Identifier
Values
=>
[1]=>[1]=>1 [1,2]=>[2,1]=>1 [2,1]=>[1,2]=>2 [1,2,3]=>[3,2,1]=>1 [1,3,2]=>[3,1,2]=>1 [2,1,3]=>[2,3,1]=>1 [2,3,1]=>[2,1,3]=>2 [3,1,2]=>[1,3,2]=>2 [3,2,1]=>[1,2,3]=>3 [1,2,3,4]=>[4,3,2,1]=>1 [1,2,4,3]=>[4,3,1,2]=>1 [1,3,2,4]=>[4,2,3,1]=>1 [1,3,4,2]=>[4,2,1,3]=>1 [1,4,2,3]=>[4,1,3,2]=>1 [1,4,3,2]=>[4,1,2,3]=>1 [2,1,3,4]=>[3,4,2,1]=>1 [2,1,4,3]=>[3,4,1,2]=>1 [2,3,1,4]=>[3,2,4,1]=>1 [2,3,4,1]=>[3,2,1,4]=>2 [2,4,1,3]=>[3,1,4,2]=>1 [2,4,3,1]=>[3,1,2,4]=>2 [3,1,2,4]=>[2,4,3,1]=>1 [3,1,4,2]=>[2,4,1,3]=>1 [3,2,1,4]=>[2,3,4,1]=>1 [3,2,4,1]=>[2,3,1,4]=>2 [3,4,1,2]=>[2,1,4,3]=>2 [3,4,2,1]=>[2,1,3,4]=>3 [4,1,2,3]=>[1,4,3,2]=>2 [4,1,3,2]=>[1,4,2,3]=>2 [4,2,1,3]=>[1,3,4,2]=>2 [4,2,3,1]=>[1,3,2,4]=>3 [4,3,1,2]=>[1,2,4,3]=>3 [4,3,2,1]=>[1,2,3,4]=>4 [1,2,3,4,5]=>[5,4,3,2,1]=>1 [1,2,3,5,4]=>[5,4,3,1,2]=>1 [1,2,4,3,5]=>[5,4,2,3,1]=>1 [1,2,4,5,3]=>[5,4,2,1,3]=>1 [1,2,5,3,4]=>[5,4,1,3,2]=>1 [1,2,5,4,3]=>[5,4,1,2,3]=>1 [1,3,2,4,5]=>[5,3,4,2,1]=>1 [1,3,2,5,4]=>[5,3,4,1,2]=>1 [1,3,4,2,5]=>[5,3,2,4,1]=>1 [1,3,4,5,2]=>[5,3,2,1,4]=>1 [1,3,5,2,4]=>[5,3,1,4,2]=>1 [1,3,5,4,2]=>[5,3,1,2,4]=>1 [1,4,2,3,5]=>[5,2,4,3,1]=>1 [1,4,2,5,3]=>[5,2,4,1,3]=>1 [1,4,3,2,5]=>[5,2,3,4,1]=>1 [1,4,3,5,2]=>[5,2,3,1,4]=>1 [1,4,5,2,3]=>[5,2,1,4,3]=>1 [1,4,5,3,2]=>[5,2,1,3,4]=>1 [1,5,2,3,4]=>[5,1,4,3,2]=>1 [1,5,2,4,3]=>[5,1,4,2,3]=>1 [1,5,3,2,4]=>[5,1,3,4,2]=>1 [1,5,3,4,2]=>[5,1,3,2,4]=>1 [1,5,4,2,3]=>[5,1,2,4,3]=>1 [1,5,4,3,2]=>[5,1,2,3,4]=>1 [2,1,3,4,5]=>[4,5,3,2,1]=>1 [2,1,3,5,4]=>[4,5,3,1,2]=>1 [2,1,4,3,5]=>[4,5,2,3,1]=>1 [2,1,4,5,3]=>[4,5,2,1,3]=>1 [2,1,5,3,4]=>[4,5,1,3,2]=>1 [2,1,5,4,3]=>[4,5,1,2,3]=>1 [2,3,1,4,5]=>[4,3,5,2,1]=>1 [2,3,1,5,4]=>[4,3,5,1,2]=>1 [2,3,4,1,5]=>[4,3,2,5,1]=>1 [2,3,4,5,1]=>[4,3,2,1,5]=>2 [2,3,5,1,4]=>[4,3,1,5,2]=>1 [2,3,5,4,1]=>[4,3,1,2,5]=>2 [2,4,1,3,5]=>[4,2,5,3,1]=>1 [2,4,1,5,3]=>[4,2,5,1,3]=>1 [2,4,3,1,5]=>[4,2,3,5,1]=>1 [2,4,3,5,1]=>[4,2,3,1,5]=>2 [2,4,5,1,3]=>[4,2,1,5,3]=>1 [2,4,5,3,1]=>[4,2,1,3,5]=>2 [2,5,1,3,4]=>[4,1,5,3,2]=>1 [2,5,1,4,3]=>[4,1,5,2,3]=>1 [2,5,3,1,4]=>[4,1,3,5,2]=>1 [2,5,3,4,1]=>[4,1,3,2,5]=>2 [2,5,4,1,3]=>[4,1,2,5,3]=>1 [2,5,4,3,1]=>[4,1,2,3,5]=>2 [3,1,2,4,5]=>[3,5,4,2,1]=>1 [3,1,2,5,4]=>[3,5,4,1,2]=>1 [3,1,4,2,5]=>[3,5,2,4,1]=>1 [3,1,4,5,2]=>[3,5,2,1,4]=>1 [3,1,5,2,4]=>[3,5,1,4,2]=>1 [3,1,5,4,2]=>[3,5,1,2,4]=>1 [3,2,1,4,5]=>[3,4,5,2,1]=>1 [3,2,1,5,4]=>[3,4,5,1,2]=>1 [3,2,4,1,5]=>[3,4,2,5,1]=>1 [3,2,4,5,1]=>[3,4,2,1,5]=>2 [3,2,5,1,4]=>[3,4,1,5,2]=>1 [3,2,5,4,1]=>[3,4,1,2,5]=>2 [3,4,1,2,5]=>[3,2,5,4,1]=>1 [3,4,1,5,2]=>[3,2,5,1,4]=>1 [3,4,2,1,5]=>[3,2,4,5,1]=>1 [3,4,2,5,1]=>[3,2,4,1,5]=>2 [3,4,5,1,2]=>[3,2,1,5,4]=>2 [3,4,5,2,1]=>[3,2,1,4,5]=>3 [3,5,1,2,4]=>[3,1,5,4,2]=>1 [3,5,1,4,2]=>[3,1,5,2,4]=>1 [3,5,2,1,4]=>[3,1,4,5,2]=>1 [3,5,2,4,1]=>[3,1,4,2,5]=>2 [3,5,4,1,2]=>[3,1,2,5,4]=>2 [3,5,4,2,1]=>[3,1,2,4,5]=>3 [4,1,2,3,5]=>[2,5,4,3,1]=>1 [4,1,2,5,3]=>[2,5,4,1,3]=>1 [4,1,3,2,5]=>[2,5,3,4,1]=>1 [4,1,3,5,2]=>[2,5,3,1,4]=>1 [4,1,5,2,3]=>[2,5,1,4,3]=>1 [4,1,5,3,2]=>[2,5,1,3,4]=>1 [4,2,1,3,5]=>[2,4,5,3,1]=>1 [4,2,1,5,3]=>[2,4,5,1,3]=>1 [4,2,3,1,5]=>[2,4,3,5,1]=>1 [4,2,3,5,1]=>[2,4,3,1,5]=>2 [4,2,5,1,3]=>[2,4,1,5,3]=>1 [4,2,5,3,1]=>[2,4,1,3,5]=>2 [4,3,1,2,5]=>[2,3,5,4,1]=>1 [4,3,1,5,2]=>[2,3,5,1,4]=>1 [4,3,2,1,5]=>[2,3,4,5,1]=>1 [4,3,2,5,1]=>[2,3,4,1,5]=>2 [4,3,5,1,2]=>[2,3,1,5,4]=>2 [4,3,5,2,1]=>[2,3,1,4,5]=>3 [4,5,1,2,3]=>[2,1,5,4,3]=>2 [4,5,1,3,2]=>[2,1,5,3,4]=>2 [4,5,2,1,3]=>[2,1,4,5,3]=>2 [4,5,2,3,1]=>[2,1,4,3,5]=>3 [4,5,3,1,2]=>[2,1,3,5,4]=>3 [4,5,3,2,1]=>[2,1,3,4,5]=>4 [5,1,2,3,4]=>[1,5,4,3,2]=>2 [5,1,2,4,3]=>[1,5,4,2,3]=>2 [5,1,3,2,4]=>[1,5,3,4,2]=>2 [5,1,3,4,2]=>[1,5,3,2,4]=>2 [5,1,4,2,3]=>[1,5,2,4,3]=>2 [5,1,4,3,2]=>[1,5,2,3,4]=>2 [5,2,1,3,4]=>[1,4,5,3,2]=>2 [5,2,1,4,3]=>[1,4,5,2,3]=>2 [5,2,3,1,4]=>[1,4,3,5,2]=>2 [5,2,3,4,1]=>[1,4,3,2,5]=>3 [5,2,4,1,3]=>[1,4,2,5,3]=>2 [5,2,4,3,1]=>[1,4,2,3,5]=>3 [5,3,1,2,4]=>[1,3,5,4,2]=>2 [5,3,1,4,2]=>[1,3,5,2,4]=>2 [5,3,2,1,4]=>[1,3,4,5,2]=>2 [5,3,2,4,1]=>[1,3,4,2,5]=>3 [5,3,4,1,2]=>[1,3,2,5,4]=>3 [5,3,4,2,1]=>[1,3,2,4,5]=>4 [5,4,1,2,3]=>[1,2,5,4,3]=>3 [5,4,1,3,2]=>[1,2,5,3,4]=>3 [5,4,2,1,3]=>[1,2,4,5,3]=>3 [5,4,2,3,1]=>[1,2,4,3,5]=>4 [5,4,3,1,2]=>[1,2,3,5,4]=>4 [5,4,3,2,1]=>[1,2,3,4,5]=>5 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>1 [1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1 [1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1 [1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1 [1,2,3,6,4,5]=>[6,5,4,1,3,2]=>1 [1,2,3,6,5,4]=>[6,5,4,1,2,3]=>1 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1 [1,2,4,3,6,5]=>[6,5,3,4,1,2]=>1 [1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1 [1,2,4,5,6,3]=>[6,5,3,2,1,4]=>1 [1,2,4,6,3,5]=>[6,5,3,1,4,2]=>1 [1,2,4,6,5,3]=>[6,5,3,1,2,4]=>1 [1,2,5,3,4,6]=>[6,5,2,4,3,1]=>1 [1,2,5,3,6,4]=>[6,5,2,4,1,3]=>1 [1,2,5,4,3,6]=>[6,5,2,3,4,1]=>1 [1,2,5,4,6,3]=>[6,5,2,3,1,4]=>1 [1,2,5,6,3,4]=>[6,5,2,1,4,3]=>1 [1,2,5,6,4,3]=>[6,5,2,1,3,4]=>1 [1,2,6,3,4,5]=>[6,5,1,4,3,2]=>1 [1,2,6,3,5,4]=>[6,5,1,4,2,3]=>1 [1,2,6,4,3,5]=>[6,5,1,3,4,2]=>1 [1,2,6,4,5,3]=>[6,5,1,3,2,4]=>1 [1,2,6,5,3,4]=>[6,5,1,2,4,3]=>1 [1,2,6,5,4,3]=>[6,5,1,2,3,4]=>1 [1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1 [1,3,2,4,6,5]=>[6,4,5,3,1,2]=>1 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>1 [1,3,2,5,6,4]=>[6,4,5,2,1,3]=>1 [1,3,2,6,4,5]=>[6,4,5,1,3,2]=>1 [1,3,2,6,5,4]=>[6,4,5,1,2,3]=>1 [1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1 [1,3,4,2,6,5]=>[6,4,3,5,1,2]=>1 [1,3,4,5,2,6]=>[6,4,3,2,5,1]=>1 [1,3,4,5,6,2]=>[6,4,3,2,1,5]=>1 [1,3,4,6,2,5]=>[6,4,3,1,5,2]=>1 [1,3,4,6,5,2]=>[6,4,3,1,2,5]=>1 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>1 [1,3,5,2,6,4]=>[6,4,2,5,1,3]=>1 [1,3,5,4,2,6]=>[6,4,2,3,5,1]=>1 [1,3,5,4,6,2]=>[6,4,2,3,1,5]=>1 [1,3,5,6,2,4]=>[6,4,2,1,5,3]=>1 [1,3,5,6,4,2]=>[6,4,2,1,3,5]=>1 [1,3,6,2,4,5]=>[6,4,1,5,3,2]=>1 [1,3,6,2,5,4]=>[6,4,1,5,2,3]=>1 [1,3,6,4,2,5]=>[6,4,1,3,5,2]=>1 [1,3,6,4,5,2]=>[6,4,1,3,2,5]=>1 [1,3,6,5,2,4]=>[6,4,1,2,5,3]=>1 [1,3,6,5,4,2]=>[6,4,1,2,3,5]=>1 [1,4,2,3,5,6]=>[6,3,5,4,2,1]=>1 [1,4,2,3,6,5]=>[6,3,5,4,1,2]=>1 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>1 [1,4,2,5,6,3]=>[6,3,5,2,1,4]=>1 [1,4,2,6,3,5]=>[6,3,5,1,4,2]=>1 [1,4,2,6,5,3]=>[6,3,5,1,2,4]=>1 [1,4,3,2,5,6]=>[6,3,4,5,2,1]=>1 [1,4,3,2,6,5]=>[6,3,4,5,1,2]=>1 [1,4,3,5,2,6]=>[6,3,4,2,5,1]=>1 [1,4,3,5,6,2]=>[6,3,4,2,1,5]=>1 [1,4,3,6,2,5]=>[6,3,4,1,5,2]=>1 [1,4,3,6,5,2]=>[6,3,4,1,2,5]=>1 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>1 [1,4,5,2,6,3]=>[6,3,2,5,1,4]=>1 [1,4,5,3,2,6]=>[6,3,2,4,5,1]=>1 [1,4,5,3,6,2]=>[6,3,2,4,1,5]=>1 [1,4,5,6,2,3]=>[6,3,2,1,5,4]=>1 [1,4,5,6,3,2]=>[6,3,2,1,4,5]=>1 [1,4,6,2,3,5]=>[6,3,1,5,4,2]=>1 [1,4,6,2,5,3]=>[6,3,1,5,2,4]=>1 [1,4,6,3,2,5]=>[6,3,1,4,5,2]=>1 [1,4,6,3,5,2]=>[6,3,1,4,2,5]=>1 [1,4,6,5,2,3]=>[6,3,1,2,5,4]=>1 [1,4,6,5,3,2]=>[6,3,1,2,4,5]=>1 [1,5,2,3,4,6]=>[6,2,5,4,3,1]=>1 [1,5,2,3,6,4]=>[6,2,5,4,1,3]=>1 [1,5,2,4,3,6]=>[6,2,5,3,4,1]=>1 [1,5,2,4,6,3]=>[6,2,5,3,1,4]=>1 [1,5,2,6,3,4]=>[6,2,5,1,4,3]=>1 [1,5,2,6,4,3]=>[6,2,5,1,3,4]=>1 [1,5,3,2,4,6]=>[6,2,4,5,3,1]=>1 [1,5,3,2,6,4]=>[6,2,4,5,1,3]=>1 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>1 [1,5,3,4,6,2]=>[6,2,4,3,1,5]=>1 [1,5,3,6,2,4]=>[6,2,4,1,5,3]=>1 [1,5,3,6,4,2]=>[6,2,4,1,3,5]=>1 [1,5,4,2,3,6]=>[6,2,3,5,4,1]=>1 [1,5,4,2,6,3]=>[6,2,3,5,1,4]=>1 