Identifier
Values
=>
Cc0020;cc-rep-1
Cc0014;cc-rep
[1]=>([],1)=>([],1)=>0
[1,2]=>([],2)=>([],1)=>0
[2,1]=>([(0,1)],2)=>([],2)=>0
[1,2,3]=>([],3)=>([],1)=>0
[1,3,2]=>([(1,2)],3)=>([(0,2),(1,2)],3)=>0
[2,1,3]=>([(1,2)],3)=>([(0,2),(1,2)],3)=>0
[2,3,1]=>([(0,2),(1,2)],3)=>([],2)=>0
[3,1,2]=>([(0,2),(1,2)],3)=>([],2)=>0
[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>([],3)=>0
[1,2,3,4]=>([],4)=>([],1)=>0
[1,2,4,3]=>([(2,3)],4)=>([(0,2),(1,2)],3)=>0
[1,3,2,4]=>([(2,3)],4)=>([(0,2),(1,2)],3)=>0
[1,3,4,2]=>([(1,3),(2,3)],4)=>([(0,2),(1,2)],3)=>0
[1,4,2,3]=>([(1,3),(2,3)],4)=>([(0,2),(1,2)],3)=>0
[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)=>1
[2,1,3,4]=>([(2,3)],4)=>([(0,2),(1,2)],3)=>0
[2,1,4,3]=>([(0,3),(1,2)],4)=>([],4)=>0
[2,3,1,4]=>([(1,3),(2,3)],4)=>([(0,2),(1,2)],3)=>0
[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>([],2)=>0
[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>0
[3,1,2,4]=>([(1,3),(2,3)],4)=>([(0,2),(1,2)],3)=>0
[3,2,1,4]=>([(1,2),(1,3),(2,3)],4)=>([(0,3),(1,3),(2,3)],4)=>1
[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>0
[3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4)=>([],2)=>0
[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],3)=>0
[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>([],2)=>0
[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>0
[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>([(1,3),(2,3)],4)=>0
[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],3)=>0
[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],3)=>0
[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>([],4)=>0
[1,2,3,4,5]=>([],5)=>([],1)=>0
[1,2,3,5,4]=>([(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,2,4,3,5]=>([(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,2,4,5,3]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,2,5,3,4]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[1,3,2,4,5]=>([(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,3,2,5,4]=>([(1,4),(2,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,2,5]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,2,3,5]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(1,2)],3)=>0
[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,4,5]=>([(3,4)],5)=>([(0,2),(1,2)],3)=>0
[2,1,3,5,4]=>([(1,4),(2,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,3,5]=>([(1,4),(2,3)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,5,3]=>([(0,1),(2,4),(3,4)],5)=>([],4)=>0
[2,1,5,3,4]=>([(0,1),(2,4),(3,4)],5)=>([],4)=>0
[2,1,5,4,3]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([],5)=>0
[2,3,1,4,5]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[2,3,1,5,4]=>([(0,1),(2,4),(3,4)],5)=>([],4)=>0
[2,3,4,1,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([],2)=>0
[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[2,4,1,3,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,3,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3)],5)=>0
[3,1,2,4,5]=>([(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[3,1,2,5,4]=>([(0,1),(2,4),(3,4)],5)=>([],4)=>0
[3,1,4,2,5]=>([(1,4),(2,3),(3,4)],5)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,2,1,4,5]=>([(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[3,2,1,5,4]=>([(0,1),(2,3),(2,4),(3,4)],5)=>([],5)=>0
[3,2,4,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([],5)=>0
[3,4,1,2,5]=>([(1,3),(1,4),(2,3),(2,4)],5)=>([(0,2),(1,2)],3)=>0
[3,4,2,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],2)=>0
[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],3)=>0
[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3)],5)=>0
[3,5,4,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(2,3)],4)=>0
[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[4,1,2,3,5]=>([(1,4),(2,4),(3,4)],5)=>([(0,2),(1,2)],3)=>0
[4,1,3,2,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,1,3,5,2]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3)],5)=>0
[4,2,1,3,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,3,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[4,3,1,2,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,3),(1,3),(2,3)],4)=>1
[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,3)],5)=>0
[4,3,2,1,5]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,3,5,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(2,3)],4)=>0
[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[4,5,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>([],2)=>0
[4,5,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(2,3)],4)=>0
[4,5,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>([(1,3),(2,3)],4)=>0
[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([],3)=>0
[4,5,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([],3)=>0
[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],4)=>0
[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5)=>([],2)=>0
[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,1,3,4,2]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>([],5)=>0
[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],3)=>0
[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(1,3),(2,3)],4)=>0
[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>([],3)=>0
[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],4)=>0
[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],3)=>0
[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([(2,4),(3,4)],5)=>0
[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],4)=>0
[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],4)=>0
[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>([],5)=>0
[1,2,3,4,5,6]=>([],6)=>([],1)=>0
[1,2,3,4,6,5]=>([(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,3,5,4,6]=>([(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,4,3,5,6]=>([(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,4,5,6]=>([(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,4,5,6]=>([(4,5)],6)=>([(0,2),(1,2)],3)=>0
[2,1,3,4,6,5]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,5,4,6]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,4,3,5,6]=>([(2,5),(3,4)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,3,6,5]=>([(0,5),(1,4),(2,3)],6)=>([],6)=>0
[2,1,4,5,3,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,5,6,3]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([],4)=>0
[2,1,4,6,5,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,1,5,3,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,5,4,3,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,5,4,6,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,1,5,6,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([],4)=>0
[2,1,5,6,4,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[2,1,6,3,4,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([],4)=>0
[2,1,6,3,5,4]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,1,6,4,3,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,1,6,4,5,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[2,1,6,5,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[2,1,6,5,4,3]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[2,3,1,4,5,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[2,3,1,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([],4)=>0
[2,3,1,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([],4)=>0
[2,3,1,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([],5)=>0
[2,3,4,1,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[2,3,4,1,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([],4)=>0
[2,3,4,5,1,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([],2)=>0
[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,3,5,1,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,3,5,4,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,3,6,4,1,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,3,6,5,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[2,4,1,3,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,3,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,4,3,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,4,5,1,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,5,3,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,4,6,1,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(3,4),(4,5)],6)=>0
[2,4,6,3,1,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,1,3,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,5,1,4,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,5,3,1,4,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,5,3,4,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,5,3,6,1,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,5,4,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,5,6,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[2,6,3,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[2,6,3,4,1,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[2,6,3,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,6,3,5,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,4,5,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[3,1,2,4,5,6]=>([(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[3,1,2,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([],4)=>0
[3,1,2,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>([],4)=>0
[3,1,2,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([],5)=>0
[3,1,4,2,5,6]=>([(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,1,4,5,2,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,1,5,4,2,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,1,4,5,6]=>([(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[3,2,1,4,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,5,4,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,5,6,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([],5)=>0
[3,2,1,6,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>([],5)=>0
[3,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>([],6)=>0
[3,2,4,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[3,2,4,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[3,2,5,1,4,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,5,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([],6)=>0
[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[3,4,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[3,4,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>([],4)=>0
[3,4,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,2,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,2,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[3,4,2,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[3,4,5,1,2,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[3,4,5,2,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)=>0
[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)=>0
[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[3,5,1,2,4,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,5,1,4,2,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,1,4,6,2]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,5,2,1,4,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,5,4,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,5,4,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,5,4,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,5,4,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[3,5,6,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[3,5,6,4,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[3,6,4,5,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[3,6,5,1,4,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[4,1,2,3,5,6]=>([(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[4,1,2,3,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>([],4)=>0
[4,1,2,5,3,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,3,2,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,1,3,2,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[4,1,3,5,2,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[4,1,3,5,6,2]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,1,3,6,5,2]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[4,1,5,2,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,5,2,6,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,1,5,3,6,2]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[4,1,5,6,3,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,1,6,2,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(3,4),(4,5)],6)=>0
[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[4,2,1,3,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,1,3,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[4,2,1,5,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>([],6)=>0
[4,2,3,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[4,2,3,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[4,2,3,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[4,2,5,1,3,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(3,4),(4,5)],6)=>0
[4,2,5,3,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>([(3,4),(4,5)],6)=>0
[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>([],6)=>0
[4,3,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[4,3,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[4,3,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,3,2,1,5,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,3,2,1,6,5]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[4,3,5,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,3,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,3,5,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,3,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],5)=>0
[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[4,5,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,2),(1,2)],3)=>0
[4,5,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,5,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[4,5,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,3,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>([],2)=>0
[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,1,5,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,6,3,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[4,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[4,6,5,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,5,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[5,1,2,3,4,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>([(0,2),(1,2)],3)=>0
