Identifier
Values
=>
[1]=>[1]=>0 [1,2]=>[1,2]=>0 [2,1]=>[2,1]=>1 [1,2,3]=>[1,2,3]=>0 [1,3,2]=>[1,3,2]=>1 [2,1,3]=>[2,1,3]=>1 [2,3,1]=>[3,2,1]=>2 [3,1,2]=>[3,2,1]=>2 [3,2,1]=>[3,2,1]=>2 [1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,3]=>[1,2,4,3]=>1 [1,3,2,4]=>[1,3,2,4]=>1 [1,3,4,2]=>[1,4,3,2]=>2 [1,4,2,3]=>[1,4,3,2]=>2 [1,4,3,2]=>[1,4,3,2]=>2 [2,1,3,4]=>[2,1,3,4]=>1 [2,1,4,3]=>[2,1,4,3]=>2 [2,3,1,4]=>[3,2,1,4]=>2 [2,3,4,1]=>[4,2,3,1]=>2 [2,4,1,3]=>[3,4,1,2]=>1 [2,4,3,1]=>[4,3,2,1]=>3 [3,1,2,4]=>[3,2,1,4]=>2 [3,1,4,2]=>[4,2,3,1]=>2 [3,2,1,4]=>[3,2,1,4]=>2 [3,2,4,1]=>[4,2,3,1]=>2 [3,4,1,2]=>[4,3,2,1]=>3 [3,4,2,1]=>[4,3,2,1]=>3 [4,1,2,3]=>[4,2,3,1]=>2 [4,1,3,2]=>[4,2,3,1]=>2 [4,2,1,3]=>[4,3,2,1]=>3 [4,2,3,1]=>[4,3,2,1]=>3 [4,3,1,2]=>[4,3,2,1]=>3 [4,3,2,1]=>[4,3,2,1]=>3 [1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,4]=>[1,2,3,5,4]=>1 [1,2,4,3,5]=>[1,2,4,3,5]=>1 [1,2,4,5,3]=>[1,2,5,4,3]=>2 [1,2,5,3,4]=>[1,2,5,4,3]=>2 [1,2,5,4,3]=>[1,2,5,4,3]=>2 [1,3,2,4,5]=>[1,3,2,4,5]=>1 [1,3,2,5,4]=>[1,3,2,5,4]=>2 [1,3,4,2,5]=>[1,4,3,2,5]=>2 [1,3,4,5,2]=>[1,5,3,4,2]=>2 [1,3,5,2,4]=>[1,4,5,2,3]=>1 [1,3,5,4,2]=>[1,5,4,3,2]=>3 [1,4,2,3,5]=>[1,4,3,2,5]=>2 [1,4,2,5,3]=>[1,5,3,4,2]=>2 [1,4,3,2,5]=>[1,4,3,2,5]=>2 [1,4,3,5,2]=>[1,5,3,4,2]=>2 [1,4,5,2,3]=>[1,5,4,3,2]=>3 [1,4,5,3,2]=>[1,5,4,3,2]=>3 [1,5,2,3,4]=>[1,5,3,4,2]=>2 [1,5,2,4,3]=>[1,5,3,4,2]=>2 [1,5,3,2,4]=>[1,5,4,3,2]=>3 [1,5,3,4,2]=>[1,5,4,3,2]=>3 [1,5,4,2,3]=>[1,5,4,3,2]=>3 [1,5,4,3,2]=>[1,5,4,3,2]=>3 [2,1,3,4,5]=>[2,1,3,4,5]=>1 [2,1,3,5,4]=>[2,1,3,5,4]=>2 [2,1,4,3,5]=>[2,1,4,3,5]=>2 [2,1,4,5,3]=>[2,1,5,4,3]=>3 [2,1,5,3,4]=>[2,1,5,4,3]=>3 [2,1,5,4,3]=>[2,1,5,4,3]=>3 [2,3,1,4,5]=>[3,2,1,4,5]=>2 [2,3,1,5,4]=>[3,2,1,5,4]=>3 [2,3,4,1,5]=>[4,2,3,1,5]=>2 [2,3,4,5,1]=>[5,2,3,4,1]=>2 [2,3,5,1,4]=>[4,2,5,1,3]=>2 [2,3,5,4,1]=>[5,2,4,3,1]=>3 [2,4,1,3,5]=>[3,4,1,2,5]=>1 [2,4,1,5,3]=>[3,5,1,4,2]=>2 [2,4,3,1,5]=>[4,3,2,1,5]=>3 [2,4,3,5,1]=>[5,3,2,4,1]=>3 [2,4,5,1,3]=>[4,5,3,1,2]=>2 [2,4,5,3,1]=>[5,4,3,2,1]=>4 [2,5,1,3,4]=>[3,5,1,4,2]=>2 [2,5,1,4,3]=>[3,5,1,4,2]=>2 [2,5,3,1,4]=>[4,5,3,1,2]=>2 [2,5,3,4,1]=>[5,4,3,2,1]=>4 [2,5,4,1,3]=>[4,5,3,1,2]=>2 [2,5,4,3,1]=>[5,4,3,2,1]=>4 [3,1,2,4,5]=>[3,2,1,4,5]=>2 [3,1,2,5,4]=>[3,2,1,5,4]=>3 [3,1,4,2,5]=>[4,2,3,1,5]=>2 [3,1,4,5,2]=>[5,2,3,4,1]=>2 [3,1,5,2,4]=>[4,2,5,1,3]=>2 [3,1,5,4,2]=>[5,2,4,3,1]=>3 [3,2,1,4,5]=>[3,2,1,4,5]=>2 [3,2,1,5,4]=>[3,2,1,5,4]=>3 [3,2,4,1,5]=>[4,2,3,1,5]=>2 [3,2,4,5,1]=>[5,2,3,4,1]=>2 [3,2,5,1,4]=>[4,2,5,1,3]=>2 [3,2,5,4,1]=>[5,2,4,3,1]=>3 [3,4,1,2,5]=>[4,3,2,1,5]=>3 [3,4,1,5,2]=>[5,3,2,4,1]=>3 [3,4,2,1,5]=>[4,3,2,1,5]=>3 [3,4,2,5,1]=>[5,3,2,4,1]=>3 [3,4,5,1,2]=>[5,4,3,2,1]=>4 [3,4,5,2,1]=>[5,4,3,2,1]=>4 [3,5,1,2,4]=>[4,5,3,1,2]=>2 [3,5,1,4,2]=>[5,4,3,2,1]=>4 [3,5,2,1,4]=>[4,5,3,1,2]=>2 [3,5,2,4,1]=>[5,4,3,2,1]=>4 [3,5,4,1,2]=>[5,4,3,2,1]=>4 [3,5,4,2,1]=>[5,4,3,2,1]=>4 [4,1,2,3,5]=>[4,2,3,1,5]=>2 [4,1,2,5,3]=>[5,2,3,4,1]=>2 [4,1,3,2,5]=>[4,2,3,1,5]=>2 [4,1,3,5,2]=>[5,2,3,4,1]=>2 [4,1,5,2,3]=>[5,2,4,3,1]=>3 [4,1,5,3,2]=>[5,2,4,3,1]=>3 [4,2,1,3,5]=>[4,3,2,1,5]=>3 [4,2,1,5,3]=>[5,3,2,4,1]=>3 [4,2,3,1,5]=>[4,3,2,1,5]=>3 [4,2,3,5,1]=>[5,3,2,4,1]=>3 [4,2,5,1,3]=>[5,4,3,2,1]=>4 [4,2,5,3,1]=>[5,4,3,2,1]=>4 [4,3,1,2,5]=>[4,3,2,1,5]=>3 [4,3,1,5,2]=>[5,3,2,4,1]=>3 [4,3,2,1,5]=>[4,3,2,1,5]=>3 [4,3,2,5,1]=>[5,3,2,4,1]=>3 [4,3,5,1,2]=>[5,4,3,2,1]=>4 [4,3,5,2,1]=>[5,4,3,2,1]=>4 [4,5,1,2,3]=>[5,4,3,2,1]=>4 [4,5,1,3,2]=>[5,4,3,2,1]=>4 [4,5,2,1,3]=>[5,4,3,2,1]=>4 [4,5,2,3,1]=>[5,4,3,2,1]=>4 [4,5,3,1,2]=>[5,4,3,2,1]=>4 [4,5,3,2,1]=>[5,4,3,2,1]=>4 [5,1,2,3,4]=>[5,2,3,4,1]=>2 [5,1,2,4,3]=>[5,2,3,4,1]=>2 [5,1,3,2,4]=>[5,2,4,3,1]=>3 [5,1,3,4,2]=>[5,2,4,3,1]=>3 [5,1,4,2,3]=>[5,2,4,3,1]=>3 [5,1,4,3,2]=>[5,2,4,3,1]=>3 [5,2,1,3,4]=>[5,3,2,4,1]=>3 [5,2,1,4,3]=>[5,3,2,4,1]=>3 [5,2,3,1,4]=>[5,4,3,2,1]=>4 [5,2,3,4,1]=>[5,4,3,2,1]=>4 [5,2,4,1,3]=>[5,4,3,2,1]=>4 [5,2,4,3,1]=>[5,4,3,2,1]=>4 [5,3,1,2,4]=>[5,4,3,2,1]=>4 [5,3,1,4,2]=>[5,4,3,2,1]=>4 [5,3,2,1,4]=>[5,4,3,2,1]=>4 [5,3,2,4,1]=>[5,4,3,2,1]=>4 [5,3,4,1,2]=>[5,4,3,2,1]=>4 [5,3,4,2,1]=>[5,4,3,2,1]=>4 [5,4,1,2,3]=>[5,4,3,2,1]=>4 [5,4,1,3,2]=>[5,4,3,2,1]=>4 [5,4,2,1,3]=>[5,4,3,2,1]=>4 [5,4,2,3,1]=>[5,4,3,2,1]=>4 [5,4,3,1,2]=>[5,4,3,2,1]=>4 [5,4,3,2,1]=>[5,4,3,2,1]=>4 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>[1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>[1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>[1,2,3,6,5,4]=>2 [1,2,3,6,4,5]=>[1,2,3,6,5,4]=>2 [1,2,3,6,5,4]=>[1,2,3,6,5,4]=>2 [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>[1,2,4,3,6,5]=>2 [1,2,4,5,3,6]=>[1,2,5,4,3,6]=>2 [1,2,4,5,6,3]=>[1,2,6,4,5,3]=>2 [1,2,4,6,3,5]=>[1,2,5,6,3,4]=>1 [1,2,4,6,5,3]=>[1,2,6,5,4,3]=>3 [1,2,5,3,4,6]=>[1,2,5,4,3,6]=>2 [1,2,5,3,6,4]=>[1,2,6,4,5,3]=>2 [1,2,5,4,3,6]=>[1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>[1,2,6,4,5,3]=>2 [1,2,5,6,3,4]=>[1,2,6,5,4,3]=>3 [1,2,5,6,4,3]=>[1,2,6,5,4,3]=>3 [1,2,6,3,4,5]=>[1,2,6,4,5,3]=>2 [1,2,6,3,5,4]=>[1,2,6,4,5,3]=>2 [1,2,6,4,3,5]=>[1,2,6,5,4,3]=>3 [1,2,6,4,5,3]=>[1,2,6,5,4,3]=>3 [1,2,6,5,3,4]=>[1,2,6,5,4,3]=>3 [1,2,6,5,4,3]=>[1,2,6,5,4,3]=>3 [1,3,2,4,5,6]=>[1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>[1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>[1,3,2,6,5,4]=>3 [1,3,2,6,4,5]=>[1,3,2,6,5,4]=>3 [1,3,2,6,5,4]=>[1,3,2,6,5,4]=>3 [1,3,4,2,5,6]=>[1,4,3,2,5,6]=>2 [1,3,4,2,6,5]=>[1,4,3,2,6,5]=>3 [1,3,4,5,2,6]=>[1,5,3,4,2,6]=>2 [1,3,4,5,6,2]=>[1,6,3,4,5,2]=>2 [1,3,4,6,2,5]=>[1,5,3,6,2,4]=>2 [1,3,4,6,5,2]=>[1,6,3,5,4,2]=>3 [1,3,5,2,4,6]=>[1,4,5,2,3,6]=>1 [1,3,5,2,6,4]=>[1,4,6,2,5,3]=>2 [1,3,5,4,2,6]=>[1,5,4,3,2,6]=>3 [1,3,5,4,6,2]=>[1,6,4,3,5,2]=>3 [1,3,5,6,2,4]=>[1,5,6,4,2,3]=>2 [1,3,5,6,4,2]=>[1,6,5,4,3,2]=>4 [1,3,6,2,4,5]=>[1,4,6,2,5,3]=>2 [1,3,6,2,5,4]=>[1,4,6,2,5,3]=>2 [1,3,6,4,2,5]=>[1,5,6,4,2,3]=>2 [1,3,6,4,5,2]=>[1,6,5,4,3,2]=>4 [1,3,6,5,2,4]=>[1,5,6,4,2,3]=>2 [1,3,6,5,4,2]=>[1,6,5,4,3,2]=>4 [1,4,2,3,5,6]=>[1,4,3,2,5,6]=>2 [1,4,2,3,6,5]=>[1,4,3,2,6,5]=>3 [1,4,2,5,3,6]=>[1,5,3,4,2,6]=>2 [1,4,2,5,6,3]=>[1,6,3,4,5,2]=>2 [1,4,2,6,3,5]=>[1,5,3,6,2,4]=>2 [1,4,2,6,5,3]=>[1,6,3,5,4,2]=>3 [1,4,3,2,5,6]=>[1,4,3,2,5,6]=>2 [1,4,3,2,6,5]=>[1,4,3,2,6,5]=>3 [1,4,3,5,2,6]=>[1,5,3,4,2,6]=>2 [1,4,3,5,6,2]=>[1,6,3,4,5,2]=>2 [1,4,3,6,2,5]=>[1,5,3,6,2,4]=>2 [1,4,3,6,5,2]=>[1,6,3,5,4,2]=>3 [1,4,5,2,3,6]=>[1,5,4,3,2,6]=>3 [1,4,5,2,6,3]=>[1,6,4,3,5,2]=>3 [1,4,5,3,2,6]=>[1,5,4,3,2,6]=>3 [1,4,5,3,6,2]=>[1,6,4,3,5,2]=>3 [1,4,5,6,2,3]=>[1,6,5,4,3,2]=>4 [1,4,5,6,3,2]=>[1,6,5,4,3,2]=>4 [1,4,6,2,3,5]=>[1,5,6,4,2,3]=>2 [1,4,6,2,5,3]=>[1,6,5,4,3,2]=>4 [1,4,6,3,2,5]=>[1,5,6,4,2,3]=>2 [1,4,6,3,5,2]=>[1,6,5,4,3,2]=>4 [1,4,6,5,2,3]=>[1,6,5,4,3,2]=>4 [1,4,6,5,3,2]=>[1,6,5,4,3,2]=>4 [1,5,2,3,4,6]=>[1,5,3,4,2,6]=>2 [1,5,2,3,6,4]=>[1,6,3,4,5,2]=>2 [1,5,2,4,3,6]=>[1,5,3,4,2,6]=>2 [1,5,2,4,6,3]=>[1,6,3,4,5,2]=>2 [1,5,2,6,3,4]=>[1,6,3,5,4,2]=>3 [1,5,2,6,4,3]=>[1,6,3,5,4,2]=>3 [1,5,3,2,4,6]=>[1,5,4,3,2,6]=>3 [1,5,3,2,6,4]=>[1,6,4,3,5,2]=>3 [1,5,3,4,2,6]=>[1,5,4,3,2,6]=>3 [1,5,3,4,6,2]=>[1,6,4,3,5,2]=>3 [1,5,3,6,2,4]=>[1,6,5,4,3,2]=>4 [1,5,3,6,4,2]=>[1,6,5,4,3,2]=>4 [1,5,4,2,3,6]=>[1,5,4,3,2,6]=>3 [1,5,4,2,6,3]=>[1,6,4,3,5,2]=>3 [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>3 [1,5,4,3,6,2]=>[1,6,4,3,5,2]=>3 [1,5,4,6,2,3]=>[1,6,5,4,3,2]=>4 [1,5,4,6,3,2]=>[1,6,5,4,3,2]=>4 [1,5,6,2,3,4]=>[1,6,5,4,3,2]=>4 [1,5,6,2,4,3]=>[1,6,5,4,3,2]=>4 [1,5,6,3,2,4]=>[1,6,5,4,3,2]=>4 [1,5,6,3,4,2]=>[1,6,5,4,3,2]=>4 [1,5,6,4,2,3]=>[1,6,5,4,3,2]=>4 [1,5,6,4,3,2]=>[1,6,5,4,3,2]=>4 [1,6,2,3,4,5]=>[1,6,3,4,5,2]=>2 [1,6,2,3,5,4]=>[1,6,3,4,5,2]=>2 [1,6,2,4,3,5]=>[1,6,3,5,4,2]=>3 [1,6,2,4,5,3]=>[1,6,3,5,4,2]=>3 [1,6,2,5,3,4]=>[1,6,3,5,4,2]=>3 [1,6,2,5,4,3]=>[1,6,3,5,4,2]=>3 [1,6,3,2,4,5]=>[1,6,4,3,5,2]=>3 [1,6,3,2,5,4]=>[1,6,4,3,5,2]=>3 [1,6,3,4,2,5]=>[1,6,5,4,3,2]=>4 [1,6,3,4,5,2]=>[1,6,5,4,3,2]=>4 [1,6,3,5,2,4]=>[1,6,5,4,3,2]=>4 [1,6,3,5,4,2]=>[1,6,5,4,3,2]=>4 [1,6,4,2,3,5]=>[1,6,5,4,3,2]=>4 [1,6,4,2,5,3]=>[1,6,5,4,3,2]=>4 [1,6,4,3,2,5]=>[1,6,5,4,3,2]=>4 [1,6,4,3,5,2]=>[1,6,5,4,3,2]=>4 [1,6,4,5,2,3]=>[1,6,5,4,3,2]=>4 [1,6,4,5,3,2]=>[1,6,5,4,3,2]=>4 [1,6,5,2,3,4]=>[1,6,5,4,3,2]=>4 [1,6,5,2,4,3]=>[1,6,5,4,3,2]=>4 [1,6,5,3,2,4]=>[1,6,5,4,3,2]=>4 [1,6,5,3,4,2]=>[1,6,5,4,3,2]=>4 [1,6,5,4,2,3]=>[1,6,5,4,3,2]=>4 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>4 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1 [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>[2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>[2,1,3,6,5,4]=>3 [2,1,3,6,4,5]=>[2,1,3,6,5,4]=>3 [2,1,3,6,5,4]=>[2,1,3,6,5,4]=>3 [2,1,4,3,5,6]=>[2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>3 [2,1,4,5,3,6]=>[2,1,5,4,3,6]=>3 [2,1,4,5,6,3]=>[2,1,6,4,5,3]=>3 [2,1,4,6,3,5]=>[2,1,5,6,3,4]=>2 [2,1,4,6,5,3]=>[2,1,6,5,4,3]=>4 [2,1,5,3,4,6]=>[2,1,5,4,3,6]=>3 [2,1,5,3,6,4]=>[2,1,6,4,5,3]=>3 [2,1,5,4,3,6]=>[2,1,5,4,3,6]=>3 [2,1,5,4,6,3]=>[2,1,6,4,5,3]=>3 [2,1,5,6,3,4]=>[2,1,6,5,4,3]=>4 [2,1,5,6,4,3]=>[2,1,6,5,4,3]=>4 [2,1,6,3,4,5]=>[2,1,6,4,5,3]=>3 [2,1,6,3,5,4]=>[2,1,6,4,5,3]=>3 [2,1,6,4,3,5]=>[2,1,6,5,4,3]=>4 [2,1,6,4,5,3]=>[2,1,6,5,4,3]=>4 [2,1,6,5,3,4]=>[2,1,6,5,4,3]=>4 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>4 [2,3,1,4,5,6]=>[3,2,1,4,5,6]=>2 [2,3,1,4,6,5]=>[3,2,1,4,6,5]=>3 [2,3,1,5,4,6]=>[3,2,1,5,4,6]=>3 [2,3,1,5,6,4]=>[3,2,1,6,5,4]=>4 [2,3,1,6,4,5]=>[3,2,1,6,5,4]=>4 [2,3,1,6,5,4]=>[3,2,1,6,5,4]=>4 [2,3,4,1,5,6]=>[4,2,3,1,5,6]=>2 [2,3,4,1,6,5]=>[4,2,3,1,6,5]=>3 [2,3,4,5,1,6]=>[5,2,3,4,1,6]=>2 [2,3,4,5,6,1]=>[6,2,3,4,5,1]=>2 [2,3,4,6,1,5]=>[5,2,3,6,1,4]=>2 [2,3,4,6,5,1]=>[6,2,3,5,4,1]=>3 [2,3,5,1,4,6]=>[4,2,5,1,3,6]=>2 [2,3,5,1,6,4]=>[4,2,6,1,5,3]=>3 [2,3,5,4,1,6]=>[5,2,4,3,1,6]=>3 [2,3,5,4,6,1]=>[6,2,4,3,5,1]=>3 [2,3,5,6,1,4]=>[5,2,6,4,1,3]=>3 [2,3,5,6,4,1]=>[6,2,5,4,3,1]=>4 [2,3,6,1,4,5]=>[4,2,6,1,5,3]=>3 [2,3,6,1,5,4]=>[4,2,6,1,5,3]=>3 [2,3,6,4,1,5]=>[5,2,6,4,1,3]=>3 [2,3,6,4,5,1]=>[6,2,5,4,3,1]=>4 [2,3,6,5,1,4]=>[5,2,6,4,1,3]=>3 [2,3,6,5,4,1]=>[6,2,5,4,3,1]=>4 [2,4,1,3,5,6]=>[3,4,1,2,5,6]=>1 [2,4,1,3,6,5]=>[3,4,1,2,6,5]=>2 [2,4,1,5,3,6]=>[3,5,1,4,2,6]=>2 [2,4,1,5,6,3]=>[3,6,1,4,5,2]=>2 [2,4,1,6,3,5]=>[3,5,1,6,2,4]=>2 [2,4,1,6,5,3]=>[3,6,1,5,4,2]=>3 [2,4,3,1,5,6]=>[4,3,2,1,5,6]=>3 [2,4,3,1,6,5]=>[4,3,2,1,6,5]=>4 [2,4,3,5,1,6]=>[5,3,2,4,1,6]=>3 [2,4,3,5,6,1]=>[6,3,2,4,5,1]=>3 [2,4,3,6,1,5]=>[5,3,2,6,1,4]=>3 [2,4,3,6,5,1]=>[6,3,2,5,4,1]=>4 [2,4,5,1,3,6]=>[4,5,3,1,2,6]=>2 [2,4,5,1,6,3]=>[4,6,3,1,5,2]=>3 [2,4,5,3,1,6]=>[5,4,3,2,1,6]=>4 [2,4,5,3,6,1]=>[6,4,3,2,5,1]=>4 [2,4,5,6,1,3]=>[5,6,3,4,1,2]=>2 [2,4,5,6,3,1]=>[6,5,3,4,2,1]=>4 [2,4,6,1,3,5]=>[4,5,6,1,2,3]=>1 [2,4,6,1,5,3]=>[4,6,5,1,3,2]=>3 [2,4,6,3,1,5]=>[5,4,6,2,1,3]=>3 [2,4,6,3,5,1]=>[6,4,5,2,3,1]=>3 [2,4,6,5,1,3]=>[5,6,4,3,1,2]=>3 [2,4,6,5,3,1]=>[6,5,4,3,2,1]=>5 [2,5,1,3,4,6]=>[3,5,1,4,2,6]=>2 [2,5,1,3,6,4]=>[3,6,1,4,5,2]=>2 [2,5,1,4,3,6]=>[3,5,1,4,2,6]=>2 [2,5,1,4,6,3]=>[3,6,1,4,5,2]=>2 [2,5,1,6,3,4]=>[3,6,1,5,4,2]=>3 [2,5,1,6,4,3]=>[3,6,1,5,4,2]=>3 [2,5,3,1,4,6]=>[4,5,3,1,2,6]=>2 [2,5,3,1,6,4]=>[4,6,3,1,5,2]=>3 [2,5,3,4,1,6]=>[5,4,3,2,1,6]=>4 [2,5,3,4,6,1]=>[6,4,3,2,5,1]=>4 [2,5,3,6,1,4]=>[5,6,3,4,1,2]=>2 [2,5,3,6,4,1]=>[6,5,3,4,2,1]=>4 [2,5,4,1,3,6]=>[4,5,3,1,2,6]=>2 [2,5,4,1,6,3]=>[4,6,3,1,5,2]=>3 [2,5,4,3,1,6]=>[5,4,3,2,1,6]=>4 [2,5,4,3,6,1]=>[6,4,3,2,5,1]=>4 [2,5,4,6,1,3]=>[5,6,3,4,1,2]=>2 [2,5,4,6,3,1]=>[6,5,3,4,2,1]=>4 [2,5,6,1,3,4]=>[4,6,5,1,3,2]=>3 [2,5,6,1,4,3]=>[4,6,5,1,3,2]=>3 [2,5,6,3,1,4]=>[5,6,4,3,1,2]=>3 [2,5,6,3,4,1]=>[6,5,4,3,2,1]=>5 [2,5,6,4,1,3]=>[5,6,4,3,1,2]=>3 [2,5,6,4,3,1]=>[6,5,4,3,2,1]=>5 [2,6,1,3,4,5]=>[3,6,1,4,5,2]=>2 [2,6,1,3,5,4]=>[3,6,1,4,5,2]=>2 [2,6,1,4,3,5]=>[3,6,1,5,4,2]=>3 [2,6,1,4,5,3]=>[3,6,1,5,4,2]=>3 [2,6,1,5,3,4]=>[3,6,1,5,4,2]=>3 [2,6,1,5,4,3]=>[3,6,1,5,4,2]=>3 [2,6,3,1,4,5]=>[4,6,3,1,5,2]=>3 [2,6,3,1,5,4]=>[4,6,3,1,5,2]=>3 [2,6,3,4,1,5]=>[5,6,3,4,1,2]=>2 [2,6,3,4,5,1]=>[6,5,3,4,2,1]=>4 [2,6,3,5,1,4]=>[5,6,3,4,1,2]=>2 [2,6,3,5,4,1]=>[6,5,3,4,2,1]=>4 [2,6,4,1,3,5]=>[4,6,5,1,3,2]=>3 [2,6,4,1,5,3]=>[4,6,5,1,3,2]=>3 [2,6,4,3,1,5]=>[5,6,4,3,1,2]=>3 [2,6,4,3,5,1]=>[6,5,4,3,2,1]=>5 [2,6,4,5,1,3]=>[5,6,4,3,1,2]=>3 [2,6,4,5,3,1]=>[6,5,4,3,2,1]=>5 [2,6,5,1,3,4]=>[4,6,5,1,3,2]=>3 [2,6,5,1,4,3]=>[4,6,5,1,3,2]=>3 [2,6,5,3,1,4]=>[5,6,4,3,1,2]=>3 [2,6,5,3,4,1]=>[6,5,4,3,2,1]=>5 [2,6,5,4,1,3]=>[5,6,4,3,1,2]=>3 [2,6,5,4,3,1]=>[6,5,4,3,2,1]=>5 [3,1,2,4,5,6]=>[3,2,1,4,5,6]=>2 [3,1,2,4,6,5]=>[3,2,1,4,6,5]=>3 [3,1,2,5,4,6]=>[3,2,1,5,4,6]=>3 [3,1,2,5,6,4]=>[3,2,1,6,5,4]=>4 [3,1,2,6,4,5]=>[3,2,1,6,5,4]=>4 [3,1,2,6,5,4]=>[3,2,1,6,5,4]=>4 [3,1,4,2,5,6]=>[4,2,3,1,5,6]=>2 [3,1,4,2,6,5]=>[4,2,3,1,6,5]=>3 [3,1,4,5,2,6]=>[5,2,3,4,1,6]=>2 [3,1,4,5,6,2]=>[6,2,3,4,5,1]=>2 [3,1,4,6,2,5]=>[5,2,3,6,1,4]=>2 [3,1,4,6,5,2]=>[6,2,3,5,4,1]=>3 [3,1,5,2,4,6]=>[4,2,5,1,3,6]=>2 [3,1,5,2,6,4]=>[4,2,6,1,5,3]=>3 [3,1,5,4,2,6]=>[5,2,4,3,1,6]=>3 [3,1,5,4,6,2]=>[6,2,4,3,5,1]=>3 [3,1,5,6,2,4]=>[5,2,6,4,1,3]=>3 [3,1,5,6,4,2]=>[6,2,5,4,3,1]=>4 [3,1,6,2,4,5]=>[4,2,6,1,5,3]=>3 [3,1,6,2,5,4]=>[4,2,6,1,5,3]=>3 [3,1,6,4,2,5]=>[5,2,6,4,1,3]=>3 [3,1,6,4,5,2]=>[6,2,5,4,3,1]=>4 [3,1,6,5,2,4]=>[5,2,6,4,1,3]=>3 [3,1,6,5,4,2]=>[6,2,5,4,3,1]=>4 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>2 [3,2,1,4,6,5]=>[3,2,1,4,6,5]=>3 [3,2,1,5,4,6]=>[3,2,1,5,4,6]=>3 [3,2,1,5,6,4]=>[3,2,1,6,5,4]=>4 [3,2,1,6,4,5]=>[3,2,1,6,5,4]=>4 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>4 [3,2,4,1,5,6]=>[4,2,3,1,5,6]=>2 [3,2,4,1,6,5]=>[4,2,3,1,6,5]=>3 [3,2,4,5,1,6]=>[5,2,3,4,1,6]=>2 [3,2,4,5,6,1]=>[6,2,3,4,5,1]=>2 [3,2,4,6,1,5]=>[5,2,3,6,1,4]=>2 [3,2,4,6,5,1]=>[6,2,3,5,4,1]=>3 [3,2,5,1,4,6]=>[4,2,5,1,3,6]=>2 [3,2,5,1,6,4]=>[4,2,6,1,5,3]=>3 [3,2,5,4,1,6]=>[5,2,4,3,1,6]=>3 [3,2,5,4,6,1]=>[6,2,4,3,5,1]=>3 [3,2,5,6,1,4]=>[5,2,6,4,1,3]=>3 [3,2,5,6,4,1]=>[6,2,5,4,3,1]=>4 [3,2,6,1,4,5]=>[4,2,6,1,5,3]=>3 [3,2,6,1,5,4]=>[4,2,6,1,5,3]=>3 [3,2,6,4,1,5]=>[5,2,6,4,1,3]=>3 [3,2,6,4,5,1]=>[6,2,5,4,3,1]=>4 [3,2,6,5,1,4]=>[5,2,6,4,1,3]=>3 [3,2,6,5,4,1]=>[6,2,5,4,3,1]=>4 [3,4,1,2,5,6]=>[4,3,2,1,5,6]=>3 [3,4,1,2,6,5]=>[4,3,2,1,6,5]=>4 [3,4,1,5,2,6]=>[5,3,2,4,1,6]=>3 [3,4,1,5,6,2]=>[6,3,2,4,5,1]=>3 [3,4,1,6,2,5]=>[5,3,2,6,1,4]=>3 [3,4,1,6,5,2]=>[6,3,2,5,4,1]=>4 [3,4,2,1,5,6]=>[4,3,2,1,5,6]=>3 [3,4,2,1,6,5]=>[4,3,2,1,6,5]=>4 [3,4,2,5,1,6]=>[5,3,2,4,1,6]=>3 [3,4,2,5,6,1]=>[6,3,2,4,5,1]=>3 [3,4,2,6,1,5]=>[5,3,2,6,1,4]=>3 [3,4,2,6,5,1]=>[6,3,2,5,4,1]=>4 [3,4,5,1,2,6]=>[5,4,3,2,1,6]=>4 [3,4,5,1,6,2]=>[6,4,3,2,5,1]=>4 [3,4,5,2,1,6]=>[5,4,3,2,1,6]=>4 [3,4,5,2,6,1]=>[6,4,3,2,5,1]=>4 [3,4,5,6,1,2]=>[6,5,3,4,2,1]=>4 [3,4,5,6,2,1]=>[6,5,3,4,2,1]=>4 [3,4,6,1,2,5]=>[5,4,6,2,1,3]=>3 [3,4,6,1,5,2]=>[6,4,5,2,3,1]=>3 [3,4,6,2,1,5]=>[5,4,6,2,1,3]=>3 [3,4,6,2,5,1]=>[6,4,5,2,3,1]=>3 [3,4,6,5,1,2]=>[6,5,4,3,2,1]=>5 [3,4,6,5,2,1]=>[6,5,4,3,2,1]=>5 [3,5,1,2,4,6]=>[4,5,3,1,2,6]=>2 [3,5,1,2,6,4]=>[4,6,3,1,5,2]=>3 [3,5,1,4,2,6]=>[5,4,3,2,1,6]=>4 [3,5,1,4,6,2]=>[6,4,3,2,5,1]=>4 [3,5,1,6,2,4]=>[5,6,3,4,1,2]=>2 [3,5,1,6,4,2]=>[6,5,3,4,2,1]=>4 [3,5,2,1,4,6]=>[4,5,3,1,2,6]=>2 [3,5,2,1,6,4]=>[4,6,3,1,5,2]=>3 [3,5,2,4,1,6]=>[5,4,3,2,1,6]=>4 [3,5,2,4,6,1]=>[6,4,3,2,5,1]=>4 [3,5,2,6,1,4]=>[5,6,3,4,1,2]=>2 [3,5,2,6,4,1]=>[6,5,3,4,2,1]=>4 [3,5,4,1,2,6]=>[5,4,3,2,1,6]=>4 [3,5,4,1,6,2]=>[6,4,3,2,5,1]=>4 [3,5,4,2,1,6]=>[5,4,3,2,1,6]=>4 [3,5,4,2,6,1]=>[6,4,3,2,5,1]=>4 [3,5,4,6,1,2]=>[6,5,3,4,2,1]=>4 [3,5,4,6,2,1]=>[6,5,3,4,2,1]=>4 [3,5,6,1,2,4]=>[5,6,4,3,1,2]=>3 [3,5,6,1,4,2]=>[6,5,4,3,2,1]=>5 [3,5,6,2,1,4]=>[5,6,4,3,1,2]=>3 [3,5,6,2,4,1]=>[6,5,4,3,2,1]=>5 [3,5,6,4,1,2]=>[6,5,4,3,2,1]=>5 [3,5,6,4,2,1]=>[6,5,4,3,2,1]=>5 [3,6,1,2,4,5]=>[4,6,3,1,5,2]=>3 [3,6,1,2,5,4]=>[4,6,3,1,5,2]=>3 [3,6,1,4,2,5]=>[5,6,3,4,1,2]=>2 [3,6,1,4,5,2]=>[6,5,3,4,2,1]=>4 [3,6,1,5,2,4]=>[5,6,3,4,1,2]=>2 [3,6,1,5,4,2]=>[6,5,3,4,2,1]=>4 [3,6,2,1,4,5]=>[4,6,3,1,5,2]=>3 [3,6,2,1,5,4]=>[4,6,3,1,5,2]=>3 [3,6,2,4,1,5]=>[5,6,3,4,1,2]=>2 [3,6,2,4,5,1]=>[6,5,3,4,2,1]=>4 [3,6,2,5,1,4]=>[5,6,3,4,1,2]=>2 [3,6,2,5,4,1]=>[6,5,3,4,2,1]=>4 [3,6,4,1,2,5]=>[5,6,4,3,1,2]=>3 [3,6,4,1,5,2]=>[6,5,4,3,2,1]=>5 [3,6,4,2,1,5]=>[5,6,4,3,1,2]=>3 [3,6,4,2,5,1]=>[6,5,4,3,2,1]=>5 [3,6,4,5,1,2]=>[6,5,4,3,2,1]=>5 [3,6,4,5,2,1]=>[6,5,4,3,2,1]=>5 [3,6,5,1,2,4]=>[5,6,4,3,1,2]=>3 [3,6,5,1,4,2]=>[6,5,4,3,2,1]=>5 [3,6,5,2,1,4]=>[5,6,4,3,1,2]=>3 [3,6,5,2,4,1]=>[6,5,4,3,2,1]=>5 [3,6,5,4,1,2]=>[6,5,4,3,2,1]=>5 [3,6,5,4,2,1]=>[6,5,4,3,2,1]=>5 [4,1,2,3,5,6]=>[4,2,3,1,5,6]=>2 [4,1,2,3,6,5]=>[4,2,3,1,6,5]=>3 [4,1,2,5,3,6]=>[5,2,3,4,1,6]=>2 [4,1,2,5,6,3]=>[6,2,3,4,5,1]=>2 [4,1,2,6,3,5]=>[5,2,3,6,1,4]=>2 [4,1,2,6,5,3]=>[6,2,3,5,4,1]=>3 [4,1,3,2,5,6]=>[4,2,3,1,5,6]=>2 [4,1,3,2,6,5]=>[4,2,3,1,6,5]=>3 [4,1,3,5,2,6]=>[5,2,3,4,1,6]=>2 [4,1,3,5,6,2]=>[6,2,3,4,5,1]=>2 [4,1,3,6,2,5]=>[5,2,3,6,1,4]=>2 [4,1,3,6,5,2]=>[6,2,3,5,4,1]=>3 [4,1,5,2,3,6]=>[5,2,4,3,1,6]=>3 [4,1,5,2,6,3]=>[6,2,4,3,5,1]=>3 [4,1,5,3,2,6]=>[5,2,4,3,1,6]=>3 [4,1,5,3,6,2]=>[6,2,4,3,5,1]=>3 [4,1,5,6,2,3]=>[6,2,5,4,3,1]=>4 [4,1,5,6,3,2]=>[6,2,5,4,3,1]=>4 [4,1,6,2,3,5]=>[5,2,6,4,1,3]=>3 [4,1,6,2,5,3]=>[6,2,5,4,3,1]=>4 [4,1,6,3,2,5]=>[5,2,6,4,1,3]=>3 [4,1,6,3,5,2]=>[6,2,5,4,3,1]=>4 [4,1,6,5,2,3]=>[6,2,5,4,3,1]=>4 [4,1,6,5,3,2]=>[6,2,5,4,3,1]=>4 [4,2,1,3,5,6]=>[4,3,2,1,5,6]=>3 [4,2,1,3,6,5]=>[4,3,2,1,6,5]=>4 [4,2,1,5,3,6]=>[5,3,2,4,1,6]=>3 [4,2,1,5,6,3]=>[6,3,2,4,5,1]=>3 [4,2,1,6,3,5]=>[5,3,2,6,1,4]=>3 [4,2,1,6,5,3]=>[6,3,2,5,4,1]=>4 [4,2,3,1,5,6]=>[4,3,2,1,5,6]=>3 [4,2,3,1,6,5]=>[4,3,2,1,6,5]=>4 [4,2,3,5,1,6]=>[5,3,2,4,1,6]=>3 [4,2,3,5,6,1]=>[6,3,2,4,5,1]=>3 [4,2,3,6,1,5]=>[5,3,2,6,1,4]=>3 [4,2,3,6,5,1]=>[6,3,2,5,4,1]=>4 [4,2,5,1,3,6]=>[5,4,3,2,1,6]=>4 [4,2,5,1,6,3]=>[6,4,3,2,5,1]=>4 [4,2,5,3,1,6]=>[5,4,3,2,1,6]=>4 [4,2,5,3,6,1]=>[6,4,3,2,5,1]=>4 [4,2,5,6,1,3]=>[6,5,3,4,2,1]=>4 [4,2,5,6,3,1]=>[6,5,3,4,2,1]=>4 [4,2,6,1,3,5]=>[5,4,6,2,1,3]=>3 [4,2,6,1,5,3]=>[6,4,5,2,3,1]=>3 [4,2,6,3,1,5]=>[5,4,6,2,1,3]=>3 [4,2,6,3,5,1]=>[6,4,5,2,3,1]=>3 [4,2,6,5,1,3]=>[6,5,4,3,2,1]=>5 [4,2,6,5,3,1]=>[6,5,4,3,2,1]=>5 [4,3,1,2,5,6]=>[4,3,2,1,5,6]=>3 [4,3,1,2,6,5]=>[4,3,2,1,6,5]=>4 [4,3,1,5,2,6]=>[5,3,2,4,1,6]=>3 [4,3,1,5,6,2]=>[6,3,2,4,5,1]=>3 [4,3,1,6,2,5]=>[5,3,2,6,1,4]=>3 [4,3,1,6,5,2]=>[6,3,2,5,4,1]=>4 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>3 [4,3,2,1,6,5]=>[4,3,2,1,6,5]=>4 [4,3,2,5,1,6]=>[5,3,2,4,1,6]=>3 [4,3,2,5,6,1]=>[6,3,2,4,5,1]=>3 [4,3,2,6,1,5]=>[5,3,2,6,1,4]=>3 [4,3,2,6,5,1]=>[6,3,2,5,4,1]=>4 [4,3,5,1,2,6]=>[5,4,3,2,1,6]=>4 [4,3,5,1,6,2]=>[6,4,3,2,5,1]=>4 [4,3,5,2,1,6]=>[5,4,3,2,1,6]=>4 [4,3,5,2,6,1]=>[6,4,3,2,5,1]=>4 [4,3,5,6,1,2]=>[6,5,3,4,2,1]=>4 [4,3,5,6,2,1]=>[6,5,3,4,2,1]=>4 [4,3,6,1,2,5]=>[5,4,6,2,1,3]=>3 [4,3,6,1,5,2]=>[6,4,5,2,3,1]=>3 [4,3,6,2,1,5]=>[5,4,6,2,1,3]=>3 [4,3,6,2,5,1]=>[6,4,5,2,3,1]=>3 [4,3,6,5,1,2]=>[6,5,4,3,2,1]=>5 [4,3,6,5,2,1]=>[6,5,4,3,2,1]=>5 [4,5,1,2,3,6]=>[5,4,3,2,1,6]=>4 [4,5,1,2,6,3]=>[6,4,3,2,5,1]=>4 [4,5,1,3,2,6]=>[5,4,3,2,1,6]=>4 [4,5,1,3,6,2]=>[6,4,3,2,5,1]=>4 [4,5,1,6,2,3]=>[6,5,3,4,2,1]=>4 [4,5,1,6,3,2]=>[6,5,3,4,2,1]=>4 [4,5,2,1,3,6]=>[5,4,3,2,1,6]=>4 [4,5,2,1,6,3]=>[6,4,3,2,5,1]=>4 [4,5,2,3,1,6]=>[5,4,3,2,1,6]=>4 [4,5,2,3,6,1]=>[6,4,3,2,5,1]=>4 [4,5,2,6,1,3]=>[6,5,3,4,2,1]=>4 [4,5,2,6,3,1]=>[6,5,3,4,2,1]=>4 [4,5,3,1,2,6]=>[5,4,3,2,1,6]=>4 [4,5,3,1,6,2]=>[6,4,3,2,5,1]=>4 [4,5,3,2,1,6]=>[5,4,3,2,1,6]=>4 [4,5,3,2,6,1]=>[6,4,3,2,5,1]=>4 [4,5,3,6,1,2]=>[6,5,3,4,2,1]=>4 [4,5,3,6,2,1]=>[6,5,3,4,2,1]=>4 [4,5,6,1,2,3]=>[6,5,4,3,2,1]=>5 [4,5,6,1,3,2]=>[6,5,4,3,2,1]=>5 [4,5,6,2,1,3]=>[6,5,4,3,2,1]=>5 [4,5,6,2,3,1]=>[6,5,4,3,2,1]=>5 [4,5,6,3,1,2]=>[6,5,4,3,2,1]=>5 [4,5,6,3,2,1]=>[6,5,4,3,2,1]=>5 [4,6,1,2,3,5]=>[5,6,3,4,1,2]=>2 [4,6,1,2,5,3]=>[6,5,3,4,2,1]=>4 [4,6,1,3,2,5]=>[5,6,3,4,1,2]=>2 [4,6,1,3,5,2]=>[6,5,3,4,2,1]=>4 [4,6,1,5,2,3]=>[6,5,3,4,2,1]=>4 [4,6,1,5,3,2]=>[6,5,3,4,2,1]=>4 [4,6,2,1,3,5]=>[5,6,4,3,1,2]=>3 [4,6,2,1,5,3]=>[6,5,4,3,2,1]=>5 [4,6,2,3,1,5]=>[5,6,4,3,1,2]=>3 [4,6,2,3,5,1]=>[6,5,4,3,2,1]=>5 [4,6,2,5,1,3]=>[6,5,4,3,2,1]=>5 [4,6,2,5,3,1]=>[6,5,4,3,2,1]=>5 [4,6,3,1,2,5]=>[5,6,4,3,1,2]=>3 [4,6,3,1,5,2]=>[6,5,4,3,2,1]=>5 [4,6,3,2,1,5]=>[5,6,4,3,1,2]=>3 [4,6,3,2,5,1]=>[6,5,4,3,2,1]=>5 [4,6,3,5,1,2]=>[6,5,4,3,2,1]=>5 [4,6,3,5,2,1]=>[6,5,4,3,2,1]=>5 [4,6,5,1,2,3]=>[6,5,4,3,2,1]=>5 [4,6,5,1,3,2]=>[6,5,4,3,2,1]=>5 [4,6,5,2,1,3]=>[6,5,4,3,2,1]=>5 [4,6,5,2,3,1]=>[6,5,4,3,2,1]=>5 [4,6,5,3,1,2]=>[6,5,4,3,2,1]=>5 [4,6,5,3,2,1]=>[6,5,4,3,2,1]=>5 [5,1,2,3,4,6]=>[5,2,3,4,1,6]=>2 [5,1,2,3,6,4]=>[6,2,3,4,5,1]=>2 [5,1,2,4,3,6]=>[5,2,3,4,1,6]=>2 [5,1,2,4,6,3]=>[6,2,3,4,5,1]=>2 [5,1,2,6,3,4]=>[6,2,3,5,4,1]=>3 [5,1,2,6,4,3]=>[6,2,3,5,4,1]=>3 [5,1,3,2,4,6]=>[5,2,4,3,1,6]=>3 [5,1,3,2,6,4]=>[6,2,4,3,5,1]=>3 [5,1,3,4,2,6]=>[5,2,4,3,1,6]=>3 [5,1,3,4,6,2]=>[6,2,4,3,5,1]=>3 [5,1,3,6,2,4]=>[6,2,5,4,3,1]=>4 [5,1,3,6,4,2]=>[6,2,5,4,3,1]=>4 [5,1,4,2,3,6]=>[5,2,4,3,1,6]=>3 [5,1,4,2,6,3]=>[6,2,4,3,5,1]=>3 [5,1,4,3,2,6]=>[5,2,4,3,1,6]=>3 [5,1,4,3,6,2]=>[6,2,4,3,5,1]=>3 [5,1,4,6,2,3]=>[6,2,5,4,3,1]=>4 [5,1,4,6,3,2]=>[6,2,5,4,3,1]=>4 [5,1,6,2,3,4]=>[6,2,5,4,3,1]=>4 [5,1,6,2,4,3]=>[6,2,5,4,3,1]=>4 [5,1,6,3,2,4]=>[6,2,5,4,3,1]=>4 [5,1,6,3,4,2]=>[6,2,5,4,3,1]=>4 [5,1,6,4,2,3]=>[6,2,5,4,3,1]=>4 [5,1,6,4,3,2]=>[6,2,5,4,3,1]=>4 [5,2,1,3,4,6]=>[5,3,2,4,1,6]=>3 [5,2,1,3,6,4]=>[6,3,2,4,5,1]=>3 [5,2,1,4,3,6]=>[5,3,2,4,1,6]=>3 [5,2,1,4,6,3]=>[6,3,2,4,5,1]=>3 [5,2,1,6,3,4]=>[6,3,2,5,4,1]=>4 [5,2,1,6,4,3]=>[6,3,2,5,4,1]=>4 [5,2,3,1,4,6]=>[5,4,3,2,1,6]=>4 [5,2,3,1,6,4]=>[6,4,3,2,5,1]=>4 [5,2,3,4,1,6]=>[5,4,3,2,1,6]=>4 [5,2,3,4,6,1]=>[6,4,3,2,5,1]=>4 [5,2,3,6,1,4]=>[6,5,3,4,2,1]=>4 [5,2,3,6,4,1]=>[6,5,3,4,2,1]=>4 [5,2,4,1,3,6]=>[5,4,3,2,1,6]=>4 [5,2,4,1,6,3]=>[6,4,3,2,5,1]=>4 [5,2,4,3,1,6]=>[5,4,3,2,1,6]=>4 [5,2,4,3,6,1]=>[6,4,3,2,5,1]=>4 [5,2,4,6,1,3]=>[6,5,3,4,2,1]=>4 [5,2,4,6,3,1]=>[6,5,3,4,2,1]=>4 [5,2,6,1,3,4]=>[6,4,5,2,3,1]=>3 [5,2,6,1,4,3]=>[6,4,5,2,3,1]=>3 [5,2,6,3,1,4]=>[6,5,4,3,2,1]=>5 [5,2,6,3,4,1]=>[6,5,4,3,2,1]=>5 [5,2,6,4,1,3]=>[6,5,4,3,2,1]=>5 [5,2,6,4,3,1]=>[6,5,4,3,2,1]=>5 [5,3,1,2,4,6]=>[5,4,3,2,1,6]=>4 [5,3,1,2,6,4]=>[6,4,3,2,5,1]=>4 [5,3,1,4,2,6]=>[5,4,3,2,1,6]=>4 [5,3,1,4,6,2]=>[6,4,3,2,5,1]=>4 [5,3,1,6,2,4]=>[6,5,3,4,2,1]=>4 [5,3,1,6,4,2]=>[6,5,3,4,2,1]=>4 [5,3,2,1,4,6]=>[5,4,3,2,1,6]=>4 [5,3,2,1,6,4]=>[6,4,3,2,5,1]=>4 [5,3,2,4,1,6]=>[5,4,3,2,1,6]=>4 [5,3,2,4,6,1]=>[6,4,3,2,5,1]=>4 [5,3,2,6,1,4]=>[6,5,3,4,2,1]=>4 [5,3,2,6,4,1]=>[6,5,3,4,2,1]=>4 [5,3,4,1,2,6]=>[5,4,3,2,1,6]=>4 [5,3,4,1,6,2]=>[6,4,3,2,5,1]=>4 [5,3,4,2,1,6]=>[5,4,3,2,1,6]=>4 [5,3,4,2,6,1]=>[6,4,3,2,5,1]=>4 [5,3,4,6,1,2]=>[6,5,3,4,2,1]=>4 [5,3,4,6,2,1]=>[6,5,3,4,2,1]=>4 [5,3,6,1,2,4]=>[6,5,4,3,2,1]=>5 [5,3,6,1,4,2]=>[6,5,4,3,2,1]=>5 [5,3,6,2,1,4]=>[6,5,4,3,2,1]=>5 [5,3,6,2,4,1]=>[6,5,4,3,2,1]=>5 [5,3,6,4,1,2]=>[6,5,4,3,2,1]=>5 [5,3,6,4,2,1]=>[6,5,4,3,2,1]=>5 [5,4,1,2,3,6]=>[5,4,3,2,1,6]=>4 [5,4,1,2,6,3]=>[6,4,3,2,5,1]=>4 [5,4,1,3,2,6]=>[5,4,3,2,1,6]=>4 [5,4,1,3,6,2]=>[6,4,3,2,5,1]=>4 [5,4,1,6,2,3]=>[6,5,3,4,2,1]=>4 [5,4,1,6,3,2]=>[6,5,3,4,2,1]=>4 [5,4,2,1,3,6]=>[5,4,3,2,1,6]=>4 [5,4,2,1,6,3]=>[6,4,3,2,5,1]=>4 [5,4,2,3,1,6]=>[5,4,3,2,1,6]=>4 [5,4,2,3,6,1]=>[6,4,3,2,5,1]=>4 [5,4,2,6,1,3]=>[6,5,3,4,2,1]=>4 [5,4,2,6,3,1]=>[6,5,3,4,2,1]=>4 [5,4,3,1,2,6]=>[5,4,3,2,1,6]=>4 [5,4,3,1,6,2]=>[6,4,3,2,5,1]=>4 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>4 [5,4,3,2,6,1]=>[6,4,3,2,5,1]=>4 [5,4,3,6,1,2]=>[6,5,3,4,2,1]=>4 [5,4,3,6,2,1]=>[6,5,3,4,2,1]=>4 [5,4,6,1,2,3]=>[6,5,4,3,2,1]=>5 [5,4,6,1,3,2]=>[6,5,4,3,2,1]=>5 [5,4,6,2,1,3]=>[6,5,4,3,2,1]=>5 [5,4,6,2,3,1]=>[6,5,4,3,2,1]=>5 [5,4,6,3,1,2]=>[6,5,4,3,2,1]=>5 [5,4,6,3,2,1]=>[6,5,4,3,2,1]=>5 [5,6,1,2,3,4]=>[6,5,3,4,2,1]=>4 [5,6,1,2,4,3]=>[6,5,3,4,2,1]=>4 [5,6,1,3,2,4]=>[6,5,3,4,2,1]=>4 [5,6,1,3,4,2]=>[6,5,3,4,2,1]=>4 [5,6,1,4,2,3]=>[6,5,3,4,2,1]=>4 [5,6,1,4,3,2]=>[6,5,3,4,2,1]=>4 [5,6,2,1,3,4]=>[6,5,4,3,2,1]=>5 [5,6,2,1,4,3]=>[6,5,4,3,2,1]=>5 [5,6,2,3,1,4]=>[6,5,4,3,2,1]=>5 [5,6,2,3,4,1]=>[6,5,4,3,2,1]=>5 [5,6,2,4,1,3]=>[6,5,4,3,2,1]=>5 [5,6,2,4,3,1]=>[6,5,4,3,2,1]=>5 [5,6,3,1,2,4]=>[6,5,4,3,2,1]=>5 [5,6,3,1,4,2]=>[6,5,4,3,2,1]=>5 [5,6,3,2,1,4]=>[6,5,4,3,2,1]=>5 [5,6,3,2,4,1]=>[6,5,4,3,2,1]=>5 [5,6,3,4,1,2]=>[6,5,4,3,2,1]=>5 [5,6,3,4,2,1]=>[6,5,4,3,2,1]=>5 [5,6,4,1,2,3]=>[6,5,4,3,2,1]=>5 [5,6,4,1,3,2]=>[6,5,4,3,2,1]=>5 [5,6,4,2,1,3]=>[6,5,4,3,2,1]=>5 [5,6,4,2,3,1]=>[6,5,4,3,2,1]=>5 [5,6,4,3,1,2]=>[6,5,4,3,2,1]=>5 [5,6,4,3,2,1]=>[6,5,4,3,2,1]=>5 [6,1,2,3,4,5]=>[6,2,3,4,5,1]=>2 [6,1,2,3,5,4]=>[6,2,3,4,5,1]=>2 [6,1,2,4,3,5]=>[6,2,3,5,4,1]=>3 [6,1,2,4,5,3]=>[6,2,3,5,4,1]=>3 [6,1,2,5,3,4]=>[6,2,3,5,4,1]=>3 [6,1,2,5,4,3]=>[6,2,3,5,4,1]=>3 [6,1,3,2,4,5]=>[6,2,4,3,5,1]=>3 [6,1,3,2,5,4]=>[6,2,4,3,5,1]=>3 [6,1,3,4,2,5]=>[6,2,5,4,3,1]=>4 [6,1,3,4,5,2]=>[6,2,5,4,3,1]=>4 [6,1,3,5,2,4]=>[6,2,5,4,3,1]=>4 [6,1,3,5,4,2]=>[6,2,5,4,3,1]=>4 [6,1,4,2,3,5]=>[6,2,5,4,3,1]=>4 [6,1,4,2,5,3]=>[6,2,5,4,3,1]=>4 [6,1,4,3,2,5]=>[6,2,5,4,3,1]=>4 [6,1,4,3,5,2]=>[6,2,5,4,3,1]=>4 [6,1,4,5,2,3]=>[6,2,5,4,3,1]=>4 [6,1,4,5,3,2]=>[6,2,5,4,3,1]=>4 [6,1,5,2,3,4]=>[6,2,5,4,3,1]=>4 [6,1,5,2,4,3]=>[6,2,5,4,3,1]=>4 [6,1,5,3,2,4]=>[6,2,5,4,3,1]=>4 [6,1,5,3,4,2]=>[6,2,5,4,3,1]=>4 [6,1,5,4,2,3]=>[6,2,5,4,3,1]=>4 [6,1,5,4,3,2]=>[6,2,5,4,3,1]=>4 [6,2,1,3,4,5]=>[6,3,2,4,5,1]=>3 [6,2,1,3,5,4]=>[6,3,2,4,5,1]=>3 [6,2,1,4,3,5]=>[6,3,2,5,4,1]=>4 [6,2,1,4,5,3]=>[6,3,2,5,4,1]=>4 [6,2,1,5,3,4]=>[6,3,2,5,4,1]=>4 [6,2,1,5,4,3]=>[6,3,2,5,4,1]=>4 [6,2,3,1,4,5]=>[6,4,3,2,5,1]=>4 [6,2,3,1,5,4]=>[6,4,3,2,5,1]=>4 [6,2,3,4,1,5]=>[6,5,3,4,2,1]=>4 [6,2,3,4,5,1]=>[6,5,3,4,2,1]=>4 [6,2,3,5,1,4]=>[6,5,3,4,2,1]=>4 [6,2,3,5,4,1]=>[6,5,3,4,2,1]=>4 [6,2,4,1,3,5]=>[6,4,5,2,3,1]=>3 [6,2,4,1,5,3]=>[6,4,5,2,3,1]=>3 [6,2,4,3,1,5]=>[6,5,4,3,2,1]=>5 [6,2,4,3,5,1]=>[6,5,4,3,2,1]=>5 [6,2,4,5,1,3]=>[6,5,4,3,2,1]=>5 [6,2,4,5,3,1]=>[6,5,4,3,2,1]=>5 [6,2,5,1,3,4]=>[6,4,5,2,3,1]=>3 [6,2,5,1,4,3]=>[6,4,5,2,3,1]=>3 [6,2,5,3,1,4]=>[6,5,4,3,2,1]=>5 [6,2,5,3,4,1]=>[6,5,4,3,2,1]=>5 [6,2,5,4,1,3]=>[6,5,4,3,2,1]=>5 [6,2,5,4,3,1]=>[6,5,4,3,2,1]=>5 [6,3,1,2,4,5]=>[6,4,3,2,5,1]=>4 [6,3,1,2,5,4]=>[6,4,3,2,5,1]=>4 [6,3,1,4,2,5]=>[6,5,3,4,2,1]=>4 [6,3,1,4,5,2]=>[6,5,3,4,2,1]=>4 [6,3,1,5,2,4]=>[6,5,3,4,2,1]=>4 [6,3,1,5,4,2]=>[6,5,3,4,2,1]=>4 [6,3,2,1,4,5]=>[6,4,3,2,5,1]=>4 [6,3,2,1,5,4]=>[6,4,3,2,5,1]=>4 [6,3,2,4,1,5]=>[6,5,3,4,2,1]=>4 [6,3,2,4,5,1]=>[6,5,3,4,2,1]=>4 [6,3,2,5,1,4]=>[6,5,3,4,2,1]=>4 [6,3,2,5,4,1]=>[6,5,3,4,2,1]=>4 [6,3,4,1,2,5]=>[6,5,4,3,2,1]=>5 [6,3,4,1,5,2]=>[6,5,4,3,2,1]=>5 [6,3,4,2,1,5]=>[6,5,4,3,2,1]=>5 [6,3,4,2,5,1]=>[6,5,4,3,2,1]=>5 [6,3,4,5,1,2]=>[6,5,4,3,2,1]=>5 [6,3,4,5,2,1]=>[6,5,4,3,2,1]=>5 [6,3,5,1,2,4]=>[6,5,4,3,2,1]=>5 [6,3,5,1,4,2]=>[6,5,4,3,2,1]=>5 [6,3,5,2,1,4]=>[6,5,4,3,2,1]=>5 [6,3,5,2,4,1]=>[6,5,4,3,2,1]=>5 [6,3,5,4,1,2]=>[6,5,4,3,2,1]=>5 [6,3,5,4,2,1]=>[6,5,4,3,2,1]=>5 [6,4,1,2,3,5]=>[6,5,3,4,2,1]=>4 [6,4,1,2,5,3]=>[6,5,3,4,2,1]=>4 [6,4,1,3,2,5]=>[6,5,3,4,2,1]=>4 [6,4,1,3,5,2]=>[6,5,3,4,2,1]=>4 [6,4,1,5,2,3]=>[6,5,3,4,2,1]=>4 [6,4,1,5,3,2]=>[6,5,3,4,2,1]=>4 [6,4,2,1,3,5]=>[6,5,4,3,2,1]=>5 [6,4,2,1,5,3]=>[6,5,4,3,2,1]=>5 [6,4,2,3,1,5]=>[6,5,4,3,2,1]=>5 [6,4,2,3,5,1]=>[6,5,4,3,2,1]=>5 [6,4,2,5,1,3]=>[6,5,4,3,2,1]=>5 [6,4,2,5,3,1]=>[6,5,4,3,2,1]=>5 [6,4,3,1,2,5]=>[6,5,4,3,2,1]=>5 [6,4,3,1,5,2]=>[6,5,4,3,2,1]=>5 [6,4,3,2,1,5]=>[6,5,4,3,2,1]=>5 [6,4,3,2,5,1]=>[6,5,4,3,2,1]=>5 [6,4,3,5,1,2]=>[6,5,4,3,2,1]=>5 [6,4,3,5,2,1]=>[6,5,4,3,2,1]=>5 [6,4,5,1,2,3]=>[6,5,4,3,2,1]=>5 [6,4,5,1,3,2]=>[6,5,4,3,2,1]=>5 [6,4,5,2,1,3]=>[6,5,4,3,2,1]=>5 [6,4,5,2,3,1]=>[6,5,4,3,2,1]=>5 [6,4,5,3,1,2]=>[6,5,4,3,2,1]=>5 [6,4,5,3,2,1]=>[6,5,4,3,2,1]=>5 [6,5,1,2,3,4]=>[6,5,3,4,2,1]=>4 [6,5,1,2,4,3]=>[6,5,3,4,2,1]=>4 [6,5,1,3,2,4]=>[6,5,3,4,2,1]=>4 [6,5,1,3,4,2]=>[6,5,3,4,2,1]=>4 [6,5,1,4,2,3]=>[6,5,3,4,2,1]=>4 [6,5,1,4,3,2]=>[6,5,3,4,2,1]=>4 [6,5,2,1,3,4]=>[6,5,4,3,2,1]=>5 [6,5,2,1,4,3]=>[6,5,4,3,2,1]=>5 [6,5,2,3,1,4]=>[6,5,4,3,2,1]=>5 [6,5,2,3,4,1]=>[6,5,4,3,2,1]=>5 [6,5,2,4,1,3]=>[6,5,4,3,2,1]=>5 [6,5,2,4,3,1]=>[6,5,4,3,2,1]=>5 [6,5,3,1,2,4]=>[6,5,4,3,2,1]=>5 [6,5,3,1,4,2]=>[6,5,4,3,2,1]=>5 [6,5,3,2,1,4]=>[6,5,4,3,2,1]=>5 [6,5,3,2,4,1]=>[6,5,4,3,2,1]=>5 [6,5,3,4,1,2]=>[6,5,4,3,2,1]=>5 [6,5,3,4,2,1]=>[6,5,4,3,2,1]=>5 [6,5,4,1,2,3]=>[6,5,4,3,2,1]=>5 [6,5,4,1,3,2]=>[6,5,4,3,2,1]=>5 [6,5,4,2,1,3]=>[6,5,4,3,2,1]=>5 [6,5,4,2,3,1]=>[6,5,4,3,2,1]=>5 [6,5,4,3,1,2]=>[6,5,4,3,2,1]=>5 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>5 []=>[]=>0
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Description
The number of descents of a permutation.
This can be described as an occurrence of the vincular mesh pattern ([2,1], {(1,0),(1,1),(1,2)}), i.e., the middle column is shaded, see [3].
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.