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>1 [1,5,4,3,6,2]=>[6,2,3,4,1,5]=>1 [1,5,4,6,2,3]=>[6,2,3,1,5,4]=>1 [1,5,4,6,3,2]=>[6,2,3,1,4,5]=>1 [1,5,6,2,3,4]=>[6,2,1,5,4,3]=>1 [1,5,6,2,4,3]=>[6,2,1,5,3,4]=>1 [1,5,6,3,2,4]=>[6,2,1,4,5,3]=>1 [1,5,6,3,4,2]=>[6,2,1,4,3,5]=>1 [1,5,6,4,2,3]=>[6,2,1,3,5,4]=>1 [1,5,6,4,3,2]=>[6,2,1,3,4,5]=>1 [1,6,2,3,4,5]=>[6,1,5,4,3,2]=>1 [1,6,2,3,5,4]=>[6,1,5,4,2,3]=>1 [1,6,2,4,3,5]=>[6,1,5,3,4,2]=>1 [1,6,2,4,5,3]=>[6,1,5,3,2,4]=>1 [1,6,2,5,3,4]=>[6,1,5,2,4,3]=>1 [1,6,2,5,4,3]=>[6,1,5,2,3,4]=>1 [1,6,3,2,4,5]=>[6,1,4,5,3,2]=>1 [1,6,3,2,5,4]=>[6,1,4,5,2,3]=>1 [1,6,3,4,2,5]=>[6,1,4,3,5,2]=>1 [1,6,3,4,5,2]=>[6,1,4,3,2,5]=>1 [1,6,3,5,2,4]=>[6,1,4,2,5,3]=>1 [1,6,3,5,4,2]=>[6,1,4,2,3,5]=>1 [1,6,4,2,3,5]=>[6,1,3,5,4,2]=>1 [1,6,4,2,5,3]=>[6,1,3,5,2,4]=>1 [1,6,4,3,2,5]=>[6,1,3,4,5,2]=>1 [1,6,4,3,5,2]=>[6,1,3,4,2,5]=>1 [1,6,4,5,2,3]=>[6,1,3,2,5,4]=>1 [1,6,4,5,3,2]=>[6,1,3,2,4,5]=>1 [1,6,5,2,3,4]=>[6,1,2,5,4,3]=>1 [1,6,5,2,4,3]=>[6,1,2,5,3,4]=>1 [1,6,5,3,2,4]=>[6,1,2,4,5,3]=>1 [1,6,5,3,4,2]=>[6,1,2,4,3,5]=>1 [1,6,5,4,2,3]=>[6,1,2,3,5,4]=>1 [1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1 [2,1,3,4,5,6]=>[5,6,4,3,2,1]=>1 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>1 [2,1,3,5,4,6]=>[5,6,4,2,3,1]=>1 [2,1,3,5,6,4]=>[5,6,4,2,1,3]=>1 [2,1,3,6,4,5]=>[5,6,4,1,3,2]=>1 [2,1,3,6,5,4]=>[5,6,4,1,2,3]=>1 [2,1,4,3,5,6]=>[5,6,3,4,2,1]=>1 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>1 [2,1,4,5,3,6]=>[5,6,3,2,4,1]=>1 [2,1,4,5,6,3]=>[5,6,3,2,1,4]=>1 [2,1,4,6,3,5]=>[5,6,3,1,4,2]=>1 [2,1,4,6,5,3]=>[5,6,3,1,2,4]=>1 [2,1,5,3,4,6]=>[5,6,2,4,3,1]=>1 [2,1,5,3,6,4]=>[5,6,2,4,1,3]=>1 [2,1,5,4,3,6]=>[5,6,2,3,4,1]=>1 [2,1,5,4,6,3]=>[5,6,2,3,1,4]=>1 [2,1,5,6,3,4]=>[5,6,2,1,4,3]=>1 [2,1,5,6,4,3]=>[5,6,2,1,3,4]=>1 [2,1,6,3,4,5]=>[5,6,1,4,3,2]=>1 [2,1,6,3,5,4]=>[5,6,1,4,2,3]=>1 [2,1,6,4,3,5]=>[5,6,1,3,4,2]=>1 [2,1,6,4,5,3]=>[5,6,1,3,2,4]=>1 [2,1,6,5,3,4]=>[5,6,1,2,4,3]=>1 [2,1,6,5,4,3]=>[5,6,1,2,3,4]=>1 [2,3,1,4,5,6]=>[5,4,6,3,2,1]=>1 [2,3,1,4,6,5]=>[5,4,6,3,1,2]=>1 [2,3,1,5,4,6]=>[5,4,6,2,3,1]=>1 [2,3,1,5,6,4]=>[5,4,6,2,1,3]=>1 [2,3,1,6,4,5]=>[5,4,6,1,3,2]=>1 [2,3,1,6,5,4]=>[5,4,6,1,2,3]=>1 [2,3,4,1,5,6]=>[5,4,3,6,2,1]=>1 [2,3,4,1,6,5]=>[5,4,3,6,1,2]=>1 [2,3,4,5,1,6]=>[5,4,3,2,6,1]=>1 [2,3,4,5,6,1]=>[5,4,3,2,1,6]=>2 [2,3,4,6,1,5]=>[5,4,3,1,6,2]=>1 [2,3,4,6,5,1]=>[5,4,3,1,2,6]=>2 [2,3,5,1,4,6]=>[5,4,2,6,3,1]=>1 [2,3,5,1,6,4]=>[5,4,2,6,1,3]=>1 [2,3,5,4,1,6]=>[5,4,2,3,6,1]=>1 [2,3,5,4,6,1]=>[5,4,2,3,1,6]=>2 [2,3,5,6,1,4]=>[5,4,2,1,6,3]=>1 [2,3,5,6,4,1]=>[5,4,2,1,3,6]=>2 [2,3,6,1,4,5]=>[5,4,1,6,3,2]=>1 [2,3,6,1,5,4]=>[5,4,1,6,2,3]=>1 [2,3,6,4,1,5]=>[5,4,1,3,6,2]=>1 [2,3,6,4,5,1]=>[5,4,1,3,2,6]=>2 [2,3,6,5,1,4]=>[5,4,1,2,6,3]=>1 [2,3,6,5,4,1]=>[5,4,1,2,3,6]=>2 [2,4,1,3,5,6]=>[5,3,6,4,2,1]=>1 [2,4,1,3,6,5]=>[5,3,6,4,1,2]=>1 [2,4,1,5,3,6]=>[5,3,6,2,4,1]=>1 [2,4,1,5,6,3]=>[5,3,6,2,1,4]=>1 [2,4,1,6,3,5]=>[5,3,6,1,4,2]=>1 [2,4,1,6,5,3]=>[5,3,6,1,2,4]=>1 [2,4,3,1,5,6]=>[5,3,4,6,2,1]=>1 [2,4,3,1,6,5]=>[5,3,4,6,1,2]=>1 [2,4,3,5,1,6]=>[5,3,4,2,6,1]=>1 [2,4,3,5,6,1]=>[5,3,4,2,1,6]=>2 [2,4,3,6,1,5]=>[5,3,4,1,6,2]=>1 [2,4,3,6,5,1]=>[5,3,4,1,2,6]=>2 [2,4,5,1,3,6]=>[5,3,2,6,4,1]=>1 [2,4,5,1,6,3]=>[5,3,2,6,1,4]=>1 [2,4,5,3,1,6]=>[5,3,2,4,6,1]=>1 [2,4,5,3,6,1]=>[5,3,2,4,1,6]=>2 [2,4,5,6,1,3]=>[5,3,2,1,6,4]=>1 [2,4,5,6,3,1]=>[5,3,2,1,4,6]=>2 [2,4,6,1,3,5]=>[5,3,1,6,4,2]=>1 [2,4,6,1,5,3]=>[5,3,1,6,2,4]=>1 [2,4,6,3,1,5]=>[5,3,1,4,6,2]=>1 [2,4,6,3,5,1]=>[5,3,1,4,2,6]=>2 [2,4,6,5,1,3]=>[5,3,1,2,6,4]=>1 [2,4,6,5,3,1]=>[5,3,1,2,4,6]=>2 [2,5,1,3,4,6]=>[5,2,6,4,3,1]=>1 [2,5,1,3,6,4]=>[5,2,6,4,1,3]=>1 [2,5,1,4,3,6]=>[5,2,6,3,4,1]=>1 [2,5,1,4,6,3]=>[5,2,6,3,1,4]=>1 [2,5,1,6,3,4]=>[5,2,6,1,4,3]=>1 [2,5,1,6,4,3]=>[5,2,6,1,3,4]=>1 [2,5,3,1,4,6]=>[5,2,4,6,3,1]=>1 [2,5,3,1,6,4]=>[5,2,4,6,1,3]=>1 [2,5,3,4,1,6]=>[5,2,4,3,6,1]=>1 [2,5,3,4,6,1]=>[5,2,4,3,1,6]=>2 [2,5,3,6,1,4]=>[5,2,4,1,6,3]=>1 [2,5,3,6,4,1]=>[5,2,4,1,3,6]=>2 [2,5,4,1,3,6]=>[5,2,3,6,4,1]=>1 [2,5,4,1,6,3]=>[5,2,3,6,1,4]=>1 [2,5,4,3,1,6]=>[5,2,3,4,6,1]=>1 [2,5,4,3,6,1]=>[5,2,3,4,1,6]=>2 [2,5,4,6,1,3]=>[5,2,3,1,6,4]=>1 [2,5,4,6,3,1]=>[5,2,3,1,4,6]=>2 [2,5,6,1,3,4]=>[5,2,1,6,4,3]=>1 [2,5,6,1,4,3]=>[5,2,1,6,3,4]=>1 [2,5,6,3,1,4]=>[5,2,1,4,6,3]=>1 [2,5,6,3,4,1]=>[5,2,1,4,3,6]=>2 [2,5,6,4,1,3]=>[5,2,1,3,6,4]=>1 [2,5,6,4,3,1]=>[5,2,1,3,4,6]=>2 [2,6,1,3,4,5]=>[5,1,6,4,3,2]=>1 [2,6,1,3,5,4]=>[5,1,6,4,2,3]=>1 [2,6,1,4,3,5]=>[5,1,6,3,4,2]=>1 [2,6,1,4,5,3]=>[5,1,6,3,2,4]=>1 [2,6,1,5,3,4]=>[5,1,6,2,4,3]=>1 [2,6,1,5,4,3]=>[5,1,6,2,3,4]=>1 [2,6,3,1,4,5]=>[5,1,4,6,3,2]=>1 [2,6,3,1,5,4]=>[5,1,4,6,2,3]=>1 [2,6,3,4,1,5]=>[5,1,4,3,6,2]=>1 [2,6,3,4,5,1]=>[5,1,4,3,2,6]=>2 [2,6,3,5,1,4]=>[5,1,4,2,6,3]=>1 [2,6,3,5,4,1]=>[5,1,4,2,3,6]=>2 [2,6,4,1,3,5]=>[5,1,3,6,4,2]=>1 [2,6,4,1,5,3]=>[5,1,3,6,2,4]=>1 [2,6,4,3,1,5]=>[5,1,3,4,6,2]=>1 [2,6,4,3,5,1]=>[5,1,3,4,2,6]=>2 [2,6,4,5,1,3]=>[5,1,3,2,6,4]=>1 [2,6,4,5,3,1]=>[5,1,3,2,4,6]=>2 [2,6,5,1,3,4]=>[5,1,2,6,4,3]=>1 [2,6,5,1,4,3]=>[5,1,2,6,3,4]=>1 [2,6,5,3,1,4]=>[5,1,2,4,6,3]=>1 [2,6,5,3,4,1]=>[5,1,2,4,3,6]=>2 [2,6,5,4,1,3]=>[5,1,2,3,6,4]=>1 [2,6,5,4,3,1]=>[5,1,2,3,4,6]=>2 [3,1,2,4,5,6]=>[4,6,5,3,2,1]=>1 [3,1,2,4,6,5]=>[4,6,5,3,1,2]=>1 [3,1,2,5,4,6]=>[4,6,5,2,3,1]=>1 [3,1,2,5,6,4]=>[4,6,5,2,1,3]=>1 [3,1,2,6,4,5]=>[4,6,5,1,3,2]=>1 [3,1,2,6,5,4]=>[4,6,5,1,2,3]=>1 [3,1,4,2,5,6]=>[4,6,3,5,2,1]=>1 [3,1,4,2,6,5]=>[4,6,3,5,1,2]=>1 [3,1,4,5,2,6]=>[4,6,3,2,5,1]=>1 [3,1,4,5,6,2]=>[4,6,3,2,1,5]=>1 [3,1,4,6,2,5]=>[4,6,3,1,5,2]=>1 [3,1,4,6,5,2]=>[4,6,3,1,2,5]=>1 [3,1,5,2,4,6]=>[4,6,2,5,3,1]=>1 [3,1,5,2,6,4]=>[4,6,2,5,1,3]=>1 [3,1,5,4,2,6]=>[4,6,2,3,5,1]=>1 [3,1,5,4,6,2]=>[4,6,2,3,1,5]=>1 [3,1,5,6,2,4]=>[4,6,2,1,5,3]=>1 [3,1,5,6,4,2]=>[4,6,2,1,3,5]=>1 [3,1,6,2,4,5]=>[4,6,1,5,3,2]=>1 [3,1,6,2,5,4]=>[4,6,1,5,2,3]=>1 [3,1,6,4,2,5]=>[4,6,1,3,5,2]=>1 [3,1,6,4,5,2]=>[4,6,1,3,2,5]=>1 [3,1,6,5,2,4]=>[4,6,1,2,5,3]=>1 [3,1,6,5,4,2]=>[4,6,1,2,3,5]=>1 [3,2,1,4,5,6]=>[4,5,6,3,2,1]=>1 [3,2,1,4,6,5]=>[4,5,6,3,1,2]=>1 [3,2,1,5,4,6]=>[4,5,6,2,3,1]=>1 [3,2,1,5,6,4]=>[4,5,6,2,1,3]=>1 [3,2,1,6,4,5]=>[4,5,6,1,3,2]=>1 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>1 [3,2,4,1,5,6]=>[4,5,3,6,2,1]=>1 [3,2,4,1,6,5]=>[4,5,3,6,1,2]=>1 [3,2,4,5,1,6]=>[4,5,3,2,6,1]=>1 [3,2,4,5,6,1]=>[4,5,3,2,1,6]=>2 [3,2,4,6,1,5]=>[4,5,3,1,6,2]=>1 [3,2,4,6,5,1]=>[4,5,3,1,2,6]=>2 [3,2,5,1,4,6]=>[4,5,2,6,3,1]=>1 [3,2,5,1,6,4]=>[4,5,2,6,1,3]=>1 [3,2,5,4,1,6]=>[4,5,2,3,6,1]=>1 [3,2,5,4,6,1]=>[4,5,2,3,1,6]=>2 [3,2,5,6,1,4]=>[4,5,2,1,6,3]=>1 [3,2,5,6,4,1]=>[4,5,2,1,3,6]=>2 [3,2,6,1,4,5]=>[4,5,1,6,3,2]=>1 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>1 [3,2,6,4,1,5]=>[4,5,1,3,6,2]=>1 [3,2,6,4,5,1]=>[4,5,1,3,2,6]=>2 [3,2,6,5,1,4]=>[4,5,1,2,6,3]=>1 [3,2,6,5,4,1]=>[4,5,1,2,3,6]=>2 [3,4,1,2,5,6]=>[4,3,6,5,2,1]=>1 [3,4,1,2,6,5]=>[4,3,6,5,1,2]=>1 [3,4,1,5,2,6]=>[4,3,6,2,5,1]=>1 [3,4,1,5,6,2]=>[4,3,6,2,1,5]=>1 [3,4,1,6,2,5]=>[4,3,6,1,5,2]=>1 [3,4,1,6,5,2]=>[4,3,6,1,2,5]=>1 [3,4,2,1,5,6]=>[4,3,5,6,2,1]=>1 [3,4,2,1,6,5]=>[4,3,5,6,1,2]=>1 [3,4,2,5,1,6]=>[4,3,5,2,6,1]=>1 [3,4,2,5,6,1]=>[4,3,5,2,1,6]=>2 [3,4,2,6,1,5]=>[4,3,5,1,6,2]=>1 [3,4,2,6,5,1]=>[4,3,5,1,2,6]=>2 [3,4,5,1,2,6]=>[4,3,2,6,5,1]=>1 [3,4,5,1,6,2]=>[4,3,2,6,1,5]=>1 [3,4,5,2,1,6]=>[4,3,2,5,6,1]=>1 [3,4,5,2,6,1]=>[4,3,2,5,1,6]=>2 [3,4,5,6,1,2]=>[4,3,2,1,6,5]=>2 [3,4,5,6,2,1]=>[4,3,2,1,5,6]=>3 [3,4,6,1,2,5]=>[4,3,1,6,5,2]=>1 [3,4,6,1,5,2]=>[4,3,1,6,2,5]=>1 [3,4,6,2,1,5]=>[4,3,1,5,6,2]=>1 [3,4,6,2,5,1]=>[4,3,1,5,2,6]=>2 [3,4,6,5,1,2]=>[4,3,1,2,6,5]=>2 [3,4,6,5,2,1]=>[4,3,1,2,5,6]=>3 [3,5,1,2,4,6]=>[4,2,6,5,3,1]=>1 [3,5,1,2,6,4]=>[4,2,6,5,1,3]=>1 [3,5,1,4,2,6]=>[4,2,6,3,5,1]=>1 [3,5,1,4,6,2]=>[4,2,6,3,1,5]=>1 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>1 [3,5,1,6,4,2]=>[4,2,6,1,3,5]=>1 [3,5,2,1,4,6]=>[4,2,5,6,3,1]=>1 [3,5,2,1,6,4]=>[4,2,5,6,1,3]=>1 [3,5,2,4,1,6]=>[4,2,5,3,6,1]=>1 [3,5,2,4,6,1]=>[4,2,5,3,1,6]=>2 [3,5,2,6,1,4]=>[4,2,5,1,6,3]=>1 [3,5,2,6,4,1]=>[4,2,5,1,3,6]=>2 [3,5,4,1,2,6]=>[4,2,3,6,5,1]=>1 [3,5,4,1,6,2]=>[4,2,3,6,1,5]=>1 [3,5,4,2,1,6]=>[4,2,3,5,6,1]=>1 [3,5,4,2,6,1]=>[4,2,3,5,1,6]=>2 [3,5,4,6,1,2]=>[4,2,3,1,6,5]=>2 [3,5,4,6,2,1]=>[4,2,3,1,5,6]=>3 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>1 [3,5,6,1,4,2]=>[4,2,1,6,3,5]=>1 [3,5,6,2,1,4]=>[4,2,1,5,6,3]=>1 [3,5,6,2,4,1]=>[4,2,1,5,3,6]=>2 [3,5,6,4,1,2]=>[4,2,1,3,6,5]=>2 [3,5,6,4,2,1]=>[4,2,1,3,5,6]=>3 [3,6,1,2,4,5]=>[4,1,6,5,3,2]=>1 [3,6,1,2,5,4]=>[4,1,6,5,2,3]=>1 [3,6,1,4,2,5]=>[4,1,6,3,5,2]=>1 [3,6,1,4,5,2]=>[4,1,6,3,2,5]=>1 [3,6,1,5,2,4]=>[4,1,6,2,5,3]=>1 [3,6,1,5,4,2]=>[4,1,6,2,3,5]=>1 [3,6,2,1,4,5]=>[4,1,5,6,3,2]=>1 [3,6,2,1,5,4]=>[4,1,5,6,2,3]=>1 [3,6,2,4,1,5]=>[4,1,5,3,6,2]=>1 [3,6,2,4,5,1]=>[4,1,5,3,2,6]=>2 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>1 [3,6,2,5,4,1]=>[4,1,5,2,3,6]=>2 [3,6,4,1,2,5]=>[4,1,3,6,5,2]=>1 [3,6,4,1,5,2]=>[4,1,3,6,2,5]=>1 [3,6,4,2,1,5]=>[4,1,3,5,6,2]=>1 [3,6,4,2,5,1]=>[4,1,3,5,2,6]=>2 [3,6,4,5,1,2]=>[4,1,3,2,6,5]=>2 [3,6,4,5,2,1]=>[4,1,3,2,5,6]=>3 [3,6,5,1,2,4]=>[4,1,2,6,5,3]=>1 [3,6,5,1,4,2]=>[4,1,2,6,3,5]=>1 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>1 [3,6,5,2,4,1]=>[4,1,2,5,3,6]=>2 [3,6,5,4,1,2]=>[4,1,2,3,6,5]=>2 [3,6,5,4,2,1]=>[4,1,2,3,5,6]=>3 [4,1,2,3,5,6]=>[3,6,5,4,2,1]=>1 [4,1,2,3,6,5]=>[3,6,5,4,1,2]=>1 [4,1,2,5,3,6]=>[3,6,5,2,4,1]=>1 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>1 [4,1,2,6,3,5]=>[3,6,5,1,4,2]=>1 [4,1,2,6,5,3]=>[3,6,5,1,2,4]=>1 [4,1,3,2,5,6]=>[3,6,4,5,2,1]=>1 [4,1,3,2,6,5]=>[3,6,4,5,1,2]=>1 [4,1,3,5,2,6]=>[3,6,4,2,5,1]=>1 [4,1,3,5,6,2]=>[3,6,4,2,1,5]=>1 [4,1,3,6,2,5]=>[3,6,4,1,5,2]=>1 [4,1,3,6,5,2]=>[3,6,4,1,2,5]=>1 [4,1,5,2,3,6]=>[3,6,2,5,4,1]=>1 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>1 [4,1,5,3,2,6]=>[3,6,2,4,5,1]=>1 [4,1,5,3,6,2]=>[3,6,2,4,1,5]=>1 [4,1,5,6,2,3]=>[3,6,2,1,5,4]=>1 [4,1,5,6,3,2]=>[3,6,2,1,4,5]=>1 [4,1,6,2,3,5]=>[3,6,1,5,4,2]=>1 [4,1,6,2,5,3]=>[3,6,1,5,2,4]=>1 [4,1,6,3,2,5]=>[3,6,1,4,5,2]=>1 [4,1,6,3,5,2]=>[3,6,1,4,2,5]=>1 [4,1,6,5,2,3]=>[3,6,1,2,5,4]=>1 [4,1,6,5,3,2]=>[3,6,1,2,4,5]=>1 [4,2,1,3,5,6]=>[3,5,6,4,2,1]=>1 [4,2,1,3,6,5]=>[3,5,6,4,1,2]=>1 [4,2,1,5,3,6]=>[3,5,6,2,4,1]=>1 [4,2,1,5,6,3]=>[3,5,6,2,1,4]=>1 [4,2,1,6,3,5]=>[3,5,6,1,4,2]=>1 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>1 [4,2,3,1,5,6]=>[3,5,4,6,2,1]=>1 [4,2,3,1,6,5]=>[3,5,4,6,1,2]=>1 [4,2,3,5,1,6]=>[3,5,4,2,6,1]=>1 [4,2,3,5,6,1]=>[3,5,4,2,1,6]=>2 [4,2,3,6,1,5]=>[3,5,4,1,6,2]=>1 [4,2,3,6,5,1]=>[3,5,4,1,2,6]=>2 [4,2,5,1,3,6]=>[3,5,2,6,4,1]=>1 [4,2,5,1,6,3]=>[3,5,2,6,1,4]=>1 [4,2,5,3,1,6]=>[3,5,2,4,6,1]=>1 [4,2,5,3,6,1]=>[3,5,2,4,1,6]=>2 [4,2,5,6,1,3]=>[3,5,2,1,6,4]=>1 [4,2,5,6,3,1]=>[3,5,2,1,4,6]=>2 [4,2,6,1,3,5]=>[3,5,1,6,4,2]=>1 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>1 [4,2,6,3,1,5]=>[3,5,1,4,6,2]=>1 [4,2,6,3,5,1]=>[3,5,1,4,2,6]=>2 [4,2,6,5,1,3]=>[3,5,1,2,6,4]=>1 [4,2,6,5,3,1]=>[3,5,1,2,4,6]=>2 [4,3,1,2,5,6]=>[3,4,6,5,2,1]=>1 [4,3,1,2,6,5]=>[3,4,6,5,1,2]=>1 [4,3,1,5,2,6]=>[3,4,6,2,5,1]=>1 [4,3,1,5,6,2]=>[3,4,6,2,1,5]=>1 [4,3,1,6,2,5]=>[3,4,6,1,5,2]=>1 [4,3,1,6,5,2]=>[3,4,6,1,2,5]=>1 [4,3,2,1,5,6]=>[3,4,5,6,2,1]=>1 [4,3,2,1,6,5]=>[3,4,5,6,1,2]=>1 [4,3,2,5,1,6]=>[3,4,5,2,6,1]=>1 [4,3,2,5,6,1]=>[3,4,5,2,1,6]=>2 [4,3,2,6,1,5]=>[3,4,5,1,6,2]=>1 [4,3,2,6,5,1]=>[3,4,5,1,2,6]=>2 [4,3,5,1,2,6]=>[3,4,2,6,5,1]=>1 [4,3,5,1,6,2]=>[3,4,2,6,1,5]=>1 [4,3,5,2,1,6]=>[3,4,2,5,6,1]=>1 [4,3,5,2,6,1]=>[3,4,2,5,1,6]=>2 [4,3,5,6,1,2]=>[3,4,2,1,6,5]=>2 [4,3,5,6,2,1]=>[3,4,2,1,5,6]=>3 [4,3,6,1,2,5]=>[3,4,1,6,5,2]=>1 [4,3,6,1,5,2]=>[3,4,1,6,2,5]=>1 [4,3,6,2,1,5]=>[3,4,1,5,6,2]=>1 [4,3,6,2,5,1]=>[3,4,1,5,2,6]=>2 [4,3,6,5,1,2]=>[3,4,1,2,6,5]=>2 [4,3,6,5,2,1]=>[3,4,1,2,5,6]=>3 [4,5,1,2,3,6]=>[3,2,6,5,4,1]=>1 [4,5,1,2,6,3]=>[3,2,6,5,1,4]=>1 [4,5,1,3,2,6]=>[3,2,6,4,5,1]=>1 [4,5,1,3,6,2]=>[3,2,6,4,1,5]=>1 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>1 [4,5,1,6,3,2]=>[3,2,6,1,4,5]=>1 [4,5,2,1,3,6]=>[3,2,5,6,4,1]=>1 [4,5,2,1,6,3]=>[3,2,5,6,1,4]=>1 [4,5,2,3,1,6]=>[3,2,5,4,6,1]=>1 [4,5,2,3,6,1]=>[3,2,5,4,1,6]=>2 [4,5,2,6,1,3]=>[3,2,5,1,6,4]=>1 [4,5,2,6,3,1]=>[3,2,5,1,4,6]=>2 [4,5,3,1,2,6]=>[3,2,4,6,5,1]=>1 [4,5,3,1,6,2]=>[3,2,4,6,1,5]=>1 [4,5,3,2,1,6]=>[3,2,4,5,6,1]=>1 [4,5,3,2,6,1]=>[3,2,4,5,1,6]=>2 [4,5,3,6,1,2]=>[3,2,4,1,6,5]=>2 [4,5,3,6,2,1]=>[3,2,4,1,5,6]=>3 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>2 [4,5,6,1,3,2]=>[3,2,1,6,4,5]=>2 [4,5,6,2,1,3]=>[3,2,1,5,6,4]=>2 [4,5,6,2,3,1]=>[3,2,1,5,4,6]=>3 [4,5,6,3,1,2]=>[3,2,1,4,6,5]=>3 [4,5,6,3,2,1]=>[3,2,1,4,5,6]=>4 [4,6,1,2,3,5]=>[3,1,6,5,4,2]=>1 [4,6,1,2,5,3]=>[3,1,6,5,2,4]=>1 [4,6,1,3,2,5]=>[3,1,6,4,5,2]=>1 [4,6,1,3,5,2]=>[3,1,6,4,2,5]=>1 [4,6,1,5,2,3]=>[3,1,6,2,5,4]=>1 [4,6,1,5,3,2]=>[3,1,6,2,4,5]=>1 [4,6,2,1,3,5]=>[3,1,5,6,4,2]=>1 [4,6,2,1,5,3]=>[3,1,5,6,2,4]=>1 [4,6,2,3,1,5]=>[3,1,5,4,6,2]=>1 [4,6,2,3,5,1]=>[3,1,5,4,2,6]=>2 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>1 [4,6,2,5,3,1]=>[3,1,5,2,4,6]=>2 [4,6,3,1,2,5]=>[3,1,4,6,5,2]=>1 [4,6,3,1,5,2]=>[3,1,4,6,2,5]=>1 [4,6,3,2,1,5]=>[3,1,4,5,6,2]=>1 [4,6,3,2,5,1]=>[3,1,4,5,2,6]=>2 [4,6,3,5,1,2]=>[3,1,4,2,6,5]=>2 [4,6,3,5,2,1]=>[3,1,4,2,5,6]=>3 [4,6,5,1,2,3]=>[3,1,2,6,5,4]=>2 [4,6,5,1,3,2]=>[3,1,2,6,4,5]=>2 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>2 [4,6,5,2,3,1]=>[3,1,2,5,4,6]=>3 [4,6,5,3,1,2]=>[3,1,2,4,6,5]=>3 [4,6,5,3,2,1]=>[3,1,2,4,5,6]=>4 [5,1,2,3,4,6]=>[2,6,5,4,3,1]=>1 [5,1,2,3,6,4]=>[2,6,5,4,1,3]=>1 [5,1,2,4,3,6]=>[2,6,5,3,4,1]=>1 [5,1,2,4,6,3]=>[2,6,5,3,1,4]=>1 [5,1,2,6,3,4]=>[2,6,5,1,4,3]=>1 [5,1,2,6,4,3]=>[2,6,5,1,3,4]=>1 [5,1,3,2,4,6]=>[2,6,4,5,3,1]=>1 [5,1,3,2,6,4]=>[2,6,4,5,1,3]=>1 [5,1,3,4,2,6]=>[2,6,4,3,5,1]=>1 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>1 [5,1,3,6,2,4]=>[2,6,4,1,5,3]=>1 [5,1,3,6,4,2]=>[2,6,4,1,3,5]=>1 [5,1,4,2,3,6]=>[2,6,3,5,4,1]=>1 [5,1,4,2,6,3]=>[2,6,3,5,1,4]=>1 [5,1,4,3,2,6]=>[2,6,3,4,5,1]=>1 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>1 [5,1,4,6,2,3]=>[2,6,3,1,5,4]=>1 [5,1,4,6,3,2]=>[2,6,3,1,4,5]=>1 [5,1,6,2,3,4]=>[2,6,1,5,4,3]=>1 [5,1,6,2,4,3]=>[2,6,1,5,3,4]=>1 [5,1,6,3,2,4]=>[2,6,1,4,5,3]=>1 [5,1,6,3,4,2]=>[2,6,1,4,3,5]=>1 [5,1,6,4,2,3]=>[2,6,1,3,5,4]=>1 [5,1,6,4,3,2]=>[2,6,1,3,4,5]=>1 [5,2,1,3,4,6]=>[2,5,6,4,3,1]=>1 [5,2,1,3,6,4]=>[2,5,6,4,1,3]=>1 [5,2,1,4,3,6]=>[2,5,6,3,4,1]=>1 [5,2,1,4,6,3]=>[2,5,6,3,1,4]=>1 [5,2,1,6,3,4]=>[2,5,6,1,4,3]=>1 [5,2,1,6,4,3]=>[2,5,6,1,3,4]=>1 [5,2,3,1,4,6]=>[2,5,4,6,3,1]=>1 [5,2,3,1,6,4]=>[2,5,4,6,1,3]=>1 [5,2,3,4,1,6]=>[2,5,4,3,6,1]=>1 [5,2,3,4,6,1]=>[2,5,4,3,1,6]=>2 [5,2,3,6,1,4]=>[2,5,4,1,6,3]=>1 [5,2,3,6,4,1]=>[2,5,4,1,3,6]=>2 [5,2,4,1,3,6]=>[2,5,3,6,4,1]=>1 [5,2,4,1,6,3]=>[2,5,3,6,1,4]=>1 [5,2,4,3,1,6]=>[2,5,3,4,6,1]=>1 [5,2,4,3,6,1]=>[2,5,3,4,1,6]=>2 [5,2,4,6,1,3]=>[2,5,3,1,6,4]=>1 [5,2,4,6,3,1]=>[2,5,3,1,4,6]=>2 [5,2,6,1,3,4]=>[2,5,1,6,4,3]=>1 [5,2,6,1,4,3]=>[2,5,1,6,3,4]=>1 [5,2,6,3,1,4]=>[2,5,1,4,6,3]=>1 [5,2,6,3,4,1]=>[2,5,1,4,3,6]=>2 [5,2,6,4,1,3]=>[2,5,1,3,6,4]=>1 [5,2,6,4,3,1]=>[2,5,1,3,4,6]=>2 [5,3,1,2,4,6]=>[2,4,6,5,3,1]=>1 [5,3,1,2,6,4]=>[2,4,6,5,1,3]=>1 [5,3,1,4,2,6]=>[2,4,6,3,5,1]=>1 [5,3,1,4,6,2]=>[2,4,6,3,1,5]=>1 [5,3,1,6,2,4]=>[2,4,6,1,5,3]=>1 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>1 [5,3,2,1,4,6]=>[2,4,5,6,3,1]=>1 [5,3,2,1,6,4]=>[2,4,5,6,1,3]=>1 [5,3,2,4,1,6]=>[2,4,5,3,6,1]=>1 [5,3,2,4,6,1]=>[2,4,5,3,1,6]=>2 [5,3,2,6,1,4]=>[2,4,5,1,6,3]=>1 [5,3,2,6,4,1]=>[2,4,5,1,3,6]=>2 [5,3,4,1,2,6]=>[2,4,3,6,5,1]=>1 [5,3,4,1,6,2]=>[2,4,3,6,1,5]=>1 [5,3,4,2,1,6]=>[2,4,3,5,6,1]=>1 [5,3,4,2,6,1]=>[2,4,3,5,1,6]=>2 [5,3,4,6,1,2]=>[2,4,3,1,6,5]=>2 [5,3,4,6,2,1]=>[2,4,3,1,5,6]=>3 [5,3,6,1,2,4]=>[2,4,1,6,5,3]=>1 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>1 [5,3,6,2,1,4]=>[2,4,1,5,6,3]=>1 [5,3,6,2,4,1]=>[2,4,1,5,3,6]=>2 [5,3,6,4,1,2]=>[2,4,1,3,6,5]=>2 [5,3,6,4,2,1]=>[2,4,1,3,5,6]=>3 [5,4,1,2,3,6]=>[2,3,6,5,4,1]=>1 [5,4,1,2,6,3]=>[2,3,6,5,1,4]=>1 [5,4,1,3,2,6]=>[2,3,6,4,5,1]=>1 [5,4,1,3,6,2]=>[2,3,6,4,1,5]=>1 [5,4,1,6,2,3]=>[2,3,6,1,5,4]=>1 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>1 [5,4,2,1,3,6]=>[2,3,5,6,4,1]=>1 [5,4,2,1,6,3]=>[2,3,5,6,1,4]=>1 [5,4,2,3,1,6]=>[2,3,5,4,6,1]=>1 [5,4,2,3,6,1]=>[2,3,5,4,1,6]=>2 [5,4,2,6,1,3]=>[2,3,5,1,6,4]=>1 [5,4,2,6,3,1]=>[2,3,5,1,4,6]=>2 [5,4,3,1,2,6]=>[2,3,4,6,5,1]=>1 [5,4,3,1,6,2]=>[2,3,4,6,1,5]=>1 [5,4,3,2,1,6]=>[2,3,4,5,6,1]=>1 [5,4,3,2,6,1]=>[2,3,4,5,1,6]=>2 [5,4,3,6,1,2]=>[2,3,4,1,6,5]=>2 [5,4,3,6,2,1]=>[2,3,4,1,5,6]=>3 [5,4,6,1,2,3]=>[2,3,1,6,5,4]=>2 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>2 [5,4,6,2,1,3]=>[2,3,1,5,6,4]=>2 [5,4,6,2,3,1]=>[2,3,1,5,4,6]=>3 [5,4,6,3,1,2]=>[2,3,1,4,6,5]=>3 [5,4,6,3,2,1]=>[2,3,1,4,5,6]=>4 [5,6,1,2,3,4]=>[2,1,6,5,4,3]=>2 [5,6,1,2,4,3]=>[2,1,6,5,3,4]=>2 [5,6,1,3,2,4]=>[2,1,6,4,5,3]=>2 [5,6,1,3,4,2]=>[2,1,6,4,3,5]=>2 [5,6,1,4,2,3]=>[2,1,6,3,5,4]=>2 [5,6,1,4,3,2]=>[2,1,6,3,4,5]=>2 [5,6,2,1,3,4]=>[2,1,5,6,4,3]=>2 [5,6,2,1,4,3]=>[2,1,5,6,3,4]=>2 [5,6,2,3,1,4]=>[2,1,5,4,6,3]=>2 [5,6,2,3,4,1]=>[2,1,5,4,3,6]=>3 [5,6,2,4,1,3]=>[2,1,5,3,6,4]=>2 [5,6,2,4,3,1]=>[2,1,5,3,4,6]=>3 [5,6,3,1,2,4]=>[2,1,4,6,5,3]=>2 [5,6,3,1,4,2]=>[2,1,4,6,3,5]=>2 [5,6,3,2,1,4]=>[2,1,4,5,6,3]=>2 [5,6,3,2,4,1]=>[2,1,4,5,3,6]=>3 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>3 [5,6,3,4,2,1]=>[2,1,4,3,5,6]=>4 [5,6,4,1,2,3]=>[2,1,3,6,5,4]=>3 [5,6,4,1,3,2]=>[2,1,3,6,4,5]=>3 [5,6,4,2,1,3]=>[2,1,3,5,6,4]=>3 [5,6,4,2,3,1]=>[2,1,3,5,4,6]=>4 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>4 [5,6,4,3,2,1]=>[2,1,3,4,5,6]=>5 [6,1,2,3,4,5]=>[1,6,5,4,3,2]=>2 [6,1,2,3,5,4]=>[1,6,5,4,2,3]=>2 [6,1,2,4,3,5]=>[1,6,5,3,4,2]=>2 [6,1,2,4,5,3]=>[1,6,5,3,2,4]=>2 [6,1,2,5,3,4]=>[1,6,5,2,4,3]=>2 [6,1,2,5,4,3]=>[1,6,5,2,3,4]=>2 [6,1,3,2,4,5]=>[1,6,4,5,3,2]=>2 [6,1,3,2,5,4]=>[1,6,4,5,2,3]=>2 [6,1,3,4,2,5]=>[1,6,4,3,5,2]=>2 [6,1,3,4,5,2]=>[1,6,4,3,2,5]=>2 [6,1,3,5,2,4]=>[1,6,4,2,5,3]=>2 [6,1,3,5,4,2]=>[1,6,4,2,3,5]=>2 [6,1,4,2,3,5]=>[1,6,3,5,4,2]=>2 [6,1,4,2,5,3]=>[1,6,3,5,2,4]=>2 [6,1,4,3,2,5]=>[1,6,3,4,5,2]=>2 [6,1,4,3,5,2]=>[1,6,3,4,2,5]=>2 [6,1,4,5,2,3]=>[1,6,3,2,5,4]=>2 [6,1,4,5,3,2]=>[1,6,3,2,4,5]=>2 [6,1,5,2,3,4]=>[1,6,2,5,4,3]=>2 [6,1,5,2,4,3]=>[1,6,2,5,3,4]=>2 [6,1,5,3,2,4]=>[1,6,2,4,5,3]=>2 [6,1,5,3,4,2]=>[1,6,2,4,3,5]=>2 [6,1,5,4,2,3]=>[1,6,2,3,5,4]=>2 [6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2 [6,2,1,3,4,5]=>[1,5,6,4,3,2]=>2 [6,2,1,3,5,4]=>[1,5,6,4,2,3]=>2 [6,2,1,4,3,5]=>[1,5,6,3,4,2]=>2 [6,2,1,4,5,3]=>[1,5,6,3,2,4]=>2 [6,2,1,5,3,4]=>[1,5,6,2,4,3]=>2 [6,2,1,5,4,3]=>[1,5,6,2,3,4]=>2 [6,2,3,1,4,5]=>[1,5,4,6,3,2]=>2 [6,2,3,1,5,4]=>[1,5,4,6,2,3]=>2 [6,2,3,4,1,5]=>[1,5,4,3,6,2]=>2 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>3 [6,2,3,5,1,4]=>[1,5,4,2,6,3]=>2 [6,2,3,5,4,1]=>[1,5,4,2,3,6]=>3 [6,2,4,1,3,5]=>[1,5,3,6,4,2]=>2 [6,2,4,1,5,3]=>[1,5,3,6,2,4]=>2 [6,2,4,3,1,5]=>[1,5,3,4,6,2]=>2 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>3 [6,2,4,5,1,3]=>[1,5,3,2,6,4]=>2 [6,2,4,5,3,1]=>[1,5,3,2,4,6]=>3 [6,2,5,1,3,4]=>[1,5,2,6,4,3]=>2 [6,2,5,1,4,3]=>[1,5,2,6,3,4]=>2 [6,2,5,3,1,4]=>[1,5,2,4,6,3]=>2 [6,2,5,3,4,1]=>[1,5,2,4,3,6]=>3 [6,2,5,4,1,3]=>[1,5,2,3,6,4]=>2 [6,2,5,4,3,1]=>[1,5,2,3,4,6]=>3 [6,3,1,2,4,5]=>[1,4,6,5,3,2]=>2 [6,3,1,2,5,4]=>[1,4,6,5,2,3]=>2 [6,3,1,4,2,5]=>[1,4,6,3,5,2]=>2 [6,3,1,4,5,2]=>[1,4,6,3,2,5]=>2 [6,3,1,5,2,4]=>[1,4,6,2,5,3]=>2 [6,3,1,5,4,2]=>[1,4,6,2,3,5]=>2 [6,3,2,1,4,5]=>[1,4,5,6,3,2]=>2 [6,3,2,1,5,4]=>[1,4,5,6,2,3]=>2 [6,3,2,4,1,5]=>[1,4,5,3,6,2]=>2 [6,3,2,4,5,1]=>[1,4,5,3,2,6]=>3 [6,3,2,5,1,4]=>[1,4,5,2,6,3]=>2 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>3 [6,3,4,1,2,5]=>[1,4,3,6,5,2]=>2 [6,3,4,1,5,2]=>[1,4,3,6,2,5]=>2 [6,3,4,2,1,5]=>[1,4,3,5,6,2]=>2 [6,3,4,2,5,1]=>[1,4,3,5,2,6]=>3 [6,3,4,5,1,2]=>[1,4,3,2,6,5]=>3 [6,3,4,5,2,1]=>[1,4,3,2,5,6]=>4 [6,3,5,1,2,4]=>[1,4,2,6,5,3]=>2 [6,3,5,1,4,2]=>[1,4,2,6,3,5]=>2 [6,3,5,2,1,4]=>[1,4,2,5,6,3]=>2 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>3 [6,3,5,4,1,2]=>[1,4,2,3,6,5]=>3 [6,3,5,4,2,1]=>[1,4,2,3,5,6]=>4 [6,4,1,2,3,5]=>[1,3,6,5,4,2]=>2 [6,4,1,2,5,3]=>[1,3,6,5,2,4]=>2 [6,4,1,3,2,5]=>[1,3,6,4,5,2]=>2 [6,4,1,3,5,2]=>[1,3,6,4,2,5]=>2 [6,4,1,5,2,3]=>[1,3,6,2,5,4]=>2 [6,4,1,5,3,2]=>[1,3,6,2,4,5]=>2 [6,4,2,1,3,5]=>[1,3,5,6,4,2]=>2 [6,4,2,1,5,3]=>[1,3,5,6,2,4]=>2 [6,4,2,3,1,5]=>[1,3,5,4,6,2]=>2 [6,4,2,3,5,1]=>[1,3,5,4,2,6]=>3 [6,4,2,5,1,3]=>[1,3,5,2,6,4]=>2 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>3 [6,4,3,1,2,5]=>[1,3,4,6,5,2]=>2 [6,4,3,1,5,2]=>[1,3,4,6,2,5]=>2 [6,4,3,2,1,5]=>[1,3,4,5,6,2]=>2 [6,4,3,2,5,1]=>[1,3,4,5,2,6]=>3 [6,4,3,5,1,2]=>[1,3,4,2,6,5]=>3 [6,4,3,5,2,1]=>[1,3,4,2,5,6]=>4 [6,4,5,1,2,3]=>[1,3,2,6,5,4]=>3 [6,4,5,1,3,2]=>[1,3,2,6,4,5]=>3 [6,4,5,2,1,3]=>[1,3,2,5,6,4]=>3 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>4 [6,4,5,3,1,2]=>[1,3,2,4,6,5]=>4 [6,4,5,3,2,1]=>[1,3,2,4,5,6]=>5 [6,5,1,2,3,4]=>[1,2,6,5,4,3]=>3 [6,5,1,2,4,3]=>[1,2,6,5,3,4]=>3 [6,5,1,3,2,4]=>[1,2,6,4,5,3]=>3 [6,5,1,3,4,2]=>[1,2,6,4,3,5]=>3 [6,5,1,4,2,3]=>[1,2,6,3,5,4]=>3 [6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3 [6,5,2,1,3,4]=>[1,2,5,6,4,3]=>3 [6,5,2,1,4,3]=>[1,2,5,6,3,4]=>3 [6,5,2,3,1,4]=>[1,2,5,4,6,3]=>3 [6,5,2,3,4,1]=>[1,2,5,4,3,6]=>4 [6,5,2,4,1,3]=>[1,2,5,3,6,4]=>3 [6,5,2,4,3,1]=>[1,2,5,3,4,6]=>4 [6,5,3,1,2,4]=>[1,2,4,6,5,3]=>3 [6,5,3,1,4,2]=>[1,2,4,6,3,5]=>3 [6,5,3,2,1,4]=>[1,2,4,5,6,3]=>3 [6,5,3,2,4,1]=>[1,2,4,5,3,6]=>4 [6,5,3,4,1,2]=>[1,2,4,3,6,5]=>4 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>5 [6,5,4,1,2,3]=>[1,2,3,6,5,4]=>4 [6,5,4,1,3,2]=>[1,2,3,6,4,5]=>4 [6,5,4,2,1,3]=>[1,2,3,5,6,4]=>4 [6,5,4,2,3,1]=>[1,2,3,5,4,6]=>5 [6,5,4,3,1,2]=>[1,2,3,4,6,5]=>5 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>6
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Description
The decomposition (or block) number of a permutation.
For $\pi \in \mathcal{S}_n$, this is given by
$$\#\big\{ 1 \leq k \leq n : \{\pi_1,\ldots,\pi_k\} = \{1,\ldots,k\} \big\}.$$
This is also known as the number of connected components [1] or the number of blocks [2] of the permutation, considering it as a direct sum.
This is one plus St000234The number of global ascents of a permutation..
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$