[5,1,2,4,3,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,2,4,6,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,2,6,4,3]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,1,3,2,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,3,4,2,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,3,4,6,2]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,3,6,2,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,1,3,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,1,4,2,3,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,1,6,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,1,6,3,4,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,1,6,4,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,2,1,3,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,2,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,2,1,4,6,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[5,2,3,1,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,2,3,4,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[5,2,4,1,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,4,3,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[5,3,1,2,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,3,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,3,1,4,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,3,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,3,4,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[5,3,4,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,3,4,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,3,4,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,3,6,2,1,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[5,4,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,3),(1,3),(2,3)],4)=>1
[5,4,1,2,6,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,4,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,3)],5)=>0
[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[5,4,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,4,2,6,1,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[5,4,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,4,3,2,1,6]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,4,6,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[5,4,6,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,6,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,4,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],2)=>0
[5,6,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],5)=>0
[5,6,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,6,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>([(1,3),(2,3)],4)=>0
[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,6,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>([],3)=>0
[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[5,6,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[5,6,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,6,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[5,6,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>([],2)=>0
[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,2,4,5,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,2,5,3,4]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,3,4,2,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,3,4,5,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,3,5,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,1,3,5,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,1,4,2,3,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,4,2,5,3]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,1,4,3,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,1,4,5,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,5,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,1,5,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,2,1,4,5,3]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[6,2,3,1,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,2,3,4,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)=>0
[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[6,3,1,2,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[6,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,4,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,3),(2,3)],4)=>0
[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([],3)=>0
[6,4,5,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,4,5,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,5,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],3)=>0
[6,5,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(2,4),(3,4)],5)=>0
[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],4)=>0
[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([(3,5),(4,5)],6)=>0
[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],5)=>0
[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>([],6)=>0
[1,2,3,4,5,6,7]=>([],7)=>([],1)=>0
[1,2,3,4,5,7,6]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,4,6,5,7]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,4,6,7,5]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,3,5,4,6,7]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,3,5,6,4,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,5,6,7,4]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,5,7,4,6]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,3,5,7,6,4]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,6,4,7,5]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,3,6,5,7,4]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,6,7,5,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,3,5,6,7]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,3,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,2,4,5,3,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,4,5,3,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,4,5,6,3,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,4,5,7,3,6]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,4,5,7,6,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,4,6,3,5,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,4,6,5,3,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,4,6,5,7,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,4,6,7,3,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,4,6,7,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,4,7,3,5,6]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,4,7,3,6,5]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,2,4,7,5,3,6]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,2,4,7,5,6,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,4,7,6,3,5]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,5,3,6,4,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,5,3,6,7,4]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,5,3,7,6,4]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,2,5,4,6,3,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,4,6,7,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,4,7,3,6]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,2,5,4,7,6,3]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,5,6,3,7,4]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,5,6,4,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,5,6,4,7,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,6,7,3,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,5,7,4,3,6]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,5,7,4,6,3]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,5,7,6,3,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,5,7,6,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,6,3,4,7,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,3,5,7,4]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,2,6,3,7,5,4]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,4,3,7,5]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,4,5,7,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,6,4,7,5,3]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,5,3,7,4]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,6,5,7,3,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,5,7,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,6,7,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,6,7,4,5,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,6,7,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,7,4,6,5,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,2,7,5,4,6,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,7,5,6,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,7,5,6,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,7,6,4,5,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,2,4,5,6,7]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,6,7,5,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,4,2,5,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,3,4,2,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,2,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,2,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,2,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,3,4,5,2,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,3,4,5,2,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,3,4,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,3,4,5,7,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,4,5,7,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,4,6,2,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,4,6,5,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,4,6,5,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,4,6,7,2,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,4,6,7,5,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,4,7,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,4,7,2,6,5]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,4,7,5,2,6]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,4,7,5,6,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,4,7,6,2,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,5,2,4,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,4,2,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,4,6,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,4,6,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,6,2,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,6,4,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,6,4,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,5,6,7,2,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,5,6,7,4,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,2,4,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,6,2,5,4,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,6,4,2,5,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,6,4,5,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,4,5,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,5,2,4,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,6,7,2,4,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,6,7,2,5,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,6,7,4,2,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,6,7,4,5,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,6,7,5,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,7,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,3,7,2,5,6,4]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,7,2,6,4,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,3,7,4,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,7,4,5,2,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,3,7,4,5,6,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,3,7,5,6,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,7,6,2,4,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,2,3,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,2,5,3,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,2,5,6,3,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,2,5,6,7,3]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,2,6,5,3,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,2,6,7,5,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,2,7,5,6,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,5,2,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,3,5,6,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,3,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,3,6,2,5,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,6,5,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,6,7,2,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,6,7,5,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,3,7,2,5,6]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,3,7,5,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,4,5,2,6,3,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,5,2,6,7,3]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,5,2,7,6,3]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,5,3,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,5,3,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,5,3,6,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,3,6,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,3,7,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,5,3,7,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,4,5,6,2,3,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,4,5,6,2,7,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,5,6,3,7,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,6,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,4,5,6,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,4,5,7,2,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,5,7,2,6,3]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,5,7,3,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,5,7,3,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,5,7,6,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,5,7,6,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,3,2,5,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,3,5,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,5,2,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,6,5,3,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,6,5,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,6,5,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,6,7,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,6,7,2,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,7,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,7,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,6,7,5,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,6,7,5,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,7,3,2,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,7,3,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,4,7,5,2,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,4,7,5,6,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,4,7,5,6,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,7,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,5,2,3,6,4,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,3,7