Identifier
Values
=>
[1]=>[1]=>1 [1,2]=>[1,2]=>1 [2,1]=>[2,1]=>2 [1,2,3]=>[1,2,3]=>1 [1,3,2]=>[2,3,1]=>2 [2,1,3]=>[1,3,2]=>1 [2,3,1]=>[2,1,3]=>2 [3,1,2]=>[3,1,2]=>3 [3,2,1]=>[3,2,1]=>3 [1,2,3,4]=>[1,2,3,4]=>1 [1,2,4,3]=>[2,3,4,1]=>2 [1,3,2,4]=>[1,2,4,3]=>1 [1,3,4,2]=>[2,3,1,4]=>2 [1,4,2,3]=>[3,4,1,2]=>3 [1,4,3,2]=>[3,4,2,1]=>3 [2,1,3,4]=>[1,3,2,4]=>1 [2,1,4,3]=>[2,4,3,1]=>2 [2,3,1,4]=>[1,4,2,3]=>1 [2,3,4,1]=>[2,1,4,3]=>2 [2,4,1,3]=>[3,1,2,4]=>3 [2,4,3,1]=>[3,2,1,4]=>3 [3,1,2,4]=>[1,3,4,2]=>1 [3,1,4,2]=>[2,4,1,3]=>2 [3,2,1,4]=>[1,4,3,2]=>1 [3,2,4,1]=>[2,1,3,4]=>2 [3,4,1,2]=>[3,1,4,2]=>3 [3,4,2,1]=>[3,2,4,1]=>3 [4,1,2,3]=>[4,1,3,2]=>4 [4,1,3,2]=>[4,1,2,3]=>4 [4,2,1,3]=>[4,2,3,1]=>4 [4,2,3,1]=>[4,3,2,1]=>4 [4,3,1,2]=>[4,2,1,3]=>4 [4,3,2,1]=>[4,3,1,2]=>4 [1,2,3,4,5]=>[1,2,3,4,5]=>1 [1,2,3,5,4]=>[2,3,4,5,1]=>2 [1,2,4,3,5]=>[1,2,3,5,4]=>1 [1,2,4,5,3]=>[2,3,4,1,5]=>2 [1,2,5,3,4]=>[3,4,5,1,2]=>3 [1,2,5,4,3]=>[3,4,5,2,1]=>3 [1,3,2,4,5]=>[1,2,4,3,5]=>1 [1,3,2,5,4]=>[2,3,5,4,1]=>2 [1,3,4,2,5]=>[1,2,5,3,4]=>1 [1,3,4,5,2]=>[2,3,1,5,4]=>2 [1,3,5,2,4]=>[3,4,1,2,5]=>3 [1,3,5,4,2]=>[3,4,2,1,5]=>3 [1,4,2,3,5]=>[1,2,4,5,3]=>1 [1,4,2,5,3]=>[2,3,5,1,4]=>2 [1,4,3,2,5]=>[1,2,5,4,3]=>1 [1,4,3,5,2]=>[2,3,1,4,5]=>2 [1,4,5,2,3]=>[3,4,1,5,2]=>3 [1,4,5,3,2]=>[3,4,2,5,1]=>3 [1,5,2,3,4]=>[4,5,1,3,2]=>4 [1,5,2,4,3]=>[4,5,1,2,3]=>4 [1,5,3,2,4]=>[4,5,2,3,1]=>4 [1,5,3,4,2]=>[4,5,3,2,1]=>4 [1,5,4,2,3]=>[4,5,2,1,3]=>4 [1,5,4,3,2]=>[4,5,3,1,2]=>4 [2,1,3,4,5]=>[1,3,2,4,5]=>1 [2,1,3,5,4]=>[2,4,3,5,1]=>2 [2,1,4,3,5]=>[1,3,2,5,4]=>1 [2,1,4,5,3]=>[2,4,3,1,5]=>2 [2,1,5,3,4]=>[3,5,4,1,2]=>3 [2,1,5,4,3]=>[3,5,4,2,1]=>3 [2,3,1,4,5]=>[1,4,2,3,5]=>1 [2,3,1,5,4]=>[2,5,3,4,1]=>2 [2,3,4,1,5]=>[1,5,2,3,4]=>1 [2,3,4,5,1]=>[2,1,5,4,3]=>2 [2,3,5,1,4]=>[3,1,2,4,5]=>3 [2,3,5,4,1]=>[3,2,1,5,4]=>3 [2,4,1,3,5]=>[1,4,2,5,3]=>1 [2,4,1,5,3]=>[2,5,3,1,4]=>2 [2,4,3,1,5]=>[1,5,2,4,3]=>1 [2,4,3,5,1]=>[2,1,4,5,3]=>2 [2,4,5,1,3]=>[3,1,5,2,4]=>3 [2,4,5,3,1]=>[3,2,5,1,4]=>3 [2,5,1,3,4]=>[4,1,3,5,2]=>4 [2,5,1,4,3]=>[4,1,2,5,3]=>4 [2,5,3,1,4]=>[4,2,3,5,1]=>4 [2,5,3,4,1]=>[4,3,2,1,5]=>4 [2,5,4,1,3]=>[4,2,1,3,5]=>4 [2,5,4,3,1]=>[4,3,1,2,5]=>4 [3,1,2,4,5]=>[1,3,4,2,5]=>1 [3,1,2,5,4]=>[2,4,5,3,1]=>2 [3,1,4,2,5]=>[1,3,5,2,4]=>1 [3,1,4,5,2]=>[2,4,1,5,3]=>2 [3,1,5,2,4]=>[3,5,1,2,4]=>3 [3,1,5,4,2]=>[3,5,2,1,4]=>3 [3,2,1,4,5]=>[1,4,3,2,5]=>1 [3,2,1,5,4]=>[2,5,4,3,1]=>2 [3,2,4,1,5]=>[1,5,3,2,4]=>1 [3,2,4,5,1]=>[2,1,5,3,4]=>2 [3,2,5,1,4]=>[3,1,2,5,4]=>3 [3,2,5,4,1]=>[3,2,1,4,5]=>3 [3,4,1,2,5]=>[1,4,5,2,3]=>1 [3,4,1,5,2]=>[2,5,1,4,3]=>2 [3,4,2,1,5]=>[1,5,4,2,3]=>1 [3,4,2,5,1]=>[2,1,4,3,5]=>2 [3,4,5,1,2]=>[3,1,5,4,2]=>3 [3,4,5,2,1]=>[3,2,5,4,1]=>3 [3,5,1,2,4]=>[4,1,3,2,5]=>4 [3,5,1,4,2]=>[4,1,2,3,5]=>4 [3,5,2,1,4]=>[4,2,3,1,5]=>4 [3,5,2,4,1]=>[4,3,2,5,1]=>4 [3,5,4,1,2]=>[4,2,1,5,3]=>4 [3,5,4,2,1]=>[4,3,1,5,2]=>4 [4,1,2,3,5]=>[1,3,4,5,2]=>1 [4,1,2,5,3]=>[2,4,5,1,3]=>2 [4,1,3,2,5]=>[1,3,5,4,2]=>1 [4,1,3,5,2]=>[2,4,1,3,5]=>2 [4,1,5,2,3]=>[3,5,1,4,2]=>3 [4,1,5,3,2]=>[3,5,2,4,1]=>3 [4,2,1,3,5]=>[1,4,3,5,2]=>1 [4,2,1,5,3]=>[2,5,4,1,3]=>2 [4,2,3,1,5]=>[1,5,3,4,2]=>1 [4,2,3,5,1]=>[2,1,3,5,4]=>2 [4,2,5,1,3]=>[3,1,4,2,5]=>3 [4,2,5,3,1]=>[3,2,4,1,5]=>3 [4,3,1,2,5]=>[1,4,5,3,2]=>1 [4,3,1,5,2]=>[2,5,1,3,4]=>2 [4,3,2,1,5]=>[1,5,4,3,2]=>1 [4,3,2,5,1]=>[2,1,3,4,5]=>2 [4,3,5,1,2]=>[3,1,4,5,2]=>3 [4,3,5,2,1]=>[3,2,4,5,1]=>3 [4,5,1,2,3]=>[4,1,5,3,2]=>4 [4,5,1,3,2]=>[4,1,5,2,3]=>4 [4,5,2,1,3]=>[4,2,5,3,1]=>4 [4,5,2,3,1]=>[4,3,5,2,1]=>4 [4,5,3,1,2]=>[4,2,5,1,3]=>4 [4,5,3,2,1]=>[4,3,5,1,2]=>4 [5,1,2,3,4]=>[5,1,4,2,3]=>5 [5,1,2,4,3]=>[5,1,3,2,4]=>5 [5,1,3,2,4]=>[5,1,4,3,2]=>5 [5,1,3,4,2]=>[5,1,3,4,2]=>5 [5,1,4,2,3]=>[5,1,2,3,4]=>5 [5,1,4,3,2]=>[5,1,2,4,3]=>5 [5,2,1,3,4]=>[5,2,4,1,3]=>5 [5,2,1,4,3]=>[5,2,3,1,4]=>5 [5,2,3,1,4]=>[5,3,4,1,2]=>5 [5,2,3,4,1]=>[5,4,3,2,1]=>5 [5,2,4,1,3]=>[5,3,2,4,1]=>5 [5,2,4,3,1]=>[5,4,2,3,1]=>5 [5,3,1,2,4]=>[5,2,4,3,1]=>5 [5,3,1,4,2]=>[5,2,3,4,1]=>5 [5,3,2,1,4]=>[5,3,4,2,1]=>5 [5,3,2,4,1]=>[5,4,3,1,2]=>5 [5,3,4,1,2]=>[5,3,2,1,4]=>5 [5,3,4,2,1]=>[5,4,2,1,3]=>5 [5,4,1,2,3]=>[5,2,1,4,3]=>5 [5,4,1,3,2]=>[5,2,1,3,4]=>5 [5,4,2,1,3]=>[5,3,1,4,2]=>5 [5,4,2,3,1]=>[5,4,1,3,2]=>5 [5,4,3,1,2]=>[5,3,1,2,4]=>5 [5,4,3,2,1]=>[5,4,1,2,3]=>5 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>1 [1,2,3,4,6,5]=>[2,3,4,5,6,1]=>2 [1,2,3,5,4,6]=>[1,2,3,4,6,5]=>1 [1,2,3,5,6,4]=>[2,3,4,5,1,6]=>2 [1,2,3,6,4,5]=>[3,4,5,6,1,2]=>3 [1,2,3,6,5,4]=>[3,4,5,6,2,1]=>3 [1,2,4,3,5,6]=>[1,2,3,5,4,6]=>1 [1,2,4,3,6,5]=>[2,3,4,6,5,1]=>2 [1,2,4,5,3,6]=>[1,2,3,6,4,5]=>1 [1,2,4,5,6,3]=>[2,3,4,1,6,5]=>2 [1,2,4,6,3,5]=>[3,4,5,1,2,6]=>3 [1,2,4,6,5,3]=>[3,4,5,2,1,6]=>3 [1,2,5,3,4,6]=>[1,2,3,5,6,4]=>1 [1,2,5,3,6,4]=>[2,3,4,6,1,5]=>2 [1,2,5,4,3,6]=>[1,2,3,6,5,4]=>1 [1,2,5,4,6,3]=>[2,3,4,1,5,6]=>2 [1,2,5,6,3,4]=>[3,4,5,1,6,2]=>3 [1,2,5,6,4,3]=>[3,4,5,2,6,1]=>3 [1,2,6,3,4,5]=>[4,5,6,1,3,2]=>4 [1,2,6,3,5,4]=>[4,5,6,1,2,3]=>4 [1,2,6,4,3,5]=>[4,5,6,2,3,1]=>4 [1,2,6,4,5,3]=>[4,5,6,3,2,1]=>4 [1,2,6,5,3,4]=>[4,5,6,2,1,3]=>4 [1,2,6,5,4,3]=>[4,5,6,3,1,2]=>4 [1,3,2,4,5,6]=>[1,2,4,3,5,6]=>1 [1,3,2,4,6,5]=>[2,3,5,4,6,1]=>2 [1,3,2,5,4,6]=>[1,2,4,3,6,5]=>1 [1,3,2,5,6,4]=>[2,3,5,4,1,6]=>2 [1,3,2,6,4,5]=>[3,4,6,5,1,2]=>3 [1,3,2,6,5,4]=>[3,4,6,5,2,1]=>3 [1,3,4,2,5,6]=>[1,2,5,3,4,6]=>1 [1,3,4,2,6,5]=>[2,3,6,4,5,1]=>2 [1,3,4,5,2,6]=>[1,2,6,3,4,5]=>1 [1,3,4,5,6,2]=>[2,3,1,6,5,4]=>2 [1,3,4,6,2,5]=>[3,4,1,2,5,6]=>3 [1,3,4,6,5,2]=>[3,4,2,1,6,5]=>3 [1,3,5,2,4,6]=>[1,2,5,3,6,4]=>1 [1,3,5,2,6,4]=>[2,3,6,4,1,5]=>2 [1,3,5,4,2,6]=>[1,2,6,3,5,4]=>1 [1,3,5,4,6,2]=>[2,3,1,5,6,4]=>2 [1,3,5,6,2,4]=>[3,4,1,6,2,5]=>3 [1,3,5,6,4,2]=>[3,4,2,6,1,5]=>3 [1,3,6,2,4,5]=>[4,5,1,3,6,2]=>4 [1,3,6,2,5,4]=>[4,5,1,2,6,3]=>4 [1,3,6,4,2,5]=>[4,5,2,3,6,1]=>4 [1,3,6,4,5,2]=>[4,5,3,2,1,6]=>4 [1,3,6,5,2,4]=>[4,5,2,1,3,6]=>4 [1,3,6,5,4,2]=>[4,5,3,1,2,6]=>4 [1,4,2,3,5,6]=>[1,2,4,5,3,6]=>1 [1,4,2,3,6,5]=>[2,3,5,6,4,1]=>2 [1,4,2,5,3,6]=>[1,2,4,6,3,5]=>1 [1,4,2,5,6,3]=>[2,3,5,1,6,4]=>2 [1,4,2,6,3,5]=>[3,4,6,1,2,5]=>3 [1,4,2,6,5,3]=>[3,4,6,2,1,5]=>3 [1,4,3,2,5,6]=>[1,2,5,4,3,6]=>1 [1,4,3,2,6,5]=>[2,3,6,5,4,1]=>2 [1,4,3,5,2,6]=>[1,2,6,4,3,5]=>1 [1,4,3,5,6,2]=>[2,3,1,6,4,5]=>2 [1,4,3,6,2,5]=>[3,4,1,2,6,5]=>3 [1,4,3,6,5,2]=>[3,4,2,1,5,6]=>3 [1,4,5,2,3,6]=>[1,2,5,6,3,4]=>1 [1,4,5,2,6,3]=>[2,3,6,1,5,4]=>2 [1,4,5,3,2,6]=>[1,2,6,5,3,4]=>1 [1,4,5,3,6,2]=>[2,3,1,5,4,6]=>2 [1,4,5,6,2,3]=>[3,4,1,6,5,2]=>3 [1,4,5,6,3,2]=>[3,4,2,6,5,1]=>3 [1,4,6,2,3,5]=>[4,5,1,3,2,6]=>4 [1,4,6,2,5,3]=>[4,5,1,2,3,6]=>4 [1,4,6,3,2,5]=>[4,5,2,3,1,6]=>4 [1,4,6,3,5,2]=>[4,5,3,2,6,1]=>4 [1,4,6,5,2,3]=>[4,5,2,1,6,3]=>4 [1,4,6,5,3,2]=>[4,5,3,1,6,2]=>4 [1,5,2,3,4,6]=>[1,2,4,5,6,3]=>1 [1,5,2,3,6,4]=>[2,3,5,6,1,4]=>2 [1,5,2,4,3,6]=>[1,2,4,6,5,3]=>1 [1,5,2,4,6,3]=>[2,3,5,1,4,6]=>2 [1,5,2,6,3,4]=>[3,4,6,1,5,2]=>3 [1,5,2,6,4,3]=>[3,4,6,2,5,1]=>3 [1,5,3,2,4,6]=>[1,2,5,4,6,3]=>1 [1,5,3,2,6,4]=>[2,3,6,5,1,4]=>2 [1,5,3,4,2,6]=>[1,2,6,4,5,3]=>1 [1,5,3,4,6,2]=>[2,3,1,4,6,5]=>2 [1,5,3,6,2,4]=>[3,4,1,5,2,6]=>3 [1,5,3,6,4,2]=>[3,4,2,5,1,6]=>3 [1,5,4,2,3,6]=>[1,2,5,6,4,3]=>1 [1,5,4,2,6,3]=>[2,3,6,1,4,5]=>2 [1,5,4,3,2,6]=>[1,2,6,5,4,3]=>1 [1,5,4,3,6,2]=>[2,3,1,4,5,6]=>2 [1,5,4,6,2,3]=>[3,4,1,5,6,2]=>3 [1,5,4,6,3,2]=>[3,4,2,5,6,1]=>3 [1,5,6,2,3,4]=>[4,5,1,6,3,2]=>4 [1,5,6,2,4,3]=>[4,5,1,6,2,3]=>4 [1,5,6,3,2,4]=>[4,5,2,6,3,1]=>4 [1,5,6,3,4,2]=>[4,5,3,6,2,1]=>4 [1,5,6,4,2,3]=>[4,5,2,6,1,3]=>4 [1,5,6,4,3,2]=>[4,5,3,6,1,2]=>4 [1,6,2,3,4,5]=>[5,6,1,4,2,3]=>5 [1,6,2,3,5,4]=>[5,6,1,3,2,4]=>5 [1,6,2,4,3,5]=>[5,6,1,4,3,2]=>5 [1,6,2,4,5,3]=>[5,6,1,3,4,2]=>5 [1,6,2,5,3,4]=>[5,6,1,2,3,4]=>5 [1,6,2,5,4,3]=>[5,6,1,2,4,3]=>5 [1,6,3,2,4,5]=>[5,6,2,4,1,3]=>5 [1,6,3,2,5,4]=>[5,6,2,3,1,4]=>5 [1,6,3,4,2,5]=>[5,6,3,4,1,2]=>5 [1,6,3,4,5,2]=>[5,6,4,3,2,1]=>5 [1,6,3,5,2,4]=>[5,6,3,2,4,1]=>5 [1,6,3,5,4,2]=>[5,6,4,2,3,1]=>5 [1,6,4,2,3,5]=>[5,6,2,4,3,1]=>5 [1,6,4,2,5,3]=>[5,6,2,3,4,1]=>5 [1,6,4,3,2,5]=>[5,6,3,4,2,1]=>5 [1,6,4,3,5,2]=>[5,6,4,3,1,2]=>5 [1,6,4,5,2,3]=>[5,6,3,2,1,4]=>5 [1,6,4,5,3,2]=>[5,6,4,2,1,3]=>5 [1,6,5,2,3,4]=>[5,6,2,1,4,3]=>5 [1,6,5,2,4,3]=>[5,6,2,1,3,4]=>5 [1,6,5,3,2,4]=>[5,6,3,1,4,2]=>5 [1,6,5,3,4,2]=>[5,6,4,1,3,2]=>5 [1,6,5,4,2,3]=>[5,6,3,1,2,4]=>5 [1,6,5,4,3,2]=>[5,6,4,1,2,3]=>5 [2,1,3,4,5,6]=>[1,3,2,4,5,6]=>1 [2,1,3,4,6,5]=>[2,4,3,5,6,1]=>2 [2,1,3,5,4,6]=>[1,3,2,4,6,5]=>1 [2,1,3,5,6,4]=>[2,4,3,5,1,6]=>2 [2,1,3,6,4,5]=>[3,5,4,6,1,2]=>3 [2,1,3,6,5,4]=>[3,5,4,6,2,1]=>3 [2,1,4,3,5,6]=>[1,3,2,5,4,6]=>1 [2,1,4,3,6,5]=>[2,4,3,6,5,1]=>2 [2,1,4,5,3,6]=>[1,3,2,6,4,5]=>1 [2,1,4,5,6,3]=>[2,4,3,1,6,5]=>2 [2,1,4,6,3,5]=>[3,5,4,1,2,6]=>3 [2,1,4,6,5,3]=>[3,5,4,2,1,6]=>3 [2,1,5,3,4,6]=>[1,3,2,5,6,4]=>1 [2,1,5,3,6,4]=>[2,4,3,6,1,5]=>2 [2,1,5,4,3,6]=>[1,3,2,6,5,4]=>1 [2,1,5,4,6,3]=>[2,4,3,1,5,6]=>2 [2,1,5,6,3,4]=>[3,5,4,1,6,2]=>3 [2,1,5,6,4,3]=>[3,5,4,2,6,1]=>3 [2,1,6,3,4,5]=>[4,6,5,1,3,2]=>4 [2,1,6,3,5,4]=>[4,6,5,1,2,3]=>4 [2,1,6,4,3,5]=>[4,6,5,2,3,1]=>4 [2,1,6,4,5,3]=>[4,6,5,3,2,1]=>4 [2,1,6,5,3,4]=>[4,6,5,2,1,3]=>4 [2,1,6,5,4,3]=>[4,6,5,3,1,2]=>4 [2,3,1,4,5,6]=>[1,4,2,3,5,6]=>1 [2,3,1,4,6,5]=>[2,5,3,4,6,1]=>2 [2,3,1,5,4,6]=>[1,4,2,3,6,5]=>1 [2,3,1,5,6,4]=>[2,5,3,4,1,6]=>2 [2,3,1,6,4,5]=>[3,6,4,5,1,2]=>3 [2,3,1,6,5,4]=>[3,6,4,5,2,1]=>3 [2,3,4,1,5,6]=>[1,5,2,3,4,6]=>1 [2,3,4,1,6,5]=>[2,6,3,4,5,1]=>2 [2,3,4,5,1,6]=>[1,6,2,3,4,5]=>1 [2,3,4,5,6,1]=>[2,1,6,5,4,3]=>2 [2,3,4,6,1,5]=>[3,1,2,4,5,6]=>3 [2,3,4,6,5,1]=>[3,2,1,6,5,4]=>3 [2,3,5,1,4,6]=>[1,5,2,3,6,4]=>1 [2,3,5,1,6,4]=>[2,6,3,4,1,5]=>2 [2,3,5,4,1,6]=>[1,6,2,3,5,4]=>1 [2,3,5,4,6,1]=>[2,1,5,6,4,3]=>2 [2,3,5,6,1,4]=>[3,1,6,2,4,5]=>3 [2,3,5,6,4,1]=>[3,2,6,1,5,4]=>3 [2,3,6,1,4,5]=>[4,1,3,5,6,2]=>4 [2,3,6,1,5,4]=>[4,1,2,5,6,3]=>4 [2,3,6,4,1,5]=>[4,2,3,5,6,1]=>4 [2,3,6,4,5,1]=>[4,3,2,1,6,5]=>4 [2,3,6,5,1,4]=>[4,2,1,3,5,6]=>4 [2,3,6,5,4,1]=>[4,3,1,2,6,5]=>4 [2,4,1,3,5,6]=>[1,4,2,5,3,6]=>1 [2,4,1,3,6,5]=>[2,5,3,6,4,1]=>2 [2,4,1,5,3,6]=>[1,4,2,6,3,5]=>1 [2,4,1,5,6,3]=>[2,5,3,1,6,4]=>2 [2,4,1,6,3,5]=>[3,6,4,1,2,5]=>3 [2,4,1,6,5,3]=>[3,6,4,2,1,5]=>3 [2,4,3,1,5,6]=>[1,5,2,4,3,6]=>1 [2,4,3,1,6,5]=>[2,6,3,5,4,1]=>2 [2,4,3,5,1,6]=>[1,6,2,4,3,5]=>1 [2,4,3,5,6,1]=>[2,1,6,4,5,3]=>2 [2,4,3,6,1,5]=>[3,1,2,4,6,5]=>3 [2,4,3,6,5,1]=>[3,2,1,5,6,4]=>3 [2,4,5,1,3,6]=>[1,5,2,6,3,4]=>1 [2,4,5,1,6,3]=>[2,6,3,1,5,4]=>2 [2,4,5,3,1,6]=>[1,6,2,5,3,4]=>1 [2,4,5,3,6,1]=>[2,1,5,4,6,3]=>2 [2,4,5,6,1,3]=>[3,1,6,5,2,4]=>3 [2,4,5,6,3,1]=>[3,2,6,5,1,4]=>3 [2,4,6,1,3,5]=>[4,1,3,5,2,6]=>4 [2,4,6,1,5,3]=>[4,1,2,5,3,6]=>4 [2,4,6,3,1,5]=>[4,2,3,5,1,6]=>4 [2,4,6,3,5,1]=>[4,3,2,6,1,5]=>4 [2,4,6,5,1,3]=>[4,2,1,6,3,5]=>4 [2,4,6,5,3,1]=>[4,3,1,6,2,5]=>4 [2,5,1,3,4,6]=>[1,4,2,5,6,3]=>1 [2,5,1,3,6,4]=>[2,5,3,6,1,4]=>2 [2,5,1,4,3,6]=>[1,4,2,6,5,3]=>1 [2,5,1,4,6,3]=>[2,5,3,1,4,6]=>2 [2,5,1,6,3,4]=>[3,6,4,1,5,2]=>3 [2,5,1,6,4,3]=>[3,6,4,2,5,1]=>3 [2,5,3,1,4,6]=>[1,5,2,4,6,3]=>1 [2,5,3,1,6,4]=>[2,6,3,5,1,4]=>2 [2,5,3,4,1,6]=>[1,6,2,4,5,3]=>1 [2,5,3,4,6,1]=>[2,1,4,6,5,3]=>2 [2,5,3,6,1,4]=>[3,1,5,2,4,6]=>3 [2,5,3,6,4,1]=>[3,2,5,1,6,4]=>3 [2,5,4,1,3,6]=>[1,5,2,6,4,3]=>1 [2,5,4,1,6,3]=>[2,6,3,1,4,5]=>2 [2,5,4,3,1,6]=>[1,6,2,5,4,3]=>1 [2,5,4,3,6,1]=>[2,1,4,5,6,3]=>2 [2,5,4,6,1,3]=>[3,1,5,6,2,4]=>3 [2,5,4,6,3,1]=>[3,2,5,6,1,4]=>3 [2,5,6,1,3,4]=>[4,1,6,3,5,2]=>4 [2,5,6,1,4,3]=>[4,1,6,2,5,3]=>4 [2,5,6,3,1,4]=>[4,2,6,3,5,1]=>4 [2,5,6,3,4,1]=>[4,3,6,2,1,5]=>4 [2,5,6,4,1,3]=>[4,2,6,1,3,5]=>4 [2,5,6,4,3,1]=>[4,3,6,1,2,5]=>4 [2,6,1,3,4,5]=>[5,1,4,6,2,3]=>5 [2,6,1,3,5,4]=>[5,1,3,6,2,4]=>5 [2,6,1,4,3,5]=>[5,1,4,6,3,2]=>5 [2,6,1,4,5,3]=>[5,1,3,6,4,2]=>5 [2,6,1,5,3,4]=>[5,1,2,6,3,4]=>5 [2,6,1,5,4,3]=>[5,1,2,6,4,3]=>5 [2,6,3,1,4,5]=>[5,2,4,6,1,3]=>5 [2,6,3,1,5,4]=>[5,2,3,6,1,4]=>5 [2,6,3,4,1,5]=>[5,3,4,6,1,2]=>5 [2,6,3,4,5,1]=>[5,4,3,2,1,6]=>5 [2,6,3,5,1,4]=>[5,3,2,4,6,1]=>5 [2,6,3,5,4,1]=>[5,4,2,3,1,6]=>5 [2,6,4,1,3,5]=>[5,2,4,6,3,1]=>5 [2,6,4,1,5,3]=>[5,2,3,6,4,1]=>5 [2,6,4,3,1,5]=>[5,3,4,6,2,1]=>5 [2,6,4,3,5,1]=>[5,4,3,1,2,6]=>5 [2,6,4,5,1,3]=>[5,3,2,1,4,6]=>5 [2,6,4,5,3,1]=>[5,4,2,1,3,6]=>5 [2,6,5,1,3,4]=>[5,2,1,4,6,3]=>5 [2,6,5,1,4,3]=>[5,2,1,3,6,4]=>5 [2,6,5,3,1,4]=>[5,3,1,4,6,2]=>5 [2,6,5,3,4,1]=>[5,4,1,3,2,6]=>5 [2,6,5,4,1,3]=>[5,3,1,2,4,6]=>5 [2,6,5,4,3,1]=>[5,4,1,2,3,6]=>5 [3,1,2,4,5,6]=>[1,3,4,2,5,6]=>1 [3,1,2,4,6,5]=>[2,4,5,3,6,1]=>2 [3,1,2,5,4,6]=>[1,3,4,2,6,5]=>1 [3,1,2,5,6,4]=>[2,4,5,3,1,6]=>2 [3,1,2,6,4,5]=>[3,5,6,4,1,2]=>3 [3,1,2,6,5,4]=>[3,5,6,4,2,1]=>3 [3,1,4,2,5,6]=>[1,3,5,2,4,6]=>1 [3,1,4,2,6,5]=>[2,4,6,3,5,1]=>2 [3,1,4,5,2,6]=>[1,3,6,2,4,5]=>1 [3,1,4,5,6,2]=>[2,4,1,6,5,3]=>2 [3,1,4,6,2,5]=>[3,5,1,2,4,6]=>3 [3,1,4,6,5,2]=>[3,5,2,1,6,4]=>3 [3,1,5,2,4,6]=>[1,3,5,2,6,4]=>1 [3,1,5,2,6,4]=>[2,4,6,3,1,5]=>2 [3,1,5,4,2,6]=>[1,3,6,2,5,4]=>1 [3,1,5,4,6,2]=>[2,4,1,5,6,3]=>2 [3,1,5,6,2,4]=>[3,5,1,6,2,4]=>3 [3,1,5,6,4,2]=>[3,5,2,6,1,4]=>3 [3,1,6,2,4,5]=>[4,6,1,3,5,2]=>4 [3,1,6,2,5,4]=>[4,6,1,2,5,3]=>4 [3,1,6,4,2,5]=>[4,6,2,3,5,1]=>4 [3,1,6,4,5,2]=>[4,6,3,2,1,5]=>4 [3,1,6,5,2,4]=>[4,6,2,1,3,5]=>4 [3,1,6,5,4,2]=>[4,6,3,1,2,5]=>4 [3,2,1,4,5,6]=>[1,4,3,2,5,6]=>1 [3,2,1,4,6,5]=>[2,5,4,3,6,1]=>2 [3,2,1,5,4,6]=>[1,4,3,2,6,5]=>1 [3,2,1,5,6,4]=>[2,5,4,3,1,6]=>2 [3,2,1,6,4,5]=>[3,6,5,4,1,2]=>3 [3,2,1,6,5,4]=>[3,6,5,4,2,1]=>3 [3,2,4,1,5,6]=>[1,5,3,2,4,6]=>1 [3,2,4,1,6,5]=>[2,6,4,3,5,1]=>2 [3,2,4,5,1,6]=>[1,6,3,2,4,5]=>1 [3,2,4,5,6,1]=>[2,1,6,5,3,4]=>2 [3,2,4,6,1,5]=>[3,1,2,5,4,6]=>3 [3,2,4,6,5,1]=>[3,2,1,6,4,5]=>3 [3,2,5,1,4,6]=>[1,5,3,2,6,4]=>1 [3,2,5,1,6,4]=>[2,6,4,3,1,5]=>2 [3,2,5,4,1,6]=>[1,6,3,2,5,4]=>1 [3,2,5,4,6,1]=>[2,1,5,6,3,4]=>2 [3,2,5,6,1,4]=>[3,1,6,2,5,4]=>3 [3,2,5,6,4,1]=>[3,2,6,1,4,5]=>3 [3,2,6,1,4,5]=>[4,1,3,6,5,2]=>4 [3,2,6,1,5,4]=>[4,1,2,6,5,3]=>4 [3,2,6,4,1,5]=>[4,2,3,6,5,1]=>4 [3,2,6,4,5,1]=>[4,3,2,1,5,6]=>4 [3,2,6,5,1,4]=>[4,2,1,3,6,5]=>4 [3,2,6,5,4,1]=>[4,3,1,2,5,6]=>4 [3,4,1,2,5,6]=>[1,4,5,2,3,6]=>1 [3,4,1,2,6,5]=>[2,5,6,3,4,1]=>2 [3,4,1,5,2,6]=>[1,4,6,2,3,5]=>1 [3,4,1,5,6,2]=>[2,5,1,6,4,3]=>2 [3,4,1,6,2,5]=>[3,6,1,2,4,5]=>3 [3,4,1,6,5,2]=>[3,6,2,1,5,4]=>3 [3,4,2,1,5,6]=>[1,5,4,2,3,6]=>1 [3,4,2,1,6,5]=>[2,6,5,3,4,1]=>2 [3,4,2,5,1,6]=>[1,6,4,2,3,5]=>1 [3,4,2,5,6,1]=>[2,1,6,4,3,5]=>2 [3,4,2,6,1,5]=>[3,1,2,6,4,5]=>3 [3,4,2,6,5,1]=>[3,2,1,5,4,6]=>3 [3,4,5,1,2,6]=>[1,5,6,2,3,4]=>1 [3,4,5,1,6,2]=>[2,6,1,5,4,3]=>2 [3,4,5,2,1,6]=>[1,6,5,2,3,4]=>1 [3,4,5,2,6,1]=>[2,1,5,4,3,6]=>2 [3,4,5,6,1,2]=>[3,1,6,5,4,2]=>3 [3,4,5,6,2,1]=>[3,2,6,5,4,1]=>3 [3,4,6,1,2,5]=>[4,1,3,2,5,6]=>4 [3,4,6,1,5,2]=>[4,1,2,3,6,5]=>4 [3,4,6,2,1,5]=>[4,2,3,1,5,6]=>4 [3,4,6,2,5,1]=>[4,3,2,6,5,1]=>4 [3,4,6,5,1,2]=>[4,2,1,6,5,3]=>4 [3,4,6,5,2,1]=>[4,3,1,6,5,2]=>4 [3,5,1,2,4,6]=>[1,4,5,2,6,3]=>1 [3,5,1,2,6,4]=>[2,5,6,3,1,4]=>2 [3,5,1,4,2,6]=>[1,4,6,2,5,3]=>1 [3,5,1,4,6,2]=>[2,5,1,4,6,3]=>2 [3,5,1,6,2,4]=>[3,6,1,5,2,4]=>3 [3,5,1,6,4,2]=>[3,6,2,5,1,4]=>3 [3,5,2,1,4,6]=>[1,5,4,2,6,3]=>1 [3,5,2,1,6,4]=>[2,6,5,3,1,4]=>2 [3,5,2,4,1,6]=>[1,6,4,2,5,3]=>1 [3,5,2,4,6,1]=>[2,1,4,6,3,5]=>2 [3,5,2,6,1,4]=>[3,1,5,2,6,4]=>3 [3,5,2,6,4,1]=>[3,2,5,1,4,6]=>3 [3,5,4,1,2,6]=>[1,5,6,2,4,3]=>1 [3,5,4,1,6,2]=>[2,6,1,4,5,3]=>2 [3,5,4,2,1,6]=>[1,6,5,2,4,3]=>1 [3,5,4,2,6,1]=>[2,1,4,5,3,6]=>2 [3,5,4,6,1,2]=>[3,1,5,6,4,2]=>3 [3,5,4,6,2,1]=>[3,2,5,6,4,1]=>3 [3,5,6,1,2,4]=>[4,1,6,3,2,5]=>4 [3,5,6,1,4,2]=>[4,1,6,2,3,5]=>4 [3,5,6,2,1,4]=>[4,2,6,3,1,5]=>4 [3,5,6,2,4,1]=>[4,3,6,2,5,1]=>4 [3,5,6,4,1,2]=>[4,2,6,1,5,3]=>4 [3,5,6,4,2,1]=>[4,3,6,1,5,2]=>4 [3,6,1,2,4,5]=>[5,1,4,2,6,3]=>5 [3,6,1,2,5,4]=>[5,1,3,2,6,4]=>5 [3,6,1,4,2,5]=>[5,1,4,3,6,2]=>5 [3,6,1,4,5,2]=>[5,1,3,4,2,6]=>5 [3,6,1,5,2,4]=>[5,1,2,3,4,6]=>5 [3,6,1,5,4,2]=>[5,1,2,4,3,6]=>5 [3,6,2,1,4,5]=>[5,2,4,1,6,3]=>5 [3,6,2,1,5,4]=>[5,2,3,1,6,4]=>5 [3,6,2,4,1,5]=>[5,3,4,1,6,2]=>5 [3,6,2,4,5,1]=>[5,4,3,2,6,1]=>5 [3,6,2,5,1,4]=>[5,3,2,4,1,6]=>5 [3,6,2,5,4,1]=>[5,4,2,3,6,1]=>5 [3,6,4,1,2,5]=>[5,2,4,3,6,1]=>5 [3,6,4,1,5,2]=>[5,2,3,4,1,6]=>5 [3,6,4,2,1,5]=>[5,3,4,2,6,1]=>5 [3,6,4,2,5,1]=>[5,4,3,1,6,2]=>5 [3,6,4,5,1,2]=>[5,3,2,1,6,4]=>5 [3,6,4,5,2,1]=>[5,4,2,1,6,3]=>5 [3,6,5,1,2,4]=>[5,2,1,4,3,6]=>5 [3,6,5,1,4,2]=>[5,2,1,3,4,6]=>5 [3,6,5,2,1,4]=>[5,3,1,4,2,6]=>5 [3,6,5,2,4,1]=>[5,4,1,3,6,2]=>5 [3,6,5,4,1,2]=>[5,3,1,2,6,4]=>5 [3,6,5,4,2,1]=>[5,4,1,2,6,3]=>5 [4,1,2,3,5,6]=>[1,3,4,5,2,6]=>1 [4,1,2,3,6,5]=>[2,4,5,6,3,1]=>2 [4,1,2,5,3,6]=>[1,3,4,6,2,5]=>1 [4,1,2,5,6,3]=>[2,4,5,1,6,3]=>2 [4,1,2,6,3,5]=>[3,5,6,1,2,4]=>3 [4,1,2,6,5,3]=>[3,5,6,2,1,4]=>3 [4,1,3,2,5,6]=>[1,3,5,4,2,6]=>1 [4,1,3,2,6,5]=>[2,4,6,5,3,1]=>2 [4,1,3,5,2,6]=>[1,3,6,4,2,5]=>1 [4,1,3,5,6,2]=>[2,4,1,6,3,5]=>2 [4,1,3,6,2,5]=>[3,5,1,2,6,4]=>3 [4,1,3,6,5,2]=>[3,5,2,1,4,6]=>3 [4,1,5,2,3,6]=>[1,3,5,6,2,4]=>1 [4,1,5,2,6,3]=>[2,4,6,1,5,3]=>2 [4,1,5,3,2,6]=>[1,3,6,5,2,4]=>1 [4,1,5,3,6,2]=>[2,4,1,5,3,6]=>2 [4,1,5,6,2,3]=>[3,5,1,6,4,2]=>3 [4,1,5,6,3,2]=>[3,5,2,6,4,1]=>3 [4,1,6,2,3,5]=>[4,6,1,3,2,5]=>4 [4,1,6,2,5,3]=>[4,6,1,2,3,5]=>4 [4,1,6,3,2,5]=>[4,6,2,3,1,5]=>4 [4,1,6,3,5,2]=>[4,6,3,2,5,1]=>4 [4,1,6,5,2,3]=>[4,6,2,1,5,3]=>4 [4,1,6,5,3,2]=>[4,6,3,1,5,2]=>4 [4,2,1,3,5,6]=>[1,4,3,5,2,6]=>1 [4,2,1,3,6,5]=>[2,5,4,6,3,1]=>2 [4,2,1,5,3,6]=>[1,4,3,6,2,5]=>1 [4,2,1,5,6,3]=>[2,5,4,1,6,3]=>2 [4,2,1,6,3,5]=>[3,6,5,1,2,4]=>3 [4,2,1,6,5,3]=>[3,6,5,2,1,4]=>3 [4,2,3,1,5,6]=>[1,5,3,4,2,6]=>1 [4,2,3,1,6,5]=>[2,6,4,5,3,1]=>2 [4,2,3,5,1,6]=>[1,6,3,4,2,5]=>1 [4,2,3,5,6,1]=>[2,1,6,3,5,4]=>2 [4,2,3,6,1,5]=>[3,1,2,5,6,4]=>3 [4,2,3,6,5,1]=>[3,2,1,4,6,5]=>3 [4,2,5,1,3,6]=>[1,5,3,6,2,4]=>1 [4,2,5,1,6,3]=>[2,6,4,1,5,3]=>2 [4,2,5,3,1,6]=>[1,6,3,5,2,4]=>1 [4,2,5,3,6,1]=>[2,1,5,3,6,4]=>2 [4,2,5,6,1,3]=>[3,1,6,4,2,5]=>3 [4,2,5,6,3,1]=>[3,2,6,4,1,5]=>3 [4,2,6,1,3,5]=>[4,1,3,6,2,5]=>4 [4,2,6,1,5,3]=>[4,1,2,6,3,5]=>4 [4,2,6,3,1,5]=>[4,2,3,6,1,5]=>4 [4,2,6,3,5,1]=>[4,3,2,5,1,6]=>4 [4,2,6,5,1,3]=>[4,2,1,5,3,6]=>4 [4,2,6,5,3,1]=>[4,3,1,5,2,6]=>4 [4,3,1,2,5,6]=>[1,4,5,3,2,6]=>1 [4,3,1,2,6,5]=>[2,5,6,4,3,1]=>2 [4,3,1,5,2,6]=>[1,4,6,3,2,5]=>1 [4,3,1,5,6,2]=>[2,5,1,6,3,4]=>2 [4,3,1,6,2,5]=>[3,6,1,2,5,4]=>3 [4,3,1,6,5,2]=>[3,6,2,1,4,5]=>3 [4,3,2,1,5,6]=>[1,5,4,3,2,6]=>1 [4,3,2,1,6,5]=>[2,6,5,4,3,1]=>2 [4,3,2,5,1,6]=>[1,6,4,3,2,5]=>1 [4,3,2,5,6,1]=>[2,1,6,3,4,5]=>2 [4,3,2,6,1,5]=>[3,1,2,6,5,4]=>3 [4,3,2,6,5,1]=>[3,2,1,4,5,6]=>3 [4,3,5,1,2,6]=>[1,5,6,3,2,4]=>1 [4,3,5,1,6,2]=>[2,6,1,5,3,4]=>2 [4,3,5,2,1,6]=>[1,6,5,3,2,4]=>1 [4,3,5,2,6,1]=>[2,1,5,3,4,6]=>2 [4,3,5,6,1,2]=>[3,1,6,4,5,2]=>3 [4,3,5,6,2,1]=>[3,2,6,4,5,1]=>3 [4,3,6,1,2,5]=>[4,1,3,2,6,5]=>4 [4,3,6,1,5,2]=>[4,1,2,3,5,6]=>4 [4,3,6,2,1,5]=>[4,2,3,1,6,5]=>4 [4,3,6,2,5,1]=>[4,3,2,5,6,1]=>4 [4,3,6,5,1,2]=>[4,2,1,5,6,3]=>4 [4,3,6,5,2,1]=>[4,3,1,5,6,2]=>4 [4,5,1,2,3,6]=>[1,4,5,6,2,3]=>1 [4,5,1,2,6,3]=>[2,5,6,1,4,3]=>2 [4,5,1,3,2,6]=>[1,4,6,5,2,3]=>1 [4,5,1,3,6,2]=>[2,5,1,4,3,6]=>2 [4,5,1,6,2,3]=>[3,6,1,5,4,2]=>3 [4,5,1,6,3,2]=>[3,6,2,5,4,1]=>3 [4,5,2,1,3,6]=>[1,5,4,6,2,3]=>1 [4,5,2,1,6,3]=>[2,6,5,1,4,3]=>2 [4,5,2,3,1,6]=>[1,6,4,5,2,3]=>1 [4,5,2,3,6,1]=>[2,1,4,3,6,5]=>2 [4,5,2,6,1,3]=>[3,1,5,4,2,6]=>3 [4,5,2,6,3,1]=>[3,2,5,4,1,6]=>3 [4,5,3,1,2,6]=>[1,5,6,4,2,3]=>1 [4,5,3,1,6,2]=>[2,6,1,4,3,5]=>2 [4,5,3,2,1,6]=>[1,6,5,4,2,3]=>1 [4,5,3,2,6,1]=>[2,1,4,3,5,6]=>2 [4,5,3,6,1,2]=>[3,1,5,4,6,2]=>3 [4,5,3,6,2,1]=>[3,2,5,4,6,1]=>3 [4,5,6,1,2,3]=>[4,1,6,5,3,2]=>4 [4,5,6,1,3,2]=>[4,1,6,5,2,3]=>4 [4,5,6,2,1,3]=>[4,2,6,5,3,1]=>4 [4,5,6,2,3,1]=>[4,3,6,5,2,1]=>4 [4,5,6,3,1,2]=>[4,2,6,5,1,3]=>4 [4,5,6,3,2,1]=>[4,3,6,5,1,2]=>4 [4,6,1,2,3,5]=>[5,1,4,2,3,6]=>5 [4,6,1,2,5,3]=>[5,1,3,2,4,6]=>5 [4,6,1,3,2,5]=>[5,1,4,3,2,6]=>5 [4,6,1,3,5,2]=>[5,1,3,4,6,2]=>5 [4,6,1,5,2,3]=>[5,1,2,3,6,4]=>5 [4,6,1,5,3,2]=>[5,1,2,4,6,3]=>5 [4,6,2,1,3,5]=>[5,2,4,1,3,6]=>5 [4,6,2,1,5,3]=>[5,2,3,1,4,6]=>5 [4,6,2,3,1,5]=>[5,3,4,1,2,6]=>5 [4,6,2,3,5,1]=>[5,4,3,6,2,1]=>5 [4,6,2,5,1,3]=>[5,3,2,6,4,1]=>5 [4,6,2,5,3,1]=>[5,4,2,6,3,1]=>5 [4,6,3,1,2,5]=>[5,2,4,3,1,6]=>5 [4,6,3,1,5,2]=>[5,2,3,4,6,1]=>5 [4,6,3,2,1,5]=>[5,3,4,2,1,6]=>5 [4,6,3,2,5,1]=>[5,4,3,6,1,2]=>5 [4,6,3,5,1,2]=>[5,3,2,6,1,4]=>5 [4,6,3,5,2,1]=>[5,4,2,6,1,3]=>5 [4,6,5,1,2,3]=>[5,2,1,6,4,3]=>5 [4,6,5,1,3,2]=>[5,2,1,6,3,4]=>5 [4,6,5,2,1,3]=>[5,3,1,6,4,2]=>5 [4,6,5,2,3,1]=>[5,4,1,6,3,2]=>5 [4,6,5,3,1,2]=>[5,3,1,6,2,4]=>5 [4,6,5,3,2,1]=>[5,4,1,6,2,3]=>5 [5,1,2,3,4,6]=>[1,3,4,5,6,2]=>1 [5,1,2,3,6,4]=>[2,4,5,6,1,3]=>2 [5,1,2,4,3,6]=>[1,3,4,6,5,2]=>1 [5,1,2,4,6,3]=>[2,4,5,1,3,6]=>2 [5,1,2,6,3,4]=>[3,5,6,1,4,2]=>3 [5,1,2,6,4,3]=>[3,5,6,2,4,1]=>3 [5,1,3,2,4,6]=>[1,3,5,4,6,2]=>1 [5,1,3,2,6,4]=>[2,4,6,5,1,3]=>2 [5,1,3,4,2,6]=>[1,3,6,4,5,2]=>1 [5,1,3,4,6,2]=>[2,4,1,3,6,5]=>2 [5,1,3,6,2,4]=>[3,5,1,4,2,6]=>3 [5,1,3,6,4,2]=>[3,5,2,4,1,6]=>3 [5,1,4,2,3,6]=>[1,3,5,6,4,2]=>1 [5,1,4,2,6,3]=>[2,4,6,1,3,5]=>2 [5,1,4,3,2,6]=>[1,3,6,5,4,2]=>1 [5,1,4,3,6,2]=>[2,4,1,3,5,6]=>2 [5,1,4,6,2,3]=>[3,5,1,4,6,2]=>3 [5,1,4,6,3,2]=>[3,5,2,4,6,1]=>3 [5,1,6,2,3,4]=>[4,6,1,5,3,2]=>4 [5,1,6,2,4,3]=>[4,6,1,5,2,3]=>4 [5,1,6,3,2,4]=>[4,6,2,5,3,1]=>4 [5,1,6,3,4,2]=>[4,6,3,5,2,1]=>4 [5,1,6,4,2,3]=>[4,6,2,5,1,3]=>4 [5,1,6,4,3,2]=>[4,6,3,5,1,2]=>4 [5,2,1,3,4,6]=>[1,4,3,5,6,2]=>1 [5,2,1,3,6,4]=>[2,5,4,6,1,3]=>2 [5,2,1,4,3,6]=>[1,4,3,6,5,2]=>1 [5,2,1,4,6,3]=>[2,5,4,1,3,6]=>2 [5,2,1,6,3,4]=>[3,6,5,1,4,2]=>3 [5,2,1,6,4,3]=>[3,6,5,2,4,1]=>3 [5,2,3,1,4,6]=>[1,5,3,4,6,2]=>1 [5,2,3,1,6,4]=>[2,6,4,5,1,3]=>2 [5,2,3,4,1,6]=>[1,6,3,4,5,2]=>1 [5,2,3,4,6,1]=>[2,1,3,6,5,4]=>2 [5,2,3,6,1,4]=>[3,1,4,2,5,6]=>3 [5,2,3,6,4,1]=>[3,2,4,1,6,5]=>3 [5,2,4,1,3,6]=>[1,5,3,6,4,2]=>1 [5,2,4,1,6,3]=>[2,6,4,1,3,5]=>2 [5,2,4,3,1,6]=>[1,6,3,5,4,2]=>1 [5,2,4,3,6,1]=>[2,1,3,5,6,4]=>2 [5,2,4,6,1,3]=>[3,1,4,6,2,5]=>3 [5,2,4,6,3,1]=>[3,2,4,6,1,5]=>3 [5,2,6,1,3,4]=>[4,1,5,3,6,2]=>4 [5,2,6,1,4,3]=>[4,1,5,2,6,3]=>4 [5,2,6,3,1,4]=>[4,2,5,3,6,1]=>4 [5,2,6,3,4,1]=>[4,3,5,2,1,6]=>4 [5,2,6,4,1,3]=>[4,2,5,1,3,6]=>4 [5,2,6,4,3,1]=>[4,3,5,1,2,6]=>4 [5,3,1,2,4,6]=>[1,4,5,3,6,2]=>1 [5,3,1,2,6,4]=>[2,5,6,4,1,3]=>2 [5,3,1,4,2,6]=>[1,4,6,3,5,2]=>1 [5,3,1,4,6,2]=>[2,5,1,3,6,4]=>2 [5,3,1,6,2,4]=>[3,6,1,4,2,5]=>3 [5,3,1,6,4,2]=>[3,6,2,4,1,5]=>3 [5,3,2,1,4,6]=>[1,5,4,3,6,2]=>1 [5,3,2,1,6,4]=>[2,6,5,4,1,3]=>2 [5,3,2,4,1,6]=>[1,6,4,3,5,2]=>1 [5,3,2,4,6,1]=>[2,1,3,6,4,5]=>2 [5,3,2,6,1,4]=>[3,1,4,2,6,5]=>3 [5,3,2,6,4,1]=>[3,2,4,1,5,6]=>3 [5,3,4,1,2,6]=>[1,5,6,3,4,2]=>1 [5,3,4,1,6,2]=>[2,6,1,3,5,4]=>2 [5,3,4,2,1,6]=>[1,6,5,3,4,2]=>1 [5,3,4,2,6,1]=>[2,1,3,5,4,6]=>2 [5,3,4,6,1,2]=>[3,1,4,6,5,2]=>3 [5,3,4,6,2,1]=>[3,2,4,6,5,1]=>3 [5,3,6,1,2,4]=>[4,1,5,3,2,6]=>4 [5,3,6,1,4,2]=>[4,1,5,2,3,6]=>4 [5,3,6,2,1,4]=>[4,2,5,3,1,6]=>4 [5,3,6,2,4,1]=>[4,3,5,2,6,1]=>4 [5,3,6,4,1,2]=>[4,2,5,1,6,3]=>4 [5,3,6,4,2,1]=>[4,3,5,1,6,2]=>4 [5,4,1,2,3,6]=>[1,4,5,6,3,2]=>1 [5,4,1,2,6,3]=>[2,5,6,1,3,4]=>2 [5,4,1,3,2,6]=>[1,4,6,5,3,2]=>1 [5,4,1,3,6,2]=>[2,5,1,3,4,6]=>2 [5,4,1,6,2,3]=>[3,6,1,4,5,2]=>3 [5,4,1,6,3,2]=>[3,6,2,4,5,1]=>3 [5,4,2,1,3,6]=>[1,5,4,6,3,2]=>1 [5,4,2,1,6,3]=>[2,6,5,1,3,4]=>2 [5,4,2,3,1,6]=>[1,6,4,5,3,2]=>1 [5,4,2,3,6,1]=>[2,1,3,4,6,5]=>2 [5,4,2,6,1,3]=>[3,1,4,5,2,6]=>3 [5,4,2,6,3,1]=>[3,2,4,5,1,6]=>3 [5,4,3,1,2,6]=>[1,5,6,4,3,2]=>1 [5,4,3,1,6,2]=>[2,6,1,3,4,5]=>2 [5,4,3,2,1,6]=>[1,6,5,4,3,2]=>1 [5,4,3,2,6,1]=>[2,1,3,4,5,6]=>2 [5,4,3,6,1,2]=>[3,1,4,5,6,2]=>3 [5,4,3,6,2,1]=>[3,2,4,5,6,1]=>3 [5,4,6,1,2,3]=>[4,1,5,6,3,2]=>4 [5,4,6,1,3,2]=>[4,1,5,6,2,3]=>4 [5,4,6,2,1,3]=>[4,2,5,6,3,1]=>4 [5,4,6,2,3,1]=>[4,3,5,6,2,1]=>4 [5,4,6,3,1,2]=>[4,2,5,6,1,3]=>4 [5,4,6,3,2,1]=>[4,3,5,6,1,2]=>4 [5,6,1,2,3,4]=>[5,1,6,4,2,3]=>5 [5,6,1,2,4,3]=>[5,1,6,3,2,4]=>5 [5,6,1,3,2,4]=>[5,1,6,4,3,2]=>5 [5,6,1,3,4,2]=>[5,1,6,3,4,2]=>5 [5,6,1,4,2,3]=>[5,1,6,2,3,4]=>5 [5,6,1,4,3,2]=>[5,1,6,2,4,3]=>5 [5,6,2,1,3,4]=>[5,2,6,4,1,3]=>5 [5,6,2,1,4,3]=>[5,2,6,3,1,4]=>5 [5,6,2,3,1,4]=>[5,3,6,4,1,2]=>5 [5,6,2,3,4,1]=>[5,4,6,3,2,1]=>5 [5,6,2,4,1,3]=>[5,3,6,2,4,1]=>5 [5,6,2,4,3,1]=>[5,4,6,2,3,1]=>5 [5,6,3,1,2,4]=>[5,2,6,4,3,1]=>5 [5,6,3,1,4,2]=>[5,2,6,3,4,1]=>5 [5,6,3,2,1,4]=>[5,3,6,4,2,1]=>5 [5,6,3,2,4,1]=>[5,4,6,3,1,2]=>5 [5,6,3,4,1,2]=>[5,3,6,2,1,4]=>5 [5,6,3,4,2,1]=>[5,4,6,2,1,3]=>5 [5,6,4,1,2,3]=>[5,2,6,1,4,3]=>5 [5,6,4,1,3,2]=>[5,2,6,1,3,4]=>5 [5,6,4,2,1,3]=>[5,3,6,1,4,2]=>5 [5,6,4,2,3,1]=>[5,4,6,1,3,2]=>5 [5,6,4,3,1,2]=>[5,3,6,1,2,4]=>5 [5,6,4,3,2,1]=>[5,4,6,1,2,3]=>5 [6,1,2,3,4,5]=>[6,1,5,2,3,4]=>6 [6,1,2,3,5,4]=>[6,1,4,2,3,5]=>6 [6,1,2,4,3,5]=>[6,1,5,2,4,3]=>6 [6,1,2,4,5,3]=>[6,1,4,2,5,3]=>6 [6,1,2,5,3,4]=>[6,1,3,2,4,5]=>6 [6,1,2,5,4,3]=>[6,1,3,2,5,4]=>6 [6,1,3,2,4,5]=>[6,1,5,3,2,4]=>6 [6,1,3,2,5,4]=>[6,1,4,3,2,5]=>6 [6,1,3,4,2,5]=>[6,1,5,4,2,3]=>6 [6,1,3,4,5,2]=>[6,1,4,5,3,2]=>6 [6,1,3,5,2,4]=>[6,1,3,4,5,2]=>6 [6,1,3,5,4,2]=>[6,1,3,5,4,2]=>6 [6,1,4,2,3,5]=>[6,1,5,3,4,2]=>6 [6,1,4,2,5,3]=>[6,1,4,3,5,2]=>6 [6,1,4,3,2,5]=>[6,1,5,4,3,2]=>6 [6,1,4,3,5,2]=>[6,1,4,5,2,3]=>6 [6,1,4,5,2,3]=>[6,1,3,4,2,5]=>6 [6,1,4,5,3,2]=>[6,1,3,5,2,4]=>6 [6,1,5,2,3,4]=>[6,1,2,3,5,4]=>6 [6,1,5,2,4,3]=>[6,1,2,3,4,5]=>6 [6,1,5,3,2,4]=>[6,1,2,4,5,3]=>6 [6,1,5,3,4,2]=>[6,1,2,5,4,3]=>6 [6,1,5,4,2,3]=>[6,1,2,4,3,5]=>6 [6,1,5,4,3,2]=>[6,1,2,5,3,4]=>6 [6,2,1,3,4,5]=>[6,2,5,1,3,4]=>6 [6,2,1,3,5,4]=>[6,2,4,1,3,5]=>6 [6,2,1,4,3,5]=>[6,2,5,1,4,3]=>6 [6,2,1,4,5,3]=>[6,2,4,1,5,3]=>6 [6,2,1,5,3,4]=>[6,2,3,1,4,5]=>6 [6,2,1,5,4,3]=>[6,2,3,1,5,4]=>6 [6,2,3,1,4,5]=>[6,3,5,1,2,4]=>6 [6,2,3,1,5,4]=>[6,3,4,1,2,5]=>6 [6,2,3,4,1,5]=>[6,4,5,1,2,3]=>6 [6,2,3,4,5,1]=>[6,5,4,3,2,1]=>6 [6,2,3,5,1,4]=>[6,4,3,5,1,2]=>6 [6,2,3,5,4,1]=>[6,5,3,4,2,1]=>6 [6,2,4,1,3,5]=>[6,3,5,1,4,2]=>6 [6,2,4,1,5,3]=>[6,3,4,1,5,2]=>6 [6,2,4,3,1,5]=>[6,4,5,1,3,2]=>6 [6,2,4,3,5,1]=>[6,5,4,2,3,1]=>6 [6,2,4,5,1,3]=>[6,4,3,2,5,1]=>6 [6,2,4,5,3,1]=>[6,5,3,2,4,1]=>6 [6,2,5,1,3,4]=>[6,3,2,5,1,4]=>6 [6,2,5,1,4,3]=>[6,3,2,4,1,5]=>6 [6,2,5,3,1,4]=>[6,4,2,5,1,3]=>6 [6,2,5,3,4,1]=>[6,5,2,4,3,1]=>6 [6,2,5,4,1,3]=>[6,4,2,3,5,1]=>6 [6,2,5,4,3,1]=>[6,5,2,3,4,1]=>6 [6,3,1,2,4,5]=>[6,2,5,3,1,4]=>6 [6,3,1,2,5,4]=>[6,2,4,3,1,5]=>6 [6,3,1,4,2,5]=>[6,2,5,4,1,3]=>6 [6,3,1,4,5,2]=>[6,2,4,5,3,1]=>6 [6,3,1,5,2,4]=>[6,2,3,4,5,1]=>6 [6,3,1,5,4,2]=>[6,2,3,5,4,1]=>6 [6,3,2,1,4,5]=>[6,3,5,2,1,4]=>6 [6,3,2,1,5,4]=>[6,3,4,2,1,5]=>6 [6,3,2,4,1,5]=>[6,4,5,2,1,3]=>6 [6,3,2,4,5,1]=>[6,5,4,3,1,2]=>6 [6,3,2,5,1,4]=>[6,4,3,5,2,1]=>6 [6,3,2,5,4,1]=>[6,5,3,4,1,2]=>6 [6,3,4,1,2,5]=>[6,3,5,4,1,2]=>6 [6,3,4,1,5,2]=>[6,3,4,5,2,1]=>6 [6,3,4,2,1,5]=>[6,4,5,3,1,2]=>6 [6,3,4,2,5,1]=>[6,5,4,2,1,3]=>6 [6,3,4,5,1,2]=>[6,4,3,2,1,5]=>6 [6,3,4,5,2,1]=>[6,5,3,2,1,4]=>6 [6,3,5,1,2,4]=>[6,3,2,5,4,1]=>6 [6,3,5,1,4,2]=>[6,3,2,4,5,1]=>6 [6,3,5,2,1,4]=>[6,4,2,5,3,1]=>6 [6,3,5,2,4,1]=>[6,5,2,4,1,3]=>6 [6,3,5,4,1,2]=>[6,4,2,3,1,5]=>6 [6,3,5,4,2,1]=>[6,5,2,3,1,4]=>6 [6,4,1,2,3,5]=>[6,2,5,3,4,1]=>6 [6,4,1,2,5,3]=>[6,2,4,3,5,1]=>6 [6,4,1,3,2,5]=>[6,2,5,4,3,1]=>6 [6,4,1,3,5,2]=>[6,2,4,5,1,3]=>6 [6,4,1,5,2,3]=>[6,2,3,4,1,5]=>6 [6,4,1,5,3,2]=>[6,2,3,5,1,4]=>6 [6,4,2,1,3,5]=>[6,3,5,2,4,1]=>6 [6,4,2,1,5,3]=>[6,3,4,2,5,1]=>6 [6,4,2,3,1,5]=>[6,4,5,2,3,1]=>6 [6,4,2,3,5,1]=>[6,5,4,1,3,2]=>6 [6,4,2,5,1,3]=>[6,4,3,1,5,2]=>6 [6,4,2,5,3,1]=>[6,5,3,1,4,2]=>6 [6,4,3,1,2,5]=>[6,3,5,4,2,1]=>6 [6,4,3,1,5,2]=>[6,3,4,5,1,2]=>6 [6,4,3,2,1,5]=>[6,4,5,3,2,1]=>6 [6,4,3,2,5,1]=>[6,5,4,1,2,3]=>6 [6,4,3,5,1,2]=>[6,4,3,1,2,5]=>6 [6,4,3,5,2,1]=>[6,5,3,1,2,4]=>6 [6,4,5,1,2,3]=>[6,3,2,1,5,4]=>6 [6,4,5,1,3,2]=>[6,3,2,1,4,5]=>6 [6,4,5,2,1,3]=>[6,4,2,1,5,3]=>6 [6,4,5,2,3,1]=>[6,5,2,1,4,3]=>6 [6,4,5,3,1,2]=>[6,4,2,1,3,5]=>6 [6,4,5,3,2,1]=>[6,5,2,1,3,4]=>6 [6,5,1,2,3,4]=>[6,2,1,5,3,4]=>6 [6,5,1,2,4,3]=>[6,2,1,4,3,5]=>6 [6,5,1,3,2,4]=>[6,2,1,5,4,3]=>6 [6,5,1,3,4,2]=>[6,2,1,4,5,3]=>6 [6,5,1,4,2,3]=>[6,2,1,3,4,5]=>6 [6,5,1,4,3,2]=>[6,2,1,3,5,4]=>6 [6,5,2,1,3,4]=>[6,3,1,5,2,4]=>6 [6,5,2,1,4,3]=>[6,3,1,4,2,5]=>6 [6,5,2,3,1,4]=>[6,4,1,5,2,3]=>6 [6,5,2,3,4,1]=>[6,5,1,4,3,2]=>6 [6,5,2,4,1,3]=>[6,4,1,3,5,2]=>6 [6,5,2,4,3,1]=>[6,5,1,3,4,2]=>6 [6,5,3,1,2,4]=>[6,3,1,5,4,2]=>6 [6,5,3,1,4,2]=>[6,3,1,4,5,2]=>6 [6,5,3,2,1,4]=>[6,4,1,5,3,2]=>6 [6,5,3,2,4,1]=>[6,5,1,4,2,3]=>6 [6,5,3,4,1,2]=>[6,4,1,3,2,5]=>6 [6,5,3,4,2,1]=>[6,5,1,3,2,4]=>6 [6,5,4,1,2,3]=>[6,3,1,2,5,4]=>6 [6,5,4,1,3,2]=>[6,3,1,2,4,5]=>6 [6,5,4,2,1,3]=>[6,4,1,2,5,3]=>6 [6,5,4,2,3,1]=>[6,5,1,2,4,3]=>6 [6,5,4,3,1,2]=>[6,4,1,2,3,5]=>6 [6,5,4,3,2,1]=>[6,5,1,2,3,4]=>6 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1 [1,2,3,4,5,7,6]=>[2,3,4,5,6,7,1]=>2 [1,2,3,4,6,5,7]=>[1,2,3,4,5,7,6]=>1 [1,2,3,4,6,7,5]=>[2,3,4,5,6,1,7]=>2 [1,2,3,4,7,5,6]=>[3,4,5,6,7,1,2]=>3 [1,2,3,5,4,6,7]=>[1,2,3,4,6,5,7]=>1 [1,2,3,5,6,7,4]=>[2,3,4,5,1,7,6]=>2 [1,2,3,6,4,7,5]=>[2,3,4,5,7,1,6]=>2 [1,2,3,6,5,7,4]=>[2,3,4,5,1,6,7]=>2 [1,2,3,6,7,5,4]=>[3,4,5,6,2,7,1]=>3 [1,2,4,6,3,5,7]=>[1,2,3,6,4,7,5]=>1 [1,2,4,7,5,6,3]=>[4,5,6,3,2,1,7]=>4 [1,2,5,3,6,7,4]=>[2,3,4,6,1,7,5]=>2 [1,2,5,7,3,6,4]=>[4,5,6,1,2,3,7]=>4 [1,2,6,3,4,7,5]=>[2,3,4,6,7,1,5]=>2 [1,2,6,4,5,7,3]=>[2,3,4,1,5,7,6]=>2 [1,2,6,5,3,7,4]=>[2,3,4,7,1,5,6]=>2 [1,2,6,5,4,7,3]=>[2,3,4,1,5,6,7]=>2 [1,2,6,5,7,4,3]=>[3,4,5,2,6,7,1]=>3 [1,2,7,3,6,4,5]=>[5,6,7,1,2,3,4]=>5 [1,3,4,5,7,2,6]=>[3,4,1,2,5,6,7]=>3 [1,3,4,6,2,5,7]=>[1,2,6,3,4,7,5]=>1 [1,3,4,7,5,2,6]=>[4,5,2,3,6,7,1]=>4 [1,3,7,4,5,6,2]=>[5,6,4,3,2,1,7]=>5 [1,4,7,2,6,3,5]=>[5,6,1,2,3,4,7]=>5 [1,5,7,2,6,3,4]=>[5,6,1,2,3,7,4]=>5 [1,5,7,3,4,2,6]=>[5,6,3,4,1,2,7]=>5 [1,6,2,3,4,7,5]=>[2,3,5,6,7,1,4]=>2 [1,6,3,7,4,5,2]=>[4,5,3,6,2,1,7]=>4 [1,6,4,7,2,5,3]=>[4,5,1,6,2,3,7]=>4 [1,6,5,4,3,7,2]=>[2,3,1,4,5,6,7]=>2 [1,6,5,4,7,3,2]=>[3,4,2,5,6,7,1]=>3 [1,7,2,6,3,5,4]=>[6,7,1,2,3,4,5]=>6 [1,7,3,4,2,6,5]=>[6,7,3,4,1,2,5]=>6 [1,7,3,4,5,2,6]=>[6,7,4,5,1,2,3]=>6 [2,1,3,4,5,6,7]=>[1,3,2,4,5,6,7]=>1 [2,1,4,7,5,6,3]=>[4,6,5,3,2,1,7]=>4 [2,3,4,1,6,5,7]=>[1,5,2,3,4,7,6]=>1 [2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>1 [2,3,4,5,6,7,1]=>[2,1,7,6,5,4,3]=>2 [2,3,4,5,7,1,6]=>[3,1,2,4,5,6,7]=>3 [2,3,4,6,1,5,7]=>[1,6,2,3,4,7,5]=>1 [2,3,4,7,5,1,6]=>[4,2,3,5,6,7,1]=>4 [2,3,5,4,7,1,6]=>[3,1,2,4,5,7,6]=>3 [2,3,5,6,1,4,7]=>[1,6,2,3,7,4,5]=>1 [2,3,7,4,5,6,1]=>[5,4,3,2,1,7,6]=>5 [2,3,7,4,6,1,5]=>[5,3,2,4,6,7,1]=>5 [2,4,5,1,6,3,7]=>[1,5,2,7,3,4,6]=>1 [2,4,5,6,1,3,7]=>[1,6,2,7,3,4,5]=>1 [2,4,7,1,6,3,5]=>[5,1,2,6,3,4,7]=>5 [2,7,1,6,3,5,4]=>[6,1,2,7,3,4,5]=>6 [2,7,3,4,1,6,5]=>[6,3,4,7,1,2,5]=>6 [2,7,3,4,5,1,6]=>[6,4,5,7,1,2,3]=>6 [2,7,3,4,5,6,1]=>[6,5,4,3,2,1,7]=>6 [2,7,3,4,6,5,1]=>[6,5,3,4,2,1,7]=>6 [3,1,2,5,7,6,4]=>[3,5,6,4,2,1,7]=>3 [3,1,4,5,6,2,7]=>[1,3,7,2,4,5,6]=>1 [3,2,1,5,7,6,4]=>[3,6,5,4,2,1,7]=>3 [3,2,7,4,5,6,1]=>[5,4,3,2,1,6,7]=>5 [3,4,1,5,6,2,7]=>[1,4,7,2,3,5,6]=>1 [3,4,1,5,7,2,6]=>[3,6,1,2,4,5,7]=>3 [3,4,5,1,6,2,7]=>[1,5,7,2,3,4,6]=>1 [3,4,5,6,1,2,7]=>[1,6,7,2,3,4,5]=>1 [3,4,7,1,6,2,5]=>[5,1,2,3,4,6,7]=>5 [3,5,6,1,2,4,7]=>[1,5,6,2,7,3,4]=>1 [3,5,7,1,6,2,4]=>[5,1,2,3,7,4,6]=>5 [3,7,1,6,2,5,4]=>[6,1,2,3,4,7,5]=>6 [3,7,2,5,6,1,4]=>[6,4,3,2,5,1,7]=>6 [3,7,4,1,5,6,2]=>[6,2,4,5,3,1,7]=>6 [3,7,4,1,6,2,5]=>[6,2,3,4,5,7,1]=>6 [3,7,4,5,1,6,2]=>[6,3,4,5,2,1,7]=>6 [4,1,2,5,7,3,6]=>[3,5,6,1,2,4,7]=>3 [4,1,5,7,2,6,3]=>[4,6,1,2,3,7,5]=>4 [4,2,7,3,5,6,1]=>[5,4,3,2,6,1,7]=>5 [4,3,2,1,6,7,5]=>[2,6,5,4,3,1,7]=>2 [4,3,2,7,5,6,1]=>[4,3,2,1,5,6,7]=>4 [4,3,7,1,6,2,5]=>[5,1,2,3,4,7,6]=>5 [4,5,1,6,2,3,7]=>[1,4,6,7,2,3,5]=>1 [4,5,6,1,2,3,7]=>[1,5,6,7,2,3,4]=>1 [4,6,3,7,1,5,2]=>[4,1,6,2,3,5,7]=>4 [4,7,1,6,2,5,3]=>[6,1,2,3,4,5,7]=>6 [4,7,3,2,6,1,5]=>[6,4,3,5,2,1,7]=>6 [4,7,3,5,6,1,2]=>[6,4,3,2,7,1,5]=>6 [4,7,3,6,1,2,5]=>[6,3,2,5,4,1,7]=>6 [4,7,5,2,1,6,3]=>[6,3,4,2,5,1,7]=>6 [5,1,4,7,2,6,3]=>[4,6,1,2,3,5,7]=>4 [5,2,7,3,4,6,1]=>[5,4,3,6,2,1,7]=>5 [5,2,7,4,6,1,3]=>[5,3,2,6,1,4,7]=>5 [5,3,4,7,1,6,2]=>[4,1,2,3,5,7,6]=>4 [5,3,7,1,6,2,4]=>[5,1,2,3,6,4,7]=>5 [5,4,3,1,6,7,2]=>[2,6,1,7,3,4,5]=>2 [5,4,3,2,6,7,1]=>[2,1,7,3,4,5,6]=>2 [5,4,3,2,7,6,1]=>[3,2,1,4,5,6,7]=>3 [5,4,3,6,2,7,1]=>[2,1,6,3,4,5,7]=>2 [5,4,3,7,1,6,2]=>[4,1,2,3,5,6,7]=>4 [5,4,3,7,2,6,1]=>[4,3,2,5,6,7,1]=>4 [5,4,7,1,6,2,3]=>[5,1,2,3,6,7,4]=>5 [5,4,7,3,1,6,2]=>[5,2,3,4,6,7,1]=>5 [5,6,2,7,3,4,1]=>[4,3,6,5,2,1,7]=>4 [5,7,1,6,2,4,3]=>[6,1,2,3,7,4,5]=>6 [5,7,4,1,3,2,6]=>[6,2,5,4,3,1,7]=>6 [5,7,4,3,1,2,6]=>[6,3,5,4,2,1,7]=>6 [6,1,5,4,3,2,7]=>[1,3,7,6,5,4,2]=>1 [6,1,5,4,3,7,2]=>[2,4,1,3,5,6,7]=>2 [6,2,3,7,5,1,4]=>[4,2,5,1,3,6,7]=>4 [6,2,5,3,4,1,7]=>[1,7,3,5,6,4,2]=>1 [6,2,5,4,3,1,7]=>[1,7,3,6,5,4,2]=>1 [6,2,7,3,4,5,1]=>[5,4,6,3,2,1,7]=>5 [6,3,2,5,4,1,7]=>[1,7,4,3,6,5,2]=>1 [6,3,7,1,5,2,4]=>[5,1,6,2,3,4,7]=>5 [6,4,2,3,5,1,7]=>[1,7,4,5,3,6,2]=>1 [6,4,3,2,1,5,7]=>[1,6,5,4,3,7,2]=>1 [6,4,3,2,5,1,7]=>[1,7,5,4,3,6,2]=>1 [6,4,3,2,5,7,1]=>[2,1,3,7,4,5,6]=>2 [6,4,3,7,2,5,1]=>[4,3,5,2,6,7,1]=>4 [6,4,7,1,5,2,3]=>[5,1,6,2,3,7,4]=>5 [6,5,1,4,2,3,7]=>[1,4,6,7,5,3,2]=>1 [6,5,1,4,2,7,3]=>[2,5,7,1,3,4,6]=>2 [6,5,1,4,3,2,7]=>[1,4,7,6,5,3,2]=>1 [6,5,1,4,3,7,2]=>[2,5,1,3,4,6,7]=>2 [6,5,2,1,4,3,7]=>[1,5,4,7,6,3,2]=>1 [6,5,2,3,4,1,7]=>[1,7,4,5,6,3,2]=>1 [6,5,2,4,3,1,7]=>[1,7,4,6,5,3,2]=>1 [6,5,3,1,2,4,7]=>[1,5,6,4,7,3,2]=>1 [6,5,3,2,1,4,7]=>[1,6,5,4,7,3,2]=>1 [6,5,3,2,4,1,7]=>[1,7,5,4,6,3,2]=>1 [6,5,3,2,4,7,1]=>[2,1,3,4,7,5,6]=>2 [6,5,3,4,2,1,7]=>[1,7,6,4,5,3,2]=>1 [6,5,4,1,2,3,7]=>[1,5,6,7,4,3,2]=>1 [6,5,4,1,2,7,3]=>[2,6,7,1,3,4,5]=>2 [6,5,4,1,3,2,7]=>[1,5,7,6,4,3,2]=>1 [6,5,4,1,3,7,2]=>[2,6,1,3,4,5,7]=>2 [6,5,4,2,1,3,7]=>[1,6,5,7,4,3,2]=>1 [6,5,4,3,1,2,7]=>[1,6,7,5,4,3,2]=>1 [6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>2 [6,5,4,3,2,1,7]=>[1,7,6,5,4,3,2]=>1 [6,5,4,3,2,7,1]=>[2,1,3,4,5,6,7]=>2 [6,5,4,3,7,2,1]=>[3,2,4,5,6,7,1]=>3 [6,5,7,4,1,3,2]=>[5,2,6,7,1,3,4]=>5 [6,5,7,4,3,1,2]=>[5,3,6,7,1,2,4]=>5 [6,5,7,4,3,2,1]=>[5,4,6,7,1,2,3]=>5 [6,7,2,3,5,1,4]=>[6,4,7,3,5,1,2]=>6 [6,7,2,5,3,1,4]=>[6,4,7,2,5,1,3]=>6 [6,7,3,2,5,4,1]=>[6,5,7,3,4,1,2]=>6 [7,1,6,2,5,3,4]=>[7,1,2,3,4,5,6]=>7 [7,2,1,6,3,5,4]=>[7,2,3,1,4,5,6]=>7 [7,2,3,1,6,4,5]=>[7,3,4,1,2,5,6]=>7 [7,2,3,4,5,1,6]=>[7,5,6,1,2,3,4]=>7 [7,2,3,4,5,6,1]=>[7,6,5,4,3,2,1]=>7 [7,2,6,1,5,3,4]=>[7,3,2,4,1,5,6]=>7 [7,3,1,6,2,5,4]=>[7,2,3,4,5,1,6]=>7 [7,3,2,4,5,6,1]=>[7,6,5,4,3,1,2]=>7 [7,3,2,5,4,6,1]=>[7,6,5,3,4,1,2]=>7 [7,4,3,2,5,6,1]=>[7,6,5,4,1,2,3]=>7 [7,4,3,2,6,5,1]=>[7,6,4,5,1,2,3]=>7 [7,4,5,2,3,1,6]=>[7,5,6,3,4,1,2]=>7 [7,5,1,6,2,4,3]=>[7,2,3,4,1,5,6]=>7 [7,5,4,3,1,6,2]=>[7,4,5,6,1,2,3]=>7 [7,5,4,3,2,6,1]=>[7,6,5,1,2,3,4]=>7 [7,5,6,1,4,2,3]=>[7,3,2,1,4,5,6]=>7 [7,5,6,4,1,3,2]=>[7,4,2,1,3,5,6]=>7 [7,6,1,5,2,4,3]=>[7,2,1,3,4,5,6]=>7 [7,6,5,1,4,2,3]=>[7,3,1,2,4,5,6]=>7 [7,6,5,4,1,3,2]=>[7,4,1,2,3,5,6]=>7 [7,6,5,4,3,1,2]=>[7,5,1,2,3,4,6]=>7 [7,6,5,4,3,2,1]=>[7,6,1,2,3,4,5]=>7 [8,7,6,5,4,3,2,1]=>[8,7,1,2,3,4,5,6]=>8 [2,3,4,5,6,7,8,1]=>[2,1,8,7,6,5,4,3]=>2 [8,4,3,5,6,7,1,2]=>[8,6,5,4,3,1,2,7]=>8 [5,6,7,8,3,2,1,4]=>[5,3,8,7,6,4,2,1]=>5 [8,6,4,3,2,1,5,7]=>[8,5,7,4,3,2,6,1]=>8 [7,6,5,4,3,2,1,8]=>[1,8,7,6,5,4,3,2]=>1 [1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1 [3,2,6,5,7,4,8,1]=>[2,1,7,5,6,8,3,4]=>2 [3,4,2,1,7,8,6,5]=>[3,7,6,4,5,2,8,1]=>3 [1,2,4,3,6,5,7,8]=>[1,2,3,5,4,7,6,8]=>1 [2,3,4,8,5,6,7,1]=>[5,4,3,2,1,8,7,6]=>5 [8,3,2,5,4,7,6,1]=>[8,7,5,6,3,4,1,2]=>8 [8,5,4,3,2,7,6,1]=>[8,7,5,6,1,2,3,4]=>8 [5,1,6,2,3,8,4,7]=>[3,5,7,8,1,2,4,6]=>3 [5,6,1,2,3,8,4,7]=>[3,6,7,8,1,2,4,5]=>3 [1,5,6,2,3,8,4,7]=>[3,4,7,8,1,2,5,6]=>3 [7,3,2,5,4,8,1,6]=>[3,1,4,2,6,5,8,7]=>3 [5,7,2,4,8,1,3,6]=>[4,1,6,3,7,2,8,5]=>4 [3,6,1,5,2,4,8,7]=>[2,5,7,3,8,6,4,1]=>2 [4,7,5,1,2,8,3,6]=>[3,7,8,1,5,2,4,6]=>3 [8,1,3,2,5,4,7,6]=>[8,1,6,3,2,5,4,7]=>8 [7,4,5,3,8,2,1,6]=>[4,2,5,3,1,8,6,7]=>4 [7,4,5,3,8,2,6,1]=>[4,3,5,2,7,6,8,1]=>4 [6,7,2,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>4 [7,5,3,8,2,4,6,1]=>[5,4,6,3,7,2,8,1]=>5 [3,6,2,7,1,8,5,4]=>[3,8,6,4,2,7,5,1]=>3 [4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>2 [8,1,5,6,4,3,2,7]=>[8,1,7,6,5,4,2,3]=>8 [3,1,4,8,5,6,7,2]=>[5,7,4,3,2,1,8,6]=>5 [7,3,1,6,8,4,2,5]=>[4,7,2,5,8,3,6,1]=>4 [1,8,7,6,2,3,4,5]=>[7,8,3,1,2,6,4,5]=>7 [8,3,7,5,2,1,4,6]=>[8,5,2,7,4,1,6,3]=>8 [3,1,4,6,5,2,8,7]=>[2,4,8,3,5,7,6,1]=>2 [3,4,8,6,5,7,1,2]=>[6,4,3,1,2,8,7,5]=>6 [6,7,2,3,4,8,5,1]=>[3,2,5,4,1,8,7,6]=>3
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Description
The first entry of the permutation.
This can be described as 1 plus the number of occurrences of the vincular pattern ([2,1], {(0,0),(0,1),(0,2)}), i.e., the first column is shaded, see [1].
This statistic is related to the number of deficiencies St000703The number of deficiencies of a permutation. as follows: consider the arc diagram of a permutation $\pi$ of $n$, together with its rotations, obtained by conjugating with the long cycle $(1,\dots,n)$. Drawing the labels $1$ to $n$ in this order on a circle, and the arcs $(i, \pi(i))$ as straight lines, the rotation of $\pi$ is obtained by replacing each number $i$ by $(i\bmod n) +1$. Then, $\pi(1)-1$ is the number of rotations of $\pi$ where the arc $(1, \pi(1))$ is a deficiency. In particular, if $O(\pi)$ is the orbit of rotations of $\pi$, then the number of deficiencies of $\pi$ equals
$$ \frac{1}{|O(\pi)|}\sum_{\sigma\in O(\pi)} (\sigma(1)-1). $$
Map
ones to leading
Description
The unique permutation obtained by applying the Foata-Riordan map to obtain a Prüfer code, then prepending zero and cyclically shifting.
Let $c_1,\dots, c_{n-1}$ be the Prüfer code obtained via the Foata-Riordan map described in [1, eq (1.2)] and let $c_0 = 0$.
This map returns the a unique permutation $q_1,\dots, q_n$ such that $q_i - c_{i-1}$ is constant modulo $n+1$.
This map is Mp00299ones to leading restricted to permutations.