=>

[1]=>[1]=>[1,0]=>([],1)=>1 [1,2]=>[2,1]=>[1,1,0,0]=>([],2)=>2 [2,1]=>[1,2]=>[1,0,1,0]=>([(0,1)],2)=>1 [1,2,3]=>[3,2,1]=>[1,1,1,0,0,0]=>([],3)=>3 [1,3,2]=>[2,3,1]=>[1,1,0,1,0,0]=>([(1,2)],3)=>2 [2,1,3]=>[3,1,2]=>[1,1,1,0,0,0]=>([],3)=>3 [2,3,1]=>[1,3,2]=>[1,0,1,1,0,0]=>([(0,2),(1,2)],3)=>1 [3,1,2]=>[2,1,3]=>[1,1,0,0,1,0]=>([(0,1),(0,2)],3)=>2 [3,2,1]=>[1,2,3]=>[1,0,1,0,1,0]=>([(0,2),(2,1)],3)=>1 [1,2,3,4]=>[4,3,2,1]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [1,2,4,3]=>[3,4,2,1]=>[1,1,1,0,1,0,0,0]=>([(2,3)],4)=>3 [1,3,2,4]=>[4,2,3,1]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [1,3,4,2]=>[2,4,3,1]=>[1,1,0,1,1,0,0,0]=>([(1,3),(2,3)],4)=>2 [1,4,2,3]=>[3,2,4,1]=>[1,1,1,0,0,1,0,0]=>([(1,2),(1,3)],4)=>3 [1,4,3,2]=>[2,3,4,1]=>[1,1,0,1,0,1,0,0]=>([(0,3),(1,2),(1,3)],4)=>2 [2,1,3,4]=>[4,3,1,2]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [2,1,4,3]=>[3,4,1,2]=>[1,1,1,0,1,0,0,0]=>([(2,3)],4)=>3 [2,3,1,4]=>[4,1,3,2]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [2,3,4,1]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>([(0,3),(1,3),(2,3)],4)=>1 [2,4,1,3]=>[3,1,4,2]=>[1,1,1,0,0,1,0,0]=>([(1,2),(1,3)],4)=>3 [2,4,3,1]=>[1,3,4,2]=>[1,0,1,1,0,1,0,0]=>([(0,3),(1,2),(2,3)],4)=>1 [3,1,2,4]=>[4,2,1,3]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [3,1,4,2]=>[2,4,1,3]=>[1,1,0,1,1,0,0,0]=>([(1,3),(2,3)],4)=>2 [3,2,1,4]=>[4,1,2,3]=>[1,1,1,1,0,0,0,0]=>([],4)=>4 [3,2,4,1]=>[1,4,2,3]=>[1,0,1,1,1,0,0,0]=>([(0,3),(1,3),(2,3)],4)=>1 [3,4,1,2]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>([(0,2),(0,3),(1,2),(1,3)],4)=>2 [3,4,2,1]=>[1,2,4,3]=>[1,0,1,0,1,1,0,0]=>([(0,3),(1,3),(3,2)],4)=>1 [4,1,2,3]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3)],4)=>3 [4,1,3,2]=>[2,3,1,4]=>[1,1,0,1,0,0,1,0]=>([(0,2),(0,3),(3,1)],4)=>2 [4,2,1,3]=>[3,1,2,4]=>[1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3)],4)=>3 [4,2,3,1]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(2,3)],4)=>1 [4,3,1,2]=>[2,1,3,4]=>[1,1,0,0,1,0,1,0]=>([(0,3),(3,1),(3,2)],4)=>2 [4,3,2,1]=>[1,2,3,4]=>[1,0,1,0,1,0,1,0]=>([(0,3),(2,1),(3,2)],4)=>1 [1,2,3,4,5]=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,2,3,5,4]=>[4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [1,2,4,3,5]=>[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,2,4,5,3]=>[3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [1,2,5,3,4]=>[4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [1,2,5,4,3]=>[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>([(1,4),(2,3),(2,4)],5)=>3 [1,3,2,4,5]=>[5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,3,2,5,4]=>[4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [1,3,4,2,5]=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,3,4,5,2]=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [1,3,5,2,4]=>[4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [1,3,5,4,2]=>[2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>([(0,4),(1,4),(2,3),(2,4)],5)=>2 [1,4,2,3,5]=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,4,2,5,3]=>[3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [1,4,3,2,5]=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [1,4,3,5,2]=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [1,4,5,2,3]=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [1,4,5,3,2]=>[2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 [1,5,2,3,4]=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [1,5,2,4,3]=>[3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4)],5)=>3 [1,5,3,2,4]=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [1,5,3,4,2]=>[2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(3,4)],5)=>2 [1,5,4,2,3]=>[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>3 [1,5,4,3,2]=>[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>2 [2,1,3,4,5]=>[5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,1,3,5,4]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [2,1,4,3,5]=>[5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,1,4,5,3]=>[3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [2,1,5,3,4]=>[4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [2,1,5,4,3]=>[3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>([(1,4),(2,3),(2,4)],5)=>3 [2,3,1,4,5]=>[5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,3,1,5,4]=>[4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [2,3,4,1,5]=>[5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,3,4,5,1]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [2,3,5,1,4]=>[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [2,3,5,4,1]=>[1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1 [2,4,1,3,5]=>[5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,4,1,5,3]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [2,4,3,1,5]=>[5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [2,4,3,5,1]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [2,4,5,1,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [2,4,5,3,1]=>[1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>([(0,4),(1,3),(2,3),(3,4)],5)=>1 [2,5,1,3,4]=>[4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [2,5,1,4,3]=>[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4)],5)=>3 [2,5,3,1,4]=>[4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [2,5,3,4,1]=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1 [2,5,4,1,3]=>[3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>3 [2,5,4,3,1]=>[1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>1 [3,1,2,4,5]=>[5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,1,2,5,4]=>[4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [3,1,4,2,5]=>[5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,1,4,5,2]=>[2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [3,1,5,2,4]=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [3,1,5,4,2]=>[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>([(0,4),(1,4),(2,3),(2,4)],5)=>2 [3,2,1,4,5]=>[5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,2,1,5,4]=>[4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>([(3,4)],5)=>4 [3,2,4,1,5]=>[5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,2,4,5,1]=>[1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [3,2,5,1,4]=>[4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>([(2,3),(2,4)],5)=>4 [3,2,5,4,1]=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1 [3,4,1,2,5]=>[5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,4,1,5,2]=>[2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [3,4,2,1,5]=>[5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [3,4,2,5,1]=>[1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [3,4,5,1,2]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 [3,4,5,2,1]=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>([(0,4),(1,4),(2,4),(4,3)],5)=>1 [3,5,1,2,4]=>[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [3,5,1,4,2]=>[2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(3,4)],5)=>2 [3,5,2,1,4]=>[4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4)],5)=>4 [3,5,2,4,1]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1 [3,5,4,1,2]=>[2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>2 [3,5,4,2,1]=>[1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>([(0,4),(1,2),(2,4),(4,3)],5)=>1 [4,1,2,3,5]=>[5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,1,2,5,3]=>[3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [4,1,3,2,5]=>[5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,1,3,5,2]=>[2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [4,1,5,2,3]=>[3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [4,1,5,3,2]=>[2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 [4,2,1,3,5]=>[5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,2,1,5,3]=>[3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>([(2,4),(3,4)],5)=>3 [4,2,3,1,5]=>[5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,2,3,5,1]=>[1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [4,2,5,1,3]=>[3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3 [4,2,5,3,1]=>[1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>([(0,4),(1,3),(2,3),(3,4)],5)=>1 [4,3,1,2,5]=>[5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,3,1,5,2]=>[2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>([(1,4),(2,4),(3,4)],5)=>2 [4,3,2,1,5]=>[5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>([],5)=>5 [4,3,2,5,1]=>[1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>([(0,4),(1,4),(2,4),(3,4)],5)=>1 [4,3,5,1,2]=>[2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 [4,3,5,2,1]=>[1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>([(0,4),(1,4),(2,4),(4,3)],5)=>1 [4,5,1,2,3]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>3 [4,5,1,3,2]=>[2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>2 [4,5,2,1,3]=>[3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>3 [4,5,2,3,1]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>1 [4,5,3,1,2]=>[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>([(0,4),(1,4),(4,2),(4,3)],5)=>2 [4,5,3,2,1]=>[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>([(0,4),(1,4),(2,3),(4,2)],5)=>1 [5,1,2,3,4]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,1,2,4,3]=>[3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(4,1)],5)=>3 [5,1,3,2,4]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,1,3,4,2]=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>2 [5,1,4,2,3]=>[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(4,1),(4,2)],5)=>3 [5,1,4,3,2]=>[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>2 [5,2,1,3,4]=>[4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,2,1,4,3]=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(4,1)],5)=>3 [5,2,3,1,4]=>[4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,2,3,4,1]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>1 [5,2,4,1,3]=>[3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(4,1),(4,2)],5)=>3 [5,2,4,3,1]=>[1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>1 [5,3,1,2,4]=>[4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,3,1,4,2]=>[2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>2 [5,3,2,1,4]=>[4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4 [5,3,2,4,1]=>[1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>1 [5,3,4,1,2]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>2 [5,3,4,2,1]=>[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>1 [5,4,1,2,3]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>([(0,4),(4,1),(4,2),(4,3)],5)=>3 [5,4,1,3,2]=>[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>([(0,4),(3,2),(4,1),(4,3)],5)=>2 [5,4,2,1,3]=>[3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>([(0,4),(4,1),(4,2),(4,3)],5)=>3 [5,4,2,3,1]=>[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>1 [5,4,3,1,2]=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>([(0,3),(3,4),(4,1),(4,2)],5)=>2 [5,4,3,2,1]=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>([(0,4),(2,3),(3,1),(4,2)],5)=>1 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2 [1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2 [1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2 [1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>2 [1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>3 [1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2 [1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>3 [1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>2 [1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>3 [1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>2 [1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>3 [1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>2 [2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 [2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 [2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>3 [2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>3 [2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>1 [2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>3 [2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>3 [2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>1 [3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2 [3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>([(2,5),(3,4),(3,5)],6)=>4 [3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>([(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2 [3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>1 [3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2 [3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>1 [3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2 [3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 [3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1 [3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>2 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>2 [3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>1 [4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2 [4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>([(1,5),(2,5),(3,4),(3,5)],6)=>3 [4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 [4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 [4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>([(4,5)],6)=>5 [4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>([(3,4),(3,5)],6)=>5 [4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>1 [4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 [4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5)],6)=>5 [4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 [4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2 [4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>1 [4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>2 [4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 [4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>2 [4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>1 [4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>3 [4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>2 [4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 [4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>3 [4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>1 [4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 [4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5)],6)=>5 [4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 [4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1 [4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>2 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 [4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>2 [4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>1 [5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2 [5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>2 [5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 [5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>([(3,5),(4,5)],6)=>4 [5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(3,4),(3,5)],6)=>4 [5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>1 [5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2 [5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 [5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 [5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>1 [5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>([(2,5),(3,5),(4,5)],6)=>3 [5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 [5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>1 [5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2 [5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>([],6)=>6 [5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>1 [5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>1 [5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>2 [5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 [5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>2 [5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>1 [5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>3 [5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>2 [5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>3 [5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>2 [5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>3 [5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>3 [5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>1 [5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>2 [5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 [5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>2 [5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>1 [5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>3 [5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>2 [5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>3 [5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>2 [5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>1 [6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3 [6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>2 [6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 [6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>3 [6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>2 [6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>3 [6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>2 [6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3 [6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>1 [6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 [6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>1 [6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>3 [6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>1 [6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>3 [6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>1 [6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>2 [6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>4 [6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>4 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>1 [6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>1 [6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>2 [6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>1 [6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>2 [6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>1 [6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 [6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 [6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>1 [6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>2 [6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 [6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>1 [6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 [6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>1 [6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>2 [6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 [6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>2 [6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>1 [6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>3 [6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>2 [6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>3 [6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>2 [6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>3 [6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1 [6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>3 [6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>1 [6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>2 [6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 [6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1 [6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>2 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>1 [6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>3 [6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>2 [6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>3 [6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>1 [6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>2 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>2 [1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2 [1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 [1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>3 [1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 [1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>2 [1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>3 [1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)=>2 [1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>3 [1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2 [1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 [1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>2 [1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>3 [1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>2 [1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>3 [1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>2 [1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>3 [1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>2 [1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>3 [1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>2 [2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>1 [2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 [2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>1 [2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>3 [2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 [2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1 [2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>3 [2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>3 [2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>3 [2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>1 [2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>3 [2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>3 [2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>1 [2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>3 [2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>1 [3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>1 [3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>1 [3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1 [3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1 [3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)=>2 [3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>4 [3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>4 [3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>4 [3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>1 [3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 [3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>2 [3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>4 [3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>4 [3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>1 [3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>1 [3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>2 [3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>4 [3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>1 [3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>1 [4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>2 [4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(3,6),(4,5),(4,6)],7)=>5 [4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>([(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>2 [4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>1 [4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2 [4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>1 [4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2 [4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>1 [4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>1 [4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1 [4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>2 [4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>1 [4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>2 [4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>1 [4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>3 [4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2 [4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>3 [4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>3 [4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>3 [4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>2 [4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>2 [4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>1 [4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>1 [4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>3 [4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>2 [4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>3 [4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>3 [4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>2 [4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>1 [4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>2 [4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>1 [5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2 [5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 [5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>3 [5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>3 [5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>1 [5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>([(2,6),(3,6),(4,5),(4,6)],7)=>4 [5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>1 [5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 [5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>3 [5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(5,6)],7)=>6 [5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(4,5),(4,6)],7)=>6 [5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 [5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(3,4),(3,5),(3,6)],7)=>6 [5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 [5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 [5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 [5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 [5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 [5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>([(2,3),(2,4),(2,5),(2,6)],7)=>6 [5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>1 [5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2 [5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>1 [5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2 [5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>1 [5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>2 [5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>1 [5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>1 [5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>1 [5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 [5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>1 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 [5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>2 [5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 [5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>1 [5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2 [5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1 [5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 [5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>2 [5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>3 [5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>2 [5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>4 [5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>4 [5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>1 [5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 [5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4 [5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 [5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 [5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 [5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 [5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 [5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>1 [5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>1 [5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>1 [5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>1 [6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 [6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>3 [6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 [6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>2 [6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 [6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>1 [6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>3 [6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 [6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1 [6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 [6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 [6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1 [6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1 [6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(4,6),(5,6)],7)=>5 [6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>([(3,5),(3,6),(4,5),(4,6)],7)=>5 [6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5 [6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 [6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 [6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 [6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 [6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>1 [6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 [6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>5 [6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1 [6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>2 [6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 [6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>1 [6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>2 [6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>1 [6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>2 [6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(3,6),(4,6),(5,6)],7)=>4 [6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 [6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>1 [6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>2 [6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 [6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1 [6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(3,6),(4,6),(5,6)],7)=>3 [6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 [6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([],7)=>7 [6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>1 [6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 [6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>([(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)=>3 [6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>2 [6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1 [6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>2 [6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>1 [6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 [6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>1 [6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>1 [6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 [6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>1 [6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>2 [6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 [6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>1 [6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2 [6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1 [6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>2 [6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>2 [6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1 [6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>1 [6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>1 [6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>2 [6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4 [6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1 [6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>2 [6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>1 [6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 [6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>1 [6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>1 [6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2 [6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 [6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>1 [6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>2 [6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>1 [6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>3 [6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>2 [6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>3 [6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>2 [6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>3 [6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>1 [6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>3 [6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>1 [6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>2 [6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4 [6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>1 [6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>2 [6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>1 [6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>3 [6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>2 [6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>3 [6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>1 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>2 [6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>1 [7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>2 [7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>1 [7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>1 [7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>1 [7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>1 [7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 [7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 [7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 [7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>1 [7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>1 [7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>1 [7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>2 [7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 [7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 [7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>1 [7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>2 [7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>1 [7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 [7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>1 [7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>3 [7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>3 [7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3 [7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>1 [7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>2 [7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>5 [7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>5 [7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>1 [7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 [7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>5 [7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 [7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>1 [7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>2 [7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>2 [7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>1 [7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>1 [7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 [7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>5 [7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 [7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>2 [7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>1 [7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>2 [7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>1 [7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 [7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 [7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 [7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 [7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>1 [7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 [7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 [7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 [7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>1 [7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 [7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 [7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>1 [7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>2 [7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 [7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>1 [7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 [7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1 [7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>2 [7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 [7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1 [7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>2 [7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>1 [7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>3 [7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>2 [7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>3 [7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>2 [7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>3 [7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>3 [7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>2 [7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 [7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 [7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 [7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>1 [7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>3 [7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>3 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>1 [7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>2 [7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>1 [7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3 [7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 [7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>1 [7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3 [7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>1 [7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>1 [7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>1 [7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 [7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 [7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>1 [7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>1 [7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 [7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>1 [7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>1 [7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3 [7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 [7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 [7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3 [7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>1 [7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 [7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 [7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>1 [7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 [7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>1 [7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>3 [7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>3 [7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>1 [7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>2 [7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>1 [7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>3 [7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>2 [7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>3 [7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>3 [7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1 [7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>3 [7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>1 [7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>2 [7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 [7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1 [7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>2 [7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>1 [7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>3 [7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>2 [7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>3 [7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>1 [7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>2 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>1 [8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>1 [7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)=>1 [8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)=>1 [7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)=>1 [6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)=>1 [8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8)=>1 [7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>1 [8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8)=>1 [8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>1 [8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)=>1 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>1 [8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>1 [8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8)=>1 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>1 [8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>1 [8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>1 [8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>1 [8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>1 [8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>1 [8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)=>1 [8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8)=>1 [8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,7,2,3,8,1]=>[1,8,3,2,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>2 [7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,5,7,8,2,3,1,4]=>[4,1,3,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,4,2,3,1,6]=>[6,1,3,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,3,1,2,5,6]=>[6,5,2,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,2,3,6,1,8]=>[8,1,6,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)=>1 [5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8)=>1 [6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)=>1 [5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)=>1 [5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)=>1 [4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8)=>1 [3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5)],8)=>1 [2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8)=>1 [4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,2,4,7,6,8,5,1]=>[1,5,8,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,2,5,6,4,8,7,1]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,6,7,4,3,8,1]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,6,4,7,3,8,1]=>[1,8,3,7,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,5,2,7,8,1]=>[1,8,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8)=>2 [5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,7,6,5,1,8]=>[8,1,5,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,7,5,1,8]=>[8,1,5,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,5,7,6,1,8]=>[8,1,6,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,6,5,3,2,8]=>[8,2,3,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,7,6,2,8]=>[8,2,6,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,4,3,7,2,8]=>[8,2,7,3,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,7,5,4,3,8]=>[8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,5,7,6,4,8]=>[8,4,6,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,7,6,4,8]=>[8,4,6,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,3,1,7,8]=>[8,7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,4,1,7,8]=>[8,7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,4,5,7,3,8]=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,5,4,6,3,8]=>[8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,4,5,7,2,8]=>[8,2,7,5,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,6,5,4,2,8]=>[8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,5,3,2,7,8]=>[8,7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,5,6,3,2,8]=>[8,2,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,7,5,6,4,8]=>[8,4,6,5,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,4,7,5,6,1,8]=>[8,1,6,5,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,3,5,4,8,6,7,1]=>[1,7,6,8,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,6,4,5,1,7,8]=>[8,7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,4,5,8,7,1]=>[1,7,8,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,4,6,5,1,8]=>[8,1,5,6,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,8,6,5,7,1]=>[1,7,5,6,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,3,4,5,8,7,1]=>[1,7,8,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,3,5,4,1,7,8]=>[8,7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,7,4,3,5,6,1,8]=>[8,1,6,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,5,4,3,6,1,8]=>[8,1,6,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,2,4,8,5,6,7,1]=>[1,7,6,5,8,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,4,5,7,1,8]=>[8,1,7,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,6,4,5,8,7,1]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,4,6,5,1,8]=>[8,1,5,6,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,7,5,6,4,1,8]=>[8,1,4,6,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,1,6,7,5,8]=>[8,5,7,6,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,2,3,5,7,6,1,8]=>[8,1,6,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,7,5,6,1,8]=>[8,1,6,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,6,8,7,1]=>[1,7,8,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,5,6,4,8,1]=>[1,8,4,6,5,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,6,5,4,8,1]=>[1,8,4,5,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,6,7,1,8]=>[8,1,7,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,2,4,3,5,7,8,1]=>[1,8,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,4,3,5,8,7,1]=>[1,7,8,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,4,5,3,8,7,1]=>[1,7,8,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,4,5,6,3,1,8]=>[8,1,3,6,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,4,3,7,1,8]=>[8,1,7,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,4,3,7,8,1]=>[1,8,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,7,6,8,1]=>[1,8,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,3,2,4,5,8,7,1]=>[1,7,8,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,3,2,5,4,1,7,8]=>[8,7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,2,5,4,8,7,1]=>[1,7,8,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,3,4,2,7,6,1,8]=>[8,1,6,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,3,4,5,2,8,7,1]=>[1,7,8,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>1 [2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,4,7,3,8,5,6]=>[6,5,8,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,7,1,3,8,5,6]=>[6,5,8,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,5,7,3,6,8]=>[8,6,3,7,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,1,3,7,4,8]=>[8,4,7,3,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,3,4,7,6,8]=>[8,6,7,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,7,4,6,8]=>[8,6,4,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,1,7,4,6,8]=>[8,6,4,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,5,7,8,4,6]=>[6,4,8,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,7,3,4,5,8]=>[8,5,4,3,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,3,4,7,5,8]=>[8,5,7,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,7,4,5,8]=>[8,5,4,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,7,3,4,8,5,6]=>[6,5,8,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,5,7,2,6,8]=>[8,6,2,7,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,5,7,8,4,6]=>[6,4,8,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,5,7,2,8,4,6]=>[6,4,8,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,5,7,2,6,8]=>[8,6,2,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,7,2,3,6,8]=>[8,6,3,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,5,7,8,3,6]=>[6,3,8,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,5,7,8,3,6]=>[6,3,8,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,2,3,7,5,8]=>[8,5,7,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,7,2,3,8,5,6]=>[6,5,8,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,4,7,3,8,5,6]=>[6,5,8,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,7,3,5,6,8]=>[8,6,5,3,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,7,1,2,8,3,4]=>[4,3,8,2,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,6,2,7,3,4,8]=>[8,4,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,7,3,4,8]=>[8,4,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,1,8,2,3,4,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,2,7,3,8,4,6]=>[6,4,8,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,3,7,4,5,8]=>[8,5,4,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>2 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>3 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>3 [10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)=>1 [3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,1,3,4,7,8]=>[8,7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,3,4,6,8]=>[8,6,4,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,5,1,3,7,8]=>[8,7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,1,4,7,8]=>[8,7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,7,1,5,6,8]=>[8,6,5,1,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,4,1,3,8]=>[8,3,1,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,4,8,2,3,5,6]=>[6,5,3,2,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9)=>7 [9,1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [9,3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>3 [7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)=>3 [7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)=>2 [6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>3 [5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)=>3 [8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,7,2,4,8,1,6]=>[6,1,8,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [4,2,5,7,1,8,3,6]=>[6,3,8,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,3,6,4,8]=>[8,4,6,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,5,3,7,4,8]=>[8,4,7,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,4,3,7,5,8]=>[8,5,7,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,6,4,8,7,1]=>[1,7,8,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [1,6,5,7,3,4,2,8]=>[8,2,4,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [10,6,7,4,5,8,1,2,3,9]=>[9,3,2,1,8,5,4,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [10,6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,5,7,8,3,4]=>[4,3,8,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,7,5,2,4,8]=>[8,4,2,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,5,3,2,4,8]=>[8,4,2,3,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,7,4,2,8,5,1]=>[1,5,8,2,4,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,3,6,4,2,8,1]=>[1,8,2,4,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [8,2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,7,4,3,5,8,1]=>[1,8,5,3,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [5,7,4,2,1,8,3,6]=>[6,3,8,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8)=>1 [2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>1 [1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>3 [3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,4,5,6,3,8]=>[8,3,6,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [1,7,5,6,3,2,4,8]=>[8,4,2,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>1 [8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)=>1 [8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)=>1 [8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10)=>1 [7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)=>1 [8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [1,6,2,4,7,5,3,8]=>[8,3,5,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,6,7,2,4,8]=>[8,4,2,7,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,3,7,1,6,8]=>[8,6,1,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,2,5,1,7,8]=>[8,7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,2,5,1,7,8]=>[8,7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,3,7,2,6,8]=>[8,6,2,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,7,5,2,6,8]=>[8,6,2,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,4,1,2,7,8]=>[8,7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,1,7,2,5,8]=>[8,5,2,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,1,2,7,5,8]=>[8,5,7,2,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,2,1,4,7,8]=>[8,7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,2,3,1,5,8]=>[8,5,1,3,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,1,4,7,5,8]=>[8,5,7,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,1,4,7,5,8]=>[8,5,7,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,2,4,5,1,8]=>[8,1,5,4,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,7,4,6,1,8]=>[8,1,6,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,1,5,7,4,8]=>[8,4,7,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,5,2,6,4,8]=>[8,4,6,2,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,1,2,7,4,8]=>[8,4,7,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,4,1,6,3,8]=>[8,3,6,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,6,7,1,5,8]=>[8,5,1,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,1,6,4,8]=>[8,4,6,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,7,4,6,8]=>[8,6,4,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,7,8,4,6]=>[6,4,8,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,7,2,1,5,6,8]=>[8,6,5,1,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9)=>2 [1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10)=>2 [8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,4,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)=>1 [8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,2,6,4,8,1]=>[1,8,4,6,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,7,3,6,4,8,1]=>[1,8,4,6,3,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,2,3,5,4,8,1]=>[1,8,4,5,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [10,3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [11,3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,2,6,5,3,8,7,1]=>[1,7,8,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,2,6,8,5,3,7,1]=>[1,7,3,5,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,2,1,5,8,4,6]=>[6,4,8,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,2,1,4,8,5,6]=>[6,5,8,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,3,7,5,4,8,1,2]=>[2,1,8,4,5,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,6,3,5,4,8,1,2]=>[2,1,8,4,5,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,1,6,4,3,2,8]=>[8,2,3,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,7,4,3,2,8]=>[8,2,3,4,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,4,1,5,3,2,6]=>[6,2,3,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,6,1,7,4,3,2,8]=>[8,2,3,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,6,4,3,2,8]=>[8,2,3,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,7,5,8,2,4]=>[4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,2,1,5,6,3,7,8]=>[8,7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,1,5,7,2,8]=>[8,2,7,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,3,7,8,2,4]=>[4,2,8,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,5,2,3,7,8]=>[8,7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,8,4,3,2,6]=>[6,2,3,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,7,1,4,3,2,8]=>[8,2,3,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,8,4,3,2,6]=>[6,2,3,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,8,5,4,1,3,2,6]=>[6,2,3,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,2,7,1,5,8]=>[8,5,1,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,5,4,1,7,8]=>[8,7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,7,5,3,8]=>[8,3,5,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,4,1,6,3,8]=>[8,3,6,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,1,6,7,3,8]=>[8,3,7,6,1,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,7,1,4,8]=>[8,4,1,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,6,4,7,8]=>[8,7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,8,2,1,4,6]=>[6,4,1,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [5,7,3,2,1,6,4,8]=>[8,4,6,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,4,7,6,8]=>[8,6,7,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,3,2,1,5,6,8]=>[8,6,5,1,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,7,1,8,4,3,2,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,1,7,5,3,2,6,8]=>[8,6,2,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,3,2,8,1,6]=>[6,1,8,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,5,8,3,4,1,6]=>[6,1,4,3,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,7,8,4,1,2,6]=>[6,2,1,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,4,7,5,3,8,2,6]=>[6,2,8,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,4,7,3,6,8,1,2]=>[2,1,8,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,4,7,2,5,1,6,8]=>[8,6,1,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,6,2,4,7,1,5,8]=>[8,5,1,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,7,5,8,1,2]=>[2,1,8,5,7,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [4,1,6,2,5,7,3,8]=>[8,3,7,5,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,4,7,2,5,8]=>[8,5,2,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,5,1,8,3,6]=>[6,3,8,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,7,1,4,2,3,8]=>[8,3,2,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,3,1,5,7,8]=>[8,7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,4,1,6,2,8]=>[8,2,6,1,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,1,6,5,3,8]=>[8,3,5,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,1,5,4,6,3,8]=>[8,3,6,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,2,1,4,5,3,6]=>[6,3,5,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,6,1,5,7,4,2,8]=>[8,2,4,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,5,6,3,2,8,1]=>[1,8,2,3,6,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,7,5,6,8,3,4]=>[4,3,8,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)=>1 [4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8)=>1 [8,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [6,5,7,2,4,3,8,1]=>[1,8,3,4,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,7,4,5,3,8,1]=>[1,8,3,5,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,2,6,3,8,1]=>[1,8,3,6,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,6,2,7,8,5,1]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8)=>1 [7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,4,3,6,2,5,7,8]=>[8,7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,7,2,5,6,8]=>[8,6,5,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,5,4,2,7,8]=>[8,7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,1,4,3,8]=>[8,3,4,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,3,2,8,1,6]=>[6,1,8,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8)=>3 [3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [6,7,3,2,5,4,1,8]=>[8,1,4,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,2,6,4,5,8]=>[8,5,4,6,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,1,4,2,8]=>[8,2,4,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,5,3,1,6,2,4]=>[4,2,6,1,3,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,4,8,1,2]=>[2,1,8,4,6,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,3,8,4,6,1,2]=>[2,1,6,4,8,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,4,1,2,8]=>[8,2,1,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,8,4,1,2,6]=>[6,2,1,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,1,8,2,6]=>[6,2,8,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,3,1,4,8,2,6]=>[6,2,8,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,3,1,4,6,2,8]=>[8,2,6,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,1,2,8,4,6]=>[6,4,8,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,7,5,3,2,8,6,1]=>[1,6,8,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)=>1 [2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)=>1 [5,4,3,7,2,6,1,8]=>[8,1,6,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,4,2,1,8]=>[8,1,2,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,3,5,2,4,1,8]=>[8,1,4,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)=>3 [4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,7,2,4,1,8]=>[8,1,4,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,7,3,5,1,8]=>[8,1,5,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,6,4,3,1,8]=>[8,1,3,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [7,1,5,4,3,8,2,6]=>[6,2,8,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,6,5,1,3,8,2,4]=>[4,2,8,3,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,2,4,8,3,6]=>[6,3,8,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,8,3,2,4,6]=>[6,4,2,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,5,6,2,8,3,4]=>[4,3,8,2,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,5,2,3,7,4,8]=>[8,4,7,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,2,8,4,6]=>[6,4,8,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,7,4,8,5,2,1,6]=>[6,1,2,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>2 [3,7,4,6,5,8,1,2]=>[2,1,8,5,6,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,6,2,7,5,8,3,4]=>[4,3,8,5,7,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,1,5,2,4,3,6]=>[6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,7,2,6,5,8,3,4]=>[4,3,8,5,6,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,2,7,6,8,3,4]=>[4,3,8,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>4 [7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,4,3,7,5,8]=>[8,5,7,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [2,6,4,8,5,3,7,1]=>[1,7,3,5,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,3,5,8,4,2,1,6]=>[6,1,2,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,5,3,4,8,2,6]=>[6,2,8,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,3,7,1,8,5,6]=>[6,5,8,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,1,4,3,8,5,6]=>[6,5,8,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,4,1,5,3,8,2,6]=>[6,2,8,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,1,5,3,2,6,8]=>[8,6,2,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,5,3,6,2,8]=>[8,2,6,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,7,5,6,2,3,1,8]=>[8,1,3,2,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,6,3,8,1,2]=>[2,1,8,3,6,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,5,8,4,6,1,2]=>[2,1,6,4,8,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,2,5,3,4,1,6]=>[6,1,4,3,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,1,5,3,6,2,4]=>[4,2,6,3,5,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,6,4,5,1,8]=>[8,1,5,4,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,6,3,8,2,4]=>[4,2,8,3,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,5,6,3,4,1,8]=>[8,1,4,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,5,3,4,1,8]=>[8,1,4,3,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,7,5,8,2,6]=>[6,2,8,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,5,8,1,4,3,6]=>[6,3,4,1,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,3,1,7,5,8,4,6]=>[6,4,8,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,2,5,4,6,1,8]=>[8,1,6,4,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,4,3,8,2,1,5,6]=>[6,5,1,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,2,5,8,4,3,7,1]=>[1,7,3,4,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,5,4,7,3,6,1,8]=>[8,1,6,3,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,3,7,5,1,8]=>[8,1,5,7,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,7,6,4,1,8]=>[8,1,4,6,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,7,4,1,8]=>[8,1,4,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,6,3,5,1,8]=>[8,1,5,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,7,5,4,1,8]=>[8,1,4,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,7,1,5,3,8]=>[8,3,5,1,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,6,1,2,4,8]=>[8,4,2,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,2,4,5,1,6,8]=>[8,6,1,5,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,7,5,2,6,8]=>[8,6,2,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,7,2,1,5,8]=>[8,5,1,2,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,7,1,4,2,8]=>[8,2,4,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,3,1,5,4,8,2,6]=>[6,2,8,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,5,2,7,1,6,8]=>[8,6,1,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,8,5,2,3,6]=>[6,3,2,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,4,8,5,1,2,6]=>[6,2,1,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,7,4,1,8,3,6]=>[6,3,8,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,1,8,4,2,5,6]=>[6,5,2,4,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)=>1 [5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,6,5,1,3,8]=>[8,3,1,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,6,4,3,8]=>[8,3,4,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,6,7,4,3,8]=>[8,3,4,7,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,7,2,6,3,8]=>[8,3,6,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,6,2,4,8]=>[8,4,2,6,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,3,6,7,2,5,4,8]=>[8,4,5,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,7,4,6,8,1,2]=>[2,1,8,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,3,7,5,8,1,4]=>[4,1,8,5,7,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,1,6,3,8,2,4]=>[4,2,8,3,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,7,1,5,8,3,4]=>[4,3,8,5,1,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,5,3,2,1,8,4,6]=>[6,4,8,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,2,5,8,6,7,1]=>[1,7,6,8,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,8,7,3,4,6,2,1]=>[1,2,6,4,3,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)=>1 [8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,2,6,7,8,1,4]=>[4,1,8,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,7,2,4,8,6,1]=>[1,6,8,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,6,7,3,2,8,5,1]=>[1,5,8,2,3,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,7,2,3,4,8,6,1]=>[1,6,8,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,1,3,8,4,6]=>[6,4,8,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [1,6,7,5,3,2,4,8]=>[8,4,2,3,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,7,3,6,5,2,4,8]=>[8,4,2,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)=>1 [6,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9)=>1 [5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,5),(5,2),(6,4),(7,6),(8,6)],9)=>1 [4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,4),(0,8),(1,7),(1,8),(2,3),(4,6),(4,7),(5,2),(6,5),(7,5),(8,6)],9)=>1 [3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>1 [2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5),(8,5),(8,6)],9)=>1 [8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)=>1 [6,9,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)=>1 [7,10,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,10,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>([(0,8),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(8,9),(9,6)],10)=>1 [4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [5,9,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,6),(0,7),(1,3),(1,6),(1,7),(3,8),(4,2),(5,4),(6,8),(7,8),(8,5)],9)=>1 [6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(7,9),(8,9),(9,5)],10)=>1 [3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)=>1 [4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [4,9,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,9,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,8),(6,8),(7,8),(8,4)],9)=>1 [5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>([(0,8),(0,9),(1,3),(1,9),(3,6),(3,8),(4,2),(5,4),(6,7),(7,5),(8,7),(9,6)],10)=>1 [2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)=>1 [3,9,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,9,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(4,8),(5,8),(6,8),(7,4),(7,5),(8,2)],9)=>1 [4,10,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,10,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,4),(0,9),(1,8),(1,9),(2,3),(4,7),(4,8),(5,2),(6,5),(7,5),(8,6),(9,6),(9,7)],10)=>1 [1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,9,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,9,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(3,8),(4,8),(5,8),(6,3),(6,4),(7,3),(7,4),(7,5)],9)=>1 [3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,3),(0,9),(1,8),(1,9),(3,7),(3,8),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6),(9,6),(9,7)],10)=>1 [1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,7),(1,8),(2,6),(2,8),(6,4),(6,5),(7,3),(7,6),(8,3),(8,4),(8,5)],9)=>3 [2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10)=>1 [1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,4,7,6,3,8,1]=>[1,8,3,6,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,1,7,5,8,3,4]=>[4,3,8,5,7,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>1 [8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>1 [8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8)=>1 [7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)=>1 [7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,5,6,3,4,8,7,1]=>[1,7,8,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [8,2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,6,8,3,4,7,1]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,5,1,8,4,6]=>[6,4,8,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,2,5,3,8,6,1]=>[1,6,8,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,2,4,7,5,8,3,6]=>[6,3,8,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,6,2,7,1,4,8]=>[8,4,1,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,5,6,8,1,2]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,5,7,3,6,8,1,4]=>[4,1,8,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,7,3,4,6,8]=>[8,6,4,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,1,8,3,4,5,6]=>[6,5,4,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,6,1,3,4,5,8]=>[8,5,4,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,5,7,1,4,8]=>[8,4,1,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,1,2,5,7,6,4,8]=>[8,4,6,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,3,4,2,5,8]=>[8,5,2,4,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,4,2,7,5,8]=>[8,5,7,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,6,3,1,8]=>[8,1,3,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,4,7,5,1,8]=>[8,1,5,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,7,5,4,1,8]=>[8,1,4,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,3,5,8,1,6]=>[6,1,8,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,8,3,2,1,6]=>[6,1,2,3,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,4,7,5,3,2,1,8]=>[8,1,2,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,4,1,3,8]=>[8,3,1,4,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,4,2,6,1,8]=>[8,1,6,2,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,5,1,2,7,8]=>[8,7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,6,5,3,7,8]=>[8,7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,5,7,6,3,8]=>[8,3,6,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,5,6,1,2,8]=>[8,2,1,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,4,3,7,1,6,2,8]=>[8,2,6,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [2,6,7,1,3,5,4,8]=>[8,4,5,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,1,5,7,6,2,3,8]=>[8,3,2,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,4,7,1,5,2,3,8]=>[8,3,2,5,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,4,1,6,8]=>[8,6,1,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,1,6,2,5,8]=>[8,5,2,6,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,1,5,6,2,8]=>[8,2,6,5,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,4,6,8,1,2]=>[2,1,8,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,5,2,6,8,1,4]=>[4,1,8,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,5,2,4,7,8,1]=>[1,8,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,1,5,2,6,8,3,4]=>[4,3,8,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,4,5,8,2,7,1]=>[1,7,2,8,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,5,1,6,3,8]=>[8,3,6,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,2,7,3,5,8]=>[8,5,3,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,3,7,5,4,8]=>[8,4,5,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,7),(1,8),(2,6),(2,8),(6,4),(6,5),(7,3),(7,6),(8,3),(8,4),(8,5)],9)=>3 [2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8)=>3 [7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,1,6,5,3,8]=>[8,3,5,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,3,5,2,6,8]=>[8,6,2,5,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,5,8,4,6,1,2]=>[2,1,6,4,8,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,5,7,8,4,1,3,6]=>[6,3,1,4,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,7,8,2,1,4,6]=>[6,4,1,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,5,7,8,2,1,3,6]=>[6,3,1,2,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,2,6,7,5,1,4,8]=>[8,4,1,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,4,7,1,5,8]=>[8,5,1,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,6,1,7,5,8,2,4]=>[4,2,8,5,7,1,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,5,1,6,8,2,4]=>[4,2,8,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,3,6,1,4,5,8]=>[8,5,4,1,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,6,1,3,8]=>[8,3,1,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,3,8,4,1,5,6]=>[6,5,1,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,4,5,1,7,2,8]=>[8,2,7,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,4,1,7,3,8]=>[8,3,7,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,5,3,8,1,4]=>[4,1,8,3,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,5,6,2,1,8]=>[8,1,2,6,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,2,7,6,5,3,1,8]=>[8,1,3,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,1,5,4,2,8]=>[8,2,4,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,4,1,5,2,3,8]=>[8,3,2,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,7,2,3,6,8,1]=>[1,8,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,2,7,5,8,1]=>[1,8,5,7,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,3,1,7,4,2,8]=>[8,2,4,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,8,5,2,4,6]=>[6,4,2,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,3,6,1,7,8]=>[8,7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,6,1,4,3,5,7,8]=>[8,7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,1,3,5,7,8]=>[8,7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,3,5,7,8]=>[8,7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,5,4,2,6,8]=>[8,6,2,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,3,5,4,7,2,1,8]=>[8,1,2,7,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,8,4,2,7,1]=>[1,7,2,4,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,4,6,8,3,7,1]=>[1,7,3,8,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,5,7,4,6,3,2,8]=>[8,2,3,6,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,3,4,5,2,8]=>[8,2,5,4,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,6,2,4,8,7,1]=>[1,7,8,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,5,4,1,3,8,2,6]=>[6,2,8,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,5,8,3,4,1,6]=>[6,1,4,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,3,6,7,2,8]=>[8,2,7,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,2,7,1,5,8,4,6]=>[6,4,8,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,3,7,1,5,4,2,8]=>[8,2,4,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,1,6,5,3,8]=>[8,3,5,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,1,5,6,4,8]=>[8,4,6,5,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,6,1,4,5,3,8]=>[8,3,5,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,5,1,3,6,8]=>[8,6,3,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,2,6,3,5,8]=>[8,5,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,1,6,3,2,8]=>[8,2,3,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,1,6,2,3,8]=>[8,3,2,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [10,6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [10,7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [11,3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [11,4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [11,6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [11,7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [11,9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [2,6,5,7,3,1,4,8]=>[8,4,1,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,7,5,8,1]=>[1,8,5,7,4,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,2,4,7,5,1,8]=>[8,1,5,7,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,2,6,8,5,1]=>[1,5,8,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,7,5,2,4,1,8]=>[8,1,4,2,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,2,4,1,7,8]=>[8,7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,1,4,2,3,8]=>[8,3,2,4,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,5,3,6,8,1,4]=>[4,1,8,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,1,5,6,2,4,8]=>[8,4,2,6,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,1,6,2,4,8]=>[8,4,2,6,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,6,5,8,1,4]=>[4,1,8,5,6,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,3,5,7,1,8]=>[8,1,7,5,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,3,7,2,5,8]=>[8,5,2,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,5,7,2,4,8]=>[8,4,2,7,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,7,5,3,6,8]=>[8,6,3,5,7,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,6,2,5,4,8]=>[8,4,5,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [6,2,3,1,5,4,7,8]=>[8,7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,1,4,6,5,8]=>[8,5,6,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,5,1,3,2,6,4,8]=>[8,4,6,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,4,5,3,7,8]=>[8,7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,1,2,6,5,8]=>[8,5,6,2,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,4,2,5,3,8]=>[8,3,5,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [1,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,5,7,6,3,4,8]=>[8,4,3,6,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,6,2,3,4,8]=>[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,3,8,4,6,1,2]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,2,5,6,7,8,1,4]=>[4,1,8,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,1,7,3,8,4,6]=>[6,4,8,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,3,7,4,6,2,5,8]=>[8,5,2,6,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,2,6,7,3,8,5,1]=>[1,5,8,3,7,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,4,2,5,3,8,7,1]=>[1,7,8,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,3,6,4,7,8,5,1]=>[1,5,8,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,2,3,7,4,8,6,1]=>[1,6,8,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [3,6,4,8,2,5,7,1]=>[1,7,5,2,8,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)=>1 [11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)=>10 [8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,4,2,8,5,6]=>[6,5,8,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,2,8,5,7,1]=>[1,7,5,8,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,3,7,6,8,1]=>[1,8,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,3,5,2,8,1,6]=>[6,1,8,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,6,2,3,5,8,1]=>[1,8,5,3,2,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,2,3,4,8,1,6]=>[6,1,8,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,4,8,1,2,5,6]=>[6,5,2,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,6,3,5,4,8]=>[8,4,5,3,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,5,4,3,6,8]=>[8,6,3,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,4,5,3,6,8]=>[8,6,3,5,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,1,5,4,7,8]=>[8,7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,4,5,2,6,8]=>[8,6,2,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,5,4,2,6,8]=>[8,6,2,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,6,2,5,4,8]=>[8,4,5,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,6,2,5,4,8]=>[8,4,5,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,1,5,4,7,8]=>[8,7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,1,5,4,7,8]=>[8,7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,1,5,2,7,8]=>[8,7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,1,5,3,7,8]=>[8,7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,1,3,7,4,8]=>[8,4,7,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,1,3,7,4,8]=>[8,4,7,3,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,2,4,5,3,8]=>[8,3,5,4,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,2,5,4,3,8]=>[8,3,4,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,1,3,7,4,8]=>[8,4,7,3,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,1,3,7,4,8]=>[8,4,7,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,5,3,7,8]=>[8,7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,5,2,6,8]=>[8,6,2,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,5,3,2,6,8]=>[8,6,2,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,4,2,5,3,1,6,8]=>[8,6,1,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,1,5,2,4,8]=>[8,4,2,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,1,2,5,4,8]=>[8,4,5,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,6,2,1,5,3,8]=>[8,3,5,1,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,5,2,3,7,8]=>[8,7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,4,2,5,7,8]=>[8,7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,4,2,5,6,8]=>[8,6,5,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,4,2,6,5,8]=>[8,5,6,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,2,6,4,8]=>[8,4,6,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,6,2,5,4,8]=>[8,4,5,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,6,2,4,5,8]=>[8,5,4,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [2,3,4,5,7,6,8,9,10,1]=>[1,10,9,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,7,6,1,2,4,5,8]=>[8,5,4,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,7,5,8,3,6]=>[6,3,8,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,2,7,5,3,8,1]=>[1,8,3,5,7,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,6,5,8,1]=>[1,8,5,6,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,3,6,2,1,8]=>[8,1,2,6,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,5,4,1,8]=>[8,1,4,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,8,4,2,5,6]=>[6,5,2,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,3,6,4,7,2,5,8]=>[8,5,2,7,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,5,4,2,6,8]=>[8,6,2,4,5,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,3,1,4,2,5,6]=>[6,5,2,4,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,4,1,5,2,3,6,8]=>[8,6,3,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,3,7,5,2,8]=>[8,2,5,7,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,1,7,4,3,2,8]=>[8,2,3,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,6,8,2,4]=>[4,2,8,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,3,5,2,7,6,4,8]=>[8,4,6,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,4,6,2,8]=>[8,2,6,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,7,4,2,6,8]=>[8,6,2,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,7,2,6,8]=>[8,6,2,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,5,4,7,8,2,6]=>[6,2,8,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,5,7,4,8,2,6]=>[6,2,8,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,7,4,3,8,1,6]=>[6,1,8,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,3,7,4,8,1,6]=>[6,1,8,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,2,6,8,4,7,1]=>[1,7,4,8,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,4,8,3,1,5,6]=>[6,5,1,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [3,7,4,8,2,5,1,6]=>[6,1,5,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)=>1 [2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [2,5,6,3,7,8,1,4]=>[4,1,8,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,7,3,2,5,8,4,6]=>[6,4,8,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,2,5,3,7,1,8]=>[8,1,7,3,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,6,2,3,1,8]=>[8,1,3,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,4,1,8,3,5,2,6]=>[6,2,5,3,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,2,6,7,5,8,1,4]=>[4,1,8,5,7,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,6,1,5,7,2,8]=>[8,2,7,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,4,5,8,3,2,1,6]=>[6,1,2,3,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,3,6,5,4,8]=>[8,4,5,6,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8)=>1 [2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)=>1 [8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,8,1,5,3,2,4,6]=>[6,4,2,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,8,3,1,5,2,4,6]=>[6,4,2,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,4,5,7,3,6,8,1]=>[1,8,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,5,7,2,8,1,6]=>[6,1,8,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,6,3,5,7,2,8,1]=>[1,8,2,7,5,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,7,2,4,5,8,1]=>[1,8,5,4,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,5,7,2,8,1,4]=>[4,1,8,2,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,2,6,7,3,8,1]=>[1,8,3,7,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,3,5,1,7,8,2,4]=>[4,2,8,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,3,2,4,8,1,6]=>[6,1,8,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,5,4,2,1,8,3,6]=>[6,3,8,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,3,7,2,4,8,1]=>[1,8,4,2,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,3,2,7,4,8,1]=>[1,8,4,7,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,6,3,8,5,1]=>[1,5,8,3,6,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,4,7,5,2,3,8,1]=>[1,8,3,2,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,2,6,4,1,3,8]=>[8,3,1,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,4,2,7,1,5,6,8]=>[8,6,5,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,8,2,1,5,6]=>[6,5,1,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,5,7,1,3,8]=>[8,3,1,7,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,7,1,3,8]=>[8,3,1,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,4,3,5,2,8]=>[8,2,5,3,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,3,2,7,4,8]=>[8,4,7,2,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,7,3,5,8,1]=>[1,8,5,3,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,2,7,6,4,8,1]=>[1,8,4,6,7,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,5,7,4,3,8,2,6]=>[6,2,8,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,7,3,1,8,4,6]=>[6,4,8,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,7,3,4,8,2,6]=>[6,2,8,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,1,5,6,3,8]=>[8,3,6,5,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,6,5,2,4,8]=>[8,4,2,5,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,2,4,7,1,8]=>[8,1,7,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,3,7,8,2,6]=>[6,2,8,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,7,1,4,2,8]=>[8,2,4,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [8,9,2,3,4,5,6,7,10,1]=>[1,10,7,6,5,4,3,2,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [5,6,2,7,4,3,8,1]=>[1,8,3,4,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,7,3,2,5,8,1]=>[1,8,5,2,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,7,6,8,1,2]=>[2,1,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,1,2,3,5,4,6]=>[6,4,5,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,7,6,2,3,8]=>[8,3,2,6,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,4,2,8,3,5,7,1]=>[1,7,5,3,8,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,1,8,4,5,3,6]=>[6,3,5,4,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,5,7,3,2,6,8]=>[8,6,2,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,6,3,2,5,8]=>[8,5,2,3,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,3,5,6,4,8]=>[8,4,6,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [6,1,2,3,5,7,4,8]=>[8,4,7,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,3,8,6,1]=>[1,6,8,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [5,7,3,1,4,2,6,8]=>[8,6,2,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,5,4,8,1]=>[1,8,4,5,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,4,3,5,2,8]=>[8,2,5,3,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)=>7 [3,5,6,2,1,7,4,8]=>[8,4,7,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,3,2,7,8,5,6]=>[6,5,8,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,5,2,1,4,8]=>[8,4,1,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,1,7,5,3,6,2,8]=>[8,2,6,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,7,5,1,3,8]=>[8,3,1,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,7,4,8,1,6]=>[6,1,8,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,6,4,7,8,1,2]=>[2,1,8,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,3,6,4,2,8,7,1]=>[1,7,8,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,4,2,3,7,8,6,1]=>[1,6,8,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,4,2,6,3,8]=>[8,3,6,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,1,7,4,5,8]=>[8,5,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,7,2,8,5,6]=>[6,5,8,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,4,5,3,8,1,6]=>[6,1,8,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,7,6,2,8,1,4]=>[4,1,8,2,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,5,8,3,1,2,6]=>[6,2,1,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,2,3,6,8,1,4]=>[4,1,8,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,6,7,5,8,1,2]=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,2,4,3,8,5,1]=>[1,5,8,3,4,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,5,8,2,4,7,1]=>[1,7,4,2,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,7,5,3,1,8,4,6]=>[6,4,8,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,6,4,7,2,8,5,1]=>[1,5,8,2,7,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,5,3,2,8,6,7,1]=>[1,7,6,8,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,2,1,4,5,8,3,6]=>[6,3,8,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,1,7,2,5,8,4,6]=>[6,4,8,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,2,4,7,8,3,6]=>[6,3,8,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,4,3,6,2,1,5,8]=>[8,5,1,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,3,4,1,6,8]=>[8,6,1,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,3,1,5,6,8]=>[8,6,5,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,4,7,1,3,8]=>[8,3,1,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,2,1,8,3,4]=>[4,3,8,1,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [4,7,1,8,2,5,3,6]=>[6,3,5,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,6,5,1,4,7,3,8]=>[8,3,7,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [7,8,3,1,5,6,2,4]=>[4,2,6,5,1,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [5,3,7,8,4,6,1,2]=>[2,1,6,4,8,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,1,7,3,4,8,2,6]=>[6,2,8,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,7,1,6,4,2,8]=>[8,2,4,6,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [1,7,6,3,5,8,2,4]=>[4,2,8,5,3,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,7,4,6,5,2,8,1]=>[1,8,2,5,6,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,3,8,1,5,2,6]=>[6,2,5,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,1,3,7,6,4,8]=>[8,4,6,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,7,3,6,2,8]=>[8,2,6,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,1,5,4,2,8]=>[8,2,4,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,2,5,3,7,8]=>[8,7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,2,4,1,7,8]=>[8,7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,1,3,6,8]=>[8,6,3,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)=>7 [10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)=>8 [4,5,3,2,7,8,1,6]=>[6,1,8,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,3,4,7,5,8,1,6]=>[6,1,8,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,7,2,3,6,8,1]=>[1,8,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,2,7,5,3,8,4,6]=>[6,4,8,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,1,2,6,3,8]=>[8,3,6,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,4,3,5,7,8,1,6]=>[6,1,8,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,4,5,3,2,6,8]=>[8,6,2,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,2,5,7,4,8]=>[8,4,7,5,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,2,6,5,3,8]=>[8,3,5,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,8,2,3,5,1,4,6]=>[6,4,1,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,3,4,6,5,7,8,9,10,1]=>[1,10,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,3,5,6,4,7,8,9,1]=>[1,9,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [10,1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8)=>1 [4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8)=>1 [3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8)=>1 [7,9,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)=>1 [5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8)=>1 [6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,8),(6,8),(7,8),(8,4)],9)=>1 [3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8)=>1 [4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,7,6,1,2,8]=>[8,2,1,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,4,6,2,1,8]=>[8,1,2,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,4,6,1,8]=>[8,1,6,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,7,6,4,1,8]=>[8,1,4,6,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,6,4,1,8]=>[8,1,4,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,1,4,2,8]=>[8,2,4,1,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,6,1,4,8]=>[8,4,1,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,1,4,6,8]=>[8,6,4,1,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,7,1,4,6,8]=>[8,6,4,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,7,4,1,6,8]=>[8,6,1,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,5,4,7,1,6,8]=>[8,6,1,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,1,8,2,4]=>[4,2,8,1,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,2,6,7,1,5,4,8]=>[8,4,5,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,6,5,7,1,8,3,4]=>[4,3,8,1,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,1,6,3,5,8,2,4]=>[4,2,8,5,3,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,4,2,5,8,6,1]=>[1,6,8,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,2,4,6,1,8]=>[8,1,6,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,4,7,1,6,8]=>[8,6,1,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,3,7,8,2,6]=>[6,2,8,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,7,6,3,1,5,8]=>[8,5,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,7,5,2,4,8]=>[8,4,2,5,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,1,3,6,4,8]=>[8,4,6,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,4,7,5,2,8]=>[8,2,5,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,3,5,2,8]=>[8,2,5,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,2,7,4,1,8]=>[8,1,4,7,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,2,6,3,1,8]=>[8,1,3,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,3,5,7,1,8]=>[8,1,7,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,7,4,2,5,8]=>[8,5,2,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,1,2,6,5,8]=>[8,5,6,2,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,3,6,4,8]=>[8,4,6,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,4,7,5,8,3,6]=>[6,3,8,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,5,6,8,2,4]=>[4,2,8,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,4,2,7,8,5,1]=>[1,5,8,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,5,4,1,6,2,7,8]=>[8,7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,2,6,4,8,3,7,1]=>[1,7,3,8,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,1,7,5,2,3,6,8]=>[8,6,3,2,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,8,3,5,1,6]=>[6,1,5,3,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,7,5,2,1,8,3,4]=>[4,3,8,1,2,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,4,6,2,8,5,1]=>[1,5,8,2,6,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,5,2,6,8,3,7,1]=>[1,7,3,8,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,7,3,5,6,2,8,1]=>[1,8,2,6,5,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,2,1,7,4,8]=>[8,4,7,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,2,8,1,4]=>[4,1,8,2,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,4,2,3,8,6,1]=>[1,6,8,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,6,3,2,1,5,7,8]=>[8,7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,7,3,6,5,8]=>[8,5,6,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,2,4,5,3,8]=>[8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,4,6,8,5,7,1]=>[1,7,5,8,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,7,3,2,6,8,1,4]=>[4,1,8,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,7,4,3,2,6,8]=>[8,6,2,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,2,4,1,8]=>[8,1,4,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,4,7,8,3,6]=>[6,3,8,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,3,4,7,8,1,6]=>[6,1,8,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,4,3,6,8,5,1]=>[1,5,8,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,6,5,2,3,8,1]=>[1,8,3,2,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,6,5,1,3,2,8]=>[8,2,3,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,3,8,1,2]=>[2,1,8,3,5,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,2,1,7,3,6,8]=>[8,6,3,7,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,6,3,1,4,8]=>[8,4,1,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,1,6,5,2,8]=>[8,2,5,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,1,4,5,6,8]=>[8,6,5,4,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,8,3,5,1,6]=>[6,1,5,3,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,2,7,3,4,8,1]=>[1,8,4,3,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,6,3,1,2,8]=>[8,2,1,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,3,5,6,8,1]=>[1,8,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,2,3,1,5,6,8]=>[8,6,5,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,1,8,4,3,5,6]=>[6,5,3,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,1,6,7,3,8,2,4]=>[4,2,8,3,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,1,5,4,7,3,2,8]=>[8,2,3,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,2,3,7,4,8]=>[8,4,7,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,5,4,3,2,8]=>[8,2,3,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,1,6,4,3,8]=>[8,3,4,6,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,7,5,3,2,8]=>[8,2,3,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,4,6,3,1,8]=>[8,1,3,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,5,3,8,4,6]=>[6,4,8,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,1,4,3,8,5,6]=>[6,5,8,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,6,2,7,4,3,1,8]=>[8,1,3,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,5,2,6,1,8]=>[8,1,6,2,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,3,2,6,8,1]=>[1,8,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,2,6,3,4,8,1]=>[1,8,4,3,6,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,5,4,2,8,6,1]=>[1,6,8,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,4,7,8,5,3,1,6]=>[6,1,3,5,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,3,2,4,8,7,1]=>[1,7,8,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,7,4,8,1,2,3,6]=>[6,3,2,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [5,1,2,7,6,8,3,4]=>[4,3,8,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,1,7,2,5,8,3,4]=>[4,3,8,5,2,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,7,4,8,2,5,3,6]=>[6,3,5,2,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,4,1,7,2,6,8]=>[8,6,2,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,3,2,5,1,8]=>[8,1,5,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,3,4,8,6,1]=>[1,6,8,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,4,7,5,2,8]=>[8,2,5,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,3,4,1,6,8]=>[8,6,1,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,8,6,4,7,1]=>[1,7,4,6,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,7,5,3,4,8,1]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,4,8,2,3,7,1]=>[1,7,3,2,8,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,1,3,4,6,2,5,8]=>[8,5,2,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,5,2,4,1,8]=>[8,1,4,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,5,2,4,8,1]=>[1,8,4,2,5,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,6,4,8,1,2]=>[2,1,8,4,6,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,4,3,7,5,2,8,1]=>[1,8,2,5,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,3,8,2,7,1]=>[1,7,2,8,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,5,6,2,7,3,8,1]=>[1,8,3,7,2,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,3,5,2,7,8]=>[8,7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,4,1,3,5,8]=>[8,5,3,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,1,3,7,8]=>[8,7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,5,4,6,3,8]=>[8,3,6,4,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,5,6,2,4,8]=>[8,4,2,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,1,4,5,3,2,7,8]=>[8,7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,6,7,4,3,8,5,1]=>[1,5,8,3,4,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,2,4,7,3,8,6,1]=>[1,6,8,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,7,2,8,1,5,4,6]=>[6,4,5,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,5,2,3,4,8]=>[8,4,3,2,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,7,2,3,4,8]=>[8,4,3,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,6,2,3,4,8]=>[8,4,3,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,8,5,2,7,1]=>[1,7,2,5,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,4,6,3,5,7,8,1]=>[1,8,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,5,2,6,1,8]=>[8,1,6,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,3,2,6,1,8]=>[8,1,6,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,2,3,7,8,1]=>[1,8,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,1,3,6,8,2,4]=>[4,2,8,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,3,1,7,8,2,4]=>[4,2,8,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,8,6,4,7,1]=>[1,7,4,6,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,7,4,8,1,6]=>[6,1,8,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,2,3,7,8,5,1]=>[1,5,8,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,7,2,8,4,5,1,6]=>[6,1,5,4,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,1,6,3,2,8]=>[8,2,3,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,2,7,4,8,3,6]=>[6,3,8,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,7,5,8,3,6]=>[6,3,8,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,7,8,4,5,3,6]=>[6,3,5,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,6,2,7,1,5,4,8]=>[8,4,5,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,7,6,8,2,4]=>[4,2,8,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,2,5,7,6,8,1,4]=>[4,1,8,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,2,7,4,8,5,1]=>[1,5,8,4,7,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,3,2,6,8,4,7,1]=>[1,7,4,8,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,5,2,7,3,8,1,4]=>[4,1,8,3,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,2,6,7,3,1,8]=>[8,1,3,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,7,2,4,1,8]=>[8,1,4,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,1,2,7,5,8,3,6]=>[6,3,8,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,3,6,4,8,5,1]=>[1,5,8,4,6,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,2,7,6,4,8,5,1]=>[1,5,8,4,6,7,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,4,1,7,6,3,2,8]=>[8,2,3,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,5,3,2,8]=>[8,2,3,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,7,6,1,4,3,2,8]=>[8,2,3,4,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,4,5,7,2,8]=>[8,2,7,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,7,3,5,1,2,8]=>[8,2,1,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,7,1,6,8]=>[8,6,1,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,8,2,1,3,6]=>[6,3,1,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,7,4,6,2,8]=>[8,2,6,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,2,5,1,3,8]=>[8,3,1,5,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,1,4,6,3,8]=>[8,3,6,4,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,1,3,7,8]=>[8,7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,2,4,1,3,8]=>[8,3,1,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,8,4,3,5,6]=>[6,5,3,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,5,3,4,7,8,2,6]=>[6,2,8,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,1,5,7,8,3,6]=>[6,3,8,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,3,1,7,8,4,6]=>[6,4,8,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [1,4,6,2,7,5,3,8]=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,2,5,6,4,8]=>[8,4,6,5,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,6,2,8,5,1]=>[1,5,8,2,6,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,7,5,4,3,8]=>[8,3,4,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,6,5,4,3,8]=>[8,3,4,5,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,1,5,3,2,8]=>[8,2,3,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,6,3,8,1]=>[1,8,3,6,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,2,3,5,7,8,1]=>[1,8,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,4,7,5,8,1]=>[1,8,5,7,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,7,3,5,6,8,1]=>[1,8,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,1,8,2,5,4,6]=>[6,4,5,2,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,8,2,3,5,4,1,6]=>[6,1,4,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,5,2,6,7,8]=>[8,7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,1,7,3,2,8]=>[8,2,3,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,1,7,4,8]=>[8,4,7,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,7,1,5,6,8]=>[8,6,5,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,6,3,8,1,2]=>[2,1,8,3,6,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,2,8,5,1,4,6]=>[6,4,1,5,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,1,4,3,7,8]=>[8,7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,3,4,6,1,8]=>[8,1,6,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,1,7,6,3,4,2,8]=>[8,2,4,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,5,1,8,4,6]=>[6,4,8,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,7,8,3,4,2,6]=>[6,2,4,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,6,8,3,1,2,4]=>[4,2,1,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [3,5,6,8,4,2,7,1]=>[1,7,2,4,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,2,8,5,7,1]=>[1,7,5,8,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,6,2,3,5,1,7,8]=>[8,7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,7,4,3,6,8]=>[8,6,3,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,5,2,7,4,8]=>[8,4,7,2,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,6,8,3,4]=>[4,3,8,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,2,4,5,3,7,8]=>[8,7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,2,5,3,4,8]=>[8,4,3,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,8,2,4,5,6]=>[6,5,4,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,1,6,2,5,7,4,8]=>[8,4,7,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,2,5,6,4,8]=>[8,4,6,5,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,1,6,3,5,8]=>[8,5,3,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,1,4,5,7,8]=>[8,7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,1,4,3,2,8,5,6]=>[6,5,8,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,7,2,4,8,1]=>[1,8,4,2,7,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,2,3,8,6,7,1]=>[1,7,6,8,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,1,3,6,2,7,4,8]=>[8,4,7,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,2,5,8,3,4]=>[4,3,8,5,2,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,2,3,6,8,7,1]=>[1,7,8,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,6,3,5,2,8,7,1]=>[1,7,8,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [4,7,5,2,3,8,6,1]=>[1,6,8,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,4,7,3,2,5,8,1]=>[1,8,5,2,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,2,5,8,6,1]=>[1,6,8,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,7,3,2,5,8,6,1]=>[1,6,8,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,7,3,2,6,8,5,1]=>[1,5,8,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,7,6,2,3,8,5,1]=>[1,5,8,3,2,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,6,3,2,5,8,1,4]=>[4,1,8,5,2,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,6,4,2,5,3,7,8]=>[8,7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,2,4,5,7,8]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,4,6,3,7,8]=>[8,7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [9,2,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,5,6,3,4,7,1,8]=>[8,1,7,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,3,4,2,7,8]=>[8,7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,6,4,2,7,8]=>[8,7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,7,4,6,2,8]=>[8,2,6,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,3,7,4,2,8]=>[8,2,4,7,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,6,3,2,1,8]=>[8,1,2,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,3,6,1,8]=>[8,1,6,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,7,6,4,1,8]=>[8,1,4,6,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,3,5,4,1,8]=>[8,1,4,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,5,3,4,1,8]=>[8,1,4,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,2,1,7,4,5,3,8]=>[8,3,5,4,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,3,2,6,1,4]=>[4,1,6,2,3,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [2,6,7,5,4,1,3,8]=>[8,3,1,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,5,6,8,1,2]=>[2,1,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,3,6,5,7,8,1,4]=>[4,1,8,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,5,2,3,8,6,7,1]=>[1,7,6,8,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,6,7,2,4,3,8,1]=>[1,8,3,4,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,1,4,5,8,2,6]=>[6,2,8,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,7,2,8,1,6]=>[6,1,8,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,7,8,3,5,2,6]=>[6,2,5,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,2,3,1,8,4,6]=>[6,4,8,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,5,2,4,1,3,6]=>[6,3,1,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [4,7,1,2,6,3,5,8]=>[8,5,3,6,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,1,6,3,5,8]=>[8,5,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,4,1,5,6,8]=>[8,6,5,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,4,6,7,8,1]=>[1,8,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,7,4,6,8,1]=>[1,8,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,4,8,5,7,1]=>[1,7,5,8,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,4,6,1,7,2,3,8]=>[8,3,2,7,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,4,5,6,2,8]=>[8,2,6,5,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,8,3,7,1]=>[1,7,3,8,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,7,3,2,4,6,5,8]=>[8,5,6,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,1,7,4,6,5,8]=>[8,5,6,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,3,2,6,4,8]=>[8,4,6,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,2,6,4,8]=>[8,4,6,2,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,3,1,4,2,8]=>[8,2,4,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,8,4,5,7,3,2,1]=>[1,2,3,7,5,4,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [5,2,1,3,6,7,4,8]=>[8,4,7,6,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,1,7,5,6,8]=>[8,6,5,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,4,3,5,6,8]=>[8,6,5,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,5,1,2,8]=>[8,2,1,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,6,3,7,1,4,8]=>[8,4,1,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,5,7,3,6,8,2,4]=>[4,2,8,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,4,5,1,7,6,3,8]=>[8,3,6,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,2,1,5,8]=>[8,5,1,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,3,1,5,2,8]=>[8,2,5,1,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,1,7,4,8]=>[8,4,7,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,5,3,7,4,2,1,8]=>[8,1,2,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,5,3,6,1,8]=>[8,1,6,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,7,4,6,3,8]=>[8,3,6,4,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,3,4,6,8,1]=>[1,8,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,7,4,2,5,8,1]=>[1,8,5,2,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,7,2,5,8,1]=>[1,8,5,2,7,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,6,1,2,4,3,8]=>[8,3,4,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,7,2,5,4,8]=>[8,4,5,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,4,6,7,8]=>[8,7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [2,7,5,8,3,1,4,6]=>[6,4,1,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,5,6,3,4,8,1]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,5,6,3,1,4,8]=>[8,4,1,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,6,3,1,2,8]=>[8,2,1,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,3,6,1,2,8]=>[8,2,1,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,3,1,4,2,8]=>[8,2,4,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,3,1,6,2,8]=>[8,2,6,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,1,6,4,8]=>[8,4,6,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,6,1,4,8]=>[8,4,1,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,6,4,8,1]=>[1,8,4,6,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,5,3,1,8,2,6]=>[6,2,8,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,5,3,1,8,2,4]=>[4,2,8,1,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,5,3,6,8,1,2]=>[2,1,8,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,7,5,3,6,8,1,4]=>[4,1,8,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,5,3,4,8,1,6]=>[6,1,8,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,5,3,4,8,6,1]=>[1,6,8,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,7,5,3,4,6,8,1]=>[1,8,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,5,3,4,6,1,8]=>[8,1,6,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,4,1,6,8]=>[8,6,1,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,3,1,4,6,8]=>[8,6,4,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,3,1,2,6,8]=>[8,6,2,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,8,4,2,3,6]=>[6,3,2,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,3,6,4,2,5,7,8]=>[8,7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,8,2,4,3,6]=>[6,3,4,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,1,7,3,2,6,8]=>[8,6,2,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,1,4,2,7,8]=>[8,7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,8,4,2,7,1]=>[1,7,2,4,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,2,7,5,8,1]=>[1,8,5,7,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,7,1,6,3,4,8]=>[8,4,3,6,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,3,4,8,5,6]=>[6,5,8,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,6,4,7,3,1,5,8]=>[8,5,1,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,7,3,8,5,1]=>[1,5,8,3,7,4,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [1,6,7,2,4,3,5,8]=>[8,5,3,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,7,3,6,2,8]=>[8,2,6,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,3,5,2,4,7,1,8]=>[8,1,7,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,7,6,1,2,8]=>[8,2,1,6,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,3,2,7,6,8]=>[8,6,7,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,1,8,5,6]=>[6,5,8,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,6,3,1,7,2,8]=>[8,2,7,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,1,6,7,2,8]=>[8,2,7,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [1,6,3,7,4,5,2,8]=>[8,2,5,4,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,7,4,8,5,1]=>[1,5,8,4,7,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,5,2,7,6,3,4,8]=>[8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,3,1,7,4,8]=>[8,4,7,1,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,6,1,4,3,8]=>[8,3,4,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,2,5,7,3,8]=>[8,3,7,5,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,4,5,3,7,8]=>[8,7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,2,4,6,3,8]=>[8,3,6,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,4,1,3,2,8]=>[8,2,3,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,1,4,6,5,8]=>[8,5,6,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,4,3,2,5,8]=>[8,5,2,3,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,4,8,7,1]=>[1,7,8,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [2,4,5,3,8,6,7,1]=>[1,7,6,8,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,3,5,2,8,6,7,1]=>[1,7,6,8,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,5,2,4,3,8,6,1]=>[1,6,8,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,3,5,8,4,6,7,1]=>[1,7,6,4,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,5,2,8,4,6,7,1]=>[1,7,6,4,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,8,2,6,7,1]=>[1,7,6,2,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,4,2,8,3,6,7,1]=>[1,7,6,3,8,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,3,4,8,2,6,7,1]=>[1,7,6,2,8,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,8,3,6,7,1]=>[1,7,6,3,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,3,2,5,8,4,7,1]=>[1,7,4,8,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,1,2,7,3,5,4,8]=>[8,4,5,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,2,7,1,6,8]=>[8,6,1,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,4,5,2,8,6,7,1]=>[1,7,6,8,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,7,4,2,1,5,3,8]=>[8,3,5,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,1,3,6,2,8]=>[8,2,6,3,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,5,1,8,3,6]=>[6,3,8,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,6,1,2,5,7,4,8]=>[8,4,7,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,7,4,1,8]=>[8,1,4,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,3,7,5,8,1]=>[1,8,5,7,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,5,6,1,2,8,3,4]=>[4,3,8,2,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,6,5,7,1,2,8]=>[8,2,1,7,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,5,6,3,1,8]=>[8,1,3,6,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,6,3,4,2,8]=>[8,2,4,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,2,4,1,6,5,8]=>[8,5,6,1,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,1,6,3,8]=>[8,3,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,8,5,3,1,6]=>[6,1,3,5,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,1,3,6,8,2,4]=>[4,2,8,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,1,3,5,4,2,6]=>[6,2,4,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,2,7,8,4,6]=>[6,4,8,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,7,2,6,4,1,8]=>[8,1,4,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,5,3,4,1,8]=>[8,1,4,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,4,5,3,1,8]=>[8,1,3,5,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,2,3,5,1,8]=>[8,1,5,3,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,4,3,5,1,8]=>[8,1,5,3,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,3,5,4,1,8]=>[8,1,4,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,8,4,3,1,5,2,6]=>[6,2,5,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,5,6,1,3,4,2,8]=>[8,2,4,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,1,3,4,2,6]=>[6,2,4,3,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,5,1,3,4,2,6,8]=>[8,6,2,4,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,4,8,1,2]=>[2,1,8,4,6,5,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,1,5,3,6,2,4,8]=>[8,4,2,6,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,8,3,4,2,6]=>[6,2,4,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,5,6,3,4,2,8]=>[8,2,4,3,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,4,1,2,8]=>[8,2,1,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,8,4,1,2,6]=>[6,2,1,4,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,1,2,5,8,4,6]=>[6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,2,7,5,8,4,6]=>[6,4,8,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,3,1,5,4,6,2,8]=>[8,2,6,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,2,6,4,8]=>[8,4,6,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,4,2,3,1,8]=>[8,1,3,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,4,2,8,1,6]=>[6,1,8,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,2,4,3,8,1,6]=>[6,1,8,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,5,7,1,6,4,8]=>[8,4,6,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,2,6,1,4,8]=>[8,4,1,6,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,5,6,4,3,8]=>[8,3,4,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,4,1,7,2,8]=>[8,2,7,1,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,1,7,4,3,8]=>[8,3,4,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [1,2,7,8,4,3,5,6]=>[6,5,3,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,2,4,7,5,8,1,6]=>[6,1,8,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,8,7,6,5,3,1,4]=>[4,1,3,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8)=>4 [3,8,7,6,4,2,5,1]=>[1,5,2,4,6,7,8,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,2,4,7,6,8,1]=>[1,8,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,6,4,7,8,1]=>[1,8,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,6,7,4,8,1]=>[1,8,4,7,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,2,7,6,4,8,1]=>[1,8,4,6,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,5,7,4,6,8,1]=>[1,8,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,5,2,4,8,6,1]=>[1,6,8,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,7,1,2,6,8,3,4]=>[4,3,8,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,4,3,1,8,5,6]=>[6,5,8,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,4,1,5,3,2,8]=>[8,2,3,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,5,3,8,1,6]=>[6,1,8,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [4,5,7,3,6,8,1,2]=>[2,1,8,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,3,7,6,5,1,4,8]=>[8,4,1,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,5,7,1,4,8]=>[8,4,1,7,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,4,1,5,7,8]=>[8,7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,6,1,8,3,4]=>[4,3,8,1,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,1,5,2,6,3,4,8]=>[8,4,3,6,2,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,1,6,5,2,8]=>[8,2,5,6,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,7,1,5,2,8]=>[8,2,5,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,1,4,5,2,8]=>[8,2,5,4,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,6,5,8,1,4]=>[4,1,8,5,6,7,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,2,5,3,6,4,1,8]=>[8,1,4,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,3,7,4,1,8]=>[8,1,4,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,3,7,5,1,8]=>[8,1,5,7,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,3,6,4,1,8]=>[8,1,4,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,3,6,5,2,8]=>[8,2,5,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,3,1,6,4,8]=>[8,4,6,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,4,1,6,5,8]=>[8,5,6,1,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,3,1,6,4,8]=>[8,4,6,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,5,3,7,4,8]=>[8,4,7,3,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,2,6,4,3,8]=>[8,3,4,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,4,6,2,8]=>[8,2,6,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,5,1,6,4,8]=>[8,4,6,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,8,4,5,7,1]=>[1,7,5,4,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,8,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [2,6,1,5,4,7,3,8]=>[8,3,7,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,5,7,8,1,2]=>[2,1,8,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,6,5,2,1,4,8]=>[8,4,1,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,6,1,8,2,4]=>[4,2,8,1,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,2,4,6,1,5,8]=>[8,5,1,6,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,10,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,10,9]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [6,4,7,3,2,1,5,8]=>[8,5,1,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,1,7,4,8]=>[8,4,7,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,7,2,1,6,8]=>[8,6,1,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,4,5,2,8,1]=>[1,8,2,5,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,4,6,2,8,1]=>[1,8,2,6,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,6,2,4,8,1]=>[1,8,4,2,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,7,3,5,2,8,1]=>[1,8,2,5,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,6,4,2,8,1]=>[1,8,2,4,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,7,6,5,8,1,4]=>[4,1,8,5,6,7,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,3,2,5,8,1,4]=>[4,1,8,5,2,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [10,1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [10,1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,5,2,4,3,6,8,1]=>[1,8,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,2,6,4,3,5,8,1]=>[1,8,5,3,4,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,6,2,4,5,8,1]=>[1,8,5,4,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,5,1,3,2,4,8]=>[8,4,2,3,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,3,4,6,1,8]=>[8,1,6,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,4,2,5,3,1,8]=>[8,1,3,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,6,3,2,4,8]=>[8,4,2,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,1,6,3,4,8]=>[8,4,3,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,5,4,2,3,8]=>[8,3,2,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,1,4,7,3,8]=>[8,3,7,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,7,1,4,5,8]=>[8,5,4,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,6,4,1,7,8]=>[8,7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [4,3,7,2,1,8,5,6]=>[6,5,8,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,4,3,2,8,5,6]=>[6,5,8,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,3,6,4,2,5,1,8]=>[8,1,5,2,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,2,6,1,8]=>[8,1,6,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,8,5,4,3,6]=>[6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,5,2,6,4,1,8]=>[8,1,4,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,5,2,6,1,4,8]=>[8,4,1,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,2,7,3,1,8]=>[8,1,3,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,7,1,6,2,8]=>[8,2,6,1,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,2,5,4,8,1]=>[1,8,4,5,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,4,1,6,7,5,3,8]=>[8,3,5,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,1,5,2,4,8]=>[8,4,2,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,5,1,8,4,6]=>[6,4,8,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,1,4,2,3,5,6]=>[6,5,3,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [8,5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [5,2,1,4,3,7,6,8]=>[8,6,7,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,8,3,2,1,6]=>[6,1,2,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,5,7,8,3,2,1,6]=>[6,1,2,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,3,4,2,6,8,1]=>[1,8,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,2,3,6,8,1]=>[1,8,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,3,2,8,1,6]=>[6,1,8,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,4,7,8,2,1,3,6]=>[6,3,1,2,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,1,3,7,2,6,5,8]=>[8,5,6,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,3,2,8,5,7,1]=>[1,7,5,8,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,4,3,7,2,6,8,1]=>[1,8,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,7,2,1,6,8]=>[8,6,1,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [8,2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,3,5,6,8,2,7,1]=>[1,7,2,8,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,8,1,3,5,2,4,6]=>[6,4,2,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [1,3,7,8,5,2,4,6]=>[6,4,2,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,7,6,4,8,1,2]=>[2,1,8,4,6,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [1,3,7,8,5,4,2,6]=>[6,2,4,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,3,7,8,2,5,4,6]=>[6,4,5,2,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,5,7,4,6,8,1,2]=>[2,1,8,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,4,2,1,3,6,5,8]=>[8,5,6,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,1,5,2,4,8]=>[8,4,2,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,8,5,4,1,6]=>[6,1,4,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,4,7,3,2,6,5,8]=>[8,5,6,2,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,5,3,1,7,8]=>[8,7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,3,1,6,8]=>[8,6,1,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,5,7,3,4,8]=>[8,4,3,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,5,2,7,4,8]=>[8,4,7,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,1,7,3,4,8]=>[8,4,3,7,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,4,7,5,1,8]=>[8,1,5,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,7,4,8,1,6]=>[6,1,8,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [5,3,4,6,2,8,7,1]=>[1,7,8,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [6,5,2,3,7,4,1,8]=>[8,1,4,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,7,4,1,2,8]=>[8,2,1,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,5,3,8,1,2]=>[2,1,8,3,5,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [2,5,6,3,7,4,1,8]=>[8,1,4,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,7,5,6,2,8]=>[8,2,6,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,1,5,7,3,8]=>[8,3,7,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,5,3,6,2,8]=>[8,2,6,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,4,5,3,6,8]=>[8,6,3,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,2,7,5,8,1,6]=>[6,1,8,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [2,4,7,6,3,8,5,1]=>[1,5,8,3,6,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,2,5,8,3,6,7,1]=>[1,7,6,3,8,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,6,8,4,7,1]=>[1,7,4,8,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,2,3,4,7,8,5,1]=>[1,5,8,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,7,6,2,3,5,4,8]=>[8,4,5,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,7,6,1,2,8,3,4]=>[4,3,8,2,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,7,4,6,3,5,1,8]=>[8,1,5,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,8,2,4,7,1]=>[1,7,4,2,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [1,7,4,8,5,2,3,6]=>[6,3,2,5,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,2,6,3,4,8,1]=>[1,8,4,3,6,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [3,4,6,5,8,2,7,1]=>[1,7,2,8,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [6,3,4,7,2,1,5,8]=>[8,5,1,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,7,2,4,8,1]=>[1,8,4,2,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,6,7,2,4,1,8]=>[8,1,4,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,7,4,1,2,8]=>[8,2,1,4,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,6,4,8,1,2]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,5,2,6,3,8,7,1]=>[1,7,8,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,4,5,8,6,2,7,1]=>[1,7,2,6,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,6,3,4,8,7,1]=>[1,7,8,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,6,2,5,8,1,4]=>[4,1,8,5,2,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,1,8,5,4,2,6]=>[6,2,4,5,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,3,1,2,7,4,5,8]=>[8,5,4,7,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,4,2,3,5,8]=>[8,5,3,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,1,6,5,8]=>[8,5,6,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,8,1,3,2,6]=>[6,2,3,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,5,7,1,4,6,3,8]=>[8,3,6,4,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,1,6,3,5,8]=>[8,5,3,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,3,1,4,6,8]=>[8,6,4,1,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,7,1,8,2,4]=>[4,2,8,1,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,3,6,4,7,1,2,8]=>[8,2,1,7,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,4,7,2,3,8]=>[8,3,2,7,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,4,8,3,1,2,6]=>[6,2,1,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,2,5,7,3,1,6,8]=>[8,6,1,3,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,5,2,1,6,8]=>[8,6,1,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,5,7,3,2,6,8]=>[8,6,2,3,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,4,7,2,6,8]=>[8,6,2,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,4,7,8,3,6]=>[6,3,8,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,1,6,4,2,7,8]=>[8,7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,1,7,2,5,8]=>[8,5,2,7,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,7,4,5,1,8]=>[8,1,5,4,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,5,7,1,4,8]=>[8,4,1,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,7,1,4,8]=>[8,4,1,7,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,2,5,7,4,8]=>[8,4,7,5,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,1,4,3,7,8]=>[8,7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,5,2,7,3,8]=>[8,3,7,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,3,7,2,4,8]=>[8,4,2,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,4,7,5,3,6,8]=>[8,6,3,5,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,6,5,1,2,8]=>[8,2,1,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,6,1,8,2,4]=>[4,2,8,1,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,6,2,5,7,3,8,1]=>[1,8,3,7,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,2,6,4,7,8]=>[8,7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,8,6,4,7,1]=>[1,7,4,6,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,5,2,3,6,1,4,8]=>[8,4,1,6,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,2,4,8,3,6]=>[6,3,8,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,1,6,3,2,4,5,8]=>[8,5,4,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,1,5,2,3,8]=>[8,3,2,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,2,4,7,3,8]=>[8,3,7,4,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,5,2,6,8,1]=>[1,8,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [6,3,5,2,4,1,7,8]=>[8,7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,7,3,6,1,8]=>[8,1,6,3,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,3,4,2,7,8]=>[8,7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,3,2,6,1,8]=>[8,1,6,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,2,1,6,3,8]=>[8,3,6,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,7,3,6,2,8]=>[8,2,6,3,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,3,5,2,1,8]=>[8,1,2,5,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,4,2,8,5,1]=>[1,5,8,2,4,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,6,3,2,7,8,5,1]=>[1,5,8,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,6,1,3,4,2,5,8]=>[8,5,2,4,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,4,5,6,3,8]=>[8,3,6,5,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,3,1,5,4,8]=>[8,4,5,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,1,6,4,7,3,2,8]=>[8,2,3,7,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [8,6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [5,7,4,2,3,8,6,1]=>[1,6,8,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9)=>1 [3,2,7,6,4,5,8,1]=>[1,8,5,4,6,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,8,1,3,2,6]=>[6,2,3,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,8,1,5,2,6]=>[6,2,5,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,1,5,3,8,4,6]=>[6,4,8,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,6,3,7,2,5,4,8]=>[8,4,5,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,8,4,1,3,6]=>[6,3,1,4,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,4,2,7,1,6,5,8]=>[8,5,6,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,5,7,6,3,8]=>[8,3,6,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,6,4,2,5,8]=>[8,5,2,4,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,3,2,7,5,8]=>[8,5,7,2,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,6,4,2,3,8]=>[8,3,2,4,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,5,2,7,4,8]=>[8,4,7,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,8,4,2,3,6]=>[6,3,2,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,1,4,2,6,5,8]=>[8,5,6,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,3,2,5,4,8]=>[8,4,5,2,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,4,2,5,3,8]=>[8,3,5,2,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,2,5,3,8]=>[8,3,5,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,5,1,4,3,8]=>[8,3,4,1,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,7,2,6,4,8]=>[8,4,6,2,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,4,2,7,3,8]=>[8,3,7,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,2,6,3,5,8,1,4]=>[4,1,8,5,3,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,4,2,7,8,5,1]=>[1,5,8,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,5,3,2,6,4,1,8]=>[8,1,4,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,2,1,5,6,8]=>[8,6,5,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,4,5,3,1,8]=>[8,1,3,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,5,1,2,8]=>[8,2,1,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,6,3,5,2,8]=>[8,2,5,3,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,7,5,6,4,8]=>[8,4,6,5,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,4,7,2,3,8]=>[8,3,2,7,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,1,5,3,7,8,2,4]=>[4,2,8,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,2,1,4,3,6,8]=>[8,6,3,4,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,5,6,1,4,8]=>[8,4,1,6,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,3,4,5,2,8]=>[8,2,5,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,8,5,3,7,1]=>[1,7,3,5,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,7,3,4,5,8,6,1]=>[1,6,8,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [3,1,2,6,5,4,7,8]=>[8,7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,5,1,2,7,8]=>[8,7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,2,4,5,1,8]=>[8,1,5,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,1,4,5,3,8]=>[8,3,5,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,1,2,8,4,6]=>[6,4,8,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,6,3,5,1,7,4,8]=>[8,4,7,1,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,5,2,3,6,7,8,9,1]=>[1,9,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,5,4,8,2,6,7,1]=>[1,7,6,2,8,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,5,1,8,3,4,2,6]=>[6,2,4,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,5,7,6,2,8,3,4]=>[4,3,8,2,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,5,6,8,2,3,7,1]=>[1,7,3,2,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,7,5,4,3,1,6,8]=>[8,6,1,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,6,1,5,3,8]=>[8,3,5,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,1,6,5,4,8]=>[8,4,5,6,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,7,2,6,5,8]=>[8,5,6,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,4,1,8,2,5,3,6]=>[6,3,5,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,2,5,1,6,8,3,4]=>[4,3,8,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,7,4,3,6,2,5,8]=>[8,5,2,6,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,8,4,2,7,1]=>[1,7,2,4,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,6,2,4,5,8,7,1]=>[1,7,8,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,5,1,4,6,2,7,8]=>[8,7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,5,2,4,3,8,1]=>[1,8,3,4,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,3,5,1,4,6,8]=>[8,6,4,1,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,1,5,7,2,8]=>[8,2,7,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [3,2,6,4,1,5,7,8]=>[8,7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,5,4,7,8,3,6]=>[6,3,8,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,1,2,5,3,6,8]=>[8,6,3,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,2,7,5,3,8]=>[8,3,5,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,5,2,8,6,1]=>[1,6,8,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,2,7,1,5,3,6,8]=>[8,6,3,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,8,2,5,1,6]=>[6,1,5,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,5,1,6,2,7,8]=>[8,7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,5,4,6,2,3,8]=>[8,3,2,6,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,1,7,6,2,8]=>[8,2,6,7,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,7,4,2,3,8]=>[8,3,2,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,1,4,2,7,8]=>[8,7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,4,8,7,1]=>[1,7,8,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,2,3,6,7,4,1,8]=>[8,1,4,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,7,4,5,1,8]=>[8,1,5,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,1,6,4,5,8]=>[8,5,4,6,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,4,7,8,5,1]=>[1,5,8,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,2,3,6,4,8,7,1]=>[1,7,8,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,7,6,2,5,4,8,1]=>[1,8,4,5,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,5,2,7,6,3,8,1]=>[1,8,3,6,7,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,2,4,7,3,8,1]=>[1,8,3,7,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,4,6,8,3,2,7,1]=>[1,7,2,3,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,4,7,3,2,6,1,8]=>[8,1,6,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,3,5,2,1,8]=>[8,1,2,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,6,3,5,7,4,8]=>[8,4,7,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,2,7,3,4,8]=>[8,4,3,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,3,5,1,6,8]=>[8,6,1,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,2,4,3,5,8]=>[8,5,3,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,4,5,3,7,8]=>[8,7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,5,3,1,6,8]=>[8,6,1,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,4,2,1,6,8]=>[8,6,1,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [1,7,4,8,3,5,2,6]=>[6,2,5,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,4,1,5,3,2,7,8]=>[8,7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,5,4,3,7,8]=>[8,7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,5,2,8,6,1]=>[1,6,8,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,7,5,4,3,8,6,1]=>[1,6,8,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,6,2,8,3,5,7,1]=>[1,7,5,3,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [2,5,1,7,4,8,3,6]=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,7,4,2,8,3,6]=>[6,3,8,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,5,1,3,4,6,8]=>[8,6,4,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,4,8,3,7,1]=>[1,7,3,8,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,3,2,4,7,8,1,6]=>[6,1,8,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,5,7,3,8,1,6]=>[6,1,8,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,7,6,1,8,3,4]=>[4,3,8,1,6,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,2,5,6,3,1,8]=>[8,1,3,6,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,6,7,8,2,4]=>[4,2,8,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,1,3,5,7,8,2,6]=>[6,2,8,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,7,4,3,5,8]=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [2,4,7,1,5,8,3,6]=>[6,3,8,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,3,6,7,4,2,8,1]=>[1,8,2,4,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,2,4,6,8,5,7,1]=>[1,7,5,8,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,4,7,2,3,8,6,1]=>[1,6,8,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,5,7,8,1,3,2,4]=>[4,2,3,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [4,7,3,6,5,2,8,1]=>[1,8,2,5,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,4,7,2,8,3,6]=>[6,3,8,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,1,3,4,2,5,8]=>[8,5,2,4,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,4,2,5,7,8]=>[8,7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,8,2,1,3,4]=>[4,3,1,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [5,7,3,4,2,1,6,8]=>[8,6,1,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,6,2,4,5,8]=>[8,5,4,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,1,6,7,2,8]=>[8,2,7,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,1,2,3,8]=>[8,3,2,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,5,7,3,1,8]=>[8,1,3,7,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,7,3,1,8]=>[8,1,3,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,8,2,1,5,6]=>[6,5,1,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,5,3,4,8,1,6]=>[6,1,8,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,3,7,1,2,6,8]=>[8,6,2,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,6,2,7,4,1,3,8]=>[8,3,1,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,6,5,4,8,1,2]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,1,2,5,3,4,7,8]=>[8,7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,4,6,3,7,8]=>[8,7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,5,4,3,7,8]=>[8,7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,5,7,2,3,8]=>[8,3,2,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,8,1,3,2,4]=>[4,2,3,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>4 [7,1,3,2,4,6,5,8]=>[8,5,6,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,2,5,6,8]=>[8,6,5,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,4,2,3,6,8]=>[8,6,3,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,1,3,6,2,8]=>[8,2,6,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,1,3,7,8]=>[8,7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,7,6,3,2,8]=>[8,2,3,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,7,6,3,2,8]=>[8,2,3,6,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,1,4,5,2,8]=>[8,2,5,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,5,2,8,3,6]=>[6,3,8,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,2,5,3,8,6,1]=>[1,6,8,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,3,4,7,5,8,6,1]=>[1,6,8,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [1,5,3,7,4,2,6,8]=>[8,6,2,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,4,3,2,5,8]=>[8,5,2,3,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,6,2,5,1,8]=>[8,1,5,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,6,3,5,2,4,8]=>[8,4,2,5,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,3,7,6,2,4,8]=>[8,4,2,6,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,2,6,4,8,5,7,1]=>[1,7,5,8,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,5,7,1,2,8,3,4]=>[4,3,8,2,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,7,5,2,4,3,1,8]=>[8,1,3,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,2,4,1,7,8]=>[8,7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,1,6,2,5,8]=>[8,5,2,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,7,6,1,5,8]=>[8,5,1,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,5,8,1,2]=>[2,1,8,5,6,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [7,8,5,1,2,4,3,6]=>[6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,7,6,3,1,2,4,8]=>[8,4,2,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,7,1,4,5,8]=>[8,5,4,1,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,1,7,8,2,6]=>[6,2,8,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,1,8,5,4,3,6]=>[6,3,4,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,7,4,6,1,2,8]=>[8,2,1,6,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,1,3,2,4,8]=>[8,4,2,3,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,1,2,7,6,8]=>[8,6,7,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,1,3,2,4,8]=>[8,4,2,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,1,3,6,2,4]=>[4,2,6,3,1,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [7,8,3,1,5,4,2,6]=>[6,2,4,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,5,4,1,7,6,2,8]=>[8,2,6,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,4,7,6,2,8]=>[8,2,6,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,8,2,5,4,6]=>[6,4,5,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,1,5,4,2,7,6,8]=>[8,6,7,2,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,4,7,2,6,8]=>[8,6,2,7,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,1,3,8,2,4]=>[4,2,8,3,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,1,5,7,4,2,6,8]=>[8,6,2,4,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,6,2,4,8]=>[8,4,2,6,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,7,2,4,5,8]=>[8,5,4,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,4,5,2,6,8]=>[8,6,2,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,8,5,3,2,6]=>[6,2,3,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,2,3,7,8,1,4]=>[4,1,8,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,7,5,6,2,8,1,4]=>[4,1,8,2,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,4,7,3,5,1,8]=>[8,1,5,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,4,1,5,8,2,6]=>[6,2,8,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [8,1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,5,2,3,1,8,4,6]=>[6,4,8,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [5,2,7,3,4,8,1,6]=>[6,1,8,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,2,3,5,8,1,6]=>[6,1,8,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,2,7,1,5,6,4,8]=>[8,4,6,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,6,7,2,8]=>[8,2,7,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,4,7,3,6,8]=>[8,6,3,7,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,4,1,3,6,8]=>[8,6,3,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,5,6,1,2,8]=>[8,2,1,6,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,4,5,1,6,8]=>[8,6,1,5,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,3,1,4,5,8]=>[8,5,4,1,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,5,3,4,1,8]=>[8,1,4,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,3,6,4,1,7,5,8]=>[8,5,7,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,1,5,8,4,6]=>[6,4,8,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,3,6,5,1,7,4,8]=>[8,4,7,1,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,2,1,5,7,8]=>[8,7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,2,1,4,7,8]=>[8,7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,5,2,1,7,8]=>[8,7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,5,2,4,1,8]=>[8,1,4,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,4,5,3,2,8]=>[8,2,3,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,2,6,7,4,8]=>[8,4,7,6,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,3,4,2,5,8]=>[8,5,2,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,5,7,3,8,2,6]=>[6,2,8,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,7,2,5,6,8,1]=>[1,8,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,8,5,4,7,1]=>[1,7,4,5,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,7,6,1,4,5,2,8]=>[8,2,5,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,5,3,1,4,8]=>[8,4,1,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,7,6,2,5,8]=>[8,5,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,3,1,4,8]=>[8,4,1,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,4,1,3,6,8]=>[8,6,3,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,7,4,1,6,8]=>[8,6,1,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,6,3,2,7,8]=>[8,7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,3,2,4,7,8]=>[8,7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,1,6,3,7,8]=>[8,7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,7,2,8,5,1]=>[1,5,8,2,7,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,7,4,5,8,1]=>[1,8,5,4,7,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,3,6,4,7,8,1]=>[1,8,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,2,5,3,6,7,8,1]=>[1,8,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,6,5,2,4,7,3,8]=>[8,3,7,4,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,1,5,8,3,4]=>[4,3,8,5,1,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,1,7,2,8,3,6]=>[6,3,8,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,2,4,1,8,3,6]=>[6,3,8,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,7,2,6,8,3,4]=>[4,3,8,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,1,3,7,8,2,4]=>[4,2,8,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,3,1,2,4,7,5,8]=>[8,5,7,4,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,4,2,3,5,8]=>[8,5,3,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,6,5,3,1,8,2,4]=>[4,2,8,1,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,5,1,4,7,3,6,8]=>[8,6,3,7,4,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,5,7,2,4,8]=>[8,4,2,7,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,5,7,4,3,8]=>[8,3,4,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,1,4,2,7,8]=>[8,7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,1,7,2,4,8]=>[8,4,2,7,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,2,1,4,7,8]=>[8,7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,3,6,1,7,2,8]=>[8,2,7,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,7,6,1,3,8]=>[8,3,1,6,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,3,1,2,7,8]=>[8,7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,6,3,7,2,8]=>[8,2,7,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,3,7,8,1]=>[1,8,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,5,7,1,4,2,8]=>[8,2,4,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,1,4,7,2,8]=>[8,2,7,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,5,7,1,2,8]=>[8,2,1,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,5,1,3,7,8]=>[8,7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,7,6,1,3,8]=>[8,3,1,6,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,6,1,2,5,8]=>[8,5,2,1,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,7,6,3,8,1]=>[1,8,3,6,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,1,6,5,2,7,3,8]=>[8,3,7,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,7,2,1,4,8]=>[8,4,1,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,6,2,4,1,8]=>[8,1,4,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,3,7,1,8]=>[8,1,7,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,2,7,3,1,8]=>[8,1,3,7,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,2,1,7,3,8]=>[8,3,7,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,1,7,6,4,2,3,8]=>[8,3,2,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,4,2,5,6,8]=>[8,6,5,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,4,2,8,1]=>[1,8,2,4,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,1,6,4,3,7,2,8]=>[8,2,7,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,6,3,8,5,1]=>[1,5,8,3,6,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,5,1,7,4,2,6,8]=>[8,6,2,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,3,2,5,8]=>[8,5,2,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [6,5,4,2,7,3,8,1]=>[1,8,3,7,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,4,1,7,8,2,6]=>[6,2,8,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,4,2,1,5,7,3,8]=>[8,3,7,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,7,4,2,6,8,1]=>[1,8,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,7,4,2,6,1,8]=>[8,1,6,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,4,3,6,1,8]=>[8,1,6,3,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,4,3,6,8,1]=>[1,8,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,3,7,4,8,5,1]=>[1,5,8,4,7,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,7,4,5,1,8]=>[8,1,5,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,7,4,5,2,8]=>[8,2,5,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,8,4,6,7,1]=>[1,7,6,4,8,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [1,2,6,5,7,8,3,4]=>[4,3,8,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,4,7,5,6,2,3,8]=>[8,3,2,6,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,3,7,4,2,8]=>[8,2,4,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,6,5,2,4,8]=>[8,4,2,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,4,2,7,3,8]=>[8,3,7,2,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,1,8,5,6]=>[6,5,8,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8)=>5 [8,1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [7,4,2,8,3,1,5,6]=>[6,5,1,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,4,2,8,3,5,1,6]=>[6,1,5,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,7,6,5,2,4,8,1]=>[1,8,4,2,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,3,6,5,8,1,4]=>[4,1,8,5,6,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,7,3,1,2,6,8]=>[8,6,2,1,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,6,5,2,7,8]=>[8,7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,1,5,4,3,8]=>[8,3,4,5,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,6,7,4,1,8]=>[8,1,4,7,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,2,6,1,3,8]=>[8,3,1,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,8,5,4,3,6]=>[6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,8,5,4,3,6]=>[6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,5,6,2,4,8,1]=>[1,8,4,2,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,5,6,2,4,1,8]=>[8,1,4,2,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,1,7,2,6,8]=>[8,6,2,7,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,2,5,1,4,8]=>[8,4,1,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,2,7,3,8]=>[8,3,7,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,3,4,8,2,6]=>[6,2,8,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,3,4,2,7,1,5,8]=>[8,5,1,7,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,1,7,2,4,8]=>[8,4,2,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,4,2,6,3,8]=>[8,3,6,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,4,5,8,1,2]=>[2,1,8,5,4,6,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,5,2,4,7,8,6,1]=>[1,6,8,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,5,3,7,6,4,8,1]=>[1,8,4,6,7,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,1,6,5,4,7,2,8]=>[8,2,7,4,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,4,5,7,1,8]=>[8,1,7,5,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,5,4,7,1,8]=>[8,1,7,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,7,6,4,2,8]=>[8,2,4,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,4,5,7,2,8]=>[8,2,7,5,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,6,5,2,7,8]=>[8,7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,2,6,5,3,7,8]=>[8,7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,3,5,2,7,8]=>[8,7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,2,5,7,1,8]=>[8,1,7,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,3,5,1,7,8]=>[8,7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,6,5,1,2,8]=>[8,2,1,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,2,5,3,7,8]=>[8,7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,7,3,6,8,1]=>[1,8,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,3,7,5,8,6,1]=>[1,6,8,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,4,7,1,3,5,2,8]=>[8,2,5,3,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,6,1,3,7,8]=>[8,7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,6,7,4,2,8]=>[8,2,4,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,8,5,2,4,6]=>[6,4,2,5,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,1,6,4,7,2,8]=>[8,2,7,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,7,2,6,3,8]=>[8,3,6,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,8,7,3,5,6,2,1]=>[1,2,6,5,3,7,8,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8)=>1 [4,6,5,1,2,7,3,8]=>[8,3,7,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,1,2,7,3,8]=>[8,3,7,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,4,5,1,2,7,3,8]=>[8,3,7,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,1,3,2,7,8]=>[8,7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,3,2,6,8]=>[8,6,2,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,8,1,5,4,3,2,6]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [6,3,2,5,7,4,8,1]=>[1,8,4,7,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,5,1,3,6,4,8]=>[8,4,6,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,5,6,1,4,3,8]=>[8,3,4,1,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,7,5,3,2,8,1,4]=>[4,1,8,2,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,5,3,7,1,4,8]=>[8,4,1,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,3,5,2,4,8]=>[8,4,2,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,4,5,2,3,8]=>[8,3,2,5,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,4,7,2,3,8]=>[8,3,2,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,3,2,6,5,4,8]=>[8,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,2,7,6,3,8]=>[8,3,6,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,4,2,1,3,8]=>[8,3,1,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,2,4,5,8,3,7,1]=>[1,7,3,8,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,6,5,7,2,8,1,4]=>[4,1,8,2,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,1,5,4,6,7,2,8]=>[8,2,7,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,3,5,1,6,8]=>[8,6,1,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,8,4,7,1]=>[1,7,4,8,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,7,2,3,4,1,6,8]=>[8,6,1,4,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,3,5,1,4,8]=>[8,4,1,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,3,8,4,7,1]=>[1,7,4,8,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,6,3,4,2,7,5,8]=>[8,5,7,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,5,3,7,6,8]=>[8,6,7,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,3,5,8,4,6]=>[6,4,8,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,7,2,8,1,4,5,6]=>[6,5,4,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,2,3,7,4,6,1,8]=>[8,1,6,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,3,4,5,1,8]=>[8,1,5,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,3,4,5,1,8]=>[8,1,5,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,3,4,5,1,8]=>[8,1,5,4,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,6,1,8,3,4]=>[4,3,8,1,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,5,7,2,8,3,4]=>[4,3,8,2,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,5,3,7,8,1,4]=>[4,1,8,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,1,7,6,2,3,8]=>[8,3,2,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,6,2,3,5,8,1,4]=>[4,1,8,5,3,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,3,7,5,1,6,2,8]=>[8,2,6,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,2,4,1,7,5,8]=>[8,5,7,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,7,4,8,5,1]=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,2,6,1,5,7,3,8]=>[8,3,7,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,2,6,7,3,8]=>[8,3,7,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,7,4,1,3,8]=>[8,3,1,4,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,7,3,1,4,2,8]=>[8,2,4,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,4,5,2,7,8]=>[8,7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,3,5,2,7,8]=>[8,7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,8,2,5,1,6]=>[6,1,5,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,2,4,7,3,1,5,8]=>[8,5,1,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,4,6,2,8]=>[8,2,6,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,1,7,4,2,5,8]=>[8,5,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,6,4,1,2,8]=>[8,2,1,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,4,3,5,7,8]=>[8,7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,1,6,2,7,8]=>[8,7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,5,2,7,3,8]=>[8,3,7,2,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,3,6,4,5,8]=>[8,5,4,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,5,1,8,2,6]=>[6,2,8,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,5,2,1,6,3,7,8]=>[8,7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,4,3,1,2,8]=>[8,2,1,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [2,6,7,5,1,4,3,8]=>[8,3,4,1,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,1,7,4,5,8]=>[8,5,4,7,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,4,2,7,5,8]=>[8,5,7,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,8,1,2,3,6]=>[6,3,2,1,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,2,5,7,8,1,6]=>[6,1,8,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,7,8,2,5,3,6]=>[6,3,5,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,6,5,7,1,2,4,8]=>[8,4,2,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,3,4,8,6,1]=>[1,6,8,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,7,3,2,4,8,6,1]=>[1,6,8,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,7,4,6,1,3,5,8]=>[8,5,3,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,1,3,5,4,2,8]=>[8,2,4,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,1,3,6,5,8]=>[8,5,6,3,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,3,1,5,4,8]=>[8,4,5,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,4,2,8,6,1]=>[1,6,8,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,4,6,7,2,1,5,8]=>[8,5,1,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,5,7,3,4,8]=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,1,8,3,4]=>[4,3,8,1,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,6,1,3,5,2,8]=>[8,2,5,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,3,5,2,1,8]=>[8,1,2,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,6,1,7,3,8]=>[8,3,7,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,3,7,5,2,8]=>[8,2,5,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,1,4,5,6,8]=>[8,6,5,4,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,3,7,5,8,1]=>[1,8,5,7,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,4,3,7,5,1,8]=>[8,1,5,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,3,2,5,1,8]=>[8,1,5,2,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,7,3,8,6,1]=>[1,6,8,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,1,6,5,8,3,4]=>[4,3,8,5,6,1,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,3,5,7,4,8,1]=>[1,8,4,7,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,1,2,8,5,6]=>[6,5,8,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,6,4,3,8,5,1]=>[1,5,8,3,4,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,1,7,4,6,2,3,8]=>[8,3,2,6,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,6,5,2,4,8]=>[8,4,2,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,8,1,4,3,6]=>[6,3,4,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,6,3,5,4,8,1]=>[1,8,4,5,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,7,3,5,8,2,4]=>[4,2,8,5,3,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,5,3,2,8,1,6]=>[6,1,8,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,2,7,5,8,6,1]=>[1,6,8,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,3,4,2,7,5,8,1]=>[1,8,5,7,2,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,6,1,5,2,8,3,4]=>[4,3,8,2,5,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,1,4,2,8,3,6]=>[6,3,8,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,2,4,1,8,3,6]=>[6,3,8,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,4,1,2,5,8]=>[8,5,2,1,4,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,7,2,1,4,8]=>[8,4,1,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,5,4,8,1,2]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,5,7,2,6,3,8,1]=>[1,8,3,6,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,5,7,4,2,3,6,8]=>[8,6,3,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,5,1,3,6,8]=>[8,6,3,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,5,3,6,8,1]=>[1,8,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,1,3,6,2,5,8]=>[8,5,2,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,2,4,7,3,6,8]=>[8,6,3,7,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,2,5,8,3,6]=>[6,3,8,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,4,7,8,3,5,1,6]=>[6,1,5,3,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,6,2,5,8,4,7,1]=>[1,7,4,8,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,5,2,4,7,8,1,6]=>[6,1,8,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,1,7,6,8,3,4]=>[4,3,8,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,6,2,3,8,1,4]=>[4,1,8,3,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,7,2,5,4,8,1]=>[1,8,4,5,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,4,3,1,2,7,6,8]=>[8,6,7,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,5,2,3,7,8]=>[8,7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,6,7,2,5,8]=>[8,5,2,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,1,7,4,5,8]=>[8,5,4,7,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,3,7,2,4,1,8]=>[8,1,4,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,7,3,2,4,8]=>[8,4,2,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,7,4,5,3,8]=>[8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,1,8,5,3,2,6]=>[6,2,3,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,2,4,6,3,5,8,1]=>[1,8,5,3,6,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,2,3,1,7,6,4,8]=>[8,4,6,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,4,1,8,5,6]=>[6,5,8,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,1,7,4,5,8,2,6]=>[6,2,8,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,1,7,8,4,2,3,6]=>[6,3,2,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,4,1,5,3,7,2,8]=>[8,2,7,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,7,6,3,4,5,8]=>[8,5,4,3,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,7,8,1,4]=>[4,1,8,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,2,1,8,3,5,4,6]=>[6,4,5,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,2,7,4,6,3,8,1]=>[1,8,3,6,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,5,6,3,4,8,1]=>[1,8,4,3,6,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,1,6,7,4,5,2,8]=>[8,2,5,4,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [6,4,2,5,7,3,8,1]=>[1,8,3,7,5,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,5,2,8,3,7,1]=>[1,7,3,8,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,5,2,4,3,8,7,1]=>[1,7,8,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [7,3,2,6,4,8,5,1]=>[1,5,8,4,6,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,7,2,6,5,3,8,1]=>[1,8,3,5,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,4,6,3,8,5,1]=>[1,5,8,3,6,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,7,2,4,6,3,8]=>[8,3,6,4,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,1,4,8,5,6]=>[6,5,8,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,3,2,7,4,5,8,1]=>[1,8,5,4,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,5,6,2,4,7,8,1]=>[1,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,6,7,2,4,8,1]=>[1,8,4,2,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,5,7,4,2,6,8,1]=>[1,8,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,5,7,2,8,6,1]=>[1,6,8,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,5,4,7,2,8,6,1]=>[1,6,8,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,2,5,7,4,8,6,1]=>[1,6,8,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,2,5,6,7,3,8,1]=>[1,8,3,7,6,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [4,7,5,8,2,3,1,6]=>[6,1,3,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,3,6,5,8,2,4]=>[4,2,8,5,6,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,6,7,2,1,5,3,8]=>[8,3,5,1,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,2,1,5,4,8]=>[8,4,5,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,7,1,5,2,8]=>[8,2,5,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,7,4,5,1,8]=>[8,1,5,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,5,2,8,4,3,7,1]=>[1,7,3,4,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,2,8,3,7,1]=>[1,7,3,8,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,3,4,7,2,5,8,1]=>[1,8,5,2,7,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,2,5,3,6,4,8,1]=>[1,8,4,6,3,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,7,1,3,5,8,4,6]=>[6,4,8,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,3,6,2,5,4,8,1]=>[1,8,4,5,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,3,8,5,2,7,1]=>[1,7,2,5,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,6,2,3,5,1,4,8]=>[8,4,1,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,3,4,8,7,1]=>[1,7,8,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,6,5,4,8,2,7,1]=>[1,7,2,8,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,5,2,4,8,7,6,1]=>[1,6,7,8,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,3,5,1,7,6,4,8]=>[8,4,6,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,4,1,5,7,8]=>[8,7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,6,4,1,5,8]=>[8,5,1,4,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,7,4,1,5,8]=>[8,5,1,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,3,1,6,4,8]=>[8,4,6,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,4,1,5,6,8]=>[8,6,5,1,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [4,2,7,5,1,3,6,8]=>[8,6,3,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,6,4,2,5,8]=>[8,5,2,4,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,4,8,3,6]=>[6,3,8,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,7,3,6,1,4,8]=>[8,4,1,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,3,7,2,5,8]=>[8,5,2,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,3,6,1,4,8]=>[8,4,1,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,2,1,7,6,5,3,8]=>[8,3,5,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,1,4,6,2,8]=>[8,2,6,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,4,5,3,8,1]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,2,7,5,3,8,1]=>[1,8,3,5,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,5,1,6,4,3,8]=>[8,3,4,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,4,6,3,8]=>[8,3,6,4,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,7,3,1,4,2,8]=>[8,2,4,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,7,6,5,2,8]=>[8,2,5,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,2,7,4,1,8]=>[8,1,4,7,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,6,2,3,4,8]=>[8,4,3,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,4,7,3,1,8]=>[8,1,3,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,5,7,8,3,4]=>[4,3,8,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,7,6,4,5,3,8]=>[8,3,5,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,2,3,8,5,1]=>[1,5,8,3,2,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,2,5,4,7,1,3,8]=>[8,3,1,7,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,1,4,7,6,8]=>[8,6,7,4,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,8,3,4,1,6]=>[6,1,4,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,3,7,8,1,5,4,6]=>[6,4,5,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,2,7,6,1,5,8]=>[8,5,1,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,5,3,1,4,8]=>[8,4,1,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,3,5,4,6,8]=>[8,6,4,5,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [6,5,4,8,2,3,7,1]=>[1,7,3,2,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,2,4,7,5,3,1,8]=>[8,1,3,5,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,6,7,5,1,8]=>[8,1,5,7,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,8,5,1,3,6]=>[6,3,1,5,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [8,1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [2,7,6,4,3,5,8,1]=>[1,8,5,3,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,7,2,5,3,4,8,1]=>[1,8,4,3,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,6,3,1,2,5,7,8]=>[8,7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,6,2,3,7,8]=>[8,7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,4,7,2,6,8]=>[8,6,2,7,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,3,4,1,7,8]=>[8,7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,2,1,7,3,8]=>[8,3,7,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,5,7,8,1,4]=>[4,1,8,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,4,1,2,7,6,3,8]=>[8,3,6,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,3,2,7,6,8]=>[8,6,7,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,6,2,7,8]=>[8,7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [1,5,2,3,7,6,4,8]=>[8,4,6,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [8,5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [5,7,4,1,3,8,2,6]=>[6,2,8,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,2,4,3,6,1,8]=>[8,1,6,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,6,5,2,8]=>[8,2,5,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,2,8,4,7,1]=>[1,7,4,8,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,5,4,8,6,3,7,1]=>[1,7,3,6,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,1,5,4,6,2,7,8]=>[8,7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,2,3,5,7,8,1,6]=>[6,1,8,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,5,2,6,7,8,9,1]=>[1,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,4,5,6,7,2,8,9,1]=>[1,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,4,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,4,5,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,4,5,6,7,2,8,9,10,1]=>[1,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,4,5,6,7,8,2,9,10,1]=>[1,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,4,2,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [3,4,5,2,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [3,4,5,6,7,2,8,9,10,11,1]=>[1,11,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [3,4,5,6,7,8,2,9,10,11,1]=>[1,11,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [3,4,5,6,7,8,9,10,2,11,1]=>[1,11,2,10,9,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)=>1 [3,7,5,6,4,2,1,8]=>[8,1,2,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,3,7,4,2,8]=>[8,2,4,7,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,1,3,5,4,8]=>[8,4,5,3,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,6,5,8,2,4]=>[4,2,8,5,6,3,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,7,4,5,2,8,6,1]=>[1,6,8,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,6,1,5,2,4,7,8]=>[8,7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,2,5,4,1,8]=>[8,1,4,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,6,3,1,5,8,2,4]=>[4,2,8,5,1,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,2,7,5,3,4,8]=>[8,4,3,5,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,6,7,4,8,1]=>[1,8,4,7,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,5,7,3,4,2,8]=>[8,2,4,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,1,3,6,2,7,8]=>[8,7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,1,4,7,3,8]=>[8,3,7,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,7,1,4,8]=>[8,4,1,7,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,3,7,4,8,1]=>[1,8,4,7,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,6,2,3,7,5,4,8]=>[8,4,5,7,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,6,4,5,3,8]=>[8,3,5,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,7,4,5,3,6,8]=>[8,6,3,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,2,1,6,4,8]=>[8,4,6,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,4,5,6,3,8]=>[8,3,6,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,7,3,4,2,8]=>[8,2,4,3,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,4,7,1,8]=>[8,1,7,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,7,4,6,1,8]=>[8,1,6,4,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,6,4,5,8,1]=>[1,8,5,4,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,2,5,3,7,4,8]=>[8,4,7,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,7,3,1,4,8]=>[8,4,1,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,6,1,4,3,8]=>[8,3,4,1,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,4,5,2,8,1]=>[1,8,2,5,4,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,3,6,5,8,2,7,1]=>[1,7,2,8,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,2,3,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [3,2,6,8,4,5,7,1]=>[1,7,5,4,8,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,4,1,3,7,5,2,8]=>[8,2,5,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,6,4,3,2,8]=>[8,2,3,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,5,2,6,3,8]=>[8,3,6,2,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,7,2,8,3,4,1,6]=>[6,1,4,3,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [3,6,2,7,5,8,1,4]=>[4,1,8,5,7,2,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,6,5,7,3,8,2,4]=>[4,2,8,3,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,5,1,3,7,4,2,8]=>[8,2,4,7,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,3,7,5,1,8]=>[8,1,5,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,2,7,6,4,8]=>[8,4,6,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,2,3,8,5,1]=>[1,5,8,3,2,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,6,1,4,7,3,2,8]=>[8,2,3,7,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,2,6,7,5,8]=>[8,5,7,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,7,5,6,3,8]=>[8,3,6,5,7,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,3,6,4,2,8]=>[8,2,4,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,2,8,6,1]=>[1,6,8,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,5,8,4,7,1]=>[1,7,4,8,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,4,7,1,5,6,2,8]=>[8,2,6,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,8,6,4,7,3,2,1]=>[1,2,3,7,4,6,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [5,1,2,4,6,7,3,8]=>[8,3,7,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,6,7,2,4,8]=>[8,4,2,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [3,4,7,5,2,8,6,1]=>[1,6,8,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [2,5,3,7,4,1,6,8]=>[8,6,1,4,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,3,4,1,5,8]=>[8,5,1,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,4,2,6,8]=>[8,6,2,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,3,4,1,5,8]=>[8,5,1,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,3,7,4,8,1]=>[1,8,4,7,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,6,3,4,2,8,7,1]=>[1,7,8,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [6,3,5,4,7,8,1,2]=>[2,1,8,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [6,5,7,1,2,4,3,8]=>[8,3,4,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,1,3,5,7,2,8]=>[8,2,7,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [1,5,6,7,4,2,3,8]=>[8,3,2,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,7,3,4,2,8]=>[8,2,4,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,3,7,5,8,1]=>[1,8,5,7,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,1,5,6,3,2,8]=>[8,2,3,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,3,6,1,2,8]=>[8,2,1,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,7,2,1,6,8]=>[8,6,1,2,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,8,3,2,7,1]=>[1,7,2,3,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,6,5,7,2,3,8,1]=>[1,8,3,2,7,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,6,7,4,8,1,2]=>[2,1,8,4,7,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,5,7,8,4,2,1,6]=>[6,1,2,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,5,7,6,2,3,1,8]=>[8,1,3,2,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,2,6,7,8]=>[8,7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,5,1,4,3,8,2,6]=>[6,2,8,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,3,2,6,5,8,1]=>[1,8,5,6,2,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,8,4,6,7,3,2,1]=>[1,2,3,7,6,4,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8)=>1 [2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,3,5,4,1,8]=>[8,1,4,5,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,3,6,4,1,8]=>[8,1,4,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,2,7,3,4,8]=>[8,4,3,7,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,1,3,5,6,8]=>[8,6,5,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,6,5,2,3,8]=>[8,3,2,5,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [6,3,1,5,7,8,2,4]=>[4,2,8,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,3,1,5,6,8,2,4]=>[4,2,8,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,5,7,6,8,3,4]=>[4,3,8,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,4,6,8,2,5,7,1]=>[1,7,5,2,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [8,5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,5,7,3,4,6,1,8]=>[8,1,6,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,4,7,8,1,6]=>[6,1,8,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,6,5,2,3,1,8]=>[8,1,3,2,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,2,5,6,3,8]=>[8,3,6,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,2,6,5,3,4,8]=>[8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,8,2,4,3,6]=>[6,3,4,2,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,7,5,6,2,4,3,8]=>[8,3,4,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,2,8,4,6]=>[6,4,8,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,1,7,6,5,3,2,8]=>[8,2,3,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,6,7,5,2,8]=>[8,2,5,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,4,5,7,6,2,8]=>[8,2,6,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,8,1,2,5,3,4,6]=>[6,4,3,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,4,2,5,3,6,1,8]=>[8,1,6,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,7,1,6,5,8]=>[8,5,6,1,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,6,1,7,2,5,3,8]=>[8,3,5,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,5,8,2,6]=>[6,2,8,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,6,4,1,2,5,3,8]=>[8,3,5,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,7,4,5,3,8]=>[8,3,5,4,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,1,7,3,4,8]=>[8,4,3,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,2,4,8,1]=>[1,8,4,2,3,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,4,7,1,3,6,8]=>[8,6,3,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,1,5,7,2,4,8]=>[8,4,2,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,1,6,2,5,8]=>[8,5,2,6,1,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,6,7,2,5,8]=>[8,5,2,7,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,6,1,3,5,8]=>[8,5,3,1,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,4,1,3,7,8]=>[8,7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,6,5,1,4,7,8]=>[8,7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,6,2,1,5,7,8]=>[8,7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,7,4,2,6,8]=>[8,6,2,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,4,1,2,7,8]=>[8,7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,6,2,5,1,8]=>[8,1,5,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,5,6,2,8]=>[8,2,6,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,3,6,2,8]=>[8,2,6,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,4,5,2,7,8]=>[8,7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,4,5,6,2,8]=>[8,2,6,5,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,1,3,6,4,8]=>[8,4,6,3,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,4,2,1,8]=>[8,1,2,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,6,7,5,2,4,8]=>[8,4,2,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,2,4,3,7,8]=>[8,7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,7,2,1,6,8]=>[8,6,1,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,3,1,5,7,8]=>[8,7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,6,4,3,2,5,8]=>[8,5,2,3,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,7,3,8,2,4]=>[4,2,8,3,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [3,5,4,7,1,8,2,6]=>[6,2,8,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,6,7,5,1,2,8]=>[8,2,1,5,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,7,3,4,1,8]=>[8,1,4,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,7,1,8,2,6]=>[6,2,8,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,6,4,7,1,3,8]=>[8,3,1,7,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,7,8,5,1]=>[1,5,8,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,1,5,7,4,8]=>[8,4,7,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,1,6,3,4,8]=>[8,4,3,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,3,6,4,2,8]=>[8,2,4,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,4,8,7,1]=>[1,7,8,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [5,6,2,4,3,1,7,8]=>[8,7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,4,3,8,1]=>[1,8,3,4,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,3,2,4,6,8,1]=>[1,8,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,7,4,6,3,1,5,8]=>[8,5,1,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,5,7,6,1,4,8]=>[8,4,1,6,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,6,4,7,8,1]=>[1,8,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,4,2,3,5,7,8]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,6,2,1,5,8]=>[8,5,1,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,3,7,1,6,8]=>[8,6,1,7,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,5,7,1,6,8]=>[8,6,1,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,7,6,3,2,8,5,1]=>[1,5,8,2,3,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,1,5,7,2,8,3,4]=>[4,3,8,2,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,3,6,2,5,7,4,8]=>[8,4,7,5,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,6,2,5,7,8]=>[8,7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,1,3,6,4,8]=>[8,4,6,3,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,2,5,3,6,8]=>[8,6,3,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,1,4,2,6,8]=>[8,6,2,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,3,6,7,1,5,8]=>[8,5,1,7,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,2,1,3,7,8]=>[8,7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,6,1,4,3,7,8]=>[8,7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,4,1,7,2,8]=>[8,2,7,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,6,2,8,5,1]=>[1,5,8,2,6,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,3,2,1,6,5,4,8]=>[8,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,1,4,3,5,8]=>[8,5,3,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [2,5,6,3,7,1,4,8]=>[8,4,1,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,6,7,8,5,1]=>[1,5,8,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,5,2,3,7,8]=>[8,7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,8,2,5,1,6]=>[6,1,5,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,6,5,8,2,3,7,1]=>[1,7,3,2,8,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,7,5,4,6,2,1,8]=>[8,1,2,6,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,4,7,3,6,8]=>[8,6,3,7,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,6,8,5,7,1]=>[1,7,5,8,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,1,3,5,2,4,7,8]=>[8,7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,2,6,5,1,8]=>[8,1,5,6,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,4,1,5,2,8]=>[8,2,5,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,6,7,3,1,8]=>[8,1,3,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,3,5,8,2,6]=>[6,2,8,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,3,1,2,6,5,7,8]=>[8,7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,1,7,3,6,4,8]=>[8,4,6,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,5,1,2,4,8]=>[8,4,2,1,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,4,3,6,5,8]=>[8,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,6,7,4,8]=>[8,4,7,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,1,4,3,7,8]=>[8,7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,6,7,1,3,2,8]=>[8,2,3,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,4,6,7,2,8]=>[8,2,7,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,3,4,7,2,8]=>[8,2,7,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,6,3,5,7,1,2,8]=>[8,2,1,7,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,2,8,6,5,7,1]=>[1,7,5,6,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [1,7,3,8,5,4,2,6]=>[6,2,4,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,3,1,4,5,7,2,8]=>[8,2,7,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,7,4,8,2,6]=>[6,2,8,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,3,6,4,5,8,1]=>[1,8,5,4,6,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,4,2,6,5,8,1]=>[1,8,5,6,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,5,1,2,6,3,8]=>[8,3,6,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,7,1,5,3,8]=>[8,3,5,1,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,7,6,3,5,8,1]=>[1,8,5,3,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,7,3,4,5,8,1]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,2,1,5,6,4,8]=>[8,4,6,5,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,6,5,8,1,2]=>[2,1,8,5,6,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,4,3,7,6,1,2,8]=>[8,2,1,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,8,3,5,7,1]=>[1,7,5,3,8,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,5,1,7,3,2,4,8]=>[8,4,2,3,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,1,3,7,6,2,8]=>[8,2,6,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,6,4,2,3,8]=>[8,3,2,4,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,4,1,6,2,8]=>[8,2,6,1,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,1,6,4,2,8]=>[8,2,4,6,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,4,5,3,2,8]=>[8,2,3,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,3,5,4,1,8]=>[8,1,4,5,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,4,3,1,8]=>[8,1,3,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,3,5,4,2,8]=>[8,2,4,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,2,6,7,5,3,8]=>[8,3,5,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,8,1,5,3,6]=>[6,3,5,1,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,3,7,1,5,8,2,6]=>[6,2,8,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,3,4,1,7,2,8]=>[8,2,7,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,4,3,5,1,8]=>[8,1,5,3,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,5,4,3,8,1]=>[1,8,3,4,5,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [9,1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [5,7,1,3,2,8,4,6]=>[6,4,8,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,7,4,6,1,3,8]=>[8,3,1,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,2,6,5,1,8]=>[8,1,5,6,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,5,2,3,1,8]=>[8,1,3,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,1,2,5,4,8]=>[8,4,5,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,2,3,1,5,8]=>[8,5,1,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,4,7,8,5,1]=>[1,5,8,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,1,4,6,3,5,2,8]=>[8,2,5,3,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,4,8,1,5,2,6]=>[6,2,5,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,7,4,6,3,2,8,1]=>[1,8,2,3,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,6,1,5,7,4,8]=>[8,4,7,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,2,3,8,1,4]=>[4,1,8,3,2,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,1,4,7,3,2,5,8]=>[8,5,2,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,6,3,8,2,4]=>[4,2,8,3,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [2,1,7,8,3,5,4,6]=>[6,4,5,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,7,3,1,8,2,4]=>[4,2,8,1,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,8,4,2,1,6]=>[6,1,2,4,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,1,8,4,5,2,6]=>[6,2,5,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,3,7,1,4,6,2,8]=>[8,2,6,4,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,5,4,6,3,8]=>[8,3,6,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,5,4,6,8,1]=>[1,8,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,3,6,1,5,8,2,4]=>[4,2,8,5,1,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,1,3,8,5,4,2,6]=>[6,2,4,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,1,6,3,5,4,7,8]=>[8,7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,4,7,3,1,8]=>[8,1,3,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,6,7,2,5,3,8]=>[8,3,5,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,3,2,8,5,6]=>[6,5,8,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [1,6,7,3,5,8,2,4]=>[4,2,8,5,3,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,2,5,1,4,3,6,8]=>[8,6,3,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,2,3,1,7,8]=>[8,7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,7,6,1,3,8]=>[8,3,1,6,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,1,4,3,7,2,8]=>[8,2,7,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,7,5,3,1,8]=>[8,1,3,5,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,5,7,3,1,8]=>[8,1,3,7,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,4,5,8,1,6]=>[6,1,8,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,7,1,5,8,2,6]=>[6,2,8,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,5,6,3,1,7,2,8]=>[8,2,7,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,5,2,3,6,8]=>[8,6,3,2,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,1,8,4,6]=>[6,4,8,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,5,1,2,6,8]=>[8,6,2,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,5,4,2,1,8]=>[8,1,2,4,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,3,6,5,1,8]=>[8,1,5,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,3,1,5,6,8]=>[8,6,5,1,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,4,3,1,7,5,8]=>[8,5,7,1,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,5,1,2,3,7,8]=>[8,7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,1,4,2,7,8]=>[8,7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,1,3,6,4,8]=>[8,4,6,3,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,1,3,2,5,7,8]=>[8,7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,8,3,2,5,6]=>[6,5,2,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,4,7,1,3,6,2,8]=>[8,2,6,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,7,3,6,4,8]=>[8,4,6,3,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,6,5,3,4,8]=>[8,4,3,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,1,6,5,2,8]=>[8,2,5,6,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,8,3,1,5,6]=>[6,5,1,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,7,2,5,3,8,1,6]=>[6,1,8,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,3,7,6,2,8,1,4]=>[4,1,8,2,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,7,6,5,4,1,2,8]=>[8,2,1,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,5,3,2,8,1]=>[1,8,2,3,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,8,1,2,4,5,3,6]=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [7,3,2,4,1,8,5,6]=>[6,5,8,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,2,4,3,6,1,5,8]=>[8,5,1,6,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [5,7,3,1,6,4,2,8]=>[8,2,4,6,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,5,4,3,2,8]=>[8,2,3,4,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,3,1,7,2,8]=>[8,2,7,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [5,7,2,4,6,3,8,1]=>[1,8,3,6,4,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,4,1,5,2,8,3,6]=>[6,3,8,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,4,2,6,5,3,8,1]=>[1,8,3,5,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,4,7,3,5,8,1,6]=>[6,1,8,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,7,2,5,8,6,1]=>[1,6,8,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,2,7,4,5,1,6,8]=>[8,6,1,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,3,1,4,6,8]=>[8,6,4,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,3,5,6,1,8]=>[8,1,6,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,5,3,1,6,8]=>[8,6,1,3,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,6,3,5,8,1]=>[1,8,5,3,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,3,2,1,7,4,8]=>[8,4,7,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,6,3,8,1,4]=>[4,1,8,3,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,5,7,6,3,4,2,8]=>[8,2,4,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,7,2,3,6,8]=>[8,6,3,2,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,2,1,6,4,7,3,8]=>[8,3,7,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,7,6,1,3,8]=>[8,3,1,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,1,8,3,6]=>[6,3,8,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [7,3,2,6,5,8,1,4]=>[4,1,8,5,6,2,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,6,2,5,7,4,8,1]=>[1,8,4,7,5,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,4,7,2,3,8,5,1]=>[1,5,8,3,2,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,6,1,3,2,5,7,8]=>[8,7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,7,4,6,2,3,8,1]=>[1,8,3,2,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,5,6,3,7,4,8,1]=>[1,8,4,7,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,6,5,3,8,4,7,1]=>[1,7,4,8,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,7,2,3,6,8,5,1]=>[1,5,8,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,6,4,7,5,2,1,8]=>[8,1,2,5,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,4,1,7,3,8]=>[8,3,7,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,1,5,2,3,8]=>[8,3,2,5,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,2,6,3,1,8]=>[8,1,3,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,3,7,6,1,5,2,8]=>[8,2,5,1,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>1 [3,2,6,4,7,1,5,8]=>[8,5,1,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,7,2,5,3,6,8]=>[8,6,3,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,7,5,1,2,3,8]=>[8,3,2,1,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,4,6,1,7,2,8]=>[8,2,7,1,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [4,5,2,6,7,3,8,1]=>[1,8,3,7,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,7,1,8,5,3,2,6]=>[6,2,3,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,4,5,2,7,1,3,8]=>[8,3,1,7,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,3,6,2,1,4,8]=>[8,4,1,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,2,7,6,3,4,8]=>[8,4,3,6,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,7,1,3,4,8]=>[8,4,3,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,4,1,7,8]=>[8,7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,6,2,4,7,3,8]=>[8,3,7,4,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,7,2,5,3,8]=>[8,3,5,2,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,3,6,1,4,8]=>[8,4,1,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,5,1,8,2,6]=>[6,2,8,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,2,5,4,3,8,1]=>[1,8,3,4,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,5,6,4,1,2,8]=>[8,2,1,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,5,3,4,2,8]=>[8,2,4,3,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,3,7,1,6,8]=>[8,6,1,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,6,2,4,5,8]=>[8,5,4,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,6,1,3,2,8]=>[8,2,3,1,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,5,7,6,2,8]=>[8,2,6,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [4,7,6,1,3,2,5,8]=>[8,5,2,3,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,7,8,5,1]=>[1,5,8,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,2,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [4,2,7,3,6,1,5,8]=>[8,5,1,6,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,1,4,7,2,8]=>[8,2,7,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,7,6,5,2,3,8]=>[8,3,2,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,1,3,7,6,5,8]=>[8,5,6,7,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,2,1,3,7,5,8]=>[8,5,7,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,5,1,7,2,8]=>[8,2,7,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,3,8,2,6,7,1]=>[1,7,6,2,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,6,1,2,5,4,7,8]=>[8,7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,4,2,1,7,3,8]=>[8,3,7,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,6,5,3,8,1]=>[1,8,3,5,6,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,3,7,6,4,8,5,1]=>[1,5,8,4,6,7,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [6,4,7,1,2,5,3,8]=>[8,3,5,2,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,2,7,8,3,4]=>[4,3,8,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,3,2,5,7,4,1,8]=>[8,1,4,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,7,5,3,1,2,8]=>[8,2,1,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,7,4,6,3,8]=>[8,3,6,4,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,5,8,3,2,4,6]=>[6,4,2,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,4,2,1,7,3,5,8]=>[8,5,3,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,7,1,8,2,4]=>[4,2,8,1,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,1,2,3,6,5,8]=>[8,5,6,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,6,3,4,5,8]=>[8,5,4,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,2,4,1,5,8]=>[8,5,1,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,3,1,8,5,6]=>[6,5,8,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,1,3,5,7,8,2,4]=>[4,2,8,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,5,8,1,3,2,6]=>[6,2,3,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,8,1,2,5,4,3,6]=>[6,3,4,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,7,6,5,8,1,2]=>[2,1,8,5,6,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [4,1,5,3,6,2,7,8]=>[8,7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,4,1,5,3,8]=>[8,3,5,1,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,1,4,2,8]=>[8,2,4,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,8,2,5,4,6]=>[6,4,5,2,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [2,3,6,1,7,5,4,8]=>[8,4,5,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,5,4,1,3,2,8]=>[8,2,3,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,7,1,4,3,5,8]=>[8,5,3,4,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,5,2,7,6,8]=>[8,6,7,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [7,3,2,6,5,1,4,8]=>[8,4,1,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,6,8,3,7,1]=>[1,7,3,8,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,3,6,5,1,8,2,4]=>[4,2,8,1,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [5,3,7,1,2,6,4,8]=>[8,4,6,2,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,5,6,2,3,8]=>[8,3,2,6,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,6,5,2,3,8]=>[8,3,2,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,5,3,2,7,4,8]=>[8,4,7,2,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,7,5,3,2,6,8]=>[8,6,2,3,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,2,5,6,3,8]=>[8,3,6,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,1,2,5,6,3,8]=>[8,3,6,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,3,4,6,2,1,8]=>[8,1,2,6,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,6,2,4,1,8]=>[8,1,4,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,5,6,1,4,8]=>[8,4,1,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,1,4,7,2,8]=>[8,2,7,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,8,5,4,1,6]=>[6,1,4,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,2,7,4,3,6,8]=>[8,6,3,4,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,6,3,2,4,8]=>[8,4,2,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,6,3,8,5,4,7,1]=>[1,7,4,5,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,3,5,6,1,8,2,4]=>[4,2,8,1,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,6,7,2,3,5,8,1]=>[1,8,5,3,2,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,1,5,2,3,7,8]=>[8,7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,6,2,4,3,8]=>[8,3,4,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,4,1,7,5,8]=>[8,5,7,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,4,2,5,6,8]=>[8,6,5,2,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,3,4,1,5,7,8]=>[8,7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,3,7,8,2,4]=>[4,2,8,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,1,3,6,2,4,8]=>[8,4,2,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,2,3,6,8,1]=>[1,8,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,6,4,1,2,5,7,8]=>[8,7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,4,2,8,1,6]=>[6,1,8,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,1,3,2,8,5,6]=>[6,5,8,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,7,2,3,5,8,6,1]=>[1,6,8,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,7,2,4,5,8,6,1]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [4,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [3,4,5,7,1,6,2,8]=>[8,2,6,1,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,6,2,5,8,1]=>[1,8,5,2,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>([(0,7),(2,9),(3,9),(4,1),(5,4),(6,5),(7,8),(8,2),(8,3),(9,6)],10)=>1 [5,2,6,4,3,7,1,8]=>[8,1,7,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,4,2,6,5,8]=>[8,5,6,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,7,2,3,8]=>[8,3,2,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9)=>1 [8,2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [3,1,4,7,5,2,6,8]=>[8,6,2,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,6,2,3,5,8]=>[8,5,3,2,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,4,2,1,8]=>[8,1,2,4,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,3,4,2,6,8]=>[8,6,2,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,4,7,1,3,8]=>[8,3,1,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,1,7,2,6,5,8]=>[8,5,6,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,3,6,1,5,8]=>[8,5,1,6,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,5,3,1,6,8]=>[8,6,1,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,3,5,1,6,2,4]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>4 [7,3,2,6,4,5,8,1]=>[1,8,5,4,6,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,7,1,5,8,3,4]=>[4,3,8,5,1,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,7,3,6,4,2,1,8]=>[8,1,2,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,2,6,7,8,1,4]=>[4,1,8,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,6,5,3,2,1,8]=>[8,1,2,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,1,5,3,4,2,7,8]=>[8,7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,6,4,7,1,8]=>[8,1,7,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,2,3,5,8,1,4]=>[4,1,8,5,3,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,5,8,2,3,1,6]=>[6,1,3,2,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,1,2,5,3,8,4,6]=>[6,4,8,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,7,5,2,1,4,3,8]=>[8,3,4,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,2,5,4,3,8,1]=>[1,8,3,4,5,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,6,7,2,5,1,8]=>[8,1,5,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,6,3,4,8,5,7,1]=>[1,7,5,8,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [5,7,1,6,4,2,3,8]=>[8,3,2,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,2,3,5,8,1]=>[1,8,5,3,2,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,4,5,3,8,6,1]=>[1,6,8,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [3,4,2,5,7,1,6,8]=>[8,6,1,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,4,6,1,7,5,8]=>[8,5,7,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,2,1,5,4,8]=>[8,4,5,1,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,6,1,4,5,8]=>[8,5,4,1,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [4,1,3,5,7,2,6,8]=>[8,6,2,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,3,2,5,4,8]=>[8,4,5,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,3,6,1,5,8]=>[8,5,1,6,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,3,7,6,8,2,4]=>[4,2,8,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,2,7,1,8,3,6]=>[6,3,8,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,2,6,8,5,7,1]=>[1,7,5,8,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,6,2,4,7,5,8,1]=>[1,8,5,7,4,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,1,4,2,6,3,7,8]=>[8,7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,2,4,6,3,5,8]=>[8,5,3,6,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,3,4,6,5,2,8]=>[8,2,5,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,5,4,7,2,8]=>[8,2,7,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [2,3,5,6,8,4,7,1]=>[1,7,4,8,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,6,5,3,4,2,7,8]=>[8,7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,6,7,5,2,3,8]=>[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,9,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [7,2,6,4,3,8,5,1]=>[1,5,8,3,4,6,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,3,6,4,2,5,8,1]=>[1,8,5,2,4,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,3,4,6,1,5,8]=>[8,5,1,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,4,1,8,5,6]=>[6,5,8,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,5,3,4,7,8,6,1]=>[1,6,8,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [8,2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [3,5,6,7,4,8,1,2]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [5,7,3,6,2,1,4,8]=>[8,4,1,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,5,4,1,8,2,6]=>[6,2,8,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,1,3,5,4,2,6,8]=>[8,6,2,4,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,7,6,2,4,8]=>[8,4,2,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,7,5,1,6,3,8]=>[8,3,6,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,1,7,3,6,8]=>[8,6,3,7,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,1,6,2,3,8]=>[8,3,2,6,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,1,7,6,8,2,4]=>[4,2,8,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,1,2,8,4,3,5,6]=>[6,5,3,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,1,4,2,8,5,6]=>[6,5,8,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [5,2,6,1,7,4,3,8]=>[8,3,4,7,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,5,1,7,2,8]=>[8,2,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,6,2,1,5,7,8]=>[8,7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,5,4,7,8,3,6]=>[6,3,8,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [10,7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [1,4,7,6,2,5,3,8]=>[8,3,5,2,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,2,5,4,3,8]=>[8,3,4,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,3,2,8,1,4]=>[4,1,8,2,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,5,1,4,6,3,2,8]=>[8,2,3,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,2,6,3,4,8]=>[8,4,3,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,8,3,2,4,6]=>[6,4,2,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,5,4,1,2,6,3,8]=>[8,3,6,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,4,2,8,3,6]=>[6,3,8,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,2,3,5,7,8,6,1]=>[1,6,8,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [5,4,7,1,6,2,3,8]=>[8,3,2,6,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,1,5,6,2,3,8]=>[8,3,2,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,3,7,1,8]=>[8,1,7,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,6,4,3,5,1,8]=>[8,1,5,3,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,6,1,3,8,2,4]=>[4,2,8,3,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,3,4,8,5,1,2,6]=>[6,2,1,5,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,2,7,4,3,8,5,1]=>[1,5,8,3,4,7,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [1,5,4,7,3,8,2,6]=>[6,2,8,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,2,6,7,3,5,4,8]=>[8,4,5,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,3,1,7,8]=>[8,7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,7,3,4,2,8,6,1]=>[1,6,8,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,6,4,2,3,8,5,1]=>[1,5,8,3,2,4,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [3,5,6,8,2,4,7,1]=>[1,7,4,2,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [3,7,4,2,6,8,5,1]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,1,3,6,4,2,7,8]=>[8,7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,7,2,1,3,8,5,6]=>[6,5,8,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,5,3,8,2,1,4,6]=>[6,4,1,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [6,5,3,7,2,8,1,4]=>[4,1,8,2,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [1,4,3,7,6,2,5,8]=>[8,5,2,6,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,5,2,3,4,8]=>[8,4,3,2,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,5,1,8,2,4]=>[4,2,8,1,5,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,4,2,3,1,6,5,8]=>[8,5,6,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,2,1,7,4,3,8]=>[8,3,4,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,7,5,3,4,1,8]=>[8,1,4,3,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,8,3,5,1,6]=>[6,1,5,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,7,6,3,2,1,5,8]=>[8,5,1,2,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,1,5,2,8]=>[8,2,5,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,2,7,4,3,8,1,6]=>[6,1,8,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [6,5,7,2,1,4,3,8]=>[8,3,4,1,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,4,6,2,3,8]=>[8,3,2,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,6,3,4,2,8,5,1]=>[1,5,8,2,4,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,4,1,2,3,7,6,8]=>[8,6,7,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,4,8,5,7,1]=>[1,7,5,8,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,3,6,1,4,2,5,8]=>[8,5,2,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,6,7,5,8,1]=>[1,8,5,7,6,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,2,4,5,8,6,1]=>[1,6,8,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,2,7,1,3,5,4,8]=>[8,4,5,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,2,5,4,7,8]=>[8,7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [6,4,5,1,3,7,2,8]=>[8,2,7,3,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [4,2,3,7,1,8,5,6]=>[6,5,8,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [4,2,6,7,1,5,3,8]=>[8,3,5,1,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,6,2,7,5,8]=>[8,5,7,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,1,5,2,6,8]=>[8,6,2,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,2,4,8,5,7,1]=>[1,7,5,8,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [2,6,7,4,3,5,8,1]=>[1,8,5,3,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,3,4,7,6,2,8,1]=>[1,8,2,6,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,2,6,5,1,4,8]=>[8,4,1,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,1,7,3,2,4,8]=>[8,4,2,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,8,3,5,7,1]=>[1,7,5,3,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,5,6,1,3,7,2,8]=>[8,2,7,3,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,4,3,7,5,2,6,8]=>[8,6,2,5,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,6,5,1,2,8]=>[8,2,1,5,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,5,2,6,1,8]=>[8,1,6,2,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,2,3,5,4,8]=>[8,4,5,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,7,4,2,5,6,8,1]=>[1,8,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,1,3,7,2,8,5,6]=>[6,5,8,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [2,6,3,7,4,5,1,8]=>[8,1,5,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,1,3,2,6,8]=>[8,6,2,3,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,4,8,1,5,3,6]=>[6,3,5,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,1,5,4,3,7,2,8]=>[8,2,7,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,4,6,1,2,7,8]=>[8,7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,1,4,6,3,7,8]=>[8,7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,6,1,3,2,8]=>[8,2,3,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,4,5,7,3,8]=>[8,3,7,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,4,7,2,3,6,8]=>[8,6,3,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [10,1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [6,3,4,7,2,5,1,8]=>[8,1,5,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,5,7,1,3,8]=>[8,3,1,7,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,7,5,1,4,8]=>[8,4,1,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,3,2,1,4,8]=>[8,4,1,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,7,5,2,3,8]=>[8,3,2,5,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,7,5,4,1,2,8]=>[8,2,1,4,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [3,6,4,7,2,1,5,8]=>[8,5,1,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,3,7,4,5,8]=>[8,5,4,7,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,4,2,1,5,8]=>[8,5,1,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,6,7,4,1,5,8]=>[8,5,1,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,2,7,4,5,8,6,1]=>[1,6,8,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [7,6,2,5,1,8,3,4]=>[4,3,8,1,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,2,6,3,8,4,7,1]=>[1,7,4,8,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,8,1,5,2,3,4,6]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [4,5,7,3,6,2,1,8]=>[8,1,2,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,7,1,2,6,3,8]=>[8,3,6,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,1,7,5,3,4,8]=>[8,4,3,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,6,5,4,8,1]=>[1,8,4,5,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,1,5,6,4,7,2,8]=>[8,2,7,4,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,7,5,4,2,8]=>[8,2,4,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,7,3,6,1,8]=>[8,1,6,3,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,6,7,1,4,2,8]=>[8,2,4,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [7,6,3,2,4,8,5,1]=>[1,5,8,4,2,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [8,2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [8,1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [2,6,4,5,1,7,3,8]=>[8,3,7,1,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,4,2,5,6,8]=>[8,6,5,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,1,4,2,6,8]=>[8,6,2,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,5,3,4,7,8,1]=>[1,8,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [1,6,4,7,3,2,5,8]=>[8,5,2,3,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,4,3,2,8,5,1]=>[1,5,8,2,3,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [5,1,4,6,2,7,3,8]=>[8,3,7,2,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,5,6,8,1,4]=>[4,1,8,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [8,4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,5,3,1,7,4,6,8]=>[8,6,4,7,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,7,3,2,8]=>[8,2,3,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,1,5,3,4,2,6]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [5,3,4,7,2,6,8,1]=>[1,8,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,2,1,6,4,5,3,8]=>[8,3,5,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,8,5,2,7,1]=>[1,7,2,5,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [1,6,7,3,4,5,2,8]=>[8,2,5,4,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,5,6,1,8,2,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,5,6,1,4,7,2,8]=>[8,2,7,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,3,4,2,8,5,1]=>[1,5,8,2,4,3,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,1,2,6,7,5,8]=>[8,5,7,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,5,2,7,8,1,4]=>[4,1,8,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [5,2,4,6,3,7,8,1]=>[1,8,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [4,6,2,5,3,7,1,8]=>[8,1,7,3,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,1,7,6,2,4,8]=>[8,4,2,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,5,6,3,8,7,1]=>[1,7,8,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [8,3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [4,5,7,2,3,1,6,8]=>[8,6,1,3,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,7,3,1,2,6,8]=>[8,6,2,1,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,7,1,2,5,3,4,8]=>[8,4,3,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,7,3,1,5,8]=>[8,5,1,3,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,6,1,4,5,8]=>[8,5,4,1,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,2,4,6,3,7,1,8]=>[8,1,7,3,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,7,8,6,1]=>[1,6,8,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [7,4,5,1,6,2,3,8]=>[8,3,2,6,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,2,1,5,8,4,6]=>[6,4,8,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [1,4,6,3,5,7,2,8]=>[8,2,7,5,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,4,7,5,2,6,8]=>[8,6,2,5,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,5,8,6,3,7,1]=>[1,7,3,6,8,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [4,3,7,8,5,6,1,2]=>[2,1,6,5,8,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>2 [3,7,6,4,1,2,5,8]=>[8,5,2,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,7,3,4,6,2,8]=>[8,2,6,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,1,4,3,6,2,8]=>[8,2,6,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,6,5,2,8,1,4]=>[4,1,8,2,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [4,7,5,3,2,6,1,8]=>[8,1,6,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,3,2,1,6,8]=>[8,6,1,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,3,6,2,1,5,8]=>[8,5,1,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,5,2,4,6,1,3,8]=>[8,3,1,6,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,6,5,3,7,1,4,8]=>[8,4,1,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,5,8,2,6,7,1]=>[1,7,6,2,8,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [5,2,7,3,4,1,6,8]=>[8,6,1,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,4,6,8,5,1]=>[1,5,8,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [4,5,3,7,2,6,8,1]=>[1,8,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,4,7,5,1,2,6,8]=>[8,6,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,5,1,4,6,8]=>[8,6,4,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,4,2,6,5,8]=>[8,5,6,2,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,5,7,3,2,8]=>[8,2,3,7,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,8,4,5,1,6]=>[6,1,5,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [1,2,7,4,6,3,5,8]=>[8,5,3,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,6,2,5,3,7,8,1]=>[1,8,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,6,1,5,3,2,4,8]=>[8,4,2,3,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [7,1,5,3,4,6,2,8]=>[8,2,6,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,4,2,3,8,7,6,1]=>[1,6,7,8,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>1 [1,5,6,2,4,3,7,8]=>[8,7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,2,5,7,3,4,8]=>[8,4,3,7,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,1,7,5,2,8]=>[8,2,5,7,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,7,2,3,1,6,8]=>[8,6,1,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)=>6 [2,4,7,5,3,1,6,8]=>[8,6,1,3,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,3,7,1,4,6,5,8]=>[8,5,6,4,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [3,6,4,5,7,8,1,2]=>[2,1,8,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 [8,2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [2,6,4,3,7,1,5,8]=>[8,5,1,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,4,7,1,6,3,8]=>[8,3,6,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,5,4,3,2,7,8]=>[8,7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,6,3,1,5,8]=>[8,5,1,3,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,3,7,2,8]=>[8,2,7,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,1,5,7,3,8]=>[8,3,7,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,7,6,2,1,4,3,8]=>[8,3,4,1,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,6,1,4,3,8]=>[8,3,4,1,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,7,5,4,6,8]=>[8,6,4,5,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,7,1,4,5,2,8]=>[8,2,5,4,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,5,6,1,4,8]=>[8,4,1,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,6,3,2,7,4,8,1]=>[1,8,4,7,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,5,4,7,1,3,2,8]=>[8,2,3,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,4,1,5,3,8]=>[8,3,5,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,7,8,4,5,2,6]=>[6,2,5,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,1,4,7,6,2,3,8]=>[8,3,2,6,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,4,3,8,6,1]=>[1,6,8,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [6,7,3,5,2,1,4,8]=>[8,4,1,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,3,4,2,8,5,7,1]=>[1,7,5,8,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [7,4,6,5,2,3,8,1]=>[1,8,3,2,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,6,2,1,3,8]=>[8,3,1,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,1,4,7,5,3,8]=>[8,3,5,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,3,7,2,5,6,4,8]=>[8,4,6,5,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,2,4,7,3,5,8,1]=>[1,8,5,3,7,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [3,7,2,6,4,5,8,1]=>[1,8,5,4,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,6,3,1,4,2,8]=>[8,2,4,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,7,3,5,2,4,8]=>[8,4,2,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,8,1,5,4,6]=>[6,4,5,1,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [8,3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [8,1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8)=>5 [7,4,6,5,3,1,2,8]=>[8,2,1,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,6,7,1,4,8]=>[8,4,1,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,8,5,2,4,3,1,6]=>[6,1,3,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [4,2,7,8,5,1,3,6]=>[6,3,1,5,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [2,7,6,3,5,1,4,8]=>[8,4,1,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,6,4,3,1,5,8]=>[8,5,1,3,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,2,4,5,3,8]=>[8,3,5,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,2,3,5,1,8]=>[8,1,5,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,6,4,2,5,1,8]=>[8,1,5,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,1,8,3,4,2,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [4,6,5,2,3,7,1,8]=>[8,1,7,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,7,2,5,6,8]=>[8,6,5,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [6,5,2,4,8,3,7,1]=>[1,7,3,8,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [8,6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [1,5,6,2,7,4,3,8]=>[8,3,4,7,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,5,6,1,2,8]=>[8,2,1,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,4,5,7,6,1,2,8]=>[8,2,1,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,6,4,1,3,8]=>[8,3,1,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,1,6,4,2,5,8]=>[8,5,2,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,5,6,3,1,4,8]=>[8,4,1,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,4,6,1,5,8]=>[8,5,1,6,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,4,6,1,2,5,8]=>[8,5,2,1,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,4,5,8,2,7,1]=>[1,7,2,8,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [4,2,3,7,1,6,5,8]=>[8,5,6,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,2,1,7,6,4,8]=>[8,4,6,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,4,3,2,8,5,7,1]=>[1,7,5,8,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>1 [6,3,7,4,2,5,1,8]=>[8,1,5,2,4,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,3,6,4,2,7,8,1]=>[1,8,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,7,2,5,4,3,8]=>[8,3,4,5,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,6,5,3,7,1,8]=>[8,1,7,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,5,3,2,8,4,6]=>[6,4,8,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [10,2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [1,7,6,2,5,4,3,8]=>[8,3,4,5,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,5,6,7,2,1,4,8]=>[8,4,1,2,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,5,2,6,3,4,1,8]=>[8,1,4,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,1,3,2,6,8]=>[8,6,2,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,3,5,2,7,4,8]=>[8,4,7,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,2,1,4,3,7,8]=>[8,7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,8,6,3,7,1]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [6,7,1,3,5,4,2,8]=>[8,2,4,5,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,6,4,3,1,8]=>[8,1,3,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,6,4,1,5,8]=>[8,5,1,4,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,1,7,4,6,8]=>[8,6,4,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,3,1,6,5,8]=>[8,5,6,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,4,3,2,1,6,8]=>[8,6,1,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,1,7,3,6,8]=>[8,6,3,7,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,6,1,5,3,8]=>[8,3,5,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,3,6,1,5,8]=>[8,5,1,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,6,2,3,4,8,1]=>[1,8,4,3,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [8,1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [6,1,4,7,3,5,2,8]=>[8,2,5,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,3,6,2,1,8]=>[8,1,2,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,7,5,4,2,3,8]=>[8,3,2,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,5,6,7,4,2,8]=>[8,2,4,7,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,1,4,3,5,7,2,8]=>[8,2,7,5,3,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,6,2,5,1,8]=>[8,1,5,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,7,6,2,1,3,8]=>[8,3,1,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,2,6,5,7,4,8]=>[8,4,7,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,3,7,5,2,6,8,1]=>[1,8,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [2,1,7,6,4,3,5,8]=>[8,5,3,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,6,3,4,7,5,2,8]=>[8,2,5,7,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,2,3,1,8,5,6]=>[6,5,8,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [8,1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [3,6,7,5,1,8,2,4]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [3,7,2,6,4,5,1,8]=>[8,1,5,4,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [5,7,1,3,6,4,2,8]=>[8,2,4,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,5,6,2,3,8,7,1]=>[1,7,8,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [3,4,1,7,6,2,5,8]=>[8,5,2,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,4,3,6,8,5,1]=>[1,5,8,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1 [7,4,2,3,5,8,6,1]=>[1,6,8,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>1 [8,4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [5,4,7,2,3,6,1,8]=>[8,1,6,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,3,8,5,1,2,6]=>[6,2,1,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>6 [7,3,1,2,6,5,4,8]=>[8,4,5,6,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,1,6,3,7,8]=>[8,7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,6,1,3,7,8]=>[8,7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,4,6,5,7,1,3,8]=>[8,3,1,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,7,6,3,4,1,8]=>[8,1,4,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,3,4,1,6,5,8]=>[8,5,6,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,5,7,1,6,8]=>[8,6,1,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,3,6,1,5,7,8]=>[8,7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,7,1,4,6,8]=>[8,6,4,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,4,5,3,1,6,2,8]=>[8,2,6,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,3,8,6,4,7,1]=>[1,7,4,6,8,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>1 [7,6,2,1,4,3,5,8]=>[8,5,3,4,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [5,2,7,6,3,1,4,8]=>[8,4,1,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,5,6,1,2,3,8]=>[8,3,2,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)=>6 [7,4,6,3,2,5,8,1]=>[1,8,5,2,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,6,4,2,3,8,1]=>[1,8,3,2,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,1,3,2,5,7,4,8]=>[8,4,7,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,1,3,5,7,6,2,8]=>[8,2,6,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,2,5,3,6,8,1]=>[1,8,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [5,7,4,2,3,6,1,8]=>[8,1,6,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,3,5,2,4,6,8,1]=>[1,8,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [7,3,4,2,5,8,1,6]=>[6,1,8,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>([(4,6),(4,7),(5,6),(5,7)],8)=>6 [3,4,1,7,6,5,2,8]=>[8,2,5,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,5,6,3,2,7,4,8]=>[8,4,7,2,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,1,3,7,4,6,5,8]=>[8,5,6,4,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,6,2,5,7,4,1,8]=>[8,1,4,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,3,5,2,6,8]=>[8,6,2,5,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [4,3,1,7,2,6,5,8]=>[8,5,6,2,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,6,5,1,2,4,7,8]=>[8,7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)=>6 [10,1,2,3,6,7,4,5,8,9]=>[9,8,5,4,7,6,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)=>9 [2,3,8,9,6,7,4,5,10,1]=>[1,10,5,4,7,6,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,3,8,9,4,5,6,7,10,1]=>[1,10,7,6,5,4,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,3,6,7,8,9,4,5,10,1]=>[1,10,5,4,9,8,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,3,4,7,8,5,6,9,10,1]=>[1,10,9,6,5,8,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [8,6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [5,2,6,1,7,8,3,4]=>[4,3,8,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [6,2,5,7,3,8,1,4]=>[4,1,8,3,7,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 [7,8,2,4,5,3,1,6]=>[6,1,3,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>6 [3,5,2,4,6,7,1,8]=>[8,1,7,6,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,5,7,6,3,4,8,1]=>[1,8,4,3,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)=>1 [6,2,1,4,7,3,5,8]=>[8,5,3,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,7,2,1,6,4,5,8]=>[8,5,4,6,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)=>7 [1,4,7,6,3,5,2,8]=>[8,2,5,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,3,4,5,6,8,9,10,1]=>[1,10,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [7,2,5,6,4,1,3,8]=>[8,3,1,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,1,6,4,2,5,7,8]=>[8,7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [2,7,1,3,4,6,5,8]=>[8,5,6,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,1,7,3,2,6,4,8]=>[8,4,6,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [6,5,4,1,3,2,7,8]=>[8,7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,2,4,3,6,7,8,9,1]=>[1,9,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [5,2,3,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [6,2,3,5,4,7,8,9,1]=>[1,9,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [7,2,3,4,6,5,8,9,1]=>[1,9,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [8,2,3,4,5,7,6,9,1]=>[1,9,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [8,2,3,4,5,6,7,9,10,1]=>[1,10,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [4,1,5,3,7,2,6,8]=>[8,6,2,7,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,2,1,6,4,3,5,8]=>[8,5,3,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [5,7,2,1,4,3,6,8]=>[8,6,3,4,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [3,5,7,2,4,6,8,9,1]=>[1,9,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)=>1 [3,5,7,9,2,4,6,8,10,1]=>[1,10,8,6,4,2,9,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)=>1 [2,7,1,5,3,6,4,8]=>[8,4,6,3,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [1,7,4,6,5,2,3,8]=>[8,3,2,5,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [7,1,4,3,2,6,5,8]=>[8,5,6,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [8,5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8)=>4 [4,3,7,5,6,2,1,8]=>[8,1,2,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [4,7,6,2,1,3,5,8]=>[8,5,3,1,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>([],8)=>8 [9,1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [4,5,2,3,6,8,7,1]=>[1,7,8,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)=>1 [9,3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)=>8 [7,3,2,4,6,8,5,1]=>[1,5,8,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)=>1