,6,4]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,2,4,6,3,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,5,2,4,6,7,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,6,4,3,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,2,6,7,3,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,2,6,7,4,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,2,7,6,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,2,6,4,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,3,2,6,7,4]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,5,3,4,6,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,4,6,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,3,4,7,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,3,4,7,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,3,6,4,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,3,6,7,2,4]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,3,6,7,4,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,5,4,2,6,3,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,4,2,6,7,3]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,5,4,6,2,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,4,6,3,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,4,6,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,4,6,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,4,7,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,4,7,6,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,5,6,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,5,6,2,3,7,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,2,4,7,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,5,6,2,7,3,4]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,6,2,7,4,3]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,3,2,7,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,5,6,3,4,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,3,4,7,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,3,7,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,6,3,7,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,4,2,7,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,6,4,3,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,5,6,4,7,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,4,7,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(1,2)],3)=>0
[1,5,6,7,2,4,3]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,7,3,2,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,6,7,3,4,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,7,4,2,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,5,6,7,4,3,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,5,7,2,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,5,7,2,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,2,6,3,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,3,4,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,3,4,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,4,6,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,5,7,6,3,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,7,6,4,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,6,2,3,4,7,5]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,3,5,7,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,6,2,3,7,5,4]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,4,5,7,3]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,2,5,7,3,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[1,6,2,7,3,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[1,6,2,7,4,5,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,4,2,7,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,3,4,5,7,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,4,7,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,5,4,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,3,7,2,4,5]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,3,7,4,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,4,2,3,7,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,4,3,5,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,5,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,4,5,2,7,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,4,5,3,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,4,5,7,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,4,5,7,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,7,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,4,7,5,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,5,2,3,7,4]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,2,7,3,4]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,3,4,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,5,7,3,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,7,4,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[1,6,7,2,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,2,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,2,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,3,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,3,4,5,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,7,3,5,4,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,7,4,2,3,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,6,7,4,3,5,2]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,7,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,7,5,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,6,7,5,2,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,7,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,7,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,6,7,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,5,6,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,2,6,3,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,3,4,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,3,4,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,3,5,4,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,3,5,6,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,3,5,6,4,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,3,6,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,3,6,4,5,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,4,3,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,4,5,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,4,5,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,4,5,3,6,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,4,5,6,2,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,7,4,5,6,3,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,4,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,4,6,5,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,5,2,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[1,7,5,2,3,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,5,2,6,3,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,7,5,3,4,6,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,5,4,6,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,7,5,6,2,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,5,6,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[1,7,6,2,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,2,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,2,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,3,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,3,4,5,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,6,4,2,3,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,6,5,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[1,7,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[1,7,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,4,5,6,7]=>([(5,6)],7)=>([(0,2),(1,2)],3)=>0
[2,1,3,4,5,7,6]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,4,6,5,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,5,4,6,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,6,7,5,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,3,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,3,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,4,3,5,6,7]=>([(3,6),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,3,6,7,5]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[2,1,4,3,7,5,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[2,1,4,5,3,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,5,3,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[2,1,4,5,6,3,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,4,5,6,7,3]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[2,1,4,5,7,6,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,4,6,5,7,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,4,6,7,5,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,4,7,5,6,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,5,3,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,5,3,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[2,1,5,4,3,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,5,4,6,7,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,5,6,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,5,6,4,3,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,5,6,4,7,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,5,6,7,3,4]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],4)=>0
[2,1,5,6,7,4,3]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[2,1,5,7,6,3,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,6,3,4,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,1,6,4,5,3,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,6,4,5,7,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,6,5,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,1,6,5,7,3,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,6,7,3,4,5]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],4)=>0
[2,1,6,7,3,5,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,6,7,4,3,5]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,6,7,4,5,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[2,1,6,7,5,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[2,1,6,7,5,4,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[2,1,7,3,4,5,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[2,1,7,3,4,6,5]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,3,5,4,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,3,5,6,4]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,3,6,4,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,4,3,5,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,4,5,3,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,4,5,6,3]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[2,1,7,5,3,4,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,1,7,5,6,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[2,1,7,5,6,4,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[2,1,7,6,3,4,5]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[2,1,7,6,4,5,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[2,1,7,6,5,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[2,3,1,4,5,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[2,3,1,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,3,1,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[2,3,1,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[2,3,1,5,7,6,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,1,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,3,1,6,5,7,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,1,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([],4)=>0
[2,3,1,6,7,5,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[2,3,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[2,3,1,7,4,6,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,1,7,5,4,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,1,7,5,6,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[2,3,1,7,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[2,3,1,7,6,5,4]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[2,3,4,1,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[2,3,4,1,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,4,1,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[2,3,4,1,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[2,3,4,1,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[2,3,4,1,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([],5)=>0
[2,3,4,5,1,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[2,3,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[2,3,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],2)=>0
[2,3,4,5,7,6,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,4,6,1,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,3,4,6,5,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,4,6,5,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,4,6,7,5,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,4,7,5,1,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,3,4,7,5,6,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,4,7,6,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,3,5,1,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,3,5,4,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,5,4,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,5,4,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,5,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,5,6,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,3,5,6,4,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,5,6,4,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,5,6,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,5,7,1,4,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,3,5,7,1,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[2,3,5,7,4,1,6]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,3,5,7,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,3,5,7,6,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,3,5,7,6,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,3,6,1,4,5,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,3,6,1,5,4,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,3,6,4,1,5,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,3,6,4,5,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,3,6,4,5,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,6,4,7,1,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,3,6,4,7,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,3,6,5,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,3,6,5,7,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,3,6,5,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,3,6,7,4,1,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,3,6,7,4,5,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,6,7,5,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,3,7,4,1,5,6]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