,6]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [8,7,6,1,3,4,2,5]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [8,5,7,3,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [8,3,6,7,2,1,5,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,7,8,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,6,3,5,2,4,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [2,7,4,8,1,6,5,3]=>([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8)=>([(0,1)],2)=>1 [4,6,8,2,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)=>([],1)=>0 [8,4,1,5,7,2,6,3]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)=>([],1)=>0 [8,5,3,7,1,6,2,4]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,7,2,1,3,6,4]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,2,6,7,1,3,5,4]=>([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,3,6,1,7,5,2,4]=>([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,1,8,7,2,5,3]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2),(4,7)],8)=>([],1)=>0 [8,1,2,5,6,7,4,3]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,2,6,5,7,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,1,7,8,5,6,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,2,5,7,6,4,3,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [2,7,6,8,5,4,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)=>([(0,1)],2)=>1 [1,7,2,5,8,6,4,3]=>([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [1,7,4,8,2,6,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(3,7),(4,1),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,7,8,1,6,5,2,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,8,6,1,3,5,4]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,7,6,3,5,1,4,2]=>([(3,6),(3,7),(4,5),(4,7)],8)=>([],1)=>0 [8,4,7,6,5,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [8,7,1,5,6,4,3,2]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [8,1,6,7,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [6,5,3,1,2,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,6,3,5,1,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,5,3,7,2,1,4,6]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([],1)=>0 [6,8,1,4,5,7,3,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [8,7,2,4,5,1,3,6]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,6,2,4,5,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,6,1,4,5,3,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [6,1,2,4,5,3,8,7]=>([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8)=>([(0,1)],2)=>1 [5,6,3,2,1,4,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [5,4,3,6,1,2,8,7]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(4,6),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [6,3,1,4,5,2,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,6,4,5,2,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [8,3,7,4,5,1,2,6]=>([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,8,7,4,2,6,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [2,8,7,4,1,6,3,5]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,7,4,2,6,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,8,4,5,1,2,6]=>([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [2,1,8,7,5,3,4,6]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,6,8,5,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,6,3,8,1,7,2,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [7,6,1,4,5,8,3,2]=>([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8)=>([(0,1)],2)=>1 [3,7,6,4,5,8,2,1]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,5,7,4,1,6,3,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,8,4,7,6,2,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8)=>([(0,1)],2)=>1 [2,5,8,4,7,6,1,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [2,4,8,3,5,6,7,1]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,1,8,3,5,6,7,2]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,8,4,2,5,6,7,1]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)=>([],1)=>0 [8,4,1,3,5,6,7,2]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)=>([],1)=>0 [7,5,8,4,3,6,1,2]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [6,5,3,8,4,1,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,5,8,4,6,7,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,4,8,3,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,4,3,8,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [7,3,8,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,1,2,5,6,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,8,2,5,6,7,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [2,3,8,1,5,6,7,4]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,3,8,2,5,6,7,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([],1)=>0 [4,8,2,3,5,6,7,1]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [3,8,2,1,5,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,8,1,3,5,6,7,4]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,1,2,3,5,6,7,4]=>([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [7,8,2,4,3,6,1,5]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,8,3,2,4,1,7,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,1,8,3,4,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8)=>([(0,1)],2)=>1 [2,1,7,8,5,4,3,6]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [5,7,3,8,1,4,2,6]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,1,8,4,5,3,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,8,4,5,3,1,6]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,1,4,3,6,2,5]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,8,7,4,2,6,1,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)=>([],1)=>0 [5,7,8,4,3,6,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,6,3,8,4,2,7,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,8,3,6,2,1,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,6,3,1,4,2,7,5]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,3,8,2,4,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)=>([],1)=>0 [2,4,3,1,8,5,7,6]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [4,1,3,2,6,8,7,5]=>([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [7,5,3,6,2,8,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,5),(4,5),(4,6),(5,7)],8)=>([],1)=>0 [8,6,3,5,1,2,7,4]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [5,8,3,2,6,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,7),(7,5)],8)=>([(0,1)],2)=>1 [4,5,3,8,6,2,7,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,5,8,4,7,6,2,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,8,2,4,7,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,7,5,4,1,6,2,3]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [2,7,6,4,5,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,6,4,5,8,2,3]=>([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,3,6,1,8,2,4]=>([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [2,1,7,6,5,8,3,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [2,1,8,5,3,6,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,8,3,5,2,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,5,4,2,6,1,3]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [8,1,4,2,5,6,7,3]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,8,4,1,5,6,7,3]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,8,1,2,5,6,7,3]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,4,8,1,5,6,7,2]=>([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,4,2,8,5,6,7,1]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,8,5,6,7,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [4,1,2,8,5,6,7,3]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,4,2,1,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([],1)=>0 [7,5,2,4,8,6,1,3]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [6,5,3,2,8,1,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [2,1,5,3,8,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,4,3,5,8,1,7,2]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,3,5,4,8,6,1,2]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,3,4,1,5,6,7,2]=>([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8)=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>5 [4,3,1,8,5,6,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,4,8,5,6,7,2]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,5,3,7,2,8,4,1]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([],1)=>0 [6,3,7,4,5,8,2,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [6,7,2,4,5,8,3,1]=>([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,1,7,4,8,6,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,7,4,8,6,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,3,7,1,8,4,2]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [3,8,7,4,5,2,1,6]=>([(0,7),(1,7),(2,3),(2,4),(2,6),(5,7),(6,5)],8)=>([(0,1)],2)=>1 [3,7,5,4,8,6,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,7,1,4,8,6,2,3]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,6,3,1,8,2,7,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,6,3,5,8,2,7,1]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,6,3,8,1,2,7,5]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,7,8,4,1,6,2,5]=>([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,2,5,1,6,8,4,7]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)=>([],1)=>0 [3,6,2,5,4,8,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [3,5,2,4,7,1,8,6]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [3,5,8,2,4,7,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)=>([],1)=>0 [4,2,5,8,3,7,6,1]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([],1)=>0 [4,2,6,5,3,8,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,4,2,1,6,8,3,7]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [6,3,5,1,4,8,2,7]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,6,1,5,3,8,2,7]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,1,6,4,3,8,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [5,4,3,2,7,1,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([],1)=>0 [5,4,3,8,2,7,6,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [4,3,6,2,8,7,5,1]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [4,3,7,6,2,1,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [6,4,3,1,7,2,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(7,5)],8)=>([(0,1)],2)=>1 [7,5,4,3,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [1,4,7,5,8,3,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)=>([],1)=>0 [7,1,3,5,8,4,2,6]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)=>([],1)=>0 [7,2,5,8,4,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,8,5,7,4,6,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,5,8,7,1,4,6,2]=>([(0,4),(0,7),(1,5),(1,7),(5,2),(5,3),(5,6),(7,6)],8)=>([(0,1)],2)=>1 [1,4,5,8,7,3,6,2]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)=>([(0,1)],2)=>1 [1,5,4,8,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,3,8,1,7,5,2]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [4,3,7,1,8,6,5,2]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(4,5)],8)=>([(0,1)],2)=>1 [4,8,3,7,6,5,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [5,3,8,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [7,5,3,1,8,6,4,2]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,8,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,1)],2)=>1 [1,5,8,6,3,7,4,2]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [4,6,1,8,7,3,5,2]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [6,8,7,3,1,4,5,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,8,7,4,5,1,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,2,8,4,1,3,5]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [7,3,1,6,8,4,2,5]=>([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8)=>([],1)=>0 [1,7,6,4,8,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [5,7,1,6,3,2,8,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8)=>([],1)=>0 [6,1,7,5,3,2,8,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [7,6,5,3,2,1,8,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,5,3,2,8,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,2,6,3,8,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)=>([],1)=>0 [5,2,7,6,3,1,8,4]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,7)],8)=>([],1)=>0 [6,5,2,1,7,3,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([],1)=>0 [5,2,7,4,1,8,3,6]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [4,7,2,6,3,1,8,5]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [2,4,8,6,3,7,5,1]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,8,6,2,4,7,5,1]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,6,2,4,1,8,5]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,6,7,2,1,4,8,5]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,3,7,8,2,1,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([],1)=>0 [8,3,7,1,4,6,2,5]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,8,2,5,7,1,6,4]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)=>([],1)=>0 [8,3,6,2,7,1,5,4]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,3,6,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,7,3,6,2,5,4,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [4,7,8,2,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)=>([(0,1)],2)=>1 [4,2,6,8,1,7,5,3]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)=>([],1)=>0 [5,4,8,2,7,1,6,3]=>([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([(0,1)],2)=>1 [4,8,1,5,7,2,6,3]=>([(0,4),(0,7),(1,5),(1,7),(5,3),(5,6),(7,2),(7,6)],8)=>([],1)=>0 [5,8,3,7,1,6,2,4]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(4,6)],8)=>([(0,1)],2)=>1 [5,8,7,2,6,1,3,4]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,6,2,7,5,1,3,4]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [3,6,8,1,7,5,2,4]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8)=>([(0,1)],2)=>1 [5,1,6,8,2,7,4,3]=>([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8)=>([],1)=>0 [6,5,2,8,1,7,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [5,2,7,1,8,6,4,3]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)=>([(0,1)],2)=>1 [5,8,2,7,6,4,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([],1)=>0 [6,2,8,7,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([],1)=>0 [7,6,2,1,8,5,4,3]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [6,1,7,2,8,5,4,3]=>([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [7,5,1,8,2,6,4,3]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)=>([(0,2),(2,1)],3)=>2 [4,7,1,8,6,2,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,7),(3,5),(4,2),(4,6)],8)=>([(0,1)],2)=>1 [7,8,3,1,6,5,2,4]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,4,6,1,5,3,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [8,5,7,1,6,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([],1)=>0 [6,8,1,7,5,4,3,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)=>([],1)=>0 [7,1,8,6,5,4,3,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,1)],2)=>1 [5,4,2,3,7,6,1,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [6,4,2,7,3,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [7,4,2,6,3,5,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,2,6,3,1,5,7]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [3,2,7,6,4,5,1,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [4,7,2,6,3,5,1,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [5,7,6,2,3,4,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [1,6,5,2,3,8,4,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8)=>([(0,2),(2,1)],3)=>2 [1,7,5,2,8,3,4,6]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,8,5,2,3,1,4,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,8,6,2,3,1,4,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [4,8,2,6,3,1,5,7]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [3,2,8,6,4,1,5,7]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([],1)=>0 [3,2,1,6,4,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [7,1,5,2,8,3,4,6]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [1,8,5,2,7,3,4,6]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,8,6,7,2,3,4,5]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,1,6,7,2,3,4,5]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,1,6,8,2,3,4,5]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,7,8,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)=>([],1)=>0 [3,2,8,7,1,4,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,8,7,2,1,3,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([],1)=>0 [1,7,6,8,2,3,4,5]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,8,2,3,1,4,7]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8)=>([(0,1)],2)=>1 [8,5,7,2,1,3,4,6]=>([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)=>([(0,1)],2)=>1 [6,4,2,8,3,1,5,7]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [5,4,2,3,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [3,2,5,4,1,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [4,5,2,3,1,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,2,3,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [6,4,2,1,3,8,5,7]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)=>([],1)=>0 [7,4,2,1,8,3,5,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([],1)=>0 [8,4,2,1,7,3,5,6]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([],1)=>0 [1,4,2,8,7,3,5,6]=>([(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(7,1)],8)=>([(0,2),(2,1)],3)=>2 [1,5,8,2,7,3,4,6]=>([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,5,1,2,7,3,4,6]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [7,5,1,2,8,3,4,6]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,1,2,3,8,4,7]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,1,3,8,5,7]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [3,2,6,1,4,8,5,7]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)=>([],1)=>0 [3,2,7,1,8,4,5,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(7,3)],8)=>([],1)=>0 [4,7,2,1,8,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)=>([(0,1)],2)=>1 [7,6,1,8,2,3,4,5]=>([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,6,1,7,2,3,4,5]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [1,6,8,7,2,3,4,5]=>([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,8,6,2,3,4,5]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,8,1,6,2,3,4,5]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,8,1,7,2,3,4,5]=>([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,8,2,1,7,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,2,8,1,7,4,5,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,8,7,4,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,8,2,7,3,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5)],8)=>([(0,2),(2,1)],3)=>2 [6,1,8,7,2,3,4,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(5,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,7,6,2,3,4,5]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,7,6,2,3,4,5]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,5,1,2,4,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,3,5,6,1,2,8,7]=>([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,1)],2)=>1 [8,3,7,5,2,1,4,6]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)=>([],1)=>0 [6,3,7,5,1,8,4,2]=>([(0,6),(1,3),(1,5),(1,7),(2,4),(2,5),(2,6),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [6,5,2,7,1,8,3,4]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>([],1)=>0 [8,5,2,7,4,1,3,6]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,6,1,5,4,3,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,4,3,5,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [5,3,1,4,6,2,8,7]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,1,4,6,5,2,8,7]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)=>([],1)=>0 [5,7,4,6,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,1,4,7,2,6,3,5]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,4,7,8,5,2,1,6]=>([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [2,1,8,5,7,3,4,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [8,6,3,5,1,7,4,2]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)=>([],1)=>0 [5,8,2,4,6,7,3,1]=>([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,8,6,5,7,1,2]=>([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [7,5,4,8,1,6,3,2]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [5,1,4,6,8,2,7,3]=>([(0,7),(1,4),(1,5),(4,7),(5,3),(5,6),(7,2),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,5,4,6,7,1,8,3]=>([(0,5),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(7,4)],8)=>([(0,1)],2)=>1 [2,4,6,3,7,5,8,1]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,6,3,8,5,7,2]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,7,4,2,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,1,3,5,8,6,2]=>([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)=>([],1)=>0 [6,5,8,4,1,7,3,2]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [8,5,3,7,4,1,6,2]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [2,1,4,8,3,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [7,4,3,8,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [6,3,7,4,1,8,2,5]=>([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,3,1,2,5,7,6,4]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [3,1,8,2,7,6,5,4]=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)=>([],1)=>0 [2,3,8,1,6,7,5,4]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [4,3,7,2,6,8,5,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([(0,1)],2)=>1 [4,7,2,3,8,5,6,1]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [3,8,2,1,7,5,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [2,8,1,3,6,5,7,4]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,7,8,5,4,3,1,6]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [8,7,1,6,3,4,2,5]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [3,8,6,7,2,4,1,5]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,8,7,4,2,6,1]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([],1)=>0 [4,3,8,7,2,1,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,6,1,4,2,7,5]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,3,5,8,2,4,1,6]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [2,3,4,1,8,5,7,6]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([],1)=>0 [4,1,3,2,6,7,8,5]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([],1)=>0 [8,3,5,6,2,7,1,4]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,3,6,1,8,7,2,4]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,2,8,7,4,1,3]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,8,5,6,1,4,2,3]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [2,8,6,5,4,7,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [8,1,6,4,5,7,2,3]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,8,3,6,1,7,2,4]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>5 [2,1,8,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,1)],2)=>1 [2,1,7,5,3,6,8,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [6,7,3,5,2,1,8,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,4,2,5,6,8,3]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,7,4,1,6,5,8,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>([],1)=>0 [4,6,1,2,8,7,3,5]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [2,4,1,5,8,7,6,3]=>([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [4,1,2,5,8,6,7,3]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [6,4,2,1,5,8,7,3]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8)=>([],1)=>0 [8,5,2,4,6,1,7,3]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [7,5,3,2,6,8,1,4]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)=>([],1)=>0 [2,1,5,3,6,8,7,4]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [7,3,5,4,6,1,8,2]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [6,3,4,1,5,7,8,2]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,3,1,5,7,6,8,2]=>([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,1,4,5,6,8,7,2]=>([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)=>([],1)=>0 [4,5,2,6,3,1,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,5,2,1,4,3,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,5,2,7,4,8,3,1]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)=>([],1)=>0 [8,5,2,7,4,1,6,3]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,3,7,5,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)=>([],1)=>0 [6,3,7,5,2,8,4,1]=>([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,1,6,5,4,2,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,6,3,2,4,1,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,6,2,4,1,5,8,7]=>([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,6,1,3,5,4,8,7]=>([(0,5),(1,2),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)=>([],1)=>0 [6,7,2,3,4,8,5,1]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [8,7,2,3,4,1,6,5]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,1,7,3,8,4,6,2]=>([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [2,5,7,3,8,6,4,1]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,6,1,3,5,8,4,2]=>([(0,7),(1,7),(2,4),(2,6),(5,7),(6,3),(6,5)],8)=>([],1)=>0 [3,6,7,4,1,8,5,2]=>([(0,4),(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [2,1,6,7,4,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,1,8,7,4,3,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [5,8,3,7,4,2,6,1]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)=>([],1)=>0 [3,8,7,4,1,2,6,5]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,8,1,3,5,2,6,4]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,8,7,3,2,6,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [2,8,6,3,1,5,7,4]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [8,1,6,3,2,5,4,7]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [2,8,4,1,6,3,7,5]=>([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,8,1,2,7,6,3,5]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,8,4,2,5,7,1,6]=>([(0,7),(1,6),(2,3),(2,4),(4,7),(7,5),(7,6)],8)=>([],1)=>0 [6,8,3,5,2,7,4,1]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [2,1,5,3,8,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [6,5,3,2,8,7,1,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [7,5,2,4,8,1,6,3]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [3,4,2,8,5,7,6,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [2,4,1,8,7,6,5,3]=>([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6)],8)=>([],1)=>0 [8,4,2,1,7,5,3,6]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([(0,1)],2)=>1 [4,3,1,8,6,7,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [3,1,4,8,6,5,7,2]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [7,1,6,5,4,8,2,3]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [3,7,5,6,8,4,2,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [5,7,1,6,8,2,4,3]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8)=>([],1)=>0 [8,6,2,5,1,7,4,3]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([],1)=>0 [5,6,2,1,8,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,5,8,3,7,1]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,5,2,6,3,8,1,4]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,1,2,3,6,8,7,5]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([],1)=>0 [2,4,3,1,8,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([],1)=>0 [7,5,2,8,3,4,6,1]=>([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [5,6,2,8,4,3,1,7]=>([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,7,2,8,1,5,3,6]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,2,1,4,5,6,3]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,8,7,1,5,4,2]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(5,2),(5,3)],8)=>([],1)=>0 [5,7,8,6,3,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [7,1,8,5,4,3,6,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,7,8,4,5,3,6,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,3,8,1,4,6,2]=>([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8)=>([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>5 [2,1,7,8,5,4,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,1)],2)=>1 [2,1,5,8,4,6,3,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [6,5,3,8,4,1,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,8,4,3,6,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [2,4,8,3,5,6,1,7]=>([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,8,3,6,5,2,7]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>([],1)=>0 [3,4,8,1,7,2,5,6]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [8,4,1,3,7,2,6,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,1,8,2,4,7,6,5]=>([(0,6),(0,7),(1,5),(1,6),(5,7),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [2,3,8,1,4,6,7,5]=>([(0,7),(1,5),(5,3),(5,7),(6,2),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [4,3,8,2,5,1,7,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(7,5),(7,6)],8)=>([],1)=>0 [6,3,8,4,2,5,7,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [7,4,3,8,2,5,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(7,5)],8)=>([],1)=>0 [2,1,4,8,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(5,7),(6,4),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [6,8,2,4,3,5,1,7]=>([(0,7),(1,3),(1,7),(2,4),(2,5),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [4,8,2,3,5,1,6,7]=>([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [3,8,2,1,4,6,5,7]=>([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,8,1,3,4,5,7,6]=>([(0,7),(1,4),(1,7),(5,6),(6,2),(6,3),(7,5)],8)=>([],1)=>0 [3,5,7,2,4,6,8,1]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,1,6,8,7,3,4,2]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,5,2,8,3,7,4,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,1,2,3,8,5,7,6]=>([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8)=>([],1)=>0 [2,1,7,5,6,8,4,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,1)],2)=>1 [4,5,6,7,2,8,1,3]=>([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,8,7,5,2,4,3]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)=>([],1)=>0 [6,4,2,7,1,3,8,5]=>([(0,4),(1,7),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([],1)=>0 [7,4,2,5,1,3,8,6]=>([(0,7),(1,5),(2,4),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,5,3,6,1,7,2,4]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [7,3,6,2,4,8,1,5]=>([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,3,7,1,2,5,8,6]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [3,6,2,7,1,4,8,5]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [5,3,6,7,1,2,8,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(3,7),(4,7),(5,4)],8)=>([(0,1)],2)=>1 [6,3,7,4,1,2,8,5]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,1,5,2,3,8,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(2,7),(3,7),(4,2),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [3,7,5,1,2,4,8,6]=>([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,6,4,2,3,8,1,5]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,6,4,2,3,7,1,5]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,7,6,3,8,1,2,5]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [5,7,4,2,3,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,6,1,4,8,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,7),(3,7),(4,5),(6,5),(6,7)],8)=>([],1)=>0 [6,4,7,5,2,8,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,4,8,5,2,6,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [5,8,2,6,3,7,1,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [3,8,6,2,4,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,8,6,2,7,1,3,5]=>([(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(4,7),(5,6)],8)=>([],1)=>0 [2,6,5,8,1,3,4,7]=>([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8)=>([(0,2),(2,1)],3)=>2 [2,5,7,4,8,1,3,6]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,6,7,2,8,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,7),(4,7),(6,4)],8)=>([],1)=>0 [3,5,7,1,4,8,2,6]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(3,7),(4,2),(4,7),(6,5),(6,7)],8)=>([(0,1)],2)=>1 [5,3,7,2,4,8,1,6]=>([(0,7),(1,5),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [5,4,7,3,8,1,2,6]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [7,4,6,3,8,1,2,5]=>([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,4,6,3,7,1,2,5]=>([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,4,1,6,7,2,3,5]=>([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8)=>([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>5 [7,4,1,6,8,2,3,5]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,5,3,7,1,8,2,4]=>([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(7,5)],8)=>([(0,1)],2)=>1 [6,5,1,2,7,8,3,4]=>([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,6,4,7,8,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,7,1,5,8,6,2,3]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,1,2,8,6,3,4]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [7,6,1,8,5,2,3,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,6,1,7,5,2,3,4]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,2,8,1,6,3,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [3,6,8,2,7,1,4,5]=>([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [2,4,8,7,1,3,5,6]=>([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,8,7,1,2,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [5,3,8,7,1,2,4,6]=>([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [8,3,7,6,1,2,4,5]=>([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,7,6,1,2,3,5]=>([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,8,7,1,2,4,6]=>([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,8,7,1,3,4,6]=>([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,8,4,7,5,1,2,3]=>([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [5,8,7,1,6,2,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [2,8,7,6,1,3,4,5]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,7,6,1,2,4,5]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,8,7,6,1,2,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,3,1,4,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,5,3,8,2,1,6,4]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [3,8,7,4,5,1,6,2]=>([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,1,7,8,5,3,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,7,3,8,1,2,6,4]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8)=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>4 [8,7,1,4,5,3,2,6]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [2,7,8,4,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2)],8)=>([(0,1)],2)=>1 [7,1,8,4,2,6,5,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [7,5,1,4,8,6,3,2]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(5,6),(5,7)],8)=>([],1)=>0 [6,5,3,1,8,4,7,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,6,3,1,2,5,7,4]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,7,1,4,2,6,5,3]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [2,3,4,5,6,7,8,1,9]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [2,3,4,5,6,7,8,9,1,10]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>7 [3,6,4,5,7,2,8,1]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [5,3,2,7,4,6,8,1]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)=>([],1)=>0 [7,5,3,6,2,4,8,1]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [6,3,2,5,1,8,4,7]=>([(0,5),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [8,5,3,6,2,7,1,4]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)=>([],1)=>0 [8,2,6,3,4,7,1,5]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,2,6,3,4,5,8,1]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [6,2,7,3,4,5,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [4,2,5,7,3,6,8,1]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,4,7,6,2,3,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,7,3,5,2,4,8,1]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,7,6,2,4,5,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [2,7,6,3,4,5,8,1]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [6,5,3,1,2,8,4,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [8,6,5,2,3,7,1,4]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,5,2,1,7,3,4,6]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [7,5,2,1,8,3,4,6]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [1,6,3,2,8,4,5,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,1)],8)=>([],1)=>0 [5,6,2,3,1,8,4,7]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,4,8,6,2,7,1,3]=>([(0,4),(1,4),(1,7),(2,5),(2,6),(3,5),(3,6),(6,7)],8)=>([(0,1)],2)=>1 [6,8,3,5,2,7,1,4]=>([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,8,5,2,3,6,1,4]=>([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,8,2,1,7,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,8,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)=>([],1)=>0 [1,8,2,7,3,4,5,6]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,8,1,7,3,4,5,6]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,6,1,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [4,8,1,5,7,2,3,6]=>([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,2,8,3,7,1,5,6]=>([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [8,1,2,7,3,4,5,6]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,6,2,7,1,8,4,5]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,6),(6,5),(7,4)],8)=>([(0,1)],2)=>1 [6,3,7,1,2,8,4,5]=>([(0,5),(1,5),(1,7),(2,4),(4,6),(4,7),(5,6),(7,3)],8)=>([(0,1)],2)=>1 [7,2,6,1,8,3,4,5]=>([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,1,5,8,2,4,6]=>([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,5,8,4,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [5,4,1,3,6,8,2,7]=>([(0,7),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [1,5,3,4,6,8,2,7]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [4,3,5,1,6,8,2,7]=>([(0,5),(1,5),(2,4),(2,6),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [5,4,6,3,8,7,1,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,6,4,5,8,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,3,4,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,2,8,7,1,4,6]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(7,4)],8)=>([],1)=>0 [5,3,1,8,7,2,4,6]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,5,3,7,6,1,2,4]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,1,8,3,7,2,4,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [6,3,8,1,7,2,4,5]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,6,8,2,3,5,1,4]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,8,2,4,6,1,5]=>([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [6,7,3,8,2,5,1,4]=>([(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(4,6)],8)=>([(0,1)],2)=>1 [5,4,7,8,2,6,1,3]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(3,7),(6,4)],8)=>([],1)=>0 [4,2,5,8,7,1,3,6]=>([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,8,7,1,4,5,6]=>([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,8,6,1,3,4,5]=>([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [2,1,8,7,3,4,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,2,7,6,1,3,4,5]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,2,8,7,3,4,5,6]=>([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,3,8,7,2,4,5,6]=>([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,8,3,6,2,4,5]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,1,5,8,7,2,3,6]=>([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,4,8,7,6,1,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)=>([(0,2),(2,1)],3)=>2 [6,8,3,7,5,1,2,4]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,8,6,2,5,1,3,4]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,1,6,7,3,2,5,4]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,3,1,2,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [5,6,2,1,3,4,8,7]=>([(0,5),(1,5),(2,3),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,1)],2)=>1 [5,3,7,8,2,1,4,6]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>([],1)=>0 [7,6,1,2,5,8,3,4]=>([(0,7),(1,7),(2,6),(4,7),(5,3),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [2,1,7,8,4,3,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(5,3),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [7,8,1,2,5,4,6,3]=>([(0,5),(1,6),(3,7),(4,7),(6,2),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [8,4,1,3,7,6,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [6,5,2,1,8,7,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [4,7,2,8,1,3,6,5]=>([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,3,8,6,1,2,5,4]=>([(0,5),(1,4),(2,3),(2,5),(2,6),(2,7),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,4,7,1,8,2,6,5]=>([(0,3),(0,7),(1,4),(2,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [1,8,2,7,3,6,4,5]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [4,6,3,7,2,5,1,8]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [4,6,3,7,5,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,7,5,3,1,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [5,6,7,2,4,3,1,8]=>([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [4,5,3,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [4,5,3,2,8,1,6,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [7,2,1,4,3,6,5,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [7,3,4,1,2,6,5,8]=>([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,4,3,2,1,6,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)=>([],1)=>0 [7,6,3,2,5,4,1,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,7,3,2,5,4,8,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,3,2,5,4,7,6]=>([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,8,4,5,2,3,7,6]=>([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,3,5,1,6,2,4,8]=>([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [7,2,1,5,6,3,4,8]=>([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [7,2,1,6,5,4,3,8]=>([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [7,3,6,1,5,4,2,8]=>([(0,7),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [7,4,6,5,1,3,2,8]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [1,8,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [1,8,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,5,7,4,3,1,8,2]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [6,4,7,5,1,3,8,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,3,7,1,5,4,8,2]=>([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,2,1,7,5,4,8,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,2,1,8,5,4,7,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,3,8,1,5,4,7,6]=>([(0,3),(1,6),(1,7),(3,2),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,5,8,4,3,1,7,6]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,6,8,4,3,7,1,5]=>([(0,7),(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2),(5,6)],8)=>([(0,1)],2)=>1 [2,7,8,4,3,6,5,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,8,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,8,5,6,3,4,1]=>([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [2,6,8,5,7,3,1,4]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [2,5,8,6,7,1,3,4]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,4,8,6,1,7,3,5]=>([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,1,8,6,7,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,3,7,1,6,8,4,2]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(7,6)],8)=>([],1)=>0 [5,4,7,6,1,8,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [4,5,7,6,8,1,3,2]=>([(0,6),(1,2),(1,3),(4,7),(5,7),(6,4),(6,5)],8)=>([],1)=>0 [4,6,7,5,8,3,1,2]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6)],8)=>([],1)=>0 [1,8,5,6,7,2,3,4]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)=>([(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)=>4 [4,6,5,7,8,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5)],8)=>([],1)=>0 [5,4,6,7,1,8,2,3]=>([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [5,3,6,1,7,8,2,4]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(4,7),(5,6),(6,3)],8)=>([(0,1)],2)=>1 [5,2,1,6,7,8,3,4]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(7,3)],8)=>([],1)=>0 [6,2,1,5,7,3,8,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [6,3,5,1,7,2,8,4]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,4,5,7,1,2,8,3]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,4,7,2,1,8,3]=>([(0,6),(1,6),(2,6),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([],1)=>0 [5,6,4,7,2,8,1,3]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [1,8,4,6,2,7,3,5]=>([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [1,8,3,2,6,7,4,5]=>([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,7,3,2,6,8,4,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,6,3,2,7,8,1,4]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [6,5,3,2,7,1,8,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(7,5)],8)=>([],1)=>0 [6,4,3,2,1,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [6,2,1,4,3,7,8,5]=>([(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [4,6,3,2,8,7,1,5]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [4,7,3,2,8,6,5,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,3,2,7,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,8,4,7,2,6,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(4,7),(5,1),(5,6),(5,7)],8)=>([],1)=>0 [3,6,4,8,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,3),(2,4),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [3,4,5,8,1,2,7,6]=>([(0,5),(1,3),(3,6),(3,7),(4,2),(4,6),(4,7),(5,4)],8)=>([],1)=>0 [4,3,5,1,8,2,7,6]=>([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,2,1,5,8,3,7,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [4,2,1,6,8,7,3,5]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,4,6,8,1,7,2,5]=>([(0,5),(1,3),(1,7),(3,6),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,1)],2)=>1 [3,5,6,8,7,1,2,4]=>([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [3,6,5,8,7,2,1,4]=>([(0,7),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [1,8,5,7,6,2,4,3]=>([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8)=>([],1)=>0 [1,8,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,7,8,5,4,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,5,7,8,6,1,4,2]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [3,4,7,8,1,6,5,2]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(5,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,2,1,7,8,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [2,3,8,1,7,6,5,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,2),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,4,8,7,1,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(4,2),(4,3),(4,5),(4,6)],8)=>([],1)=>0 [8,3,5,1,7,4,6,2]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,1,6,8,4,2,3]=>([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,3,1,5,7,6,2,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [4,1,3,2,7,6,8,5]=>([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)=>([(0,1)],2)=>1 [4,2,1,3,7,6,8,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [2,4,1,3,7,6,8,5]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [7,4,8,2,5,9,1,3,6,10]=>([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)=>([],1)=>0 [8,1,3,5,6,2,7,4]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,7,8,3,4,5,6,1]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,6,3,8,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,6,4,8,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [2,6,5,8,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,6,7,8,3,4,1]=>([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,4,6,7,3,8,5,1]=>([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,4,6,7,2,8,1,5]=>([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,1,8,6,5,2,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,7,3,4,8,6,5,2]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)=>([(0,1)],2)=>1 [6,2,4,8,7,1,5,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,7,6,1,4,2,3,5]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [8,2,5,6,7,4,1,3]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,8,7,3,4,5,6,2]=>([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,1,5,4,2,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,5,4,2,1,7,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,3,2,5,1,7,6,4]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [2,1,8,5,3,7,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [8,7,6,5,2,1,4,3]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,7,4,2,6,5,3,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,3,1,5,4,7,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,6,5,3,1,4,2]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,1,3,5,8,2,4,6]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [6,3,4,1,5,2,8,7]=>([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,3,4,1,5,2,8,6]=>([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,2,3,1,7,4,8,5]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [8,4,5,1,6,2,7,3]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [2,1,8,5,6,3,7,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [7,8,5,6,1,3,4,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [3,6,1,4,7,2,5,8]=>([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [7,8,3,5,6,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [7,8,1,4,2,3,6,5]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,6,4,8,3,7,1,5]=>([(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [3,5,6,7,8,1,4,2]=>([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,7,8,1,2,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,8,6,1,3,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,7,4,6,2,8,1,3]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,3,7,1,2,4,8]=>([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,3,8,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [4,2,8,7,1,6,3,5]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(6,3)],8)=>([(0,1)],2)=>1 [2,8,1,3,7,5,4,6]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [1,8,6,4,2,7,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,1)],2)=>1 [8,4,1,5,2,6,3,7]=>([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,8,6,7,1,3,5,4]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,3,5,7,2,1,6,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,8,6,1,4,3,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(3,4),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [7,4,3,1,2,6,5,8]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [4,5,6,7,1,8,3,2]=>([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,5,6,2,7,4,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,5,6,1,7,8,4,2]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,2,4,5,1,6,3,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,1,6,8,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)=>([],1)=>0 [5,2,7,3,4,6,8,1]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,5,7,4,8,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,1)],2)=>1 [1,5,7,4,8,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,7,8,4,5,3,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,6,7,8,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [4,1,2,7,8,6,5,3]=>([(0,5),(0,6),(0,7),(1,4),(4,3),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [1,5,7,3,8,6,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,6,7,8,3,5,4,2]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [1,6,7,8,5,3,4,2]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,3,8,5,2,7,4,1]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,5,2,8,4,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)=>([],1)=>0 [6,3,4,5,8,7,2,1]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,1,4,8,7,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,6,4,8,5,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,1,4,8,6,3,7,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(3,5),(4,6),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [3,4,7,1,8,6,5,2]=>([(0,4),(1,3),(1,5),(1,6),(1,7),(2,5),(4,2),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [6,3,8,4,2,7,1,5]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [3,6,8,7,1,4,2,5]=>([(0,4),(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(7,6)],8)=>([],1)=>0 [5,3,7,1,6,8,2,4]=>([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,3,8,5,6,7,2,1]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,1,2,7,8,5,3]=>([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [3,6,4,2,8,7,5,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [5,4,2,7,3,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [7,5,3,6,4,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,1,5,3,8,2,7]=>([(0,6),(0,7),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,2,6,3,4,7,5,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,6,3,5,4,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [6,2,7,4,3,5,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,1)],2)=>1 [3,7,6,4,5,2,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [2,7,6,5,3,4,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [6,5,4,3,1,8,2,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7)],8)=>([(0,1)],2)=>1 [8,6,5,4,2,7,3,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,5,4,1,7,2,6,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,4,1,8,3,2,6]=>([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([],1)=>0 [1,6,5,2,8,3,4,7]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [1,6,5,3,4,8,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [5,4,6,3,1,8,2,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,5,8,4,2,7,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [5,8,2,6,4,7,3,1]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [7,8,5,3,2,6,4,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [6,8,3,1,7,2,5,4]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6)],8)=>([],1)=>0 [1,8,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,7,5,2,6,4,3,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,7,1,6,2,5,4,3]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [7,8,1,6,3,2,5,4]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,8,1,7,3,5,6,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,1)],2)=>1 [4,8,1,3,7,2,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [4,2,8,5,7,3,6,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,7,6,8,3,2,4]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(3,5),(6,4),(7,4)],8)=>([],1)=>0 [6,7,3,1,8,4,2,5]=>([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [1,7,3,8,4,5,2,6]=>([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [1,7,2,8,5,3,4,6]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,6,1,8,4,3,2,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7)],8)=>([],1)=>0 [8,6,1,7,4,2,5,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,1,2,7,3,4,6,5]=>([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8)=>([],1)=>0 [7,1,2,8,3,5,4,6]=>([(0,7),(1,4),(2,6),(3,6),(4,5),(4,7),(5,2),(5,3)],8)=>([(0,1)],2)=>1 [8,2,6,1,7,3,5,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [4,2,1,5,8,3,6,7]=>([(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(7,4),(7,6)],8)=>([],1)=>0 [5,4,3,1,6,8,2,7]=>([(0,7),(1,7),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([(0,1)],2)=>1 [4,7,5,6,8,3,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,5,4,8,2,7,3,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [6,5,1,8,7,4,2,3]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,4,7,5,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,1,8,3,7,6,2,4]=>([(0,2),(0,3),(0,7),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6)],8)=>([(0,1)],2)=>1 [5,4,8,1,7,2,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,7)],8)=>([],1)=>0 [3,6,8,2,4,7,5,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)=>([],1)=>0 [5,7,3,8,2,6,4,1]=>([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,2,8,6,3,5,1]=>([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,3,8,7,4,5,6,1]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [7,2,8,6,4,3,5,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,1,8,7,5,6,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,2,7,6,3,5,4,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [8,1,7,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [7,1,8,6,5,3,2,4]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)=>([(0,1)],2)=>1 [1,2,8,7,6,3,4,5]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,3,8,7,4,6,2,5]=>([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [5,1,6,8,7,4,2,3]=>([(0,7),(1,3),(1,6),(1,7),(6,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,8,7,2,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [3,8,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [2,8,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [1,8,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [5,8,6,7,3,4,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [7,8,3,6,4,5,1,2]=>([(0,6),(1,5),(2,4),(2,7),(7,3)],8)=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>3 [5,8,6,7,1,4,2,3]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,3,4,5,6,7,8,9,2]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [1,3,4,5,6,7,8,9,10,2]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>7 [5,7,3,4,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,8,3,4,2,5,1,7]=>([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,7,8,6,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,8,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,4,3,7,5,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [3,8,6,7,2,1,5,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,2,6,5,1,3,4,7]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [6,4,3,2,1,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(6,5)],8)=>([],1)=>0 [5,2,1,4,3,7,8,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [2,3,1,8,5,4,7,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [2,4,1,5,8,3,7,6]=>([(0,3),(0,7),(1,6),(1,7),(3,6),(6,2),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [2,4,1,5,3,8,7,6]=>([(0,2),(0,7),(1,6),(1,7),(2,6),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [3,4,5,1,2,8,7,6]=>([(0,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)=>([],1)=>0 [3,4,5,1,8,2,7,6]=>([(0,3),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,2)],8)=>([],1)=>0 [3,4,5,8,2,1,7,6]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,4,5,2,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,6,2,1,7,8,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [3,4,6,2,1,7,5,8]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,7,1,4,8]=>([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,7,1,8,4]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,2,7,8,1,4]=>([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [2,4,8,6,3,7,1,5]=>([(0,7),(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([],1)=>0 [1,8,4,6,3,7,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,7),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,1)],2)=>1 [3,4,6,8,2,7,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)=>([],1)=>0 [3,4,6,2,8,7,5,1]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([],1)=>0 [3,5,6,2,7,8,4,1]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [3,5,6,2,7,4,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,5,6,7,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [3,5,6,8,7,2,4,1]=>([(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [2,5,8,6,7,3,4,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,5,8,6,7,3,1,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [3,5,6,8,7,2,1,4]=>([(0,7),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4)],8)=>([],1)=>0 [4,5,6,7,2,1,8,3]=>([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,3,1,8,6,7,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,3,2,6,7,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,1)],2)=>1 [2,5,1,6,7,8,4,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,5,1,6,7,4,8,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,5,1,6,7,4,3,8]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,1,7,4,2,8]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,1,7,4,8,2]=>([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,4,6,8,1,7,5,2]=>([(0,5),(1,3),(1,6),(1,7),(4,2),(4,7),(5,4),(5,6)],8)=>([],1)=>0 [2,4,8,6,1,7,5,3]=>([(0,5),(0,6),(0,7),(1,4),(1,7),(3,5),(4,2),(4,3),(4,6)],8)=>([(0,1)],2)=>1 [3,5,6,8,7,1,4,2]=>([(0,4),(0,7),(1,5),(1,7),(5,6),(6,2),(6,3)],8)=>([],1)=>0 [4,5,6,7,8,1,3,2]=>([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,5,6,7,1,3,8,2]=>([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,7,1,3,2,8]=>([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,6,7,3,1,8,2]=>([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,5,6,8,7,4,1,2]=>([(0,5),(1,4),(1,6),(6,7),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,5,8,6,7,4,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,5,8,6,7,4,3,1]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)=>([(0,1)],2)=>1 [3,2,4,1,6,8,5,7]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [3,2,4,1,8,5,7,6]=>([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [8,4,2,3,7,5,1,6]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,2,4,1,8,6,5,7]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [2,4,1,7,5,8,6,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [8,1,7,3,6,4,5,2]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)=>([(0,1)],2)=>1 [8,2,3,1,7,4,6,5]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [4,1,3,2,8,5,6,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8)=>([],1)=>0 [8,3,5,1,4,7,2,6]=>([(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,3,7,1,4,8,2,5]=>([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,7,2,8,4,5,3,6]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,8,4,5,7,2,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [3,1,4,7,6,8,5,2]=>([(0,7),(1,3),(1,7),(4,6),(5,6),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,4,6,1,3,8,7,5]=>([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [2,4,3,6,1,5,8,7]=>([(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>([],1)=>0 [2,4,3,6,5,8,1,7]=>([(0,7),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [2,4,6,3,5,8,7,1]=>([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,6,3,5,8,1,7]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [2,4,6,1,5,3,8,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,2,6,5,3,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,2,6,5,1,8,7,3]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,5,8,1,7,3]=>([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,6,5,8,1,3,7]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,2,6,5,8,3,1,7]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [2,4,6,1,5,8,3,7]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(2,7),(3,2),(3,6),(5,7),(6,4),(6,7)],8)=>([],1)=>0 [2,4,1,6,5,8,3,7]=>([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8)=>([],1)=>0 [2,1,4,6,5,8,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,7),(3,4),(3,7),(5,7),(6,2),(6,3)],8)=>([],1)=>0 [2,4,1,6,5,8,7,3]=>([(0,2),(0,5),(1,5),(1,6),(1,7),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [2,4,6,1,5,8,7,3]=>([(0,2),(0,6),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,2,6,5,8,3,7,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [2,6,4,3,8,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [4,2,6,8,5,3,7,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,1)],2)=>1 [2,4,6,8,1,5,7,3]=>([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [2,4,6,1,8,5,7,3]=>([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,4,1,6,8,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,1,4,6,8,5,7,3]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [2,1,4,6,8,5,3,7]=>([(0,5),(0,6),(1,5),(1,6),(3,7),(4,2),(4,7),(5,7),(6,3),(6,4)],8)=>([(0,1)],2)=>1 [2,4,1,6,8,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,2),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [2,4,6,1,8,5,3,7]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(2,7),(3,2),(3,4),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [2,4,6,8,1,5,3,7]=>([(0,5),(0,6),(1,4),(1,6),(3,2),(3,7),(4,3),(4,5),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [4,2,6,8,5,1,3,7]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,6,8,3,5,7,1]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [2,4,6,8,3,5,1,7]=>([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,4,6,8,3,1,5,7]=>([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,4,6,3,1,8,5,7]=>([(0,6),(0,7),(1,2),(1,4),(2,6),(2,7),(3,5),(3,6),(4,3),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [2,4,6,3,8,1,5,7]=>([(0,7),(1,2),(1,4),(2,5),(2,7),(3,5),(3,6),(4,3),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [2,4,6,3,8,5,1,7]=>([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,6,3,8,5,7,1]=>([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,3,6,8,5,7,1]=>([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,4,3,6,8,5,1,7]=>([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [2,4,3,6,8,1,5,7]=>([(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5),(7,5)],8)=>([],1)=>0 [2,4,3,1,6,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,2),(7,5)],8)=>([],1)=>0 [2,4,1,3,6,8,7,5]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [2,4,3,6,1,8,7,5]=>([(0,2),(0,3),(1,4),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [2,4,3,6,8,1,7,5]=>([(0,5),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [4,6,5,2,8,7,1,3]=>([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7)],8)=>([],1)=>0 [2,4,6,3,8,1,7,5]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [2,1,4,6,8,3,7,5]=>([(0,6),(0,7),(1,6),(1,7),(3,2),(3,5),(6,3),(6,4),(7,4),(7,5)],8)=>([],1)=>0 [2,4,1,6,8,3,7,5]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,2),(6,4),(7,4),(7,5)],8)=>([],1)=>0 [2,4,6,1,8,3,7,5]=>([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,6)],8)=>([],1)=>0 [2,4,6,8,1,3,7,5]=>([(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(7,5),(7,6)],8)=>([],1)=>0 [2,4,6,8,3,1,7,5]=>([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,6,2,8,5,7,1,3]=>([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [6,2,4,8,7,1,3,5]=>([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,4,2,8,7,5,3,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,6,4,8,1,7,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [2,6,4,1,8,7,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,6,1,4,8,7,5,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,4),(3,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,6,4,8,7,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [2,6,1,4,8,7,3,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [6,4,2,8,7,5,1,3]=>([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [8,4,2,5,1,6,3,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [3,8,2,1,7,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,1,8,6,4,3,2,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [6,4,3,5,8,7,1,2]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,8,4,7,2,6,3,5]=>([(0,3),(0,4),(0,5),(2,6),(4,2),(4,7),(5,1),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,8,4,7,5,6,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,8,1,7,3,6,4,5]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,1)],2)=>1 [1,5,7,8,2,6,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,2,5,4,8,6,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,5,4,7,6,3,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [5,7,3,8,4,6,2,1]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [8,7,2,1,4,3,6,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,6,3,2,5,4,1]=>([(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,7,3,5,1,6,2,4]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 [8,1,2,3,4,5,6,7,9]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [1,9,2,3,4,5,6,7,8]=>([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>6 [9,1,2,3,4,5,6,7,8,10]=>([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>7 [1,10,2,3,4,5,6,7,8,9]=>([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>7 [5,6,4,3,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,5,6,4,8,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,4,7,2,5,8,3,6]=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)=>([],1)=>0 [4,2,1,3,6,5,8,7]=>([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [8,4,2,1,7,3,6,5]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [5,4,2,8,7,3,6,1]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,2,1,6,3,5,8,7]=>([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8)=>([],1)=>0 [6,2,1,4,3,5,8,7]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [6,2,1,4,3,8,5,7]=>([(0,3),(0,7),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([(0,1)],2)=>1 [8,2,1,4,3,6,5,7]=>([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,3,8,5,7]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [6,2,4,1,3,5,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,4,3,5,8,7]=>([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)=>([],1)=>0 [2,6,1,4,3,5,8,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,7),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [2,6,4,1,3,5,8,7]=>([(0,6),(1,2),(1,3),(1,6),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [4,6,2,1,3,5,8,7]=>([(0,6),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [6,4,2,1,3,5,8,7]=>([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)=>([],1)=>0 [8,4,2,1,3,6,5,7]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [8,4,2,1,6,3,5,7]=>([(1,4),(1,7),(2,4),(2,7),(3,6),(3,7),(4,6),(6,5),(7,5)],8)=>([],1)=>0 [6,4,2,1,8,3,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(6,5)],8)=>([],1)=>0 [2,6,1,4,3,8,5,7]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,7),(4,3),(5,4),(5,7),(6,4),(6,7)],8)=>([],1)=>0 [2,1,6,4,3,8,5,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(4,7),(5,3),(5,7),(6,2),(6,7)],8)=>([],1)=>0 [2,1,8,4,3,6,5,7]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,8,1,4,3,6,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [2,8,4,1,3,6,5,7]=>([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,8,2,1,3,6,5,7]=>([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,8,2,1,4,3,5,7]=>([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,2,1,4,3,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [2,8,1,4,6,3,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,6,1,4,8,3,5,7]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(5,4),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [2,6,4,1,8,3,5,7]=>([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(5,4),(6,5)],8)=>([(0,1)],2)=>1 [2,6,4,8,1,3,5,7]=>([(0,7),(1,2),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8)=>([(0,1)],2)=>1 [4,6,2,8,1,3,5,7]=>([(0,7),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(6,4),(7,6)],8)=>([(0,1)],2)=>1 [4,2,6,1,8,3,5,7]=>([(0,4),(0,6),(1,6),(1,7),(2,5),(2,7),(5,3),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [6,2,4,1,8,3,5,7]=>([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [4,2,1,6,8,3,5,7]=>([(0,4),(0,7),(1,4),(1,7),(2,6),(2,7),(4,6),(6,5),(7,3),(7,5)],8)=>([],1)=>0 [4,2,1,6,3,8,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(5,4),(6,3),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [4,2,1,3,6,8,5,7]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [2,1,4,3,8,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,4,1,3,8,6,5,7]=>([(0,7),(1,2),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([],1)=>0 [4,2,1,3,8,6,5,7]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [4,2,1,8,3,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(4,3),(5,3),(6,4),(6,5)],8)=>([(0,1)],2)=>1 [4,2,1,8,6,3,5,7]=>([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [8,2,1,6,4,3,5,7]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)=>([],1)=>0 [8,2,6,1,4,3,5,7]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(5,4),(6,5),(7,5)],8)=>([],1)=>0 [4,2,8,1,3,6,5,7]=>([(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [2,4,8,1,3,6,5,7]=>([(0,7),(1,3),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [2,4,1,8,3,6,5,7]=>([(0,2),(0,7),(1,4),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,5),(7,6)],8)=>([],1)=>0 [2,1,4,8,3,6,5,7]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([],1)=>0 [2,1,4,8,6,3,5,7]=>([(0,6),(0,7),(1,6),(1,7),(3,4),(5,4),(6,5),(7,2),(7,3),(7,5)],8)=>([(0,1)],2)=>1 [2,4,8,1,6,3,5,7]=>([(0,3),(0,7),(1,6),(1,7),(3,2),(3,5),(3,6),(5,4),(6,4),(7,5)],8)=>([(0,1)],2)=>1 [2,4,8,6,1,3,5,7]=>([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [4,2,8,6,1,3,5,7]=>([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,6,2,1,3,5,7]=>([(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [4,6,8,2,1,3,5,7]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [2,6,8,4,1,3,5,7]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,6,8,1,4,3,5,7]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [2,6,1,8,4,3,5,7]=>([(0,2),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(5,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [2,1,6,8,4,3,5,7]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,4),(7,2),(7,3)],8)=>([(0,1)],2)=>1 [2,1,8,6,4,3,5,7]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)=>([],1)=>0 [2,8,6,4,1,3,5,7]=>([(0,7),(1,2),(1,3),(1,4),(1,7),(3,6),(4,5),(5,6),(7,5)],8)=>([(0,1)],2)=>1 [4,8,6,2,1,3,5,7]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [6,8,4,2,1,3,5,7]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [6,2,4,1,5,3,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,8,4,6,3,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,6,3,8,1,7,2]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,5,3,4,7,1,8,6]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,1)],2)=>1 [8,1,5,3,7,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,4,7,6,5,2,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [1,2,8,7,4,5,6,3]=>([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,8,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [8,7,1,6,4,5,3,2]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [8,1,7,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [1,8,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [6,3,5,7,2,8,4,1]=>([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,7,2,6,4,1,3,5]=>([(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [2,6,7,5,4,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,8,7,2,6,5,3,1]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([],1)=>0 [5,8,7,6,2,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [5,8,7,6,4,1,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [7,3,5,2,6,4,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,1,5,6,4,3,8]=>([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [1,4,6,7,3,8,2,5]=>([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,5,7,1,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [6,3,5,1,7,4,8,2]=>([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [6,2,1,5,7,4,8,3]=>([(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8)=>([],1)=>0 [3,2,1,5,7,4,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(6,4),(6,5),(7,3),(7,4)],8)=>([],1)=>0 [2,4,6,7,3,8,1,5]=>([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [1,4,6,7,3,8,5,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,5,6,7,8,3,4,2]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,5,6,7,8,3,1,4]=>([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,2,1,6,7,8,4,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(6,3),(7,4)],8)=>([],1)=>0 [5,2,1,6,7,8,4,3]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [5,3,6,1,7,8,4,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [5,4,6,7,1,8,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8)=>([],1)=>0 [1,5,6,7,8,3,2,4]=>([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,5,7,2,1,8,3]=>([(0,6),(1,5),(1,7),(2,5),(2,7),(3,4),(4,6),(6,7)],8)=>([(0,1)],2)=>1 [5,4,6,7,2,8,3,1]=>([(1,6),(2,6),(3,4),(3,7),(5,7),(6,5)],8)=>([(0,1)],2)=>1 [6,3,5,2,7,1,8,4]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(3,4),(3,6),(4,7),(7,5)],8)=>([(0,1)],2)=>1 [6,3,4,2,1,7,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [4,3,6,2,7,8,5,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([],1)=>0 [3,4,6,7,2,8,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [4,2,1,5,7,3,8,6]=>([(0,7),(1,4),(1,7),(2,4),(2,7),(3,6),(4,5),(4,6),(7,3),(7,5)],8)=>([],1)=>0 [1,5,6,7,8,2,4,3]=>([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,5,6,7,8,4,2,3]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,4,6,7,1,8,5,2]=>([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [4,3,6,1,7,8,5,2]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [1,3,2,5,4,7,6,9,8,10]=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10)=>([(0,3),(2,1),(3,2)],4)=>3 [7,1,8,3,6,2,5,4]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [6,3,1,4,2,8,5,7]=>([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [2,7,6,5,8,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [6,3,2,1,7,4,8,5]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,5)],8)=>([],1)=>0 [4,2,1,7,3,5,8,6]=>([(0,6),(0,7),(1,4),(1,7),(2,4),(2,7),(4,6),(6,3),(6,5),(7,5)],8)=>([],1)=>0 [7,3,1,5,4,2,8,6]=>([(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,4,1,5,2,7,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(3,7),(5,6),(5,7)],8)=>([],1)=>0 [8,2,5,1,3,7,6,4]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([],1)=>0 [4,3,7,2,1,5,8,6]=>([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(7,4),(7,6)],8)=>([],1)=>0 [4,7,2,5,3,1,8,6]=>([(0,6),(0,7),(1,3),(1,5),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [2,7,5,4,1,3,8,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [7,5,4,3,2,1,8,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,5,2,1,8,4,3,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [5,7,4,3,2,8,1,6]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [1,7,6,2,4,8,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,7),(4,7),(5,1),(5,2)],8)=>([],1)=>0 [2,7,3,6,4,8,1,5]=>([(0,6),(1,3),(1,5),(2,7),(3,7),(4,6),(4,7),(5,2),(5,4)],8)=>([],1)=>0 [6,2,7,5,3,8,1,4]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [7,1,8,5,3,6,4,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,8,3,2,7,1,6,4]=>([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,3,1,6,5,4,2]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,7,2,6,1,5,4,3]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [1,8,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,1)],2)=>1 [1,8,5,7,2,4,6,3]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [3,8,6,1,7,2,5,4]=>([(0,4),(0,7),(1,2),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [7,2,8,5,6,1,4,3]=>([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,3,7,5,8,2,1,4]=>([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [3,7,2,6,8,4,1,5]=>([(0,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(6,4),(7,5)],8)=>([],1)=>0 [3,6,5,8,1,4,2,7]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,7),(6,7)],8)=>([],1)=>0 [2,6,5,8,4,1,3,7]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [6,5,4,8,3,2,1,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,3,5,1,8,4,2,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,6),(3,7),(4,6),(4,7),(5,7)],8)=>([],1)=>0 [8,4,1,5,7,3,6,2]=>([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,4,1,6,8,2,3,7]=>([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [6,3,7,4,8,5,2,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,7,2,5,8,6,3,1]=>([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,3,1,8,4,7,5,2]=>([(0,6),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(6,3),(6,5)],8)=>([],1)=>0 [6,5,3,8,7,4,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,4,8,1,7,6,2,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4)],8)=>([(0,1)],2)=>1 [5,2,8,1,7,3,6,4]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(6,3),(6,5)],8)=>([],1)=>0 [6,4,7,8,1,5,3,2]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,3,7,8,5,2,4,1]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,5,8,7,1,3,6,4]=>([(0,7),(1,5),(1,7),(5,3),(5,4),(5,6),(7,2),(7,6)],8)=>([],1)=>0 [5,3,8,7,2,1,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,7,6,1,5,4,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([],1)=>0 [8,2,7,6,5,1,4,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([],1)=>0 [4,3,8,7,6,2,1,5]=>([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [2,4,8,7,6,1,3,5]=>([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [3,5,8,7,2,6,1,4]=>([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8)=>([(0,2),(2,1)],3)=>2 [4,7,3,8,6,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,5,8,6,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,8,7,3,6,4,2,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [4,8,7,6,2,5,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([],1)=>0 [3,8,7,6,5,1,4,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7)],8)=>([],1)=>0 [2,8,7,6,5,4,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>([(0,1)],2)=>1 [7,8,3,2,4,1,6,5]=>([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,2,5,7,1,3,6,4]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)=>([],1)=>0 [8,2,3,5,7,1,6,4]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)=>([],1)=>0 [8,7,1,3,4,6,2,5]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,3,4,5,1,6,2]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [8,7,4,5,2,6,1,3]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)=>([(0,1)],2)=>1 [6,4,3,2,8,7,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [4,3,1,7,8,6,5,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [3,1,8,4,6,7,5,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,1)],2)=>1 [7,5,8,3,1,4,2,6]=>([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,5,8,6,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>([(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)=>4 [7,5,3,4,1,8,2,6]=>([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,2,5,4,1,8,7]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [5,4,8,3,2,7,6,1]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,3,2,8,4,7,6,1]=>([(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [2,1,5,8,4,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(6,3),(6,4),(7,2),(7,3),(7,4)],8)=>([],1)=>0 [8,4,7,3,6,5,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [6,8,5,7,4,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,1,8,6,3,5,4,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)=>([(0,1)],2)=>1 [1,8,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,1)],2)=>1 [8,7,1,3,6,2,5,4]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [7,8,1,4,2,6,3,5]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,2,8,7,3,5,6,1]=>([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [6,8,4,2,1,3,7,5]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,8,5,2,7,4,3,1]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [5,8,4,3,7,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,2,3,1,5,6,7,4]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,1,2,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,2,1,8,5,6,7,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,3,8,6,7,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [7,8,2,3,1,6,4,5]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,7,1,5,2,3,6,4]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,4,1,2,3,6,5]=>([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,2,1,6,3,4,5]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,5,6,7,4,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,5,7,8,6,3,4,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,3,6,1,5,2,4,8]=>([(0,7),(1,3),(1,5),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [7,1,8,6,3,5,2,4]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,2,7,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [5,3,4,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [4,8,2,6,3,7,5,1]=>([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,1,3,5,2,6,4,7]=>([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,4,8,7,2,3,5,1]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [4,2,1,3,7,5,8,6]=>([(0,7),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,5),(7,6)],8)=>([],1)=>0 [8,1,3,5,7,2,4,6]=>([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,7,3,5,6,2,1,4]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,7,2,1,6,5,4,3]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,3,5,6,1,7,4,2]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,3,6,5,1,4,2]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [2,5,7,8,6,3,1,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [6,8,5,4,3,7,2,1]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,7,5,4,3,1,6,2]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,2,3,6,8,1,5,7]=>([(0,7),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [3,4,2,5,8,6,7,1]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,1,8,5,6,7,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,1,4,3,6,5,2,7]=>([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [8,2,6,3,4,5,1,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [3,7,2,8,4,5,6,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [7,1,8,3,4,5,6,2]=>([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,2,5,7,4,6,1,3]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,2,7,4,5,6,1,3]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,8,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [1,8,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [3,4,1,2,8,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8)=>([(0,1)],2)=>1 [4,2,3,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,1)],2)=>1 [5,7,3,2,4,1,8,6]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [1,8,2,4,5,6,7,3]=>([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,6,7,8,5,2,3,4]=>([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8)=>([(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)=>4 [4,3,1,2,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,7,4,6,3,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,5,7,3,6,4,2,1]=>([(3,6),(3,7),(4,5),(4,7)],8)=>([],1)=>0 [8,1,7,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [8,2,7,3,6,5,4,1]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [8,3,7,2,6,5,4,1]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>([],1)=>0 [8,5,7,2,6,4,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [8,4,7,1,6,5,3,2]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7)],8)=>([],1)=>0 [8,1,7,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [8,5,7,6,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [8,3,7,6,5,1,4,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([],1)=>0 [8,7,6,2,5,1,4,3]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [2,6,3,7,4,8,1,5]=>([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [4,8,1,5,2,6,3,7]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,7,4,8,1,5,2,6]=>([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,6,3,5,2,4,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [7,6,3,4,8,2,5,1]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,6,8,3,5,7,2,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [4,7,3,5,8,2,6,1]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,3,5,7,1,8,2]=>([(0,5),(1,5),(2,7),(3,4),(3,6),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [4,6,7,3,5,8,2,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,7,1,6,4,2,3,5]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [7,1,8,5,4,2,3,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,7,5,8,6,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,2,6,7,5,4,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [8,6,1,3,5,4,2,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [7,2,8,5,3,6,4,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,3,7,5,6,8,2,4]=>([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,4,5,7,2,8,1,3]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [2,5,7,3,6,8,1,4]=>([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,5,2,3,4,8,1,7]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,3,2,8,4,5,7,1]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [8,6,3,7,2,4,5,1]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [8,2,7,3,4,5,6,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,7,3,4,5,6,2]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,2,8,3,4,5,6,1]=>([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8)=>([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>5 [1,7,8,3,4,5,6,2]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [2,8,7,3,4,5,6,1]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,8,7,2,4,5,6,1]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,3,6,2,4,5,1]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,8,5,6,7,2,1,4]=>([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,1,7,3,5,6,4,2]=>([(1,4),(1,5),(1,7),(6,3),(7,2),(7,6)],8)=>([(0,1)],2)=>1 [3,8,7,4,5,6,1,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,8,3,1,2,5,6,4]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,3,1,2,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,3,4,7,8,6,1,2]=>([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,4,2,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,4,3,2,1,6,5]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [7,6,5,2,1,4,3,8]=>([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [3,1,4,6,7,8,5,2]=>([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,1,8,3,5,7,4,6]=>([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [3,5,7,4,8,6,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [5,3,8,7,4,6,1,2]=>([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,4,1,6,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8)=>([(0,2),(2,1)],3)=>2 [7,5,4,8,3,6,2,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [4,5,6,2,7,1,3,8]=>([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,2,5,1,6,7,3,4]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [8,2,4,5,1,6,7,3]=>([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8)=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>5 [8,7,1,6,5,2,4,3]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [6,2,3,8,4,7,5,1]=>([(1,3),(2,6),(2,7),(3,5),(3,6),(5,4),(5,7)],8)=>([],1)=>0 [4,2,3,1,7,8,6,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,4,2,1,8,6,7,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,7,4,6,1,3,8,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,1,8,2,5,7,4,6]=>([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8)=>([(0,2),(2,1)],3)=>2 [7,6,4,8,3,5,2,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [8,6,1,4,2,3,5,7]=>([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)=>([(0,1)],2)=>1 [1,8,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,4,1,3,8,5,7,6]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [6,8,3,1,4,2,5,7]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,7,4,6,3,2,1,5]=>([(2,7),(3,7),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,7,6,2,5,4,1,3]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,4,7,6,2,5,3,1]=>([(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([],1)=>0 [8,7,4,6,3,5,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,6,4,7,3,2,5,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [8,3,5,7,2,4,6,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,8,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [6,8,3,4,5,7,2,1]=>([(2,5),(3,4),(3,7),(5,6),(6,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [8,1,6,4,5,3,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [8,7,2,4,5,3,6,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,8,3,2,4,7,5,1]=>([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,1,6,3,4,5,2,7]=>([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,3,1,4,7,2,6,5]=>([(1,5),(2,4),(2,5),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>([],1)=>0 [2,1,8,5,4,6,3,7]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)=>([],1)=>0 [8,5,7,6,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [6,8,7,5,1,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5)],8)=>([],1)=>0 [8,4,1,5,6,7,3,2]=>([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,4,5,6,7,3,2]=>([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,3,1,4,6,2,5,7]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [4,2,3,6,8,7,5,1]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [4,2,1,8,7,5,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [8,7,5,3,6,4,2,1]=>([(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [6,1,7,8,2,5,3,4]=>([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [6,5,1,8,7,3,4,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,6,2,7,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,8,7,2,5,1,3,4]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,7,2,1,5,6,3,4]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,1,3,7,5,2,6,4]=>([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [1,8,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [8,6,5,3,7,2,4,1]=>([(2,7),(3,7),(4,6),(5,6),(5,7)],8)=>([],1)=>0 [8,5,6,3,7,2,4,1]=>([(2,6),(3,6),(3,7),(4,5),(5,7)],8)=>([(0,1)],2)=>1 [7,4,6,3,5,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [6,4,7,3,5,2,8,1]=>([(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [6,5,8,3,7,2,4,1]=>([(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)=>([],1)=>0 [6,5,8,4,7,2,3,1]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [6,4,7,3,8,2,5,1]=>([(1,7),(2,6),(2,7),(3,5),(4,5),(4,7),(5,6)],8)=>([],1)=>0 [5,3,7,2,4,6,8,1]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(4,7),(5,6),(6,7)],8)=>([],1)=>0 [4,3,1,6,7,8,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [7,3,8,6,2,4,5,1]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [5,3,8,2,4,6,7,1]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)=>([],1)=>0 [5,6,3,4,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,6,4,2,1,3,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,5,4,1,7,6,2,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [2,1,7,8,6,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,1)],2)=>1 [5,4,2,3,8,1,7,6]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,6,5,2,7,3,4,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [7,8,3,1,4,2,5,6]=>([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,8,1,4,5,6,7,3]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,4,2,6,8,7,5]=>([(0,6),(1,4),(1,6),(4,5),(4,7),(6,5),(6,7),(7,2),(7,3)],8)=>([],1)=>0 [3,8,7,4,6,5,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [2,8,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [8,3,1,7,4,6,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,6,3,5,7,2,8,1]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [4,2,6,7,3,5,8,1]=>([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8)=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>4 [5,6,4,7,1,3,8,2]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [7,1,8,3,5,6,4,2]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,1,5,7,8,6,4,2]=>([(0,6),(0,7),(1,4),(1,6),(1,7),(5,3),(7,2),(7,5)],8)=>([(0,1)],2)=>1 [6,4,7,5,2,3,8,1]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,2,3,1,8,7,5,6]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,6,4,8,7,5,1,3]=>([(0,7),(1,3),(1,4),(1,7),(3,5),(3,6),(4,2),(4,5),(4,6)],8)=>([(0,1)],2)=>1 [4,7,5,6,8,3,1,2]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,4,2,5,6,1,3]=>([(2,7),(3,6),(4,6),(4,7),(7,5)],8)=>([],1)=>0 [8,2,7,1,3,6,4,5]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [6,5,3,4,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,2,6,7,4,3,8,1]=>([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,7,2,5,4,3,6,1]=>([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>([],1)=>0 [8,7,3,6,1,5,4,2]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([],1)=>0 [8,3,6,2,1,7,5,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,4,1,7,3,6,2]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(5,7)],8)=>([],1)=>0 [8,4,2,7,6,3,1,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8)=>([],1)=>0 [2,6,8,5,7,4,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,5,8,3,7,1,2]=>([(0,7),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [5,2,6,8,3,7,4,1]=>([(1,6),(2,3),(2,6),(3,5),(3,7),(6,4),(6,7)],8)=>([],1)=>0 [5,4,6,3,1,2,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,1,7,6,8,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,1)],2)=>1 [3,5,6,8,4,7,2,1]=>([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,4,6,3,7,5,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,4,6,2,7,5,3]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,6,3,1,4,7,2,5]=>([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [7,1,8,6,4,3,5,2]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)=>([(0,1)],2)=>1 [6,8,5,7,4,1,2,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [4,5,2,3,1,7,8,6]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,6,5,7,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [7,6,4,8,2,3,5,1]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6)],8)=>([(0,1)],2)=>1 [8,4,1,5,7,6,2,3]=>([(1,7),(2,6),(2,7),(6,3),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,4,7,6,3,1,5,2]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)=>([(0,2),(2,1)],3)=>2 [2,3,1,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,2,8,1,5,6,7,4]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,7,5,2,4,6,8,1]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [1,8,3,2,7,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)=>([(0,1)],2)=>1 [8,4,3,2,7,1,6,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,8,2,7,3,4,6,1]=>([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,3,5,4,2,1,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [8,1,6,7,2,5,3,4]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,3,4,7,6,2,5]=>([(0,3),(0,4),(0,5),(4,7),(5,6),(6,1),(6,2),(6,7)],8)=>([(0,1)],2)=>1 [7,8,1,4,5,6,3,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,1,8,4,5,6,7,2]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [2,8,7,5,4,6,1,3]=>([(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(4,6),(5,6)],8)=>([(0,1)],2)=>1 [2,8,6,4,7,5,1,3]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,5,2,6,3,7,4,1]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [1,8,5,4,2,3,7,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)=>([(0,1)],2)=>1 [1,8,7,4,2,6,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,5,7,6,2,3,4]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [1,8,6,7,5,2,3,4]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,1,5,6,4,7,2,3]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,2,4,1,3,7,5]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [3,7,4,6,5,2,8,1]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [8,3,2,5,1,6,7,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4)],8)=>([],1)=>0 [8,2,7,3,4,6,5,1]=>([(2,5),(2,6),(6,7),(7,3),(7,4)],8)=>([],1)=>0 [8,7,1,5,4,2,3,6]=>([(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,2,3,5,1,7,6,4]=>([(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8)=>([],1)=>0 [8,2,4,1,6,3,7,5]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [7,1,8,6,2,5,3,4]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,2,3,1,5,7,6,4]=>([(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8)=>([],1)=>0 [2,5,8,3,7,4,6,1]=>([(1,4),(1,5),(3,6),(4,3),(4,7),(5,2),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [4,3,7,8,5,6,2,1]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [5,2,8,6,4,7,3,1]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(6,7)],8)=>([],1)=>0 [7,2,8,6,3,4,5,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,6,5,8,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [8,7,2,4,5,1,6,3]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [5,8,7,4,6,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [5,8,4,7,6,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [3,8,7,6,2,5,4,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([],1)=>0 [3,5,7,1,4,6,8,2]=>([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,7,5,3,2,4,6,8]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>([],1)=>0 [4,2,5,6,3,1,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,5,3,7,1,2,8,6]=>([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,6,8,2,3,5,7,1]=>([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>5 [3,5,2,4,6,1,8,7]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [7,5,3,4,8,2,1,6]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [8,7,4,1,5,2,6,3]=>([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,1,3,4,2,8,5,7]=>([(0,6),(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6)],8)=>([(0,1)],2)=>1 [8,7,1,3,6,5,4,2]=>([(2,6),(2,7),(7,3),(7,4),(7,5)],8)=>([],1)=>0 [8,1,7,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)=>([],1)=>0 [3,8,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [2,8,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [1,8,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>([(0,1)],2)=>1 [3,6,4,8,7,5,2,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [5,4,8,2,6,3,7,1]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,8,2,4,3,7,6,1]=>([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,6,3,4,8,7,2,1]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [8,2,6,3,5,4,1,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [8,6,1,5,2,4,3,7]=>([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>([],1)=>0 [8,1,7,3,5,2,6,4]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,5,8,2,3,1,4,6]=>([(0,7),(1,5),(2,5),(2,6),(3,4),(4,7),(7,6)],8)=>([(0,1)],2)=>1 [6,7,8,4,2,5,3,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [8,6,3,1,4,2,5,7]=>([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [2,1,7,5,8,6,3,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,3,6,4,1,2,8,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,5,6,7,3,1,4,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [6,4,7,5,2,8,3,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [3,1,8,2,5,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)=>([],1)=>0 [5,3,2,8,6,4,7,1]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([(0,1)],2)=>1 [5,3,6,4,8,2,7,1]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [5,2,1,4,3,8,6,7]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1)],2)=>1 [5,4,3,1,2,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [5,3,4,1,2,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,1,4,8,3,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,3,1,4,2,6,5,7]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,8,5,3,6,2,1,4]=>([(0,7),(1,7),(2,6),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [6,4,2,3,5,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,1,8,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)=>([(0,1)],2)=>1 [7,2,4,5,1,6,3,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,5,4,8,6,3,1,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)=>([(0,1)],2)=>1 [2,5,4,8,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [3,8,5,6,4,7,2,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [3,8,4,5,6,7,2,1]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,2,6,7,4,1,3]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [7,6,3,8,4,5,2,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [1,6,3,8,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [7,8,1,3,4,5,6,2]=>([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [8,1,2,4,5,6,7,3]=>([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,2,7,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [5,2,7,3,4,6,1,8]=>([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,6,1,7,5,3,2,4]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [8,1,3,7,2,4,5,6]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [2,4,1,8,5,7,6,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(4,5),(4,7),(7,2),(7,3)],8)=>([],1)=>0 [2,3,1,8,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,1)],2)=>1 [4,2,6,3,8,5,7,1]=>([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8)=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>5 [7,4,8,6,5,3,2,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [7,2,8,5,4,6,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [7,4,6,2,3,8,5,1]=>([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [2,3,1,7,8,5,6,4]=>([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,7,1,4,2,3,5]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,8,2,1,7,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [4,7,1,5,8,2,6,3]=>([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,6,4,7,1,2,8,3]=>([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,6,7,5,8,2,3,1]=>([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [2,8,5,7,6,4,1,3]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)=>([(0,1)],2)=>1 [6,7,8,5,3,1,4,2]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [1,4,6,2,5,3,7,8]=>([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)=>([],1)=>0 [8,5,2,4,1,6,3,7]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,1,7,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [8,7,3,4,1,2,6,5]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [8,4,2,5,1,6,7,3]=>([(1,6),(2,5),(2,7),(3,5),(3,6),(6,7),(7,4)],8)=>([],1)=>0 [1,7,8,6,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [1,8,3,5,6,2,7,4]=>([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [8,3,2,5,6,1,7,4]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,4)],8)=>([],1)=>0 [3,7,6,8,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,7,5,6,8,3,4,1]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,1,7,6,4,3,2]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)=>([],1)=>0 [8,4,6,7,3,2,5,1]=>([(2,7),(3,7),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [7,8,6,3,1,4,5,2]=>([(1,7),(2,5),(3,4),(3,7),(7,6)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [6,1,4,7,2,5,8,3]=>([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,5,7,2,4,1,6,3]=>([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8)=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>4 [7,5,8,6,2,3,4,1]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [8,6,4,2,1,3,5,7,9]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)=>([],1)=>0 [1,8,4,5,6,7,2,3]=>([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [3,5,2,4,7,6,8,1]=>([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,5,2,7,4,6,8,1]=>([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [3,2,5,7,4,6,8,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,1,6,7,3,4,2,5]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,6,4,7,5,1,2,3]=>([(1,7),(2,5),(3,4),(3,7),(5,6)],8)=>([(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)=>4 [6,8,7,3,5,4,2,1]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [3,8,6,5,7,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [2,8,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)=>([(0,1)],2)=>1 [7,1,8,4,6,3,5,2]=>([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,6,2,3,1,5,7,4]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,1,6,4,7,8,5,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,8,2,7,5,4,3,1]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7)],8)=>([],1)=>0 [1,7,6,4,8,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,1),(6,7)],8)=>([(0,1)],2)=>1 [8,4,7,1,5,3,6,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [1,7,6,5,3,2,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>([],1)=>0 [8,7,4,6,5,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8)=>([],1)=>0 [8,3,1,2,4,6,7,5]=>([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [5,8,6,3,1,2,4,7]=>([(0,6),(1,5),(2,3),(2,4),(4,7),(5,6),(6,7)],8)=>([(0,1)],2)=>1 [8,2,5,1,6,3,7,4]=>([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8)=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>5 [1,7,4,2,3,5,8,6]=>([(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,2),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [8,7,1,4,6,5,3,2]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [3,5,8,6,7,1,4,2]=>([(0,4),(0,7),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [5,3,4,8,6,2,7,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [5,4,6,3,7,2,8,1,9]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)=>([],1)=>0 [8,1,2,7,4,5,6,3]=>([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [2,1,7,8,4,5,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,1,8,4,6,5,3,2]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3)],8)=>([(0,1)],2)=>1 [8,1,6,7,4,2,3,5]=>([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,4,2,6,1,7,3]=>([(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(7,6)],8)=>([],1)=>0 [1,8,4,7,5,2,6,3]=>([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8)=>([(0,2),(2,1)],3)=>2 [5,8,3,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>([],1)=>0 [8,1,4,6,7,5,2,3]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,5,6,8,2,3,7,1]=>([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [6,4,7,8,5,1,3,2]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [4,7,3,8,2,6,5,1]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [7,4,2,3,6,8,5,1]=>([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [5,4,6,2,3,1,8,7]=>([(0,6),(0,7),(1,5),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [2,1,7,6,8,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(5,2),(6,3),(7,3)],8)=>([(0,1)],2)=>1 [1,8,2,7,3,5,6,4]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [1,8,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(2,1)],3)=>2 [8,3,4,5,6,1,7,2]=>([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8)=>([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>5 [8,7,6,4,1,5,3,2]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [2,7,5,6,4,3,8,1]=>([(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2)],8)=>([(0,1)],2)=>1 [3,8,5,7,6,4,2,1]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [8,5,6,3,1,4,2,7]=>([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [1,2,6,4,7,3,5,8]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>([],1)=>0 [2,5,3,6,7,8,4,1]=>([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,6,1,5,2,3,4,7]=>([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8)=>([(0,2),(2,1)],3)=>2 [8,5,1,6,2,3,4,7]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [1,6,4,8,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,2,3,1,7,4,5,6]=>([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,7,1,6,3,5,4,2]=>([(2,5),(2,6),(2,7),(7,3),(7,4)],8)=>([],1)=>0 [3,2,1,7,8,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [3,2,8,1,7,5,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [7,8,1,6,3,4,5,2]=>([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [7,1,6,8,2,5,3,4]=>([(0,7),(1,4),(1,6),(4,7),(5,3),(6,2),(6,5)],8)=>([(0,1)],2)=>1 [7,2,8,4,5,6,3,1]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [4,5,3,1,2,8,6,7]=>([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [7,1,8,5,3,4,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,7,3,6,5,2,4,1]=>([(3,7),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [8,7,1,4,5,3,6,2]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [8,3,5,6,4,7,2,1]=>([(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,1)],2)=>1 [6,4,8,7,5,3,2,1]=>([(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [1,5,8,4,6,7,2,3]=>([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8)=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>4 [4,2,7,8,3,5,6,1]=>([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8)=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>5 [8,4,3,1,6,2,5,7]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,7),(6,5),(7,5)],8)=>([(0,1)],2)=>1 [5,3,7,4,2,6,8,1]=>([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [5,3,2,4,7,1,8,6]=>([(0,4),(1,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5)],8)=>([],1)=>0 [1,7,5,4,3,2,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>([],1)=>0 [4,2,5,7,8,6,3,1]=>([(1,7),(2,4),(2,7),(6,3),(7,5),(7,6)],8)=>([(0,1)],2)=>1 [1,4,6,8,2,5,7,3]=>([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,2,5,6,4,3,1,7]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [8,4,7,2,6,3,1,5]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)=>([],1)=>0 [8,6,3,4,7,2,1,5]=>([(1,7),(2,7),(3,6),(4,5),(5,6),(5,7)],8)=>([(0,1)],2)=>1 [3,1,5,6,4,2,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [2,1,5,3,7,8,6,4]=>([(0,6),(0,7),(1,6),(1,7),(5,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>([(0,1)],2)=>1 [8,7,1,3,4,5,6,2]=>([(2,4),(2,7),(5,6),(6,3),(7,5)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,2,5,1,3,4,8,7]=>([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,2,4,6,7,5,3]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [4,5,3,1,2,8,7,6]=>([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>3 [6,4,2,3,1,8,7,5]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)=>([(0,1)],2)=>1 [1,7,8,6,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,4,6,2,7,1,3,5]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>([(0,1)],2)=>1 [5,6,2,3,8,4,7,1]=>([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8)=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>5 [6,5,2,3,8,4,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8)=>([(0,2),(2,1)],3)=>2 [8,5,2,7,3,4,6,1]=>([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8)=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>4 [6,8,7,2,3,4,5,1]=>([(1,7),(2,4),(2,5),(6,3),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,5,7,4,6,8,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [8,3,2,6,1,5,7,4]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(7,5)],8)=>([(0,1)],2)=>1 [2,6,4,8,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [3,1,2,8,7,6,4,5]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,1)],2)=>1 [6,5,7,4,8,3,9,2,10,1,11]=>([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)=>([],1)=>0 [8,5,4,1,6,3,7,2]=>([(1,7),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)=>([],1)=>0 [2,7,8,3,6,4,5,1]=>([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [8,5,2,6,3,4,7,1]=>([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8)=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>3 [8,3,6,1,2,7,4,5]=>([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8)=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>5 [8,5,1,6,3,2,4,7]=>([(1,5),(2,3),(2,4),(2,5),(3,7),(4,7),(5,6),(7,6)],8)=>([(0,1)],2)=>1 [6,8,4,3,2,7,5,1]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7)],8)=>([(0,1)],2)=>1 [2,3,1,8,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(1,7),(3,4),(3,5),(3,6),(3,7),(7,2)],8)=>([(0,1)],2)=>1 [2,1,5,7,4,6,8,3]=>([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [3,8,2,1,6,7,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [3,1,2,8,5,4,7,6]=>([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)=>([(0,1)],2)=>1 [3,7,2,5,8,6,4,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [3,5,6,7,2,4,8,1]=>([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8)=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>4 [2,5,7,8,6,1,4,3]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,2),(5,4)],8)=>([(0,1)],2)=>1 [1,7,8,5,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,8,5,4,7,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [4,3,1,8,7,5,6,2]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [1,6,8,7,5,2,3,4]=>([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8)=>([(0,2),(2,1)],3)=>2 [8,2,4,7,3,6,5,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [1,8,2,4,7,5,6,3]=>([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)=>([(0,1)],2)=>1 [8,2,7,4,5,3,6,1]=>([(2,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8)=>([(0,1)],2)=>1 [8,6,5,2,4,3,7,1]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>([],1)=>0 [4,5,3,2,1,8,6,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [8,6,1,7,3,4,5,2]=>([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [5,4,2,3,1,7,8,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)=>([(0,1)],2)=>1 [8,2,5,4,7,3,6,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [1,7,4,8,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,6),(5,7),(7,1)],8)=>([],1)=>0 [1,6,8,2,7,3,4,5]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [4,1,2,6,7,8,5,3]=>([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8)=>([(0,2),(2,1)],3)=>2 [1,8,7,3,5,2,6,4]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [6,8,5,3,2,4,1,7]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(4,7),(6,7)],8)=>([(0,1)],2)=>1 [4,8,5,2,6,7,3,1]=>([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [8,4,6,2,1,5,7,3]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8)=>([(0,2),(2,1)],3)=>2 [8,3,5,2,4,7,1,6]=>([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [1,8,7,4,5,6,2,3]=>([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,7,5,6,4,8,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [6,5,8,2,3,4,7,1]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8)=>([(0,2),(2,1)],3)=>2 [2,6,1,5,3,4,8,7]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>([(0,1)],2)=>1 [3,8,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(2,7),(7,3)],8)=>([(0,1)],2)=>1 [8,2,7,5,4,6,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(4,7),(5,7)],8)=>([(0,1)],2)=>1 [6,4,7,5,3,2,8,1]=>([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>([(0,2),(2,1)],3)=>2 [8,7,1,6,4,3,5,2]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [4,8,6,2,5,7,3,1]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [8,2,6,5,7,4,3,1]=>([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)=>([],1)=>0 [8,2,5,3,7,6,4,1]=>([(2,3),(2,4),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>([],1)=>0 [8,2,7,3,1,4,5,6]=>([(1,7),(2,4),(2,5),(5,7),(6,3),(7,6)],8)=>([],1)=>0 [6,8,4,2,5,3,7,1]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [8,2,6,4,3,7,5,1]=>([(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>([],1)=>0 [6,4,5,3,8,7,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,6,2,4,7,5,8,1]=>([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8)=>([(0,4),(2,3),(3,1),(4,2)],5)=>4 [8,4,6,3,5,1,7,2]=>([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8)=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 [2,5,7,8,6,4,1,3]=>([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [5,3,7,4,6,2,1,8]=>([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8)=>([(0,3),(2,1),(3,2)],4)=>3 [1,8,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8)=>([(0,1),(0,2),(1,3),(2,3)],4)=>2 [3,7,5,6,4,2,8,1]=>([(1,7),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)=>([(0,1)],2)=>1 [7,4,6,2,8,5,3,1]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(5,7)],8)=>([],1)=>0
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Description
The dimension of the space of valuations of a lattice.
A valuation, or modular function, on a lattice $L$ is a function $v:L\mapsto\mathbb R$ satisfying
$$ v(a\vee b) + v(a\wedge b) = v(a) + v(b). $$
It was shown by Birkhoff [1, thm. X.2], that a lattice with a positive valuation must be modular. This was sharpened by Fleischer and Traynor [2, thm. 1], which states that the modular functions on an arbitrary lattice are in bijection with the modular functions on its modular quotient Mp00196The modular quotient of a lattice..
Moreover, Birkhoff [1, thm. X.2] showed that the dimension of the space of modular functions equals the number of subsets of projective prime intervals.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
antichains of maximal size
Description
The lattice of antichains of maximal size in a poset.
The set of antichains of maximal size can be ordered by setting $A \leq B \leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow} B$, where $\mathop{\downarrow} A$ is the order ideal generated by $A$.
This is a sublattice of the lattice of all antichains with respect to the same order relation. In particular, it is distributive.