,3,7,4,1,6,5]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,3,7,4,5,1,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,3,7,4,5,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,3,7,4,6,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,3,7,4,6,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,3,7,5,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,3,7,5,6,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,3,7,6,1,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,3,7,6,1,5,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,4,1,3,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,3,1,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,1,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,4,3,1,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,4,3,5,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,4,3,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,4,5,1,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,5,3,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,5,3,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,4,5,3,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,5,3,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,4,5,6,1,3,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,4,5,6,3,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,4,5,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,4,5,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,4,5,7,1,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,4,5,7,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[2,4,5,7,3,1,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,4,5,7,3,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,5,7,6,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,4,5,7,6,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,4,6,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,6,5,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,4,6,5,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,4,6,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,4,6,7,1,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[2,4,6,7,3,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,4,6,7,3,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,6,7,5,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,4,6,7,5,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,4,7,1,3,5,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,4,7,1,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[2,4,7,3,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,4,7,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,4,7,5,6,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,1,3,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,5,1,4,3,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,5,3,1,4,6,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,5,3,4,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,5,3,4,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,5,3,4,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,5,3,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,5,3,6,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,5,3,6,7,1,4]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,5,3,6,7,4,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,5,4,1,3,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,5,4,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,4,6,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,5,4,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,6,1,3,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,5,6,1,4,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,5,6,3,1,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,5,6,3,4,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,5,6,3,4,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,5,6,3,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,5,6,3,7,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,5,6,4,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,5,6,4,7,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,5,6,4,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,5,6,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,5,6,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,5,6,7,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,5,7,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[2,5,7,1,6,3,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[2,5,7,3,4,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,5,7,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,5,7,6,1,3,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,5,7,6,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,1,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[2,6,1,4,5,3,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,6,1,5,3,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[2,6,3,1,4,5,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,6,3,4,1,5,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[2,6,3,4,5,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[2,6,3,4,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,6,3,4,7,1,5]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,6,3,4,7,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,6,3,5,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,3,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,6,3,7,4,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,6,4,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,4,5,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,6,4,5,7,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,6,4,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,5,1,3,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[2,6,5,7,1,3,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[2,6,5,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,7,3,1,4,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,6,7,3,1,5,4]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,6,7,3,4,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,6,7,3,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,6,7,3,5,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,7,4,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,6,7,4,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,6,7,4,5,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,6,7,5,1,3,4]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,6,7,5,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,3,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,7,3,1,5,6,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,3,1,6,4,5]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,3,4,1,5,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,7,3,4,1,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,3,4,5,1,6]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[2,7,3,4,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[2,7,3,4,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,7,3,4,6,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,3,5,4,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,3,5,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,7,3,5,6,4,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,3,6,1,4,5]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[2,7,3,6,4,5,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,4,1,3,5,6]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,7,4,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,4,5,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,7,4,5,3,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,4,5,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,7,5,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[2,7,5,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[2,7,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,7,5,6,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,6,1,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[2,7,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,1,2,4,5,6,7]=>([(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[3,1,2,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,1,2,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>([],6)=>0
[3,1,2,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[3,1,2,5,7,6,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,1,2,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,1,2,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,1,2,6,5,7,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,1,2,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([],4)=>0
[3,1,2,6,7,5,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[3,1,2,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[3,1,2,7,4,6,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,1,2,7,5,4,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,1,2,7,5,6,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[3,1,2,7,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[3,1,2,7,6,5,4]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,1,4,2,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,1,4,5,2,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,1,4,5,6,2,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,1,5,4,2,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,1,5,6,4,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,1,6,4,5,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,1,4,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[3,2,1,4,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,4,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,4,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,4,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,5,4,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,5,6,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([],5)=>0
[3,2,1,6,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>([],5)=>0
[3,2,1,6,7,5,4]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([],5)=>0
[3,2,1,7,5,6,4]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,1,7,6,4,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,4,1,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,1,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,4,1,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,4,5,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[3,2,5,1,4,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,5,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,5,6,1,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,5,6,4,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,5,6,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[3,2,6,1,4,5,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,2,6,4,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,2,6,7,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,6,7,4,1,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,6,7,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[3,2,6,7,5,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,7,1,5,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[3,2,7,1,6,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[3,2,7,4,1,5,6]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,7,4,5,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,2,7,4,5,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[3,2,7,5,6,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,2,7,6,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,4,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[3,4,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,4,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[3,4,1,2,6,7,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([],4)=>0
[3,4,1,2,7,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>([],4)=>0
[3,4,1,2,7,6,5]=>([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>([],5)=>0
[3,4,1,5,2,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,1,5,6,2,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,1,6,5,2,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,4,2,1,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,2,1,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,4,2,1,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,4,2,1,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[3,4,2,1,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[3,4,2,1,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[3,4,2,5,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,4,2,5,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,4,2,5,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,4,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,2,6,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,4,2,6,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[3,4,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[3,4,2,7,1,6,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[3,4,2,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,4,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[3,4,2,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[3,4,5,1,2,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[3,4,5,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],4)=>0
[3,4,5,1,6,2,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,5,2,1,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,5,2,1,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[3,4,5,2,6,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,4,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[3,4,5,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[3,4,5,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[3,4,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,5,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>0
[3,4,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>0
[3,4,5,7,2,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,4,5,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,5,7,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,4,6,1,2,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,6,1,5,2,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,4,6,1,5,7,2]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,4,6,2,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,4,6,2,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,4,6,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,4,6,5,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,4,6,5,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,4,6,5,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,4,6,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,4,6,5,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,6,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,4,6,7,2,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,4,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,6,7,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,4,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,4,7,2,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,4,7,5,1,2,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[3,4,7,5,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[3,4,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,4,7,5,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,4,7,6,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,4,7,6,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,4,7,6,2,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[3,4,7,6,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,5,1,2,4,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,5,1,4,2,6,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,1,4,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,5,2,1,4,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,2,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,5,4,1,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,5,4,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[3,5,4,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,5,4,2,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,4,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,5,4,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,5,4,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,5,4,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,5,4,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,5,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,5,6,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,5,6,1,4,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,6,1,4,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,5,6,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,6,2,4,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,5,6,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,5,6,4,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,5,6,4,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,5,6,4,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,6,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,5,6,4,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,5,6,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,5,6,7,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,5,6,7,4,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,5,6,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,5,7,1,2,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[3,5,7,1,2,6,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[3,5,7,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[3,5,7,4,6,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,5,7,6,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,5,7,6,4,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,6,1,2,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,6,1,2,5,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[3,6,1,4,5,2,7]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,6,1,4,5,7,2]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,2,1,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,6,2,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,6,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,6,4,1,2,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[3,6,4,5,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,6,4,5,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,6,4,5,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,6,4,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,6,4,5,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,6,4,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,6,4,7,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,4,7,5,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[3,6,5,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[3,6,5,7,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[3,6,5,7,4,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,6,7,1,4,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,7,2,1,4,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,6,7,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,6,7,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[3,6,7,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[3,6,7,4,5,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,6,7,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,6,7,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,6,7,5,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,6,7,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[3,6,7,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,7,1,4,2,5,6]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,7,1,4,5,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,7,2,4,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,7,2,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,7,4,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[3,7,4,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,7,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[3,7,4,5,1,2,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[3,7,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[3,7,4,5,6,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[3,7,4,5,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[3,7,4,6,1,2,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[3,7,4,6,5,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,7,5,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[3,7,5,4,6,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[3,7,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,7,5,6,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[3,7,5,6,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,7,6,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[3,7,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[3,7,6,1,4,5,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[3,7,6,2,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,1,2,3,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[4,1,2,3,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,1,2,3,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,1,2,3,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[4,1,2,3,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>([],4)=>0
[4,1,2,3,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>([],5)=>0
[4,1,2,5,3,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,2,5,6,3,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,2,6,5,3,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,1,3,2,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,1,3,2,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,1,3,2,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,1,3,5,2,6,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[4,1,3,5,6,2,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[4,1,3,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,1,3,6,7,5,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,1,3,7,5,6,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,1,5,2,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,5,2,6,7,3]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[4,1,5,3,2,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,1,5,3,6,7,2]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[4,1,5,6,2,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,1,5,6,2,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[4,1,5,6,3,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,1,5,6,3,7,2]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[4,1,5,6,7,3,2]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,1,6,5,2,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,1,6,7,2,5,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[4,1,6,7,5,3,2]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,1,7,2,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[4,1,7,5,6,3,2]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,2,1,3,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,1,3,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,2,1,3,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,2,1,5,3,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,2,1,5,6,3,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,2,1,6,7,5,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,2,1,7,5,6,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,2,3,1,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,2,3,1,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,1,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,1,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[4,2,3,1,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[4,2,3,1,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,2,3,5,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,3,5,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,2,3,5,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,2,3,6,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,2,3,6,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[4,2,3,7,1,6,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,2,3,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,2,3,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[4,2,3,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,2,5,1,3,6,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[4,2,5,3,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,2,5,6,1,3,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,6,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[4,2,5,6,3,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,2,5,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,2,6,7,1,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[4,2,6,7,1,5,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[4,2,7,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>([],6)=>0
[4,3,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,3,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,3,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,3,1,2,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[4,3,1,2,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>([],5)=>0
[4,3,1,2,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,1,5,2,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,3,1,5,6,2,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,3,2,1,5,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,3,2,1,6,7,5]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,2,1,7,5,6]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[4,3,5,1,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,3,5,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[4,3,5,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,3,5,2,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,3,5,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,3,5,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,3,5,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,3,5,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,3,6,1,2,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,3,6,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[4,3,6,7,2,1,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,3,6,7,5,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,7,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,3,7,5,1,2,6]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,3,7,5,6,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,3,7,6,5,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[4,5,1,2,3,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[4,5,1,2,3,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],4)=>0
[4,5,1,2,6,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,5,1,3,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,1,3,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[4,5,1,3,6,2,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[4,5,1,3,6,7,2]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,5,1,3,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,5,1,6,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,5,1,6,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[4,5,1,6,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,5,1,6,3,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[4,5,1,6,7,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,1,7,2,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[4,5,1,7,6,3,2]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,5,2,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,2,1,3,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,5),(4,5)],6)=>0
[4,5,2,1,6,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[4,5,2,1,7,6,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],6)=>0
[4,5,2,3,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,2,3,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[4,5,2,3,6,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[4,5,2,6,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,5,2,6,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[4,5,2,6,3,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,5,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,5,2,7,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[4,5,2,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[4,5,3,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,3,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[4,5,3,1,6,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,5,3,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,3,2,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,5,3,2,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,5,3,6,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,3,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,5,3,6,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,5,3,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,5,3,7,2,1,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,5,3,7,6,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[4,5,6,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(0,2),(1,2)],3)=>0
[4,5,6,1,3,2,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,6,1,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,5,6,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,6,2,1,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,5,6,2,3,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,6,3,1,2,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[4,5,6,3,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,6,3,2,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[4,5,6,3,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,5,6,7,1,2,3]=>([(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)=>([],2)=>0
[4,5,6,7,1,3,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,6,7,2,1,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[4,5,6,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[4,5,7,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,5,7,1,6,3,2]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,5,7,2,1,3,6]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,5,7,2,3,1,6]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,7,3,1,2,6]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,5,7,6,1,2,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[4,5,7,6,1,3,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,5,7,6,2,1,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,5,7,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,5,7,6,3,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,6,1,2,3,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[4,6,1,2,5,3,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,1,2,5,7,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,6,1,5,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,1,5,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,6,2,3,1,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,2,3,5,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,6,3,1,2,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,3,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[4,6,3,5,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,6,5,1,2,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,6,5,1,2,7,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,5,2,3,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,6,5,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,6,5,3,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,6,5,3,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[4,6,5,7,1,2,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[4,6,5,7,1,3,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,5,7,2,1,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,6,5,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,6,7,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,7,1,5,3,2]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,6,7,2,1,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,6,7,2,3,1,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,6,7,3,1,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,6,7,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,6,7,5,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,7,5,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,6,7,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,6,7,5,3,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,7,1,2,5,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,7,1,3,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,7,1,5,2,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,7,1,5,6,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,7,2,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[4,7,2,3,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,7,2,3,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,7,3,1,2,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,7,3,5,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[4,7,5,1,2,3,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[4,7,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[4,7,5,3,6,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[4,7,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[4,7,5,6,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,7,5,6,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,7,5,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,7,5,6,3,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[4,7,6,1,2,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[4,7,6,1,2,5,3]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,7,6,1,5,2,3]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,7,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,7,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[4,7,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[4,7,6,3,5,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,1,2,3,4,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[5,1,2,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[5,1,2,3,6,4,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[5,1,2,4,3,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,2,4,3,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,2,4,6,3,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[5,1,2,4,6,7,3]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,2,4,7,6,3]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,2,6,3,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[5,1,2,6,3,7,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[5,1,2,6,4,3,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,1,2,6,4,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,1,2,6,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,1,2,7,3,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[5,1,2,7,6,4,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,3,2,4,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,3,2,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,3,4,2,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,3,4,2,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,3,4,6,2,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[5,1,3,4,6,7,2]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,3,4,7,6,2]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,3,6,7,2,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,1,3,6,7,4,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,1,4,2,3,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,1,4,2,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,1,4,6,2,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2
[5,1,4,6,7,2,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,1,4,7,6,2,3]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,6,2,3,4,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[5,1,6,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[5,1,6,3,4,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,1,6,3,4,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,1,6,4,2,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,1,6,4,7,2,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,1,6,7,2,4,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,1,6,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,1,6,7,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,1,6,7,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,1,7,2,3,6,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[5,1,7,2,6,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[5,1,7,6,3,4,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,1,7,6,4,2,3]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,2,1,3,4,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,2,1,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,2,1,4,3,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,2,1,4,6,7,3]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,2,1,6,3,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[5,2,1,7,6,3,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>([],6)=>0
[5,2,3,1,4,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,2,3,1,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,2,3,1,6,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[5,2,3,1,7,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[5,2,3,4,1,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,2,3,4,1,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[5,2,3,4,6,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,2,3,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,2,3,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[5,2,3,6,1,4,7]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,3,6,1,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[5,2,3,6,4,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,3,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[5,2,3,7,1,4,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>([],6)=>0
[5,2,4,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,4,3,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,4,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,2,4,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[5,2,6,1,3,4,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,6,1,7,3,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[5,2,6,3,4,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,2,6,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[5,2,6,7,4,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,2,7,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[5,2,7,1,6,3,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[5,3,1,2,4,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,3,1,2,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,3,1,2,6,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>2
[5,3,1,2,7,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[5,3,1,4,2,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,3,1,4,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,3,2,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,3,4,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,3,4,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[5,3,4,1,6,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,3,4,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,3,4,2,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,3,4,2,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,3,4,6,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,3,4,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,3,4,6,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,3,4,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,3,4,7,2,1,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,3,4,7,6,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,3,6,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,3,6,1,2,7,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>([(3,4),(4,5)],6)=>0
[5,3,6,4,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,3,6,4,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[5,3,6,7,2,1,4]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,3,7,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>([(3,4),(4,5)],6)=>0
[5,3,7,1,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[5,4,1,2,3,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,4,1,2,3,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[5,4,1,2,6,3,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,4,1,3,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,1,6,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,4,1,6,7,2,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,4,1,6,7,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,2,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,4,2,3,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,4,2,3,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,4,2,6,7,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,4,3,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,4,3,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[5,4,3,2,1,6,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,4,3,7,6,1,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[5,4,6,1,2,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,4,6,1,2,7,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,4,6,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,4,6,2,3,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,4,6,3,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,6,3,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,4,6,7,1,2,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[5,4,6,7,1,3,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,6,7,2,1,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,4,6,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,4,7,2,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,4,7,3,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,4,7,6,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],5)=>0
[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[5,4,7,6,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[5,6,1,2,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,2),(1,2)],3)=>0
[5,6,1,2,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,1,2,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,6,1,2,7,4,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,1,3,2,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,1,3,4,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,1,3,4,7,2]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,6,1,3,7,2,4]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,6,1,3,7,4,2]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,6,1,4,2,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,1,4,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[5,6,1,4,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[5,6,1,7,2,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,6,1,7,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,6,1,7,3,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,1,7,4,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,2,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,2,1,4,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,6,2,1,4,7,3]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,6,2,3,1,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,2,3,4,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,6,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,2,4,1,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,6,2,4,3,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,6,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,6,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[5,6,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,6,3,1,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[5,6,3,1,4,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[5,6,3,1,4,7,2]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[5,6,3,2,4,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[5,6,3,4,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,6,3,4,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,3,4,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,6,3,4,7,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,3,7,2,1,4]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,6,4,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[5,6,4,1,2,7,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,4,1,3,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,6,4,1,7,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,6,4,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,6,4,2,1,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,6,4,2,1,7,3]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,6,4,2,3,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,6,4,2,7,1,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,6,4,3,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[5,6,4,3,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[5,6,4,7,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,4,7,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,6,4,7,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,4,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,6,7,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],2)=>0
[5,6,7,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,1,3,4,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,1,4,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>([],5)=>0
[5,6,7,2,3,1,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[5,6,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,7,3,1,2,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,7,3,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>0
[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[5,6,7,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[5,6,7,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,7,4,2,1,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[5,6,7,4,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[5,7,1,2,4,3,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,1,2,6,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,1,3,2,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,1,3,4,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,1,4,2,3,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,1,6,3,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,1,6,4,2,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,2,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,2,3,1,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,2,3,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,7,3,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[5,7,3,4,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,4,1,2,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,4,3,6,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[5,7,6,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[5,7,6,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,1,3,4,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,1,4,2,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,2,3,1,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,7,6,3,1,2,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[5,7,6,3,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,7,6,4,1,2,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[5,7,6,4,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,1,2,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([(0,2),(1,2)],3)=>0
[6,1,2,3,5,4,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,2,3,5,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,2,3,7,5,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,1,2,4,3,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,2,4,5,3,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,2,4,5,7,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,2,4,7,3,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,2,4,7,5,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,2,5,3,4,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,2,5,3,7,4]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[6,1,2,5,7,3,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,2,7,3,5,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,2,7,4,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,2,7,4,5,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,1,2,7,5,3,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,1,3,2,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,3,4,2,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,3,4,5,2,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,3,4,5,7,2]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,3,4,7,2,5]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,3,4,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,3,7,2,4,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,3,7,4,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,4,2,3,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,4,5,2,3,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,4,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,4,7,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,4,7,5,2,3]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,1,5,2,3,4,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,1,5,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[6,1,5,2,7,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0
[6,1,5,7,2,3,4]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(2,4)],5)=>0
[6,1,7,2,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,2,4,3,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,2,4,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,2,5,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,3,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,3,4,2,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,3,4,5,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,1,7,4,2,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(0,5),(1,5),(2,3),(5,4)],6)=>1
[6,1,7,4,5,2,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,1,7,5,2,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,2,1,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,2,1,4,5,3,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,2,1,4,5,7,3]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,2,1,5,3,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,2,1,5,7,3,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,2,3,1,4,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,2,3,1,5,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,2,3,1,5,7,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,2,3,4,1,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,2,3,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[6,2,3,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[6,2,3,5,1,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,2,3,5,4,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,3,5,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,3,5,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,2,3,7,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,2,4,3,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,4,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,4,5,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,2,4,5,3,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,4,5,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,4,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,2,5,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,2,5,3,4,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,5,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,2,5,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,2,7,4,5,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,2,7,5,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,3,1,2,4,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,3,1,2,5,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,3,1,2,5,7,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,3,1,4,5,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,3,1,4,5,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,3,2,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,3,4,1,2,5,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,3,4,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,3,4,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,3,4,2,5,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,3,4,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[6,3,4,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,3,4,5,2,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,3,4,5,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,3,4,7,2,1,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,3,5,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,3,5,4,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,5,4,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,3,5,7,4,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,3,7,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,3,7,5,4,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,1,2,3,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[6,4,1,2,5,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,4,1,2,5,7,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,4,1,5,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[6,4,1,5,7,2,3]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,3),(2,4),(4,5)],6)=>0
[6,4,2,3,5,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,4,3,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,3,5,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,4,5,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[6,4,5,1,2,7,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,4,5,1,3,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,5,1,7,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,4,5,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,4,5,2,1,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,5,2,1,7,3]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,4,5,2,3,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,4,5,2,7,1,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,5,3,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,4,5,3,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,4,5,7,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[6,4,5,7,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,4,5,7,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,4,5,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,4,7,2,3,1,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,4,7,3,1,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,1,2,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,3),(1,3),(2,3)],4)=>1
[6,5,1,2,3,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,5,1,2,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,1,2,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,5,1,2,7,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,1,3,2,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,1,3,4,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,1,4,2,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,1,7,2,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,3)],5)=>0
[6,5,1,7,3,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,1,7,4,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,2,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,2,1,7,3,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,5,2,3,1,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,2,3,1,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,5,2,3,4,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,5,2,3,7,1,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,2,7,1,3,4]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,3,1,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,5,3,1,2,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,5,3,4,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,5,3,4,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,5,3,7,1,2,4]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,3,7,4,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,5,4,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,4),(1,4),(2,4),(3,4)],5)=>2
[6,5,4,2,3,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,5,4,3,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[6,5,7,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[6,5,7,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,1,3,4,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,1,4,2,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,2,3,1,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,5,7,3,1,2,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>([(0,5),(1,5),(2,4),(3,4)],6)=>0
[6,5,7,3,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,5,7,4,1,2,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,5,7,4,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],2)=>0
[6,7,1,2,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,2,4,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,2,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,2,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,3,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,3,4,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,3,4,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,3,5,2,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,7,1,3,5,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,1,4,2,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,4,2,5,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,7,1,4,3,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,1,4,5,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,5,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,1,5,2,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,1,5,3,2,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,2,1,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,2,1,4,5,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[6,7,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[6,7,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[6,7,2,3,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,2,3,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[6,7,2,3,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[6,7,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,2,4,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,7,2,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,7,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,7,3,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,3,1,2,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],5)=>0
[6,7,3,1,4,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[6,7,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([],6)=>0
[6,7,3,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[6,7,3,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>0
[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[6,7,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,7,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,4,1,2,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,3),(2,3)],4)=>0
[6,7,4,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,4,1,3,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[6,7,4,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,7,4,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,4,3,1,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[6,7,4,3,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([],3)=>0
[6,7,4,5,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,4,5,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[6,7,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[6,7,5,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[6,7,5,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,1,3,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[6,7,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[6,7,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[6,7,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[6,7,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,1,2,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>([],2)=>0
[7,1,2,3,4,6,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,3,5,4,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,3,5,6,4]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,3,6,4,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,4,3,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,4,5,3,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,4,5,6,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,4,6,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,2,4,6,5,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,2,5,3,4,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,5,3,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,2,5,4,6,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,2,5,6,3,4]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,6,3,4,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,2,6,3,5,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,2,6,4,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,3,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,3,4,2,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,3,4,5,2,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,3,4,5,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,3,4,6,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,3,4,6,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,3,5,2,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,3,5,4,2,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,3,5,4,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,3,5,6,2,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,3,5,6,4,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,3,6,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,3,6,4,5,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,4,2,3,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,4,2,5,3,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,4,2,5,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,4,3,5,2,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,4,3,5,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,4,5,2,3,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,4,5,2,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,4,5,3,6,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,4,5,6,2,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,4,6,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,4,6,5,2,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,2,3,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,5,2,3,6,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,5,2,4,3,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,2,6,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,1,5,3,2,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,3,4,6,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,4,6,2,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,6,2,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,5,6,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,5,6,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,2,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,1,6,2,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,2,4,3,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,2,4,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,2,5,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,3,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,3,4,2,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,1,6,4,2,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,1,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,2,1,4,5,6,3]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,2,1,5,6,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,2,1,5,6,4,3]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,2,1,6,3,4,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,2,1,6,4,5,3]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,2,3,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,2,3,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,2,3,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,2,3,1,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,2,3,4,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,2,3,4,1,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,2,3,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,2,3,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>0
[7,2,3,4,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,3,5,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,2,3,5,4,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,3,5,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,3,5,6,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,3,6,4,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,2,3,6,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,3,6,5,1,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,2,4,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,2,4,3,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,4,3,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,4,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,4,5,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,2,4,5,3,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,4,5,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,4,5,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,5,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,2,5,3,4,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,2,5,3,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,5,6,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,2,5,6,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,5,6,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,2,6,3,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,2,6,3,4,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,2,6,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,2,6,4,5,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,3,1,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,3,1,2,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,3,1,2,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,3,1,2,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,3,1,4,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,3,1,4,5,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,3,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,3,2,4,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,3,2,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,3,4,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,3,4,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],5)=>0
[7,3,4,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,3,4,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,3,4,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,3,4,5,1,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,4,5,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,3,4,6,2,1,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,3,4,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,3,5,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,3,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,3,5,4,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,3,5,6,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,3,5,6,4,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,3,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,3,6,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,3,6,4,5,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,1,2,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,4,1,2,3,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,4,1,2,5,3,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,4,1,3,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,1,3,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,4,1,5,2,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,4),(2,3),(3,5),(4,5)],6)=>0
[7,4,1,5,6,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,2,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,2,3,1,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,4,2,3,5,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,4,3,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,4,3,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,3,5,1,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,3,5,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,4,5,1,2,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,4,5,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,5,1,3,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,4,5,1,6,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,5,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,5,3,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,5,3,6,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[7,4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,4,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,4,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,1,2,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,3),(2,3)],4)=>0
[7,5,1,2,4,3,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,1,2,4,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,5,1,2,6,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,1,3,2,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,1,3,4,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,1,3,4,6,2]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,5,1,4,2,3,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,1,4,6,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(3,5)],6)=>0
[7,5,1,6,3,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,1,6,4,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,2,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,2,3,1,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,3,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,4),(3,4),(4,5)],6)=>1
[7,5,3,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,3,4,6,1,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,4,1,2,6,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,4,1,6,2,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(1,5),(2,5),(3,4)],6)=>0
[7,5,4,6,1,2,3]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,4,6,3,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,6,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],3)=>0
[7,5,6,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,1,3,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],6)=>0
[7,5,6,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,6,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,6,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>([],4)=>0
[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,5,6,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,5,6,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,6,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,5,6,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],3)=>0
[7,6,1,2,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,2,4,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,2,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,2,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,3,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,3,4,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,3,4,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,4,2,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,4,5,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,1,5,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,2,1,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,2,1,4,5,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,2,3,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,2,3,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,2,3,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,3,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,3,1,2,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,3,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,4,1,2,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(2,4),(3,4)],5)=>0
[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,4,3,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,6,4,5,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,4,5,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,5,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],4)=>0
[7,6,5,1,2,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,1,3,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([(3,5),(4,5)],6)=>0
[7,6,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],5)=>0
[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>([],6)=>0
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Description
The interval resolution global dimension of a poset.
This is the cardinality of the longest chain of right minimal approximations by interval modules of an indecomposable module over the incidence algebra.
This is the cardinality of the longest chain of right minimal approximations by interval modules of an indecomposable module over the incidence algebra.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
weak duplicate order
Description
The weak duplicate order of the de-duplicate of a graph.
Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.
This map yields the poset obtained by ordering $N$ by reverse inclusion.
Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.
This map yields the poset obtained by ordering $N$ by reverse inclusion.
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