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]=>[3,1,2]=>2 [2,1,3]=>[2,1,3]=>1 [2,3,1]=>[1,3,2]=>1 [3,1,2]=>[2,3,1]=>1 [3,2,1]=>[3,2,1]=>1 [1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,3]=>[4,1,2,3]=>3 [1,3,2,4]=>[3,1,2,4]=>2 [1,3,4,2]=>[2,4,1,3]=>2 [1,4,2,3]=>[3,4,1,2]=>2 [1,4,3,2]=>[4,3,1,2]=>2 [2,1,3,4]=>[2,1,3,4]=>1 [2,1,4,3]=>[1,4,2,3]=>2 [2,3,1,4]=>[1,3,2,4]=>1 [2,3,4,1]=>[1,2,4,3]=>1 [2,4,1,3]=>[1,3,4,2]=>1 [2,4,3,1]=>[4,1,3,2]=>2 [3,1,2,4]=>[2,3,1,4]=>1 [3,1,4,2]=>[4,2,1,3]=>1 [3,2,1,4]=>[3,2,1,4]=>1 [3,2,4,1]=>[2,1,4,3]=>2 [3,4,1,2]=>[3,1,4,2]=>2 [3,4,2,1]=>[1,4,3,2]=>1 [4,1,2,3]=>[2,3,4,1]=>1 [4,1,3,2]=>[4,2,3,1]=>2 [4,2,1,3]=>[3,2,4,1]=>2 [4,2,3,1]=>[2,4,3,1]=>1 [4,3,1,2]=>[3,4,2,1]=>1 [4,3,2,1]=>[4,3,2,1]=>2 [1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,4]=>[5,1,2,3,4]=>4 [1,2,4,3,5]=>[4,1,2,3,5]=>3 [1,2,4,5,3]=>[3,5,1,2,4]=>3 [1,2,5,3,4]=>[4,5,1,2,3]=>3 [1,2,5,4,3]=>[5,4,1,2,3]=>3 [1,3,2,4,5]=>[3,1,2,4,5]=>2 [1,3,2,5,4]=>[2,5,1,3,4]=>3 [1,3,4,2,5]=>[2,4,1,3,5]=>2 [1,3,4,5,2]=>[2,3,5,1,4]=>2 [1,3,5,2,4]=>[2,4,5,1,3]=>2 [1,3,5,4,2]=>[5,2,4,1,3]=>3 [1,4,2,3,5]=>[3,4,1,2,5]=>2 [1,4,2,5,3]=>[5,3,1,2,4]=>2 [1,4,3,2,5]=>[4,3,1,2,5]=>2 [1,4,3,5,2]=>[3,2,5,1,4]=>3 [1,4,5,2,3]=>[4,2,5,1,3]=>3 [1,4,5,3,2]=>[2,5,4,1,3]=>2 [1,5,2,3,4]=>[3,4,5,1,2]=>2 [1,5,2,4,3]=>[5,3,4,1,2]=>3 [1,5,3,2,4]=>[4,3,5,1,2]=>3 [1,5,3,4,2]=>[3,5,4,1,2]=>2 [1,5,4,2,3]=>[4,5,3,1,2]=>2 [1,5,4,3,2]=>[5,4,3,1,2]=>3 [2,1,3,4,5]=>[2,1,3,4,5]=>1 [2,1,3,5,4]=>[1,5,2,3,4]=>3 [2,1,4,3,5]=>[1,4,2,3,5]=>2 [2,1,4,5,3]=>[1,3,5,2,4]=>2 [2,1,5,3,4]=>[1,4,5,2,3]=>2 [2,1,5,4,3]=>[5,1,4,2,3]=>3 [2,3,1,4,5]=>[1,3,2,4,5]=>1 [2,3,1,5,4]=>[1,2,5,3,4]=>2 [2,3,4,1,5]=>[1,2,4,3,5]=>1 [2,3,4,5,1]=>[1,2,3,5,4]=>1 [2,3,5,1,4]=>[1,2,4,5,3]=>1 [2,3,5,4,1]=>[5,1,2,4,3]=>3 [2,4,1,3,5]=>[1,3,4,2,5]=>1 [2,4,1,5,3]=>[5,1,3,2,4]=>2 [2,4,3,1,5]=>[4,1,3,2,5]=>2 [2,4,3,5,1]=>[3,1,2,5,4]=>3 [2,4,5,1,3]=>[4,1,2,5,3]=>3 [2,4,5,3,1]=>[2,5,1,4,3]=>2 [2,5,1,3,4]=>[1,3,4,5,2]=>1 [2,5,1,4,3]=>[5,1,3,4,2]=>3 [2,5,3,1,4]=>[4,1,3,5,2]=>3 [2,5,3,4,1]=>[3,5,1,4,2]=>2 [2,5,4,1,3]=>[4,5,1,3,2]=>2 [2,5,4,3,1]=>[5,4,1,3,2]=>2 [3,1,2,4,5]=>[2,3,1,4,5]=>1 [3,1,2,5,4]=>[5,2,1,3,4]=>1 [3,1,4,2,5]=>[4,2,1,3,5]=>1 [3,1,4,5,2]=>[3,1,5,2,4]=>3 [3,1,5,2,4]=>[4,1,5,2,3]=>3 [3,1,5,4,2]=>[1,5,4,2,3]=>2 [3,2,1,4,5]=>[3,2,1,4,5]=>1 [3,2,1,5,4]=>[2,1,5,3,4]=>3 [3,2,4,1,5]=>[2,1,4,3,5]=>2 [3,2,4,5,1]=>[2,1,3,5,4]=>2 [3,2,5,1,4]=>[2,1,4,5,3]=>2 [3,2,5,4,1]=>[1,5,2,4,3]=>2 [3,4,1,2,5]=>[3,1,4,2,5]=>2 [3,4,1,5,2]=>[1,5,3,2,4]=>1 [3,4,2,1,5]=>[1,4,3,2,5]=>1 [3,4,2,5,1]=>[1,3,2,5,4]=>2 [3,4,5,1,2]=>[1,4,2,5,3]=>2 [3,4,5,2,1]=>[1,2,5,4,3]=>1 [3,5,1,2,4]=>[3,1,4,5,2]=>2 [3,5,1,4,2]=>[1,5,3,4,2]=>2 [3,5,2,1,4]=>[1,4,3,5,2]=>2 [3,5,2,4,1]=>[1,3,5,4,2]=>1 [3,5,4,1,2]=>[1,4,5,3,2]=>1 [3,5,4,2,1]=>[5,1,4,3,2]=>3 [4,1,2,3,5]=>[2,3,4,1,5]=>1 [4,1,2,5,3]=>[5,2,3,1,4]=>2 [4,1,3,2,5]=>[4,2,3,1,5]=>2 [4,1,3,5,2]=>[3,5,2,1,4]=>1 [4,1,5,2,3]=>[4,5,2,1,3]=>1 [4,1,5,3,2]=>[5,4,2,1,3]=>2 [4,2,1,3,5]=>[3,2,4,1,5]=>2 [4,2,1,5,3]=>[2,5,3,1,4]=>1 [4,2,3,1,5]=>[2,4,3,1,5]=>1 [4,2,3,5,1]=>[2,3,1,5,4]=>2 [4,2,5,1,3]=>[2,4,1,5,3]=>2 [4,2,5,3,1]=>[5,2,1,4,3]=>2 [4,3,1,2,5]=>[3,4,2,1,5]=>1 [4,3,1,5,2]=>[5,3,2,1,4]=>2 [4,3,2,1,5]=>[4,3,2,1,5]=>2 [4,3,2,5,1]=>[3,2,1,5,4]=>2 [4,3,5,1,2]=>[4,2,1,5,3]=>2 [4,3,5,2,1]=>[2,1,5,4,3]=>2 [4,5,1,2,3]=>[3,4,1,5,2]=>2 [4,5,1,3,2]=>[5,3,1,4,2]=>2 [4,5,2,1,3]=>[4,3,1,5,2]=>2 [4,5,2,3,1]=>[3,1,5,4,2]=>2 [4,5,3,1,2]=>[4,1,5,3,2]=>2 [4,5,3,2,1]=>[1,5,4,3,2]=>2 [5,1,2,3,4]=>[2,3,4,5,1]=>1 [5,1,2,4,3]=>[5,2,3,4,1]=>3 [5,1,3,2,4]=>[4,2,3,5,1]=>3 [5,1,3,4,2]=>[3,5,2,4,1]=>2 [5,1,4,2,3]=>[4,5,2,3,1]=>2 [5,1,4,3,2]=>[5,4,2,3,1]=>2 [5,2,1,3,4]=>[3,2,4,5,1]=>2 [5,2,1,4,3]=>[2,5,3,4,1]=>2 [5,2,3,1,4]=>[2,4,3,5,1]=>2 [5,2,3,4,1]=>[2,3,5,4,1]=>1 [5,2,4,1,3]=>[2,4,5,3,1]=>1 [5,2,4,3,1]=>[5,2,4,3,1]=>3 [5,3,1,2,4]=>[3,4,2,5,1]=>2 [5,3,1,4,2]=>[5,3,2,4,1]=>2 [5,3,2,1,4]=>[4,3,2,5,1]=>2 [5,3,2,4,1]=>[3,2,5,4,1]=>2 [5,3,4,1,2]=>[4,2,5,3,1]=>2 [5,3,4,2,1]=>[2,5,4,3,1]=>2 [5,4,1,2,3]=>[3,4,5,2,1]=>1 [5,4,1,3,2]=>[5,3,4,2,1]=>3 [5,4,2,1,3]=>[4,3,5,2,1]=>2 [5,4,2,3,1]=>[3,5,4,2,1]=>2 [5,4,3,1,2]=>[4,5,3,2,1]=>2 [5,4,3,2,1]=>[5,4,3,2,1]=>2 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>[6,1,2,3,4,5]=>5 [1,2,3,5,4,6]=>[5,1,2,3,4,6]=>4 [1,2,3,5,6,4]=>[4,6,1,2,3,5]=>4 [1,2,3,6,4,5]=>[5,6,1,2,3,4]=>4 [1,2,3,6,5,4]=>[6,5,1,2,3,4]=>4 [1,2,4,3,5,6]=>[4,1,2,3,5,6]=>3 [1,2,4,3,6,5]=>[3,6,1,2,4,5]=>4 [1,2,4,5,3,6]=>[3,5,1,2,4,6]=>3 [1,2,4,5,6,3]=>[3,4,6,1,2,5]=>3 [1,2,4,6,3,5]=>[3,5,6,1,2,4]=>3 [1,2,4,6,5,3]=>[6,3,5,1,2,4]=>4 [1,2,5,3,4,6]=>[4,5,1,2,3,6]=>3 [1,2,5,3,6,4]=>[6,4,1,2,3,5]=>3 [1,2,5,4,3,6]=>[5,4,1,2,3,6]=>3 [1,2,5,4,6,3]=>[4,3,6,1,2,5]=>4 [1,2,5,6,3,4]=>[5,3,6,1,2,4]=>4 [1,2,5,6,4,3]=>[3,6,5,1,2,4]=>3 [1,2,6,3,4,5]=>[4,5,6,1,2,3]=>3 [1,2,6,3,5,4]=>[6,4,5,1,2,3]=>4 [1,2,6,4,3,5]=>[5,4,6,1,2,3]=>4 [1,2,6,4,5,3]=>[4,6,5,1,2,3]=>3 [1,2,6,5,3,4]=>[5,6,4,1,2,3]=>3 [1,2,6,5,4,3]=>[6,5,4,1,2,3]=>4 [1,3,2,4,5,6]=>[3,1,2,4,5,6]=>2 [1,3,2,4,6,5]=>[2,6,1,3,4,5]=>4 [1,3,2,5,4,6]=>[2,5,1,3,4,6]=>3 [1,3,2,5,6,4]=>[2,4,6,1,3,5]=>3 [1,3,2,6,4,5]=>[2,5,6,1,3,4]=>3 [1,3,2,6,5,4]=>[6,2,5,1,3,4]=>4 [1,3,4,2,5,6]=>[2,4,1,3,5,6]=>2 [1,3,4,2,6,5]=>[2,3,6,1,4,5]=>3 [1,3,4,5,2,6]=>[2,3,5,1,4,6]=>2 [1,3,4,5,6,2]=>[2,3,4,6,1,5]=>2 [1,3,4,6,2,5]=>[2,3,5,6,1,4]=>2 [1,3,4,6,5,2]=>[6,2,3,5,1,4]=>4 [1,3,5,2,4,6]=>[2,4,5,1,3,6]=>2 [1,3,5,2,6,4]=>[6,2,4,1,3,5]=>3 [1,3,5,4,2,6]=>[5,2,4,1,3,6]=>3 [1,3,5,4,6,2]=>[4,2,3,6,1,5]=>4 [1,3,5,6,2,4]=>[5,2,3,6,1,4]=>4 [1,3,5,6,4,2]=>[3,6,2,5,1,4]=>3 [1,3,6,2,4,5]=>[2,4,5,6,1,3]=>2 [1,3,6,2,5,4]=>[6,2,4,5,1,3]=>4 [1,3,6,4,2,5]=>[5,2,4,6,1,3]=>4 [1,3,6,4,5,2]=>[4,6,2,5,1,3]=>3 [1,3,6,5,2,4]=>[5,6,2,4,1,3]=>3 [1,3,6,5,4,2]=>[6,5,2,4,1,3]=>3 [1,4,2,3,5,6]=>[3,4,1,2,5,6]=>2 [1,4,2,3,6,5]=>[6,3,1,2,4,5]=>2 [1,4,2,5,3,6]=>[5,3,1,2,4,6]=>2 [1,4,2,5,6,3]=>[4,2,6,1,3,5]=>4 [1,4,2,6,3,5]=>[5,2,6,1,3,4]=>4 [1,4,2,6,5,3]=>[2,6,5,1,3,4]=>3 [1,4,3,2,5,6]=>[4,3,1,2,5,6]=>2 [1,4,3,2,6,5]=>[3,2,6,1,4,5]=>4 [1,4,3,5,2,6]=>[3,2,5,1,4,6]=>3 [1,4,3,5,6,2]=>[3,2,4,6,1,5]=>3 [1,4,3,6,2,5]=>[3,2,5,6,1,4]=>3 [1,4,3,6,5,2]=>[2,6,3,5,1,4]=>3 [1,4,5,2,3,6]=>[4,2,5,1,3,6]=>3 [1,4,5,2,6,3]=>[2,6,4,1,3,5]=>2 [1,4,5,3,2,6]=>[2,5,4,1,3,6]=>2 [1,4,5,3,6,2]=>[2,4,3,6,1,5]=>3 [1,4,5,6,2,3]=>[2,5,3,6,1,4]=>3 [1,4,5,6,3,2]=>[2,3,6,5,1,4]=>2 [1,4,6,2,3,5]=>[4,2,5,6,1,3]=>3 [1,4,6,2,5,3]=>[2,6,4,5,1,3]=>3 [1,4,6,3,2,5]=>[2,5,4,6,1,3]=>3 [1,4,6,3,5,2]=>[2,4,6,5,1,3]=>2 [1,4,6,5,2,3]=>[2,5,6,4,1,3]=>2 [1,4,6,5,3,2]=>[6,2,5,4,1,3]=>4 [1,5,2,3,4,6]=>[3,4,5,1,2,6]=>2 [1,5,2,3,6,4]=>[6,3,4,1,2,5]=>3 [1,5,2,4,3,6]=>[5,3,4,1,2,6]=>3 [1,5,2,4,6,3]=>[4,6,3,1,2,5]=>2 [1,5,2,6,3,4]=>[5,6,3,1,2,4]=>2 [1,5,2,6,4,3]=>[6,5,3,1,2,4]=>3 [1,5,3,2,4,6]=>[4,3,5,1,2,6]=>3 [1,5,3,2,6,4]=>[3,6,4,1,2,5]=>2 [1,5,3,4,2,6]=>[3,5,4,1,2,6]=>2 [1,5,3,4,6,2]=>[3,4,2,6,1,5]=>3 [1,5,3,6,2,4]=>[3,5,2,6,1,4]=>3 [1,5,3,6,4,2]=>[6,3,2,5,1,4]=>3 [1,5,4,2,3,6]=>[4,5,3,1,2,6]=>2 [1,5,4,2,6,3]=>[6,4,3,1,2,5]=>3 [1,5,4,3,2,6]=>[5,4,3,1,2,6]=>3 [1,5,4,3,6,2]=>[4,3,2,6,1,5]=>3 [1,5,4,6,2,3]=>[5,3,2,6,1,4]=>3 [1,5,4,6,3,2]=>[3,2,6,5,1,4]=>3 [1,5,6,2,3,4]=>[4,5,2,6,1,3]=>3 [1,5,6,2,4,3]=>[6,4,2,5,1,3]=>3 [1,5,6,3,2,4]=>[5,4,2,6,1,3]=>3 [1,5,6,3,4,2]=>[4,2,6,5,1,3]=>3 [1,5,6,4,2,3]=>[5,2,6,4,1,3]=>3 [1,5,6,4,3,2]=>[2,6,5,4,1,3]=>3 [1,6,2,3,4,5]=>[3,4,5,6,1,2]=>2 [1,6,2,3,5,4]=>[6,3,4,5,1,2]=>4 [1,6,2,4,3,5]=>[5,3,4,6,1,2]=>4 [1,6,2,4,5,3]=>[4,6,3,5,1,2]=>3 [1,6,2,5,3,4]=>[5,6,3,4,1,2]=>3 [1,6,2,5,4,3]=>[6,5,3,4,1,2]=>3 [1,6,3,2,4,5]=>[4,3,5,6,1,2]=>3 [1,6,3,2,5,4]=>[3,6,4,5,1,2]=>3 [1,6,3,4,2,5]=>[3,5,4,6,1,2]=>3 [1,6,3,4,5,2]=>[3,4,6,5,1,2]=>2 [1,6,3,5,2,4]=>[3,5,6,4,1,2]=>2 [1,6,3,5,4,2]=>[6,3,5,4,1,2]=>4 [1,6,4,2,3,5]=>[4,5,3,6,1,2]=>3 [1,6,4,2,5,3]=>[6,4,3,5,1,2]=>3 [1,6,4,3,2,5]=>[5,4,3,6,1,2]=>3 [1,6,4,3,5,2]=>[4,3,6,5,1,2]=>3 [1,6,4,5,2,3]=>[5,3,6,4,1,2]=>3 [1,6,4,5,3,2]=>[3,6,5,4,1,2]=>3 [1,6,5,2,3,4]=>[4,5,6,3,1,2]=>2 [1,6,5,2,4,3]=>[6,4,5,3,1,2]=>4 [1,6,5,3,2,4]=>[5,4,6,3,1,2]=>3 [1,6,5,3,4,2]=>[4,6,5,3,1,2]=>3 [1,6,5,4,2,3]=>[5,6,4,3,1,2]=>3 [1,6,5,4,3,2]=>[6,5,4,3,1,2]=>3 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1 [2,1,3,4,6,5]=>[1,6,2,3,4,5]=>4 [2,1,3,5,4,6]=>[1,5,2,3,4,6]=>3 [2,1,3,5,6,4]=>[1,4,6,2,3,5]=>3 [2,1,3,6,4,5]=>[1,5,6,2,3,4]=>3 [2,1,3,6,5,4]=>[6,1,5,2,3,4]=>4 [2,1,4,3,5,6]=>[1,4,2,3,5,6]=>2 [2,1,4,3,6,5]=>[1,3,6,2,4,5]=>3 [2,1,4,5,3,6]=>[1,3,5,2,4,6]=>2 [2,1,4,5,6,3]=>[1,3,4,6,2,5]=>2 [2,1,4,6,3,5]=>[1,3,5,6,2,4]=>2 [2,1,4,6,5,3]=>[6,1,3,5,2,4]=>4 [2,1,5,3,4,6]=>[1,4,5,2,3,6]=>2 [2,1,5,3,6,4]=>[6,1,4,2,3,5]=>3 [2,1,5,4,3,6]=>[5,1,4,2,3,6]=>3 [2,1,5,4,6,3]=>[4,1,3,6,2,5]=>4 [2,1,5,6,3,4]=>[5,1,3,6,2,4]=>4 [2,1,5,6,4,3]=>[3,6,1,5,2,4]=>3 [2,1,6,3,4,5]=>[1,4,5,6,2,3]=>2 [2,1,6,3,5,4]=>[6,1,4,5,2,3]=>4 [2,1,6,4,3,5]=>[5,1,4,6,2,3]=>4 [2,1,6,4,5,3]=>[4,6,1,5,2,3]=>3 [2,1,6,5,3,4]=>[5,6,1,4,2,3]=>3 [2,1,6,5,4,3]=>[6,5,1,4,2,3]=>3 [2,3,1,4,5,6]=>[1,3,2,4,5,6]=>1 [2,3,1,4,6,5]=>[1,2,6,3,4,5]=>3 [2,3,1,5,4,6]=>[1,2,5,3,4,6]=>2 [2,3,1,5,6,4]=>[1,2,4,6,3,5]=>2 [2,3,1,6,4,5]=>[1,2,5,6,3,4]=>2 [2,3,1,6,5,4]=>[6,1,2,5,3,4]=>4 [2,3,4,1,5,6]=>[1,2,4,3,5,6]=>1 [2,3,4,1,6,5]=>[1,2,3,6,4,5]=>2 [2,3,4,5,1,6]=>[1,2,3,5,4,6]=>1 [2,3,4,5,6,1]=>[1,2,3,4,6,5]=>1 [2,3,4,6,1,5]=>[1,2,3,5,6,4]=>1 [2,3,4,6,5,1]=>[6,1,2,3,5,4]=>4 [2,3,5,1,4,6]=>[1,2,4,5,3,6]=>1 [2,3,5,1,6,4]=>[6,1,2,4,3,5]=>3 [2,3,5,4,1,6]=>[5,1,2,4,3,6]=>3 [2,3,5,4,6,1]=>[4,1,2,3,6,5]=>4 [2,3,5,6,1,4]=>[5,1,2,3,6,4]=>4 [2,3,5,6,4,1]=>[3,6,1,2,5,4]=>3 [2,3,6,1,4,5]=>[1,2,4,5,6,3]=>1 [2,3,6,1,5,4]=>[6,1,2,4,5,3]=>4 [2,3,6,4,1,5]=>[5,1,2,4,6,3]=>4 [2,3,6,4,5,1]=>[4,6,1,2,5,3]=>3 [2,3,6,5,1,4]=>[5,6,1,2,4,3]=>3 [2,3,6,5,4,1]=>[6,5,1,2,4,3]=>3 [2,4,1,3,5,6]=>[1,3,4,2,5,6]=>1 [2,4,1,3,6,5]=>[6,1,3,2,4,5]=>2 [2,4,1,5,3,6]=>[5,1,3,2,4,6]=>2 [2,4,1,5,6,3]=>[4,1,2,6,3,5]=>4 [2,4,1,6,3,5]=>[5,1,2,6,3,4]=>4 [2,4,1,6,5,3]=>[2,6,1,5,3,4]=>3 [2,4,3,1,5,6]=>[4,1,3,2,5,6]=>2 [2,4,3,1,6,5]=>[3,1,2,6,4,5]=>4 [2,4,3,5,1,6]=>[3,1,2,5,4,6]=>3 [2,4,3,5,6,1]=>[3,1,2,4,6,5]=>3 [2,4,3,6,1,5]=>[3,1,2,5,6,4]=>3 [2,4,3,6,5,1]=>[2,6,1,3,5,4]=>3 [2,4,5,1,3,6]=>[4,1,2,5,3,6]=>3 [2,4,5,1,6,3]=>[2,6,1,4,3,5]=>2 [2,4,5,3,1,6]=>[2,5,1,4,3,6]=>2 [2,4,5,3,6,1]=>[2,4,1,3,6,5]=>3 [2,4,5,6,1,3]=>[2,5,1,3,6,4]=>3 [2,4,5,6,3,1]=>[2,3,6,1,5,4]=>2 [2,4,6,1,3,5]=>[4,1,2,5,6,3]=>3 [2,4,6,1,5,3]=>[2,6,1,4,5,3]=>3 [2,4,6,3,1,5]=>[2,5,1,4,6,3]=>3 [2,4,6,3,5,1]=>[2,4,6,1,5,3]=>2 [2,4,6,5,1,3]=>[2,5,6,1,4,3]=>2 [2,4,6,5,3,1]=>[6,2,5,1,4,3]=>3 [2,5,1,3,4,6]=>[1,3,4,5,2,6]=>1 [2,5,1,3,6,4]=>[6,1,3,4,2,5]=>3 [2,5,1,4,3,6]=>[5,1,3,4,2,6]=>3 [2,5,1,4,6,3]=>[4,6,1,3,2,5]=>2 [2,5,1,6,3,4]=>[5,6,1,3,2,4]=>2 [2,5,1,6,4,3]=>[6,5,1,3,2,4]=>2 [2,5,3,1,4,6]=>[4,1,3,5,2,6]=>3 [2,5,3,1,6,4]=>[3,6,1,4,2,5]=>2 [2,5,3,4,1,6]=>[3,5,1,4,2,6]=>2 [2,5,3,4,6,1]=>[3,4,1,2,6,5]=>3 [2,5,3,6,1,4]=>[3,5,1,2,6,4]=>3 [2,5,3,6,4,1]=>[6,3,1,2,5,4]=>3 [2,5,4,1,3,6]=>[4,5,1,3,2,6]=>2 [2,5,4,1,6,3]=>[6,4,1,3,2,5]=>2 [2,5,4,3,1,6]=>[5,4,1,3,2,6]=>2 [2,5,4,3,6,1]=>[4,3,1,2,6,5]=>3 [2,5,4,6,1,3]=>[5,3,1,2,6,4]=>3 [2,5,4,6,3,1]=>[3,2,6,1,5,4]=>3 [2,5,6,1,3,4]=>[4,5,1,2,6,3]=>3 [2,5,6,1,4,3]=>[6,4,1,2,5,3]=>3 [2,5,6,3,1,4]=>[5,4,1,2,6,3]=>3 [2,5,6,3,4,1]=>[4,2,6,1,5,3]=>3 [2,5,6,4,1,3]=>[5,2,6,1,4,3]=>3 [2,5,6,4,3,1]=>[2,6,5,1,4,3]=>2 [2,6,1,3,4,5]=>[1,3,4,5,6,2]=>1 [2,6,1,3,5,4]=>[6,1,3,4,5,2]=>4 [2,6,1,4,3,5]=>[5,1,3,4,6,2]=>4 [2,6,1,4,5,3]=>[4,6,1,3,5,2]=>3 [2,6,1,5,3,4]=>[5,6,1,3,4,2]=>3 [2,6,1,5,4,3]=>[6,5,1,3,4,2]=>3 [2,6,3,1,4,5]=>[4,1,3,5,6,2]=>3 [2,6,3,1,5,4]=>[3,6,1,4,5,2]=>3 [2,6,3,4,1,5]=>[3,5,1,4,6,2]=>3 [2,6,3,4,5,1]=>[3,4,6,1,5,2]=>2 [2,6,3,5,1,4]=>[3,5,6,1,4,2]=>2 [2,6,3,5,4,1]=>[6,3,5,1,4,2]=>3 [2,6,4,1,3,5]=>[4,5,1,3,6,2]=>3 [2,6,4,1,5,3]=>[6,4,1,3,5,2]=>3 [2,6,4,3,1,5]=>[5,4,1,3,6,2]=>3 [2,6,4,3,5,1]=>[4,3,6,1,5,2]=>3 [2,6,4,5,1,3]=>[5,3,6,1,4,2]=>3 [2,6,4,5,3,1]=>[3,6,5,1,4,2]=>2 [2,6,5,1,3,4]=>[4,5,6,1,3,2]=>2 [2,6,5,1,4,3]=>[6,4,5,1,3,2]=>3 [2,6,5,3,1,4]=>[5,4,6,1,3,2]=>3 [2,6,5,3,4,1]=>[4,6,5,1,3,2]=>2 [2,6,5,4,1,3]=>[5,6,4,1,3,2]=>2 [2,6,5,4,3,1]=>[6,5,4,1,3,2]=>3 [3,1,2,4,5,6]=>[2,3,1,4,5,6]=>1 [3,1,2,4,6,5]=>[6,2,1,3,4,5]=>1 [3,1,2,5,4,6]=>[5,2,1,3,4,6]=>1 [3,1,2,5,6,4]=>[4,1,6,2,3,5]=>4 [3,1,2,6,4,5]=>[5,1,6,2,3,4]=>4 [3,1,2,6,5,4]=>[1,6,5,2,3,4]=>3 [3,1,4,2,5,6]=>[4,2,1,3,5,6]=>1 [3,1,4,2,6,5]=>[3,1,6,2,4,5]=>4 [3,1,4,5,2,6]=>[3,1,5,2,4,6]=>3 [3,1,4,5,6,2]=>[3,1,4,6,2,5]=>3 [3,1,4,6,2,5]=>[3,1,5,6,2,4]=>3 [3,1,4,6,5,2]=>[1,6,3,5,2,4]=>3 [3,1,5,2,4,6]=>[4,1,5,2,3,6]=>3 [3,1,5,2,6,4]=>[1,6,4,2,3,5]=>2 [3,1,5,4,2,6]=>[1,5,4,2,3,6]=>2 [3,1,5,4,6,2]=>[1,4,3,6,2,5]=>3 [3,1,5,6,2,4]=>[1,5,3,6,2,4]=>3 [3,1,5,6,4,2]=>[1,3,6,5,2,4]=>2 [3,1,6,2,4,5]=>[4,1,5,6,2,3]=>3 [3,1,6,2,5,4]=>[1,6,4,5,2,3]=>3 [3,1,6,4,2,5]=>[1,5,4,6,2,3]=>3 [3,1,6,4,5,2]=>[1,4,6,5,2,3]=>2 [3,1,6,5,2,4]=>[1,5,6,4,2,3]=>2 [3,1,6,5,4,2]=>[6,1,5,4,2,3]=>4 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1 [3,2,1,4,6,5]=>[2,1,6,3,4,5]=>4 [3,2,1,5,4,6]=>[2,1,5,3,4,6]=>3 [3,2,1,5,6,4]=>[2,1,4,6,3,5]=>3 [3,2,1,6,4,5]=>[2,1,5,6,3,4]=>3 [3,2,1,6,5,4]=>[1,6,2,5,3,4]=>3 [3,2,4,1,5,6]=>[2,1,4,3,5,6]=>2 [3,2,4,1,6,5]=>[2,1,3,6,4,5]=>3 [3,2,4,5,1,6]=>[2,1,3,5,4,6]=>2 [3,2,4,5,6,1]=>[2,1,3,4,6,5]=>2 [3,2,4,6,1,5]=>[2,1,3,5,6,4]=>2 [3,2,4,6,5,1]=>[1,6,2,3,5,4]=>3 [3,2,5,1,4,6]=>[2,1,4,5,3,6]=>2 [3,2,5,1,6,4]=>[1,6,2,4,3,5]=>2 [3,2,5,4,1,6]=>[1,5,2,4,3,6]=>2 [3,2,5,4,6,1]=>[1,4,2,3,6,5]=>3 [3,2,5,6,1,4]=>[1,5,2,3,6,4]=>3 [3,2,5,6,4,1]=>[1,3,6,2,5,4]=>2 [3,2,6,1,4,5]=>[2,1,4,5,6,3]=>2 [3,2,6,1,5,4]=>[1,6,2,4,5,3]=>3 [3,2,6,4,1,5]=>[1,5,2,4,6,3]=>3 [3,2,6,4,5,1]=>[1,4,6,2,5,3]=>2 [3,2,6,5,1,4]=>[1,5,6,2,4,3]=>2 [3,2,6,5,4,1]=>[6,1,5,2,4,3]=>3 [3,4,1,2,5,6]=>[3,1,4,2,5,6]=>2 [3,4,1,2,6,5]=>[1,6,3,2,4,5]=>1 [3,4,1,5,2,6]=>[1,5,3,2,4,6]=>1 [3,4,1,5,6,2]=>[1,4,2,6,3,5]=>3 [3,4,1,6,2,5]=>[1,5,2,6,3,4]=>3 [3,4,1,6,5,2]=>[1,2,6,5,3,4]=>2 [3,4,2,1,5,6]=>[1,4,3,2,5,6]=>1 [3,4,2,1,6,5]=>[1,3,2,6,4,5]=>3 [3,4,2,5,1,6]=>[1,3,2,5,4,6]=>2 [3,4,2,5,6,1]=>[1,3,2,4,6,5]=>2 [3,4,2,6,1,5]=>[1,3,2,5,6,4]=>2 [3,4,2,6,5,1]=>[1,2,6,3,5,4]=>2 [3,4,5,1,2,6]=>[1,4,2,5,3,6]=>2 [3,4,5,1,6,2]=>[1,2,6,4,3,5]=>1 [3,4,5,2,1,6]=>[1,2,5,4,3,6]=>1 [3,4,5,2,6,1]=>[1,2,4,3,6,5]=>2 [3,4,5,6,1,2]=>[1,2,5,3,6,4]=>2 [3,4,5,6,2,1]=>[1,2,3,6,5,4]=>1 [3,4,6,1,2,5]=>[1,4,2,5,6,3]=>2 [3,4,6,1,5,2]=>[1,2,6,4,5,3]=>2 [3,4,6,2,1,5]=>[1,2,5,4,6,3]=>2 [3,4,6,2,5,1]=>[1,2,4,6,5,3]=>1 [3,4,6,5,1,2]=>[1,2,5,6,4,3]=>1 [3,4,6,5,2,1]=>[6,1,2,5,4,3]=>4 [3,5,1,2,4,6]=>[3,1,4,5,2,6]=>2 [3,5,1,2,6,4]=>[1,6,3,4,2,5]=>2 [3,5,1,4,2,6]=>[1,5,3,4,2,6]=>2 [3,5,1,4,6,2]=>[1,4,6,3,2,5]=>1 [3,5,1,6,2,4]=>[1,5,6,3,2,4]=>1 [3,5,1,6,4,2]=>[6,1,5,3,2,4]=>3 [3,5,2,1,4,6]=>[1,4,3,5,2,6]=>2 [3,5,2,1,6,4]=>[1,3,6,4,2,5]=>1 [3,5,2,4,1,6]=>[1,3,5,4,2,6]=>1 [3,5,2,4,6,1]=>[1,3,4,2,6,5]=>2 [3,5,2,6,1,4]=>[1,3,5,2,6,4]=>2 [3,5,2,6,4,1]=>[6,1,3,2,5,4]=>3 [3,5,4,1,2,6]=>[1,4,5,3,2,6]=>1 [3,5,4,1,6,2]=>[6,1,4,3,2,5]=>3 [3,5,4,2,1,6]=>[5,1,4,3,2,6]=>3 [3,5,4,2,6,1]=>[4,1,3,2,6,5]=>3 [3,5,4,6,1,2]=>[5,1,3,2,6,4]=>3 [3,5,4,6,2,1]=>[3,1,2,6,5,4]=>3 [3,5,6,1,2,4]=>[1,4,5,2,6,3]=>2 [3,5,6,1,4,2]=>[6,1,4,2,5,3]=>3 [3,5,6,2,1,4]=>[5,1,4,2,6,3]=>3 [3,5,6,2,4,1]=>[4,1,2,6,5,3]=>3 [3,5,6,4,1,2]=>[5,1,2,6,4,3]=>3 [3,5,6,4,2,1]=>[2,6,1,5,4,3]=>3 [3,6,1,2,4,5]=>[3,1,4,5,6,2]=>2 [3,6,1,2,5,4]=>[1,6,3,4,5,2]=>3 [3,6,1,4,2,5]=>[1,5,3,4,6,2]=>3 [3,6,1,4,5,2]=>[1,4,6,3,5,2]=>2 [3,6,1,5,2,4]=>[1,5,6,3,4,2]=>2 [3,6,1,5,4,2]=>[6,1,5,3,4,2]=>3 [3,6,2,1,4,5]=>[1,4,3,5,6,2]=>2 [3,6,2,1,5,4]=>[1,3,6,4,5,2]=>2 [3,6,2,4,1,5]=>[1,3,5,4,6,2]=>2 [3,6,2,4,5,1]=>[1,3,4,6,5,2]=>1 [3,6,2,5,1,4]=>[1,3,5,6,4,2]=>1 [3,6,2,5,4,1]=>[6,1,3,5,4,2]=>4 [3,6,4,1,2,5]=>[1,4,5,3,6,2]=>2 [3,6,4,1,5,2]=>[6,1,4,3,5,2]=>3 [3,6,4,2,1,5]=>[5,1,4,3,6,2]=>3 [3,6,4,2,5,1]=>[4,1,3,6,5,2]=>3 [3,6,4,5,1,2]=>[5,1,3,6,4,2]=>3 [3,6,4,5,2,1]=>[3,6,1,5,4,2]=>3 [3,6,5,1,2,4]=>[1,4,5,6,3,2]=>1 [3,6,5,1,4,2]=>[6,1,4,5,3,2]=>4 [3,6,5,2,1,4]=>[5,1,4,6,3,2]=>3 [3,6,5,2,4,1]=>[4,6,1,5,3,2]=>3 [3,6,5,4,1,2]=>[5,6,1,4,3,2]=>3 [3,6,5,4,2,1]=>[6,5,1,4,3,2]=>3 [4,1,2,3,5,6]=>[2,3,4,1,5,6]=>1 [4,1,2,3,6,5]=>[6,2,3,1,4,5]=>2 [4,1,2,5,3,6]=>[5,2,3,1,4,6]=>2 [4,1,2,5,6,3]=>[4,6,2,1,3,5]=>1 [4,1,2,6,3,5]=>[5,6,2,1,3,4]=>1 [4,1,2,6,5,3]=>[6,5,2,1,3,4]=>2 [4,1,3,2,5,6]=>[4,2,3,1,5,6]=>2 [4,1,3,2,6,5]=>[3,6,2,1,4,5]=>1 [4,1,3,5,2,6]=>[3,5,2,1,4,6]=>1 [4,1,3,5,6,2]=>[3,4,1,6,2,5]=>3 [4,1,3,6,2,5]=>[3,5,1,6,2,4]=>3 [4,1,3,6,5,2]=>[6,3,1,5,2,4]=>3 [4,1,5,2,3,6]=>[4,5,2,1,3,6]=>1 [4,1,5,2,6,3]=>[6,4,2,1,3,5]=>2 [4,1,5,3,2,6]=>[5,4,2,1,3,6]=>2 [4,1,5,3,6,2]=>[4,3,1,6,2,5]=>3 [4,1,5,6,2,3]=>[5,3,1,6,2,4]=>3 [4,1,5,6,3,2]=>[3,1,6,5,2,4]=>3 [4,1,6,2,3,5]=>[4,5,1,6,2,3]=>3 [4,1,6,2,5,3]=>[6,4,1,5,2,3]=>3 [4,1,6,3,2,5]=>[5,4,1,6,2,3]=>3 [4,1,6,3,5,2]=>[4,1,6,5,2,3]=>3 [4,1,6,5,2,3]=>[5,1,6,4,2,3]=>3 [4,1,6,5,3,2]=>[1,6,5,4,2,3]=>3 [4,2,1,3,5,6]=>[3,2,4,1,5,6]=>2 [4,2,1,3,6,5]=>[2,6,3,1,4,5]=>1 [4,2,1,5,3,6]=>[2,5,3,1,4,6]=>1 [4,2,1,5,6,3]=>[2,4,1,6,3,5]=>3 [4,2,1,6,3,5]=>[2,5,1,6,3,4]=>3 [4,2,1,6,5,3]=>[6,2,1,5,3,4]=>3 [4,2,3,1,5,6]=>[2,4,3,1,5,6]=>1 [4,2,3,1,6,5]=>[2,3,1,6,4,5]=>3 [4,2,3,5,1,6]=>[2,3,1,5,4,6]=>2 [4,2,3,5,6,1]=>[2,3,1,4,6,5]=>2 [4,2,3,6,1,5]=>[2,3,1,5,6,4]=>2 [4,2,3,6,5,1]=>[6,2,1,3,5,4]=>2 [4,2,5,1,3,6]=>[2,4,1,5,3,6]=>2 [4,2,5,1,6,3]=>[6,2,1,4,3,5]=>2 [4,2,5,3,1,6]=>[5,2,1,4,3,6]=>2 [4,2,5,3,6,1]=>[4,2,1,3,6,5]=>2 [4,2,5,6,1,3]=>[5,2,1,3,6,4]=>2 [4,2,5,6,3,1]=>[3,1,6,2,5,4]=>3 [4,2,6,1,3,5]=>[2,4,1,5,6,3]=>2 [4,2,6,1,5,3]=>[6,2,1,4,5,3]=>2 [4,2,6,3,1,5]=>[5,2,1,4,6,3]=>2 [4,2,6,3,5,1]=>[4,1,6,2,5,3]=>3 [4,2,6,5,1,3]=>[5,1,6,2,4,3]=>3 [4,2,6,5,3,1]=>[1,6,5,2,4,3]=>2 [4,3,1,2,5,6]=>[3,4,2,1,5,6]=>1 [4,3,1,2,6,5]=>[6,3,2,1,4,5]=>2 [4,3,1,5,2,6]=>[5,3,2,1,4,6]=>2 [4,3,1,5,6,2]=>[4,2,1,6,3,5]=>3 [4,3,1,6,2,5]=>[5,2,1,6,3,4]=>3 [4,3,1,6,5,2]=>[2,1,6,5,3,4]=>3 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>2 [4,3,2,1,6,5]=>[3,2,1,6,4,5]=>3 [4,3,2,5,1,6]=>[3,2,1,5,4,6]=>2 [4,3,2,5,6,1]=>[3,2,1,4,6,5]=>2 [4,3,2,6,1,5]=>[3,2,1,5,6,4]=>2 [4,3,2,6,5,1]=>[2,1,6,3,5,4]=>3 [4,3,5,1,2,6]=>[4,2,1,5,3,6]=>2 [4,3,5,1,6,2]=>[2,1,6,4,3,5]=>2 [4,3,5,2,1,6]=>[2,1,5,4,3,6]=>2 [4,3,5,2,6,1]=>[2,1,4,3,6,5]=>3 [4,3,5,6,1,2]=>[2,1,5,3,6,4]=>3 [4,3,5,6,2,1]=>[2,1,3,6,5,4]=>2 [4,3,6,1,2,5]=>[4,2,1,5,6,3]=>2 [4,3,6,1,5,2]=>[2,1,6,4,5,3]=>3 [4,3,6,2,1,5]=>[2,1,5,4,6,3]=>3 [4,3,6,2,5,1]=>[2,1,4,6,5,3]=>2 [4,3,6,5,1,2]=>[2,1,5,6,4,3]=>2 [4,3,6,5,2,1]=>[1,6,2,5,4,3]=>3 [4,5,1,2,3,6]=>[3,4,1,5,2,6]=>2 [4,5,1,2,6,3]=>[6,3,1,4,2,5]=>2 [4,5,1,3,2,6]=>[5,3,1,4,2,6]=>2 [4,5,1,3,6,2]=>[4,1,6,3,2,5]=>2 [4,5,1,6,2,3]=>[5,1,6,3,2,4]=>2 [4,5,1,6,3,2]=>[1,6,5,3,2,4]=>2 [4,5,2,1,3,6]=>[4,3,1,5,2,6]=>2 [4,5,2,1,6,3]=>[3,1,6,4,2,5]=>2 [4,5,2,3,1,6]=>[3,1,5,4,2,6]=>2 [4,5,2,3,6,1]=>[3,1,4,2,6,5]=>3 [4,5,2,6,1,3]=>[3,1,5,2,6,4]=>3 [4,5,2,6,3,1]=>[1,6,3,2,5,4]=>2 [4,5,3,1,2,6]=>[4,1,5,3,2,6]=>2 [4,5,3,1,6,2]=>[1,6,4,3,2,5]=>2 [4,5,3,2,1,6]=>[1,5,4,3,2,6]=>2 [4,5,3,2,6,1]=>[1,4,3,2,6,5]=>2 [4,5,3,6,1,2]=>[1,5,3,2,6,4]=>2 [4,5,3,6,2,1]=>[1,3,2,6,5,4]=>2 [4,5,6,1,2,3]=>[4,1,5,2,6,3]=>3 [4,5,6,1,3,2]=>[1,6,4,2,5,3]=>2 [4,5,6,2,1,3]=>[1,5,4,2,6,3]=>2 [4,5,6,2,3,1]=>[1,4,2,6,5,3]=>2 [4,5,6,3,1,2]=>[1,5,2,6,4,3]=>2 [4,5,6,3,2,1]=>[1,2,6,5,4,3]=>2 [4,6,1,2,3,5]=>[3,4,1,5,6,2]=>2 [4,6,1,2,5,3]=>[6,3,1,4,5,2]=>2 [4,6,1,3,2,5]=>[5,3,1,4,6,2]=>2 [4,6,1,3,5,2]=>[4,1,6,3,5,2]=>3 [4,6,1,5,2,3]=>[5,1,6,3,4,2]=>3 [4,6,1,5,3,2]=>[1,6,5,3,4,2]=>2 [4,6,2,1,3,5]=>[4,3,1,5,6,2]=>2 [4,6,2,1,5,3]=>[3,1,6,4,5,2]=>3 [4,6,2,3,1,5]=>[3,1,5,4,6,2]=>3 [4,6,2,3,5,1]=>[3,1,4,6,5,2]=>2 [4,6,2,5,1,3]=>[3,1,5,6,4,2]=>2 [4,6,2,5,3,1]=>[1,6,3,5,4,2]=>3 [4,6,3,1,2,5]=>[4,1,5,3,6,2]=>3 [4,6,3,1,5,2]=>[1,6,4,3,5,2]=>2 [4,6,3,2,1,5]=>[1,5,4,3,6,2]=>2 [4,6,3,2,5,1]=>[1,4,3,6,5,2]=>2 [4,6,3,5,1,2]=>[1,5,3,6,4,2]=>2 [4,6,3,5,2,1]=>[1,3,6,5,4,2]=>2 [4,6,5,1,2,3]=>[4,1,5,6,3,2]=>2 [4,6,5,1,3,2]=>[1,6,4,5,3,2]=>3 [4,6,5,2,1,3]=>[1,5,4,6,3,2]=>2 [4,6,5,2,3,1]=>[1,4,6,5,3,2]=>2 [4,6,5,3,1,2]=>[1,5,6,4,3,2]=>2 [4,6,5,3,2,1]=>[6,1,5,4,3,2]=>3 [5,1,2,3,4,6]=>[2,3,4,5,1,6]=>1 [5,1,2,3,6,4]=>[6,2,3,4,1,5]=>3 [5,1,2,4,3,6]=>[5,2,3,4,1,6]=>3 [5,1,2,4,6,3]=>[4,6,2,3,1,5]=>2 [5,1,2,6,3,4]=>[5,6,2,3,1,4]=>2 [5,1,2,6,4,3]=>[6,5,2,3,1,4]=>2 [5,1,3,2,4,6]=>[4,2,3,5,1,6]=>3 [5,1,3,2,6,4]=>[3,6,2,4,1,5]=>2 [5,1,3,4,2,6]=>[3,5,2,4,1,6]=>2 [5,1,3,4,6,2]=>[3,4,6,2,1,5]=>1 [5,1,3,6,2,4]=>[3,5,6,2,1,4]=>1 [5,1,3,6,4,2]=>[6,3,5,2,1,4]=>3 [5,1,4,2,3,6]=>[4,5,2,3,1,6]=>2 [5,1,4,2,6,3]=>[6,4,2,3,1,5]=>2 [5,1,4,3,2,6]=>[5,4,2,3,1,6]=>2 [5,1,4,3,6,2]=>[4,3,6,2,1,5]=>2 [5,1,4,6,2,3]=>[5,3,6,2,1,4]=>2 [5,1,4,6,3,2]=>[3,6,5,2,1,4]=>2 [5,1,6,2,3,4]=>[4,5,6,2,1,3]=>1 [5,1,6,2,4,3]=>[6,4,5,2,1,3]=>3 [5,1,6,3,2,4]=>[5,4,6,2,1,3]=>2 [5,1,6,3,4,2]=>[4,6,5,2,1,3]=>2 [5,1,6,4,2,3]=>[5,6,4,2,1,3]=>2 [5,1,6,4,3,2]=>[6,5,4,2,1,3]=>2 [5,2,1,3,4,6]=>[3,2,4,5,1,6]=>2 [5,2,1,3,6,4]=>[2,6,3,4,1,5]=>2 [5,2,1,4,3,6]=>[2,5,3,4,1,6]=>2 [5,2,1,4,6,3]=>[2,4,6,3,1,5]=>1 [5,2,1,6,3,4]=>[2,5,6,3,1,4]=>1 [5,2,1,6,4,3]=>[6,2,5,3,1,4]=>3 [5,2,3,1,4,6]=>[2,4,3,5,1,6]=>2 [5,2,3,1,6,4]=>[2,3,6,4,1,5]=>1 [5,2,3,4,1,6]=>[2,3,5,4,1,6]=>1 [5,2,3,4,6,1]=>[2,3,4,1,6,5]=>2 [5,2,3,6,1,4]=>[2,3,5,1,6,4]=>2 [5,2,3,6,4,1]=>[6,2,3,1,5,4]=>3 [5,2,4,1,3,6]=>[2,4,5,3,1,6]=>1 [5,2,4,1,6,3]=>[6,2,4,3,1,5]=>3 [5,2,4,3,1,6]=>[5,2,4,3,1,6]=>3 [5,2,4,3,6,1]=>[4,2,3,1,6,5]=>3 [5,2,4,6,1,3]=>[5,2,3,1,6,4]=>3 [5,2,4,6,3,1]=>[3,6,2,1,5,4]=>2 [5,2,6,1,3,4]=>[2,4,5,1,6,3]=>2 [5,2,6,1,4,3]=>[6,2,4,1,5,3]=>3 [5,2,6,3,1,4]=>[5,2,4,1,6,3]=>3 [5,2,6,3,4,1]=>[4,6,2,1,5,3]=>2 [5,2,6,4,1,3]=>[5,6,2,1,4,3]=>2 [5,2,6,4,3,1]=>[6,5,2,1,4,3]=>3 [5,3,1,2,4,6]=>[3,4,2,5,1,6]=>2 [5,3,1,2,6,4]=>[6,3,2,4,1,5]=>2 [5,3,1,4,2,6]=>[5,3,2,4,1,6]=>2 [5,3,1,4,6,2]=>[4,2,6,3,1,5]=>2 [5,3,1,6,2,4]=>[5,2,6,3,1,4]=>2 [5,3,1,6,4,2]=>[2,6,5,3,1,4]=>2 [5,3,2,1,4,6]=>[4,3,2,5,1,6]=>2 [5,3,2,1,6,4]=>[3,2,6,4,1,5]=>2 [5,3,2,4,1,6]=>[3,2,5,4,1,6]=>2 [5,3,2,4,6,1]=>[3,2,4,1,6,5]=>3 [5,3,2,6,1,4]=>[3,2,5,1,6,4]=>3 [5,3,2,6,4,1]=>[2,6,3,1,5,4]=>2 [5,3,4,1,2,6]=>[4,2,5,3,1,6]=>2 [5,3,4,1,6,2]=>[2,6,4,3,1,5]=>2 [5,3,4,2,1,6]=>[2,5,4,3,1,6]=>2 [5,3,4,2,6,1]=>[2,4,3,1,6,5]=>2 [5,3,4,6,1,2]=>[2,5,3,1,6,4]=>2 [5,3,4,6,2,1]=>[2,3,1,6,5,4]=>2 [5,3,6,1,2,4]=>[4,2,5,1,6,3]=>3 [5,3,6,1,4,2]=>[2,6,4,1,5,3]=>2 [5,3,6,2,1,4]=>[2,5,4,1,6,3]=>2 [5,3,6,2,4,1]=>[2,4,1,6,5,3]=>2 [5,3,6,4,1,2]=>[2,5,1,6,4,3]=>2 [5,3,6,4,2,1]=>[6,2,1,5,4,3]=>2 [5,4,1,2,3,6]=>[3,4,5,2,1,6]=>1 [5,4,1,2,6,3]=>[6,3,4,2,1,5]=>3 [5,4,1,3,2,6]=>[5,3,4,2,1,6]=>3 [5,4,1,3,6,2]=>[4,6,3,2,1,5]=>2 [5,4,1,6,2,3]=>[5,6,3,2,1,4]=>2 [5,4,1,6,3,2]=>[6,5,3,2,1,4]=>2 [5,4,2,1,3,6]=>[4,3,5,2,1,6]=>2 [5,4,2,1,6,3]=>[3,6,4,2,1,5]=>2 [5,4,2,3,1,6]=>[3,5,4,2,1,6]=>2 [5,4,2,3,6,1]=>[3,4,2,1,6,5]=>2 [5,4,2,6,1,3]=>[3,5,2,1,6,4]=>2 [5,4,2,6,3,1]=>[6,3,2,1,5,4]=>3 [5,4,3,1,2,6]=>[4,5,3,2,1,6]=>2 [5,4,3,1,6,2]=>[6,4,3,2,1,5]=>2 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>2 [5,4,3,2,6,1]=>[4,3,2,1,6,5]=>3 [5,4,3,6,1,2]=>[5,3,2,1,6,4]=>3 [5,4,3,6,2,1]=>[3,2,1,6,5,4]=>2 [5,4,6,1,2,3]=>[4,5,2,1,6,3]=>2 [5,4,6,1,3,2]=>[6,4,2,1,5,3]=>3 [5,4,6,2,1,3]=>[5,4,2,1,6,3]=>3 [5,4,6,2,3,1]=>[4,2,1,6,5,3]=>2 [5,4,6,3,1,2]=>[5,2,1,6,4,3]=>2 [5,4,6,3,2,1]=>[2,1,6,5,4,3]=>3 [5,6,1,2,3,4]=>[3,4,5,1,6,2]=>2 [5,6,1,2,4,3]=>[6,3,4,1,5,2]=>3 [5,6,1,3,2,4]=>[5,3,4,1,6,2]=>3 [5,6,1,3,4,2]=>[4,6,3,1,5,2]=>2 [5,6,1,4,2,3]=>[5,6,3,1,4,2]=>2 [5,6,1,4,3,2]=>[6,5,3,1,4,2]=>3 [5,6,2,1,3,4]=>[4,3,5,1,6,2]=>3 [5,6,2,1,4,3]=>[3,6,4,1,5,2]=>2 [5,6,2,3,1,4]=>[3,5,4,1,6,2]=>2 [5,6,2,3,4,1]=>[3,4,1,6,5,2]=>2 [5,6,2,4,1,3]=>[3,5,1,6,4,2]=>2 [5,6,2,4,3,1]=>[6,3,1,5,4,2]=>2 [5,6,3,1,2,4]=>[4,5,3,1,6,2]=>2 [5,6,3,1,4,2]=>[6,4,3,1,5,2]=>3 [5,6,3,2,1,4]=>[5,4,3,1,6,2]=>3 [5,6,3,2,4,1]=>[4,3,1,6,5,2]=>2 [5,6,3,4,1,2]=>[5,3,1,6,4,2]=>2 [5,6,3,4,2,1]=>[3,1,6,5,4,2]=>3 [5,6,4,1,2,3]=>[4,5,1,6,3,2]=>2 [5,6,4,1,3,2]=>[6,4,1,5,3,2]=>2 [5,6,4,2,1,3]=>[5,4,1,6,3,2]=>2 [5,6,4,2,3,1]=>[4,1,6,5,3,2]=>3 [5,6,4,3,1,2]=>[5,1,6,4,3,2]=>3 [5,6,4,3,2,1]=>[1,6,5,4,3,2]=>2 [6,1,2,3,4,5]=>[2,3,4,5,6,1]=>1 [6,1,2,3,5,4]=>[6,2,3,4,5,1]=>4 [6,1,2,4,3,5]=>[5,2,3,4,6,1]=>4 [6,1,2,4,5,3]=>[4,6,2,3,5,1]=>3 [6,1,2,5,3,4]=>[5,6,2,3,4,1]=>3 [6,1,2,5,4,3]=>[6,5,2,3,4,1]=>3 [6,1,3,2,4,5]=>[4,2,3,5,6,1]=>3 [6,1,3,2,5,4]=>[3,6,2,4,5,1]=>3 [6,1,3,4,2,5]=>[3,5,2,4,6,1]=>3 [6,1,3,4,5,2]=>[3,4,6,2,5,1]=>2 [6,1,3,5,2,4]=>[3,5,6,2,4,1]=>2 [6,1,3,5,4,2]=>[6,3,5,2,4,1]=>3 [6,1,4,2,3,5]=>[4,5,2,3,6,1]=>3 [6,1,4,2,5,3]=>[6,4,2,3,5,1]=>3 [6,1,4,3,2,5]=>[5,4,2,3,6,1]=>3 [6,1,4,3,5,2]=>[4,3,6,2,5,1]=>3 [6,1,4,5,2,3]=>[5,3,6,2,4,1]=>3 [6,1,4,5,3,2]=>[3,6,5,2,4,1]=>2 [6,1,5,2,3,4]=>[4,5,6,2,3,1]=>2 [6,1,5,2,4,3]=>[6,4,5,2,3,1]=>3 [6,1,5,3,2,4]=>[5,4,6,2,3,1]=>3 [6,1,5,3,4,2]=>[4,6,5,2,3,1]=>2 [6,1,5,4,2,3]=>[5,6,4,2,3,1]=>2 [6,1,5,4,3,2]=>[6,5,4,2,3,1]=>3 [6,2,1,3,4,5]=>[3,2,4,5,6,1]=>2 [6,2,1,3,5,4]=>[2,6,3,4,5,1]=>3 [6,2,1,4,3,5]=>[2,5,3,4,6,1]=>3 [6,2,1,4,5,3]=>[2,4,6,3,5,1]=>2 [6,2,1,5,3,4]=>[2,5,6,3,4,1]=>2 [6,2,1,5,4,3]=>[6,2,5,3,4,1]=>3 [6,2,3,1,4,5]=>[2,4,3,5,6,1]=>2 [6,2,3,1,5,4]=>[2,3,6,4,5,1]=>2 [6,2,3,4,1,5]=>[2,3,5,4,6,1]=>2 [6,2,3,4,5,1]=>[2,3,4,6,5,1]=>1 [6,2,3,5,1,4]=>[2,3,5,6,4,1]=>1 [6,2,3,5,4,1]=>[6,2,3,5,4,1]=>4 [6,2,4,1,3,5]=>[2,4,5,3,6,1]=>2 [6,2,4,1,5,3]=>[6,2,4,3,5,1]=>3 [6,2,4,3,1,5]=>[5,2,4,3,6,1]=>3 [6,2,4,3,5,1]=>[4,2,3,6,5,1]=>3 [6,2,4,5,1,3]=>[5,2,3,6,4,1]=>3 [6,2,4,5,3,1]=>[3,6,2,5,4,1]=>3 [6,2,5,1,3,4]=>[2,4,5,6,3,1]=>1 [6,2,5,1,4,3]=>[6,2,4,5,3,1]=>4 [6,2,5,3,1,4]=>[5,2,4,6,3,1]=>3 [6,2,5,3,4,1]=>[4,6,2,5,3,1]=>3 [6,2,5,4,1,3]=>[5,6,2,4,3,1]=>3 [6,2,5,4,3,1]=>[6,5,2,4,3,1]=>3 [6,3,1,2,4,5]=>[3,4,2,5,6,1]=>2 [6,3,1,2,5,4]=>[6,3,2,4,5,1]=>2 [6,3,1,4,2,5]=>[5,3,2,4,6,1]=>2 [6,3,1,4,5,2]=>[4,2,6,3,5,1]=>3 [6,3,1,5,2,4]=>[5,2,6,3,4,1]=>3 [6,3,1,5,4,2]=>[2,6,5,3,4,1]=>2 [6,3,2,1,4,5]=>[4,3,2,5,6,1]=>2 [6,3,2,1,5,4]=>[3,2,6,4,5,1]=>3 [6,3,2,4,1,5]=>[3,2,5,4,6,1]=>3 [6,3,2,4,5,1]=>[3,2,4,6,5,1]=>2 [6,3,2,5,1,4]=>[3,2,5,6,4,1]=>2 [6,3,2,5,4,1]=>[2,6,3,5,4,1]=>3 [6,3,4,1,2,5]=>[4,2,5,3,6,1]=>3 [6,3,4,1,5,2]=>[2,6,4,3,5,1]=>2 [6,3,4,2,1,5]=>[2,5,4,3,6,1]=>2 [6,3,4,2,5,1]=>[2,4,3,6,5,1]=>2 [6,3,4,5,1,2]=>[2,5,3,6,4,1]=>2 [6,3,4,5,2,1]=>[2,3,6,5,4,1]=>2 [6,3,5,1,2,4]=>[4,2,5,6,3,1]=>2 [6,3,5,1,4,2]=>[2,6,4,5,3,1]=>3 [6,3,5,2,1,4]=>[2,5,4,6,3,1]=>2 [6,3,5,2,4,1]=>[2,4,6,5,3,1]=>2 [6,3,5,4,1,2]=>[2,5,6,4,3,1]=>2 [6,3,5,4,2,1]=>[6,2,5,4,3,1]=>3 [6,4,1,2,3,5]=>[3,4,5,2,6,1]=>2 [6,4,1,2,5,3]=>[6,3,4,2,5,1]=>3 [6,4,1,3,2,5]=>[5,3,4,2,6,1]=>3 [6,4,1,3,5,2]=>[4,6,3,2,5,1]=>2 [6,4,1,5,2,3]=>[5,6,3,2,4,1]=>2 [6,4,1,5,3,2]=>[6,5,3,2,4,1]=>3 [6,4,2,1,3,5]=>[4,3,5,2,6,1]=>3 [6,4,2,1,5,3]=>[3,6,4,2,5,1]=>2 [6,4,2,3,1,5]=>[3,5,4,2,6,1]=>2 [6,4,2,3,5,1]=>[3,4,2,6,5,1]=>2 [6,4,2,5,1,3]=>[3,5,2,6,4,1]=>2 [6,4,2,5,3,1]=>[6,3,2,5,4,1]=>2 [6,4,3,1,2,5]=>[4,5,3,2,6,1]=>2 [6,4,3,1,5,2]=>[6,4,3,2,5,1]=>3 [6,4,3,2,1,5]=>[5,4,3,2,6,1]=>3 [6,4,3,2,5,1]=>[4,3,2,6,5,1]=>2 [6,4,3,5,1,2]=>[5,3,2,6,4,1]=>2 [6,4,3,5,2,1]=>[3,2,6,5,4,1]=>3 [6,4,5,1,2,3]=>[4,5,2,6,3,1]=>2 [6,4,5,1,3,2]=>[6,4,2,5,3,1]=>2 [6,4,5,2,1,3]=>[5,4,2,6,3,1]=>2 [6,4,5,2,3,1]=>[4,2,6,5,3,1]=>3 [6,4,5,3,1,2]=>[5,2,6,4,3,1]=>3 [6,4,5,3,2,1]=>[2,6,5,4,3,1]=>2 [6,5,1,2,3,4]=>[3,4,5,6,2,1]=>1 [6,5,1,2,4,3]=>[6,3,4,5,2,1]=>4 [6,5,1,3,2,4]=>[5,3,4,6,2,1]=>3 [6,5,1,3,4,2]=>[4,6,3,5,2,1]=>3 [6,5,1,4,2,3]=>[5,6,3,4,2,1]=>3 [6,5,1,4,3,2]=>[6,5,3,4,2,1]=>3 [6,5,2,1,3,4]=>[4,3,5,6,2,1]=>2 [6,5,2,1,4,3]=>[3,6,4,5,2,1]=>3 [6,5,2,3,1,4]=>[3,5,4,6,2,1]=>2 [6,5,2,3,4,1]=>[3,4,6,5,2,1]=>2 [6,5,2,4,1,3]=>[3,5,6,4,2,1]=>2 [6,5,2,4,3,1]=>[6,3,5,4,2,1]=>3 [6,5,3,1,2,4]=>[4,5,3,6,2,1]=>2 [6,5,3,1,4,2]=>[6,4,3,5,2,1]=>2 [6,5,3,2,1,4]=>[5,4,3,6,2,1]=>2 [6,5,3,2,4,1]=>[4,3,6,5,2,1]=>3 [6,5,3,4,1,2]=>[5,3,6,4,2,1]=>3 [6,5,3,4,2,1]=>[3,6,5,4,2,1]=>2 [6,5,4,1,2,3]=>[4,5,6,3,2,1]=>2 [6,5,4,1,3,2]=>[6,4,5,3,2,1]=>3 [6,5,4,2,1,3]=>[5,4,6,3,2,1]=>3 [6,5,4,2,3,1]=>[4,6,5,3,2,1]=>2 [6,5,4,3,1,2]=>[5,6,4,3,2,1]=>2 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>3 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>6 [1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>5 [1,2,3,4,7,5,6]=>[6,7,1,2,3,4,5]=>5 [1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>5 [1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>4 [1,2,3,5,6,4,7]=>[4,6,1,2,3,5,7]=>4 [1,2,3,6,4,5,7]=>[5,6,1,2,3,4,7]=>4 [1,2,3,6,4,7,5]=>[7,5,1,2,3,4,6]=>4 [1,2,3,7,4,5,6]=>[5,6,7,1,2,3,4]=>4 [1,2,3,7,4,6,5]=>[7,5,6,1,2,3,4]=>5 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>5 [1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>3 [1,2,4,3,6,5,7]=>[3,6,1,2,4,5,7]=>4 [1,2,4,6,3,5,7]=>[3,5,6,1,2,4,7]=>3 [1,2,4,6,7,3,5]=>[6,3,4,7,1,2,5]=>5 [1,2,5,3,4,7,6]=>[7,4,1,2,3,5,6]=>3 [1,2,5,7,3,4,6]=>[5,3,6,7,1,2,4]=>4 [1,2,6,3,4,5,7]=>[4,5,6,1,2,3,7]=>3 [1,2,7,3,4,6,5]=>[7,4,5,6,1,2,3]=>5 [1,2,7,3,5,4,6]=>[6,4,5,7,1,2,3]=>5 [1,2,7,3,6,4,5]=>[6,7,4,5,1,2,3]=>4 [1,2,7,3,6,5,4]=>[7,6,4,5,1,2,3]=>4 [1,2,7,4,3,5,6]=>[5,4,6,7,1,2,3]=>4 [1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>4 [1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>2 [1,3,2,4,5,7,6]=>[2,7,1,3,4,5,6]=>5 [1,3,2,4,6,5,7]=>[2,6,1,3,4,5,7]=>4 [1,3,2,4,6,7,5]=>[2,5,7,1,3,4,6]=>4 [1,3,2,4,7,5,6]=>[2,6,7,1,3,4,5]=>4 [1,3,2,5,4,6,7]=>[2,5,1,3,4,6,7]=>3 [1,3,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>2 [1,3,4,5,2,7,6]=>[2,3,4,7,1,5,6]=>3 [1,3,4,5,6,7,2]=>[2,3,4,5,7,1,6]=>2 [1,3,4,5,7,2,6]=>[2,3,4,6,7,1,5]=>2 [1,3,4,7,2,5,6]=>[2,3,5,6,7,1,4]=>2 [1,3,7,5,6,2,4]=>[6,4,7,2,5,1,3]=>4 [1,4,2,3,5,6,7]=>[3,4,1,2,5,6,7]=>2 [1,4,2,3,5,7,6]=>[7,3,1,2,4,5,6]=>2 [1,4,2,7,3,5,6]=>[5,2,6,7,1,3,4]=>4 [1,4,5,2,3,6,7]=>[4,2,5,1,3,6,7]=>3 [1,5,2,3,4,7,6]=>[7,3,4,1,2,5,6]=>3 [1,5,4,6,2,3,7]=>[5,3,2,6,1,4,7]=>3 [1,6,2,3,7,4,5]=>[6,7,3,4,1,2,5]=>3 [1,6,2,5,3,4,7]=>[5,6,3,4,1,2,7]=>3 [1,6,5,4,7,2,3]=>[6,4,3,2,7,1,5]=>4 [1,7,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>2 [1,7,2,5,6,3,4]=>[6,4,7,3,5,1,2]=>4 [1,7,2,6,3,5,4]=>[7,5,6,3,4,1,2]=>4 [1,7,2,6,4,3,5]=>[6,5,7,3,4,1,2]=>4 [1,7,2,6,5,4,3]=>[7,6,5,3,4,1,2]=>4 [1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>4 [2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>1 [2,1,3,4,5,7,6]=>[1,7,2,3,4,5,6]=>5 [2,1,3,4,6,7,5]=>[1,5,7,2,3,4,6]=>4 [2,1,3,4,7,5,6]=>[1,6,7,2,3,4,5]=>4 [2,1,3,5,4,7,6]=>[1,4,7,2,3,5,6]=>4 [2,1,3,5,7,4,6]=>[1,4,6,7,2,3,5]=>3 [2,1,3,7,4,5,6]=>[1,5,6,7,2,3,4]=>3 [2,1,4,3,5,7,6]=>[1,3,7,2,4,5,6]=>4 [2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>1 [2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>1 [2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>1 [2,3,4,6,5,7,1]=>[5,1,2,3,4,7,6]=>5 [2,3,4,6,7,1,5]=>[6,1,2,3,4,7,5]=>5 [2,3,5,1,6,7,4]=>[5,1,2,3,7,4,6]=>5 [2,3,5,1,7,4,6]=>[6,1,2,3,7,4,5]=>5 [2,3,5,4,6,7,1]=>[4,1,2,3,5,7,6]=>4 [2,3,5,6,1,4,7]=>[5,1,2,3,6,4,7]=>4 [2,3,5,7,1,4,6]=>[5,1,2,3,6,7,4]=>4 [2,3,6,4,7,1,5]=>[4,6,1,2,3,7,5]=>4 [2,3,6,7,1,4,5]=>[5,6,1,2,3,7,4]=>4 [2,4,1,3,7,5,6]=>[6,1,2,7,3,4,5]=>5 [2,4,1,6,3,5,7]=>[5,1,2,6,3,4,7]=>4 [2,4,3,5,6,7,1]=>[3,1,2,4,5,7,6]=>3 [3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>1 [3,1,2,4,5,7,6]=>[7,2,1,3,4,5,6]=>1 [3,1,2,5,6,4,7]=>[4,1,6,2,3,5,7]=>4 [3,1,2,6,4,5,7]=>[5,1,6,2,3,4,7]=>4 [3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1 [3,2,1,4,5,7,6]=>[2,1,7,3,4,5,6]=>5 [3,2,1,4,6,5,7]=>[2,1,6,3,4,5,7]=>4 [3,2,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>4 [3,2,4,5,1,7,6]=>[2,1,3,4,7,5,6]=>3 [3,2,4,6,5,7,1]=>[1,5,2,3,4,7,6]=>4 [3,2,4,6,7,1,5]=>[1,6,2,3,4,7,5]=>4 [3,2,5,1,7,4,6]=>[1,6,2,3,7,4,5]=>4 [3,4,1,2,6,7,5]=>[1,5,2,7,3,4,6]=>4 [3,4,1,2,7,5,6]=>[1,6,2,7,3,4,5]=>4 [3,4,2,6,7,1,5]=>[1,2,6,3,4,7,5]=>3 [3,4,5,6,7,1,2]=>[1,2,3,6,4,7,5]=>2 [3,5,1,7,2,4,6]=>[1,5,6,2,7,3,4]=>3 [4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>1 [4,1,2,3,5,7,6]=>[7,2,3,1,4,5,6]=>2 [4,1,5,2,3,7,6]=>[7,4,2,1,3,5,6]=>2 [4,1,6,2,3,5,7]=>[4,5,1,6,2,3,7]=>3 [4,2,1,3,7,5,6]=>[2,6,1,7,3,4,5]=>4 [4,2,6,7,1,3,5]=>[5,1,6,2,3,7,4]=>4 [4,3,1,2,5,7,6]=>[7,3,2,1,4,5,6]=>2 [4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>2 [4,7,2,6,1,5,3]=>[1,7,3,5,6,4,2]=>4 [4,7,5,1,2,6,3]=>[1,7,4,5,3,6,2]=>3 [4,7,6,1,2,5,3]=>[1,7,4,5,6,3,2]=>4 [4,7,6,2,5,1,3]=>[1,4,6,7,5,3,2]=>2 [4,7,6,3,1,2,5]=>[1,5,6,4,7,3,2]=>2 [4,7,6,5,1,2,3]=>[1,5,6,7,4,3,2]=>2 [5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>1 [5,1,2,3,4,7,6]=>[7,2,3,4,1,5,6]=>3 [5,2,3,4,6,7,1]=>[2,3,4,1,5,7,6]=>2 [5,3,1,2,4,7,6]=>[7,3,2,4,1,5,6]=>2 [5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>2 [5,7,3,6,4,2,1]=>[1,7,3,6,5,4,2]=>3 [5,7,4,2,6,3,1]=>[1,7,4,3,6,5,2]=>2 [5,7,4,3,1,6,2]=>[1,7,5,4,3,6,2]=>3 [5,7,4,3,2,1,6]=>[1,6,5,4,3,7,2]=>3 [5,7,4,6,3,2,1]=>[1,3,7,6,5,4,2]=>2 [5,7,6,1,4,3,2]=>[1,7,6,4,5,3,2]=>3 [5,7,6,2,4,3,1]=>[1,7,4,6,5,3,2]=>3 [5,7,6,3,1,4,2]=>[1,7,5,4,6,3,2]=>2 [5,7,6,3,2,1,4]=>[1,6,5,4,7,3,2]=>2 [5,7,6,3,2,4,1]=>[1,5,4,7,6,3,2]=>3 [5,7,6,3,4,2,1]=>[1,4,7,6,5,3,2]=>2 [5,7,6,4,2,1,3]=>[1,6,5,7,4,3,2]=>3 [5,7,6,4,2,3,1]=>[1,5,7,6,4,3,2]=>2 [5,7,6,4,3,1,2]=>[1,6,7,5,4,3,2]=>2 [6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>1 [6,1,2,3,4,7,5]=>[7,2,3,4,5,1,6]=>4 [6,2,3,4,5,7,1]=>[2,3,4,5,1,7,6]=>2 [6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>2 [6,2,5,1,4,3,7]=>[6,2,4,5,3,1,7]=>4 [6,3,5,4,2,1,7]=>[6,2,5,4,3,1,7]=>3 [6,4,1,2,5,3,7]=>[6,3,4,2,5,1,7]=>3 [6,4,2,5,3,1,7]=>[6,3,2,5,4,1,7]=>2 [6,4,3,1,5,2,7]=>[6,4,3,2,5,1,7]=>3 [6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>3 [6,4,5,3,2,1,7]=>[2,6,5,4,3,1,7]=>2 [6,5,1,2,4,3,7]=>[6,3,4,5,2,1,7]=>4 [6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>3 [6,5,2,4,1,3,7]=>[3,5,6,4,2,1,7]=>2 [6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]=>3 [6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>2 [6,5,3,1,4,2,7]=>[6,4,3,5,2,1,7]=>2 [6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>2 [6,5,3,2,4,1,7]=>[4,3,6,5,2,1,7]=>3 [6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>2 [6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>2 [6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>3 [6,5,4,2,3,1,7]=>[4,6,5,3,2,1,7]=>2 [6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>2 [6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>3 [6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>3 [6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>3 [6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>3 [7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>1 [7,1,2,3,5,4,6]=>[6,2,3,4,5,7,1]=>5 [7,1,2,4,3,5,6]=>[5,2,3,4,6,7,1]=>4 [7,1,3,2,4,5,6]=>[4,2,3,5,6,7,1]=>3 [7,1,4,2,3,5,6]=>[4,5,2,3,6,7,1]=>3 [7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>2 [7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>2 [7,3,1,4,2,5,6]=>[5,3,2,4,6,7,1]=>2 [7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>2 [7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>2 [7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>3 [7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>2 [7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>3 [8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>4 [7,8,6,5,4,3,2,1]=>[1,8,7,6,5,4,3,2]=>3 [7,6,8,5,4,3,2,1]=>[2,1,8,7,6,5,4,3]=>4 [7,6,5,8,4,3,2,1]=>[3,2,1,8,7,6,5,4]=>3 [7,6,5,4,8,3,2,1]=>[4,3,2,1,8,7,6,5]=>4 [6,5,7,4,8,3,2,1]=>[2,1,4,3,8,7,6,5]=>4 [8,7,5,6,3,4,2,1]=>[5,3,8,7,6,4,2,1]=>4 [6,5,7,8,3,4,2,1]=>[2,1,5,3,8,7,6,4]=>4 [7,6,5,4,3,8,2,1]=>[5,4,3,2,1,8,7,6]=>3 [7,5,4,6,3,8,2,1]=>[3,2,5,4,1,8,7,6]=>3 [5,4,3,6,7,8,2,1]=>[3,2,1,4,5,8,7,6]=>2 [8,6,7,5,4,2,3,1]=>[6,2,8,7,5,4,3,1]=>4 [8,7,6,5,3,2,4,1]=>[6,5,8,7,4,3,2,1]=>4 [8,6,5,7,3,2,4,1]=>[6,5,3,2,8,7,4,1]=>4 [8,5,6,7,2,3,4,1]=>[5,2,6,3,8,7,4,1]=>4 [8,7,4,3,5,2,6,1]=>[4,3,6,5,8,7,2,1]=>4 [8,5,4,6,3,2,7,1]=>[3,2,6,5,4,8,7,1]=>3 [7,6,5,4,3,2,8,1]=>[6,5,4,3,2,1,8,7]=>4 [6,5,7,4,3,2,8,1]=>[2,1,6,5,4,3,8,7]=>4 [6,5,4,3,7,2,8,1]=>[4,3,2,1,6,5,8,7]=>4 [6,4,5,3,7,2,8,1]=>[2,4,3,1,6,5,8,7]=>3 [5,4,6,3,7,2,8,1]=>[2,1,4,3,6,5,8,7]=>4 [5,6,3,4,7,2,8,1]=>[3,1,4,2,6,5,8,7]=>4 [6,4,3,5,7,2,8,1]=>[3,2,4,1,6,5,8,7]=>4 [5,4,6,7,2,3,8,1]=>[2,1,5,3,6,4,8,7]=>4 [5,6,7,2,3,4,8,1]=>[4,1,5,2,6,3,8,7]=>4 [6,7,3,2,4,5,8,1]=>[4,3,5,1,6,2,8,7]=>4 [7,4,3,5,2,6,8,1]=>[3,2,5,4,6,1,8,7]=>4 [7,4,5,2,3,6,8,1]=>[4,2,5,3,6,1,8,7]=>4 [7,5,3,2,4,6,8,1]=>[4,3,5,2,6,1,8,7]=>4 [7,2,3,4,5,6,8,1]=>[2,3,4,5,6,1,8,7]=>2 [3,2,4,5,6,7,8,1]=>[2,1,3,4,5,6,8,7]=>2 [2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,8,7]=>1 [7,8,6,5,4,3,1,2]=>[7,1,8,6,5,4,3,2]=>4 [7,8,5,6,3,4,1,2]=>[7,5,3,1,8,6,4,2]=>4 [5,4,6,3,7,8,1,2]=>[2,1,4,3,7,5,8,6]=>4 [5,6,3,4,7,8,1,2]=>[3,1,4,2,7,5,8,6]=>4 [6,4,3,5,7,8,1,2]=>[3,2,4,1,7,5,8,6]=>4 [8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]=>4 [7,6,8,5,4,2,1,3]=>[7,6,2,1,8,5,4,3]=>4 [6,7,8,5,4,1,2,3]=>[6,1,7,2,8,5,4,3]=>4 [5,4,6,7,8,1,2,3]=>[2,1,6,3,7,4,8,5]=>4 [7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,8,4]=>4 [7,5,6,8,2,3,1,4]=>[5,2,7,6,3,1,8,4]=>4 [6,7,5,8,3,1,2,4]=>[6,1,7,5,3,2,8,4]=>4 [6,5,7,8,2,1,3,4]=>[6,5,2,1,7,3,8,4]=>4 [5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>4 [8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]=>4 [8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]=>4 [6,7,8,2,1,3,4,5]=>[5,4,6,1,7,2,8,3]=>4 [7,8,3,2,4,1,5,6]=>[4,3,6,5,7,1,8,2]=>4 [7,8,3,4,1,2,5,6]=>[5,3,6,4,7,1,8,2]=>4 [7,8,4,2,1,3,5,6]=>[5,4,6,3,7,1,8,2]=>4 [8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]=>4 [8,4,3,5,2,6,1,7]=>[3,2,5,4,7,6,8,1]=>4 [8,4,5,2,3,6,1,7]=>[4,2,5,3,7,6,8,1]=>4 [8,5,3,2,4,6,1,7]=>[4,3,5,2,7,6,8,1]=>4 [8,4,3,5,6,1,2,7]=>[3,2,6,4,7,5,8,1]=>4 [8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]=>4 [8,4,5,6,1,2,3,7]=>[5,2,6,3,7,4,8,1]=>4 [8,5,6,2,1,3,4,7]=>[5,4,6,2,7,3,8,1]=>4 [8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]=>4 [8,6,3,2,4,1,5,7]=>[4,3,6,5,7,2,8,1]=>4 [8,6,3,4,1,2,5,7]=>[5,3,6,4,7,2,8,1]=>4 [8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]=>4 [8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1]=>2 [8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]=>2 [8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1]=>2 [8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>2 [8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>1 [7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>3 [7,6,5,3,4,2,1,8]=>[4,7,6,5,3,2,1,8]=>3 [5,6,4,3,7,2,1,8]=>[1,4,3,2,7,6,5,8]=>2 [7,6,5,4,2,3,1,8]=>[5,7,6,4,3,2,1,8]=>3 [7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>3 [4,5,3,6,2,7,1,8]=>[1,3,2,5,4,7,6,8]=>3 [3,4,5,6,2,7,1,8]=>[1,2,3,5,4,7,6,8]=>2 [3,4,2,5,6,7,1,8]=>[1,3,2,4,5,7,6,8]=>2 [2,3,4,5,6,7,1,8]=>[1,2,3,4,5,7,6,8]=>1 [7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8]=>3 [3,4,5,6,7,1,2,8]=>[1,2,3,6,4,7,5,8]=>2 [7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8]=>3 [7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8]=>2 [4,5,6,7,1,2,3,8]=>[1,5,2,6,3,7,4,8]=>3 [7,6,5,3,2,1,4,8]=>[6,5,4,7,3,2,1,8]=>3 [7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>1 [6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>3 [3,4,5,2,6,1,7,8]=>[1,2,4,3,6,5,7,8]=>2 [6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>1 [5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>2 [3,4,2,5,1,6,7,8]=>[1,3,2,5,4,6,7,8]=>2 [2,3,4,5,1,6,7,8]=>[1,2,3,5,4,6,7,8]=>1 [3,4,5,1,2,6,7,8]=>[1,4,2,5,3,6,7,8]=>2 [5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>1 [4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>2 [3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1 [2,3,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1 [2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1 [1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0 [4,3,8,7,6,5,2,1]=>[8,7,1,6,2,5,4,3]=>4 [3,4,2,5,8,7,6,1]=>[8,1,2,7,3,4,6,5]=>5 [4,3,2,6,5,8,7,1]=>[2,1,4,8,3,5,7,6]=>4 [2,4,3,5,6,8,7,1]=>[2,8,1,3,4,5,7,6]=>5 [3,5,4,7,6,2,8,1]=>[2,6,1,3,5,4,8,7]=>4 [3,4,6,5,7,2,8,1]=>[4,1,2,3,6,5,8,7]=>5 [4,3,2,5,7,6,8,1]=>[2,1,6,3,4,5,8,7]=>5 [2,3,4,5,7,6,8,1]=>[6,1,2,3,4,5,8,7]=>6 [2,3,4,6,5,7,8,1]=>[5,1,2,3,4,6,8,7]=>5 [1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>4 [1,3,4,5,6,7,8,2]=>[2,3,4,5,6,8,1,7]=>2 [2,1,8,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]=>4 [2,1,6,5,7,4,8,3]=>[4,3,6,1,5,8,2,7]=>5 [1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>5 [1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>5 [1,2,3,5,6,7,8,4]=>[4,5,6,8,1,2,3,7]=>4 [4,3,2,1,8,7,6,5]=>[1,8,2,7,3,6,4,5]=>4 [2,1,4,3,8,7,6,5]=>[8,7,1,3,6,2,4,5]=>5 [1,2,4,3,6,7,8,5]=>[3,5,6,8,1,2,4,7]=>4 [3,2,1,4,7,6,8,5]=>[1,6,2,5,8,3,4,7]=>5 [1,3,2,4,6,7,8,5]=>[2,5,6,8,1,3,4,7]=>4 [1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>6 [4,5,3,2,1,8,7,6]=>[1,3,2,8,4,7,5,6]=>4 [3,4,5,2,1,8,7,6]=>[1,2,3,8,4,7,5,6]=>3 [3,2,4,5,1,8,7,6]=>[1,8,2,3,4,7,5,6]=>5 [1,2,4,5,3,7,8,6]=>[3,4,6,8,1,2,5,7]=>4 [1,3,2,5,4,7,8,6]=>[2,4,6,8,1,3,5,7]=>4 [3,2,1,4,5,8,7,6]=>[1,8,2,7,3,4,5,6]=>5 [2,1,3,4,5,7,8,6]=>[1,6,8,2,3,4,5,7]=>5 [1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>6 [6,5,4,3,2,1,8,7]=>[5,4,3,2,1,8,6,7]=>4 [4,3,6,5,2,1,8,7]=>[1,5,2,4,3,8,6,7]=>4 [4,5,3,6,2,1,8,7]=>[1,3,2,5,4,8,6,7]=>4 [3,4,5,6,2,1,8,7]=>[1,2,3,5,4,8,6,7]=>3 [3,2,5,4,6,1,8,7]=>[1,4,2,3,5,8,6,7]=>4 [3,4,2,5,6,1,8,7]=>[1,3,2,4,5,8,6,7]=>3 [2,3,4,5,6,1,8,7]=>[1,2,3,4,5,8,6,7]=>2 [1,6,5,4,3,2,8,7]=>[5,4,3,2,8,1,6,7]=>5 [2,1,6,5,4,3,8,7]=>[5,4,1,3,8,2,6,7]=>5 [2,3,1,6,5,4,8,7]=>[5,1,2,4,8,3,6,7]=>6 [4,3,2,1,6,5,8,7]=>[3,2,1,5,8,4,6,7]=>4 [2,1,4,3,6,5,8,7]=>[1,3,5,8,2,4,6,7]=>4 [2,1,3,4,6,5,8,7]=>[1,5,8,2,3,4,6,7]=>5 [3,5,4,2,1,6,8,7]=>[4,1,3,2,8,5,6,7]=>5 [3,4,2,1,5,6,8,7]=>[1,3,2,8,4,5,6,7]=>5 [3,2,4,1,5,6,8,7]=>[2,1,3,8,4,5,6,7]=>5 [2,3,4,1,5,6,8,7]=>[1,2,3,8,4,5,6,7]=>4 [3,2,1,4,5,6,8,7]=>[2,1,8,3,4,5,6,7]=>6 [1,3,2,4,5,6,8,7]=>[2,8,1,3,4,5,6,7]=>6 [2,1,3,4,5,6,8,7]=>[1,8,2,3,4,5,6,7]=>6 [1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>7 [4,5,3,2,7,6,1,8]=>[1,3,2,7,4,6,5,8]=>3 [3,4,5,2,7,6,1,8]=>[1,2,3,7,4,6,5,8]=>2 [3,2,1,4,7,6,5,8]=>[1,7,2,6,3,4,5,8]=>4 [1,2,3,4,6,7,5,8]=>[5,7,1,2,3,4,6,8]=>5 [3,2,5,4,1,7,6,8]=>[1,4,2,3,7,5,6,8]=>4 [1,2,3,5,4,7,6,8]=>[4,7,1,2,3,5,6,8]=>5 [2,3,4,1,5,7,6,8]=>[1,2,3,7,4,5,6,8]=>3 [1,3,2,4,5,7,6,8]=>[2,7,1,3,4,5,6,8]=>5 [2,1,3,4,5,7,6,8]=>[1,7,2,3,4,5,6,8]=>5 [1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]=>6 [3,2,1,6,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>3 [2,3,4,1,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>2 [1,3,2,4,6,5,7,8]=>[2,6,1,3,4,5,7,8]=>4 [2,1,3,4,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>4 [1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]=>5 [3,2,5,4,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>2 [2,1,3,5,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>3 [1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>4 [2,1,4,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>2 [1,2,3,8,6,5,7,4]=>[6,5,8,7,1,2,3,4]=>5 [1,6,4,3,5,8,7,2]=>[3,8,4,2,5,7,1,6]=>3 [1,8,4,3,5,6,7,2]=>[4,3,5,6,8,7,1,2]=>3 [1,8,6,5,4,7,3,2]=>[5,4,3,8,7,6,1,2]=>4 [2,1,8,5,4,7,6,3]=>[4,8,5,7,1,6,2,3]=>4 [2,3,7,4,5,6,8,1]=>[4,5,6,1,2,3,8,7]=>4 [2,5,3,4,1,8,7,6]=>[8,3,1,2,4,7,5,6]=>4 [2,5,3,4,8,6,7,1]=>[6,2,8,1,3,4,7,5]=>5 [2,8,3,7,6,5,4,1]=>[8,7,6,3,5,1,4,2]=>4 [2,7,5,4,3,6,8,1]=>[5,4,3,6,1,2,8,7]=>4 [2,8,7,4,6,5,3,1]=>[8,4,7,6,5,1,3,2]=>4 [3,2,8,6,5,7,4,1]=>[5,4,8,1,7,2,6,3]=>4 [4,3,2,7,5,6,8,1]=>[2,1,5,6,3,4,8,7]=>4 [6,3,2,5,4,1,8,7]=>[2,5,3,4,1,8,6,7]=>4 [8,3,2,5,4,7,6,1]=>[2,4,8,3,5,7,6,1]=>4 [8,3,2,7,6,5,4,1]=>[8,7,2,6,3,5,4,1]=>4 [5,3,4,2,1,6,8,7]=>[2,4,3,1,8,5,6,7]=>4 [7,3,4,2,6,5,8,1]=>[2,3,6,4,5,1,8,7]=>3 [7,3,6,4,5,2,1,8]=>[4,7,2,6,5,3,1,8]=>3 [8,3,7,4,6,5,2,1]=>[8,4,7,2,6,5,3,1]=>4 [8,5,3,4,2,7,6,1]=>[3,4,2,8,5,7,6,1]=>4 [7,6,3,5,4,2,1,8]=>[7,3,6,5,4,2,1,8]=>4 [8,5,4,3,2,7,6,1]=>[4,3,2,8,5,7,6,1]=>4 [8,7,4,3,6,5,2,1]=>[3,8,4,7,6,5,2,1]=>4 [2,4,1,3,6,5,8,7]=>[5,1,2,8,3,4,6,7]=>6 [2,4,6,7,1,3,8,5]=>[8,2,5,1,3,6,4,7]=>4 [2,1,4,3,7,8,5,6]=>[7,1,3,5,8,2,4,6]=>6 [2,1,5,6,3,4,8,7]=>[3,8,1,5,2,4,6,7]=>3 [2,1,5,7,3,8,4,6]=>[3,7,8,1,5,2,4,6]=>3 [2,6,1,3,7,4,8,5]=>[8,6,1,3,4,2,5,7]=>3 [2,1,6,7,8,3,4,5]=>[6,3,7,1,4,8,2,5]=>5 [2,3,4,6,1,8,5,7]=>[7,1,2,3,4,8,5,6]=>6 [2,3,1,6,4,5,7,8]=>[1,2,5,6,3,4,7,8]=>2 [2,1,7,3,4,8,5,6]=>[7,8,1,4,5,2,3,6]=>4 [2,3,7,1,4,5,8,6]=>[8,1,2,4,5,6,3,7]=>5 [2,3,4,7,8,1,5,6]=>[6,7,1,2,3,4,8,5]=>5 [2,1,7,3,4,5,6,8]=>[1,4,5,6,7,2,3,8]=>2 [2,1,3,4,7,5,6,8]=>[1,6,7,2,3,4,5,8]=>4 [2,3,4,5,7,8,1,6]=>[7,1,2,3,4,5,8,6]=>6 [2,1,3,4,8,5,6,7]=>[1,6,7,8,2,3,4,5]=>4 [2,3,4,8,1,5,6,7]=>[1,2,3,5,6,7,8,4]=>1 [2,1,3,4,5,8,6,7]=>[1,7,8,2,3,4,5,6]=>5 [3,4,1,2,6,5,8,7]=>[1,5,2,8,3,4,6,7]=>5 [3,4,1,2,6,7,5,8]=>[1,5,2,7,3,4,6,8]=>4 [3,4,1,2,7,8,5,6]=>[1,2,7,5,8,3,4,6]=>4 [3,4,1,2,7,5,6,8]=>[1,6,2,7,3,4,5,8]=>4 [3,4,1,5,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>4 [3,4,1,2,5,7,8,6]=>[1,6,2,8,3,4,5,7]=>5 [3,4,1,2,5,8,6,7]=>[1,7,2,8,3,4,5,6]=>5 [3,4,1,5,8,2,6,7]=>[1,4,2,6,7,8,3,5]=>3 [3,4,5,6,1,8,2,7]=>[1,2,3,7,4,8,5,6]=>3 [3,4,1,5,6,2,7,8]=>[1,4,2,6,3,5,7,8]=>3 [3,4,5,6,1,7,8,2]=>[1,2,3,6,4,8,5,7]=>3 [3,5,1,6,2,4,8,7]=>[8,1,5,3,2,4,6,7]=>3 [3,5,6,1,2,7,8,4]=>[6,1,2,8,4,3,5,7]=>3 [3,5,1,7,2,8,4,6]=>[7,1,2,8,5,3,4,6]=>4 [1,3,2,5,4,8,6,7]=>[2,4,7,8,1,3,5,6]=>4 [3,1,2,5,6,7,8,4]=>[4,1,5,6,8,2,3,7]=>4 [3,6,1,7,8,2,4,5]=>[6,7,1,4,2,8,3,5]=>4 [1,3,2,4,6,8,5,7]=>[2,5,7,8,1,3,4,6]=>4 [3,1,2,4,7,5,6,8]=>[6,1,7,2,3,4,5,8]=>5 [3,1,2,4,5,7,8,6]=>[6,1,8,2,3,4,5,7]=>6 [1,3,2,4,8,5,6,7]=>[2,6,7,8,1,3,4,5]=>4 [1,3,2,4,5,8,6,7]=>[2,7,8,1,3,4,5,6]=>5 [3,1,2,4,5,6,8,7]=>[8,2,1,3,4,5,6,7]=>1 [1,3,4,5,6,8,2,7]=>[2,3,4,5,7,8,1,6]=>2 [4,5,6,1,2,3,8,7]=>[1,8,4,2,5,3,6,7]=>2 [4,1,5,2,6,8,3,7]=>[5,3,1,7,8,2,4,6]=>4 [4,5,6,1,8,2,3,7]=>[1,6,2,7,3,8,4,5]=>4 [4,5,1,7,2,8,3,6]=>[1,7,2,8,5,3,4,6]=>3 [4,5,7,1,2,8,3,6]=>[1,7,2,8,4,5,3,6]=>3 [4,1,2,5,6,8,3,7]=>[4,5,1,7,8,2,3,6]=>4 [1,4,5,2,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>3 [4,6,7,1,8,2,3,5]=>[1,6,7,2,8,4,3,5]=>2 [1,2,4,3,6,8,5,7]=>[3,5,7,8,1,2,4,6]=>4 [1,2,4,7,8,3,5,6]=>[6,7,3,4,8,1,2,5]=>5 [1,4,2,7,3,5,6,8]=>[5,2,6,7,1,3,4,8]=>4 [1,2,4,3,8,5,6,7]=>[3,6,7,8,1,2,4,5]=>4 [1,2,4,5,3,8,6,7]=>[3,4,7,8,1,2,5,6]=>4 [4,1,2,3,5,6,8,7]=>[8,2,3,1,4,5,6,7]=>2 [1,4,2,3,5,6,8,7]=>[8,3,1,2,4,5,6,7]=>2 [1,4,2,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>2 [5,1,6,2,7,3,8,4]=>[8,6,4,2,1,3,5,7]=>2 [5,1,2,3,6,8,4,7]=>[5,7,8,2,1,3,4,6]=>1 [1,2,3,5,8,4,6,7]=>[4,6,7,8,1,2,3,5]=>4 [5,1,2,3,4,6,8,7]=>[8,2,3,4,1,5,6,7]=>3 [1,2,5,3,4,6,8,7]=>[8,4,1,2,3,5,6,7]=>3 [1,2,3,5,6,8,4,7]=>[4,5,7,8,1,2,3,6]=>4 [1,6,2,3,7,8,4,5]=>[7,5,8,3,1,2,4,6]=>3 [1,2,6,3,4,5,7,8]=>[4,5,6,1,2,3,7,8]=>3 [1,2,3,7,4,5,6,8]=>[5,6,7,1,2,3,4,8]=>4 [1,2,3,4,7,5,6,8]=>[6,7,1,2,3,4,5,8]=>5 [1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>2 [1,2,3,8,4,5,6,7]=>[5,6,7,8,1,2,3,4]=>4 [1,2,3,4,8,5,6,7]=>[6,7,8,1,2,3,4,5]=>5 [1,2,3,4,5,8,6,7]=>[7,8,1,2,3,4,5,6]=>6 [5,3,2,6,1,4,8,7]=>[2,8,3,1,5,4,6,7]=>2 [7,3,2,5,4,8,1,6]=>[2,5,3,4,7,1,8,6]=>4 [8,4,5,2,3,7,6,1]=>[2,8,4,3,5,7,6,1]=>2 [7,4,5,2,3,8,1,6]=>[4,2,5,3,7,1,8,6]=>4 [6,4,5,2,3,1,8,7]=>[4,2,5,3,1,8,6,7]=>4 [5,4,6,2,1,3,8,7]=>[4,2,1,8,5,3,6,7]=>2 [3,6,1,5,4,2,8,7]=>[5,1,4,8,3,2,6,7]=>3 [4,6,5,1,3,2,8,7]=>[1,5,8,4,3,2,6,7]=>2 [5,6,4,3,1,2,8,7]=>[1,8,5,4,3,2,6,7]=>2 [7,5,4,3,2,8,1,6]=>[5,4,3,2,7,1,8,6]=>4 [8,6,4,3,7,2,5,1]=>[4,3,6,2,8,7,5,1]=>4 [7,6,4,3,8,2,1,5]=>[4,3,7,6,2,1,8,5]=>4 [6,7,4,3,8,1,2,5]=>[6,4,3,1,7,2,8,5]=>4 [5,7,4,3,1,8,2,6]=>[1,7,4,3,8,5,2,6]=>2 [4,7,5,1,3,8,2,6]=>[1,5,7,3,8,4,2,6]=>2 [3,7,1,5,4,8,2,6]=>[5,1,4,7,8,3,2,6]=>3 [2,1,7,5,4,8,3,6]=>[5,4,7,1,3,8,2,6]=>5 [3,8,1,5,4,7,6,2]=>[4,8,1,5,7,3,6,2]=>4 [4,8,5,1,3,7,6,2]=>[8,1,5,3,7,4,6,2]=>4 [5,8,4,3,1,7,6,2]=>[1,4,3,8,7,5,6,2]=>3 [6,8,4,3,7,1,5,2]=>[4,3,1,8,6,7,5,2]=>4 [7,8,4,3,6,5,1,2]=>[4,3,7,1,8,6,5,2]=>4 [6,8,5,7,3,1,4,2]=>[1,8,6,5,3,7,4,2]=>3 [5,8,6,7,1,3,4,2]=>[1,6,8,5,3,7,4,2]=>2 [4,8,6,1,7,3,5,2]=>[6,8,1,7,4,3,5,2]=>4 [3,8,1,6,7,4,5,2]=>[6,4,8,1,7,3,5,2]=>4 [2,1,8,6,7,4,5,3]=>[6,4,8,7,1,5,2,3]=>4 [2,1,7,6,8,4,3,5]=>[7,6,4,1,3,8,2,5]=>5 [3,7,1,6,8,4,2,5]=>[7,6,1,4,8,3,2,5]=>3 [4,7,6,1,8,3,2,5]=>[7,1,6,8,4,3,2,5]=>4 [5,7,6,8,1,3,2,4]=>[1,7,5,6,3,2,8,4]=>4 [5,4,7,2,1,8,3,6]=>[4,2,1,7,8,5,3,6]=>2 [6,4,7,2,8,1,3,5]=>[4,2,6,1,7,3,8,5]=>4 [7,4,6,2,8,3,1,5]=>[2,7,4,6,3,1,8,5]=>4 [8,4,6,2,7,3,5,1]=>[2,6,8,4,3,7,5,1]=>2 [8,3,2,6,7,4,5,1]=>[6,2,4,8,3,7,5,1]=>5 [7,3,2,6,8,4,1,5]=>[7,2,6,3,4,1,8,5]=>4 [6,3,2,7,8,1,4,5]=>[2,6,7,3,1,4,8,5]=>2 [5,3,2,7,1,8,4,6]=>[2,7,1,8,3,5,4,6]=>3 [4,3,2,1,7,8,5,6]=>[2,1,7,3,5,8,4,6]=>5 [3,4,1,2,8,7,6,5]=>[8,1,2,7,6,3,4,5]=>6 [5,3,2,8,1,7,6,4]=>[8,2,1,7,3,5,6,4]=>4 [6,3,2,8,7,1,5,4]=>[8,2,6,1,7,3,5,4]=>4 [7,3,2,8,6,5,1,4]=>[7,8,2,6,3,1,5,4]=>4 [8,4,7,2,6,5,3,1]=>[8,2,7,4,6,5,3,1]=>4 [7,4,8,2,6,5,1,3]=>[2,7,8,4,1,6,5,3]=>2 [6,4,8,2,7,1,5,3]=>[2,8,4,1,6,7,5,3]=>2 [5,4,8,2,1,7,6,3]=>[2,1,8,4,7,5,6,3]=>4 [4,5,8,1,2,7,6,3]=>[1,2,8,7,4,5,6,3]=>3 [3,5,1,8,2,7,6,4]=>[2,8,1,7,5,6,3,4]=>4 [2,1,5,8,3,7,6,4]=>[8,3,7,1,5,6,2,4]=>5 [2,1,6,8,7,3,5,4]=>[3,8,6,7,1,5,2,4]=>4 [3,6,1,8,7,2,5,4]=>[8,6,1,2,7,5,3,4]=>4 [4,6,8,1,7,2,5,3]=>[8,1,6,2,7,4,5,3]=>4 [5,6,8,7,1,2,4,3]=>[1,8,5,2,6,7,4,3]=>2 [6,5,8,7,2,1,4,3]=>[5,2,1,8,6,7,4,3]=>4 [7,5,8,6,2,4,1,3]=>[5,2,7,1,8,6,4,3]=>4 [8,5,7,6,2,4,3,1]=>[2,8,5,7,6,4,3,1]=>4 [5,7,8,6,1,4,2,3]=>[1,7,8,5,2,6,4,3]=>2 [4,7,8,1,6,5,2,3]=>[7,8,1,6,4,2,5,3]=>4 [3,7,1,8,6,5,2,4]=>[7,8,6,1,5,3,2,4]=>3 [2,1,7,8,6,5,3,4]=>[7,3,8,6,1,5,2,4]=>4 [3,8,1,7,6,5,4,2]=>[8,7,6,1,5,3,4,2]=>4 [4,8,7,1,6,5,3,2]=>[8,7,1,6,4,5,3,2]=>4 [5,8,7,6,1,4,3,2]=>[8,1,7,5,6,4,3,2]=>4 [6,8,7,5,4,1,3,2]=>[1,8,6,7,5,4,3,2]=>4 [10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>5 [7,2,8,1,3,4,5,6]=>[2,4,5,6,7,1,8,3]=>2 [6,4,7,8,1,2,3,5]=>[5,2,6,1,7,3,8,4]=>4 [7,4,5,8,1,2,3,6]=>[5,2,6,3,7,1,8,4]=>4 [6,8,3,5,1,2,4,7]=>[5,3,6,1,7,4,8,2]=>4 [7,5,3,8,1,2,4,6]=>[5,3,6,2,7,1,8,4]=>4 [8,5,3,6,1,2,4,7]=>[5,3,6,2,7,4,8,1]=>4 [5,7,3,4,8,1,2,6]=>[3,1,6,4,7,2,8,5]=>4 [7,8,3,5,6,1,2,4]=>[3,6,7,4,1,8,5,2]=>2 [4,3,2,6,8,1,5,7]=>[2,1,6,3,4,7,8,5]=>4 [6,4,3,7,8,1,2,5]=>[3,2,6,1,7,4,8,5]=>4 [7,4,3,5,8,1,2,6]=>[3,2,6,4,7,1,8,5]=>4 [6,4,8,2,5,1,3,7]=>[4,2,6,1,7,5,8,3]=>4 [7,5,3,2,8,1,4,6]=>[4,3,6,2,7,1,8,5]=>4 [8,5,3,2,6,1,4,7]=>[4,3,6,2,7,5,8,1]=>4 [4,8,3,7,2,6,1,5]=>[1,3,5,7,8,6,4,2]=>2 [7,5,3,8,2,6,1,4]=>[3,5,2,7,1,8,6,4]=>3 [7,6,5,4,2,8,1,3]=>[5,7,4,3,2,1,8,6]=>3 [8,1,2,7,6,3,4,5]=>[6,7,8,5,2,3,4,1]=>3 [8,4,1,2,3,7,5,6]=>[7,8,3,2,4,5,6,1]=>2 [8,7,1,2,6,3,4,5]=>[6,7,8,3,4,5,2,1]=>4 [8,4,1,2,6,7,3,5]=>[7,5,2,8,3,4,6,1]=>4 [9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>1 [9,3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,9,1]=>2 [2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,9,8]=>1 []=>[]=>0 [4,5,6,2,3,1,8,7]=>[1,4,2,5,3,8,6,7]=>4 [2,1,6,7,8,4,3,5]=>[3,7,6,1,4,8,2,5]=>4 [3,5,2,7,1,8,4,6]=>[7,1,2,8,3,5,4,6]=>4 [4,6,7,2,8,5,3,1]=>[2,8,1,7,4,3,6,5]=>4 [3,7,1,6,8,2,4,5]=>[6,7,1,4,8,3,2,5]=>3 [6,4,7,2,8,1,5,3]=>[2,8,4,1,6,3,7,5]=>3 [7,5,8,2,1,3,4,6]=>[5,4,6,2,7,1,8,3]=>4 [5,7,3,8,2,1,4,6]=>[3,1,6,5,7,2,8,4]=>4 [1,7,6,8,4,3,5,2]=>[6,5,3,2,8,7,1,4]=>4 [3,2,8,1,7,6,4,5]=>[7,8,1,6,2,4,5,3]=>4 [8,1,7,6,5,4,2,3]=>[7,8,6,5,4,2,3,1]=>3 [3,1,8,2,7,4,6,5]=>[8,1,6,7,4,5,2,3]=>5 [4,3,6,2,7,1,8,5]=>[1,8,2,4,3,6,5,7]=>3 [4,3,6,1,7,5,8,2]=>[1,6,2,5,3,8,4,7]=>4 [5,1,6,3,7,4,8,2]=>[6,4,3,1,5,8,2,7]=>4 [1,7,6,4,8,3,2,5]=>[4,7,6,3,2,8,1,5]=>4 [6,1,7,2,8,5,4,3]=>[8,7,6,4,2,1,3,5]=>3 [7,1,8,6,5,4,3,2]=>[8,7,6,5,4,2,1,3]=>3 [5,8,6,2,3,1,4,7]=>[4,1,6,5,7,3,8,2]=>4 [4,3,8,2,5,1,7,6]=>[2,1,4,5,8,6,7,3]=>3 [5,1,6,7,4,3,8,2]=>[3,1,6,5,4,8,2,7]=>4 [7,1,6,5,8,3,2,4]=>[7,6,4,3,8,2,1,5]=>3 [1,3,7,6,4,2,8,5]=>[5,8,6,2,4,1,3,7]=>3 [7,3,6,2,4,8,1,5]=>[2,4,5,7,3,1,8,6]=>2 [5,7,4,2,3,8,1,6]=>[4,1,5,3,7,2,8,6]=>4 [5,4,6,7,2,8,1,3]=>[2,1,5,3,7,4,8,6]=>4 [5,4,7,3,8,1,2,6]=>[2,1,6,4,7,3,8,5]=>4 [2,3,4,5,6,8,9,1,7]=>[8,1,2,3,4,5,6,9,7]=>7 [2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,10,9]=>1 [2,3,4,5,6,7,9,10,1,8]=>[9,1,2,3,4,5,6,7,10,8]=>8 [3,6,4,5,7,2,8,1]=>[3,4,1,2,6,5,8,7]=>4 [1,8,6,3,7,2,4,5]=>[4,6,7,3,8,5,1,2]=>3 [1,8,2,7,3,4,5,6]=>[5,6,7,8,3,4,1,2]=>3 [3,6,2,7,1,8,4,5]=>[7,8,1,3,2,5,4,6]=>3 [8,2,6,1,7,3,4,5]=>[6,7,8,2,4,3,5,1]=>3 [6,5,3,4,8,7,1,2]=>[3,4,2,1,7,8,6,5]=>2 [7,2,8,6,1,3,4,5]=>[5,6,7,8,2,1,4,3]=>2 [7,4,8,3,2,5,1,6]=>[2,5,4,7,6,1,8,3]=>3 [6,4,3,8,2,5,1,7]=>[3,2,5,1,7,6,8,4]=>4 [6,4,3,7,2,5,8,1]=>[3,2,5,1,6,4,8,7]=>4 [5,4,3,2,1,8,6,7]=>[4,3,2,1,7,8,5,6]=>4 [6,4,3,7,2,8,1,5]=>[3,2,5,1,7,4,8,6]=>4 [1,6,2,5,3,4,7,8]=>[5,6,3,4,1,2,7,8]=>3 [1,8,2,3,4,7,5,6]=>[7,8,3,4,5,6,1,2]=>5 [1,5,2,4,3,8,6,7]=>[4,7,2,8,1,3,5,6]=>5 [1,2,3,8,4,7,5,6]=>[7,8,5,6,1,2,3,4]=>5 [1,8,2,7,3,6,4,5]=>[7,8,5,6,3,4,1,2]=>4 [5,6,8,2,4,1,3,7]=>[4,1,6,2,7,5,8,3]=>4 [6,7,8,1,5,2,4,3]=>[8,6,1,7,4,2,5,3]=>3 [5,7,8,3,1,2,4,6]=>[5,1,6,4,7,2,8,3]=>4 [6,3,2,8,5,1,4,7]=>[2,6,7,3,1,5,8,4]=>2 [12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>6 [8,7,6,2,1,4,3,5]=>[4,7,5,6,8,3,2,1]=>4 [8,7,4,1,6,5,3,2]=>[3,8,7,6,4,5,2,1]=>4 [8,7,6,5,2,1,4,3]=>[5,8,6,7,4,3,2,1]=>4 [8,7,6,5,1,4,2,3]=>[7,8,5,6,4,3,2,1]=>4 [7,6,5,1,8,4,3,2]=>[8,7,6,4,3,2,1,5]=>3 [7,5,1,3,8,4,2,6]=>[7,4,6,2,8,3,1,5]=>3 [6,2,8,4,7,3,5,1]=>[4,6,1,8,7,2,5,3]=>3 [7,3,6,2,5,1,8,4]=>[8,2,4,6,5,3,1,7]=>4 [7,3,8,4,6,2,5,1]=>[4,6,8,2,1,7,5,3]=>2 [6,1,7,5,2,4,8,3]=>[6,8,5,4,2,1,3,7]=>2 [4,6,8,3,1,7,5,2]=>[4,1,2,8,7,5,6,3]=>4 [4,5,8,7,6,1,2,3]=>[1,2,6,7,8,5,4,3]=>2 [1,5,2,6,4,8,3,7]=>[5,4,2,7,8,1,3,6]=>4 [7,1,5,4,2,8,3,6]=>[7,4,3,8,2,5,1,6]=>3 [5,1,7,8,6,2,4,3]=>[1,8,6,3,7,5,2,4]=>3 [1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>8 [2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>1 [1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>9 [2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>1 [1,2,3,4,5,6,7,8,9,11,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>10 [2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>1 [7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>4 [3,8,1,2,7,4,5,6]=>[1,6,7,8,3,4,5,2]=>3 [6,7,2,8,5,3,1,4]=>[7,6,1,8,3,2,5,4]=>3 [7,5,3,6,4,2,8,1]=>[6,3,2,5,4,1,8,7]=>3 [8,2,6,3,4,7,5,1]=>[8,4,5,2,3,7,6,1]=>4 [7,2,6,3,5,4,8,1]=>[6,4,5,2,3,1,8,7]=>4 [6,2,7,4,3,5,8,1]=>[5,4,6,2,1,3,8,7]=>3 [3,7,6,4,5,2,8,1]=>[4,6,5,1,3,2,8,7]=>3 [2,7,6,5,3,4,8,1]=>[5,6,4,3,1,2,8,7]=>4 [8,6,5,4,2,7,3,1]=>[8,5,4,3,2,7,6,1]=>3 [6,5,8,4,2,7,3,1]=>[2,1,8,5,4,7,6,3]=>3 [1,8,6,3,7,5,2,4]=>[7,8,4,3,6,5,1,2]=>3 [8,7,5,2,6,4,3,1]=>[8,7,4,3,6,5,2,1]=>4 [8,7,1,6,2,5,4,3]=>[8,7,5,6,3,4,2,1]=>4 [1,7,2,8,5,3,4,6]=>[6,7,5,8,3,1,2,4]=>3 [7,6,1,8,4,3,2,5]=>[7,6,5,8,3,2,1,4]=>3 [8,6,1,7,4,2,5,3]=>[8,6,5,7,3,2,4,1]=>3 [8,1,2,7,3,4,6,5]=>[8,5,6,7,2,3,4,1]=>5 [7,1,2,8,3,5,4,6]=>[7,5,6,8,2,3,1,4]=>4 [4,7,5,6,8,3,2,1]=>[3,4,1,2,8,7,6,5]=>4 [8,6,4,7,5,3,2,1]=>[8,3,2,7,6,5,4,1]=>3 [5,4,8,1,7,2,6,3]=>[2,1,8,6,7,4,5,3]=>4 [2,3,8,7,4,5,6,1]=>[5,6,8,7,1,2,4,3]=>3 [7,2,8,6,4,3,5,1]=>[6,5,8,7,2,1,4,3]=>4 [8,2,7,6,3,5,4,1]=>[8,5,7,6,2,4,3,1]=>5 [8,1,7,6,5,2,4,3]=>[8,6,7,5,4,2,3,1]=>4 [7,1,8,6,5,3,2,4]=>[7,6,8,5,4,2,1,3]=>3 [1,2,8,7,6,3,4,5]=>[6,7,8,5,4,1,2,3]=>4 [6,8,7,2,5,4,3,1]=>[1,8,7,4,6,5,3,2]=>3 [3,8,7,6,4,5,2,1]=>[5,8,7,6,1,4,3,2]=>4 [2,8,7,6,5,3,4,1]=>[6,8,7,5,4,1,3,2]=>3 [1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,1,2]=>4 [1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0 [1,3,4,5,6,7,8,9,2]=>[2,3,4,5,6,7,9,1,8]=>2 [1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0 [1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>7 [1,2,3,4,6,7,8,9,10,5]=>[5,6,7,8,10,1,2,3,4,9]=>5 [5,6,3,7,2,8,1,4]=>[3,1,5,2,7,4,8,6]=>4 [5,6,3,8,2,4,1,7]=>[3,1,5,2,7,6,8,4]=>4 [5,7,3,4,2,8,1,6]=>[3,1,5,4,7,2,8,6]=>4 [5,8,3,4,2,6,1,7]=>[3,1,5,4,7,6,8,2]=>4 [4,7,6,2,8,1,3,5]=>[1,4,6,7,3,2,8,5]=>2 [5,6,2,1,4,8,3,7]=>[3,5,1,7,2,8,4,6]=>4 [3,4,1,2,8,6,5,7]=>[1,2,7,6,8,3,4,5]=>4 [9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>4 [8,9,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,3,2]=>4 [8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>4 [9,10,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,3,2]=>4 [9,8,10,7,6,5,4,3,2,1]=>[2,1,10,9,8,7,6,5,4,3]=>5 [9,8,7,6,10,5,4,3,2,1]=>[4,3,2,1,10,9,8,7,6,5]=>5 [9,8,7,6,5,4,10,3,2,1]=>[6,5,4,3,2,1,10,9,8,7]=>5 [8,7,6,5,4,3,1,2,9]=>[7,8,6,5,4,3,2,1,9]=>3 [9,8,7,6,5,4,3,2,10,1]=>[8,7,6,5,4,3,2,1,10,9]=>5 [9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>4 [10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>1 [11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>1 [8,4,3,2,1,6,5,7]=>[4,3,2,7,5,6,8,1]=>4 [4,5,3,2,7,1,8,6]=>[1,3,2,8,4,6,5,7]=>3 [8,2,4,3,7,1,6,5]=>[3,8,2,4,6,7,5,1]=>5 [3,7,1,5,6,8,2,4]=>[4,7,1,5,8,3,2,6]=>3 [3,2,5,1,6,4,7,8]=>[1,6,2,4,3,5,7,8]=>2 [6,3,2,1,4,7,8,5]=>[3,2,6,8,4,1,5,7]=>2 [3,5,8,2,1,7,4,6]=>[4,1,2,7,8,5,6,3]=>4 [3,2,1,4,7,5,8,6]=>[1,8,2,6,3,4,5,7]=>4 [1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>5 [1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>5 [10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>5 [3,2,7,8,4,6,5,1]=>[8,5,1,3,7,2,6,4]=>4 [4,1,3,2,8,5,6,7]=>[3,6,1,7,8,2,4,5]=>4 [3,2,1,4,8,5,6,7]=>[2,1,6,7,8,3,4,5]=>4 [2,8,1,7,4,3,6,5]=>[5,8,6,7,1,3,4,2]=>4 [1,2,8,7,4,5,3,6]=>[5,7,6,8,4,1,2,3]=>4 [6,7,3,4,1,8,2,5]=>[3,7,4,1,8,5,2,6]=>2 [9,2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]=>2 [10,2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]=>2 [2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>1 [1,2,8,3,7,6,5,4]=>[8,7,6,4,5,1,2,3]=>5 [5,8,7,1,2,6,4,3]=>[1,8,7,4,5,6,3,2]=>4 [2,4,6,8,3,1,7,5]=>[5,2,3,8,1,6,7,4]=>5 [5,2,4,7,3,6,8,1]=>[3,5,1,6,2,4,8,7]=>4 [4,3,6,1,5,8,2,7]=>[2,1,5,7,3,8,4,6]=>4 [2,6,1,4,5,8,3,7]=>[4,5,7,1,2,8,3,6]=>4 [2,5,3,4,1,8,6,7]=>[3,4,1,2,7,8,5,6]=>4 [4,3,5,2,1,8,6,7]=>[2,1,4,3,7,8,5,6]=>4 [2,7,8,3,6,1,4,5]=>[4,6,7,2,8,1,5,3]=>3 [3,2,1,8,7,5,6,4]=>[6,8,1,7,2,5,3,4]=>4 [4,3,6,1,8,2,7,5]=>[1,8,2,6,3,7,4,5]=>4 [3,1,6,7,5,8,2,4]=>[3,7,1,5,4,8,2,6]=>4 [7,1,5,8,4,3,2,6]=>[3,7,6,5,8,2,1,4]=>2 [7,6,5,1,4,3,2,8]=>[7,6,4,5,3,2,1,8]=>3 [1,2,3,4,5,6,9,7,8]=>[8,9,1,2,3,4,5,6,7]=>7 [6,3,7,2,8,1,4,5]=>[2,4,6,1,7,3,8,5]=>3 [2,7,6,5,1,8,4,3]=>[8,7,5,4,1,3,2,6]=>3 [1,8,2,7,4,6,3,5]=>[5,7,8,6,3,4,1,2]=>3 [4,3,1,2,5,6,8,7]=>[8,3,2,1,4,5,6,7]=>2 [8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]=>1 [9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>1 [1,8,3,5,4,2,7,6]=>[5,3,4,8,6,7,1,2]=>5 [1,7,6,5,4,2,8,3]=>[8,6,5,4,3,1,2,7]=>4 [1,8,3,6,7,4,5,2]=>[6,4,8,3,7,5,1,2]=>5 [2,6,5,7,3,4,8,1]=>[5,3,2,6,1,4,8,7]=>4 [1,6,4,7,5,8,2,3]=>[7,3,2,5,4,8,1,6]=>4 [1,3,7,4,6,8,2,5]=>[7,4,5,2,3,8,1,6]=>5 [4,7,5,6,3,2,8,1]=>[3,6,1,5,4,2,8,7]=>4 [8,1,6,5,7,2,4,3]=>[8,6,4,3,7,2,5,1]=>4 [1,2,7,6,8,3,4,5]=>[6,7,4,3,8,1,2,5]=>4 [3,8,6,4,2,7,5,1]=>[4,8,5,1,3,7,6,2]=>3 [7,8,1,6,2,4,5,3]=>[6,8,5,7,3,1,4,2]=>4 [3,8,4,1,7,2,6,5]=>[3,8,1,6,7,4,5,2]=>4 [5,4,7,1,8,3,2,6]=>[2,1,7,6,8,4,3,5]=>3 [3,7,4,1,8,5,2,6]=>[3,7,1,6,8,4,2,5]=>3 [6,7,1,4,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>2 [2,7,1,8,4,5,3,6]=>[5,7,6,8,1,3,2,4]=>3 [8,4,2,1,7,3,6,5]=>[8,3,2,6,7,4,5,1]=>3 [7,4,2,1,8,5,3,6]=>[7,3,2,6,8,4,1,5]=>2 [1,5,4,2,8,3,6,7]=>[6,3,2,7,8,1,4,5]=>4 [6,4,3,1,5,8,2,7]=>[5,3,2,7,1,8,4,6]=>4 [3,7,6,8,4,5,2,1]=>[5,3,2,8,1,7,6,4]=>4 [1,7,6,8,5,4,2,3]=>[7,3,2,8,6,5,1,4]=>4 [2,4,8,6,7,3,5,1]=>[6,4,8,2,7,1,5,3]=>4 [3,4,8,5,6,7,2,1]=>[4,5,8,1,2,7,6,3]=>4 [6,3,5,8,4,7,2,1]=>[3,5,1,8,2,7,6,4]=>4 [5,4,3,8,6,7,2,1]=>[2,1,5,8,3,7,6,4]=>4 [6,2,5,8,7,3,4,1]=>[3,6,1,8,7,2,5,4]=>3 [3,2,8,5,7,4,6,1]=>[4,6,8,1,7,2,5,3]=>3 [2,1,8,7,4,6,3,5]=>[5,7,8,6,1,4,2,3]=>3 [3,1,8,5,7,6,2,4]=>[4,7,8,1,6,5,2,3]=>4 [6,1,5,8,7,4,2,3]=>[3,7,1,8,6,5,2,4]=>4 [5,8,6,7,4,3,2,1]=>[3,8,1,7,6,5,4,2]=>4 [4,8,7,5,6,3,2,1]=>[4,8,7,1,6,5,3,2]=>3 [8,6,2,1,4,3,5,7]=>[3,6,4,5,7,2,8,1]=>4 [6,3,5,4,8,1,7,2]=>[4,2,3,1,8,6,7,5]=>4 [8,5,1,4,7,3,2,6]=>[4,7,6,2,8,3,5,1]=>3 [5,8,7,6,4,1,3,2]=>[8,1,6,7,5,4,3,2]=>5 [4,3,6,1,7,8,2,5]=>[1,7,2,5,3,8,4,6]=>4 [7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>1 [3,4,8,7,1,2,6,5]=>[8,1,2,5,6,7,4,3]=>6 [4,7,6,5,1,2,8,3]=>[8,1,5,6,4,3,2,7]=>4 [6,2,7,5,3,8,1,4]=>[5,7,4,2,1,3,8,6]=>3 [1,8,5,7,4,3,6,2]=>[3,6,5,8,7,4,1,2]=>4 [8,4,1,5,7,3,6,2]=>[4,2,6,8,7,3,5,1]=>3 [3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>1 [4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>2 [5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>2 [6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>3 [7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>3 [3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>1 [4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>2 [5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>2 [6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>3 [7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>3 [8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>4 [6,7,1,4,3,8,2,5]=>[5,4,7,1,8,3,2,6]=>3 [6,1,2,3,5,7,8,4]=>[5,6,8,2,3,1,4,7]=>2 [5,8,2,7,6,3,4,1]=>[1,6,8,7,3,5,4,2]=>3 [6,5,4,1,7,2,8,3]=>[8,6,4,3,2,1,5,7]=>3 [3,5,7,6,8,1,4,2]=>[8,2,6,1,4,3,7,5]=>4 [4,6,7,5,3,8,1,2]=>[2,7,1,5,4,3,8,6]=>4 [3,1,7,2,6,4,5,8]=>[1,6,7,4,5,2,3,8]=>3 [3,1,7,8,4,6,5,2]=>[8,5,1,3,7,6,2,4]=>4 [4,3,6,2,7,5,1,8]=>[1,7,2,4,3,6,5,8]=>3 [1,8,7,6,5,2,4,3]=>[8,6,7,5,4,3,1,2]=>5 [4,2,6,7,3,5,1,8]=>[1,5,3,7,2,6,4,8]=>3 [8,6,2,4,7,3,5,1]=>[4,6,8,3,2,7,5,1]=>2 [2,5,3,8,7,6,1,4]=>[2,7,8,6,1,3,5,4]=>3 [6,8,7,5,3,2,1,4]=>[1,7,6,5,8,4,3,2]=>3 [1,8,4,6,5,7,2,3]=>[7,3,5,4,8,6,1,2]=>4 [1,4,3,2,5,8,6,7]=>[3,2,7,8,1,4,5,6]=>5 [7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,1,7]=>3 [7,4,3,8,2,5,6,1]=>[3,2,5,6,1,8,7,4]=>3 [7,2,8,1,3,6,4,5]=>[7,8,2,4,5,1,6,3]=>4 [4,5,2,7,3,6,1,8]=>[1,5,2,7,3,6,4,8]=>3 [4,5,3,6,1,8,2,7]=>[1,3,2,7,4,8,5,6]=>4 [7,4,3,8,2,1,5,6]=>[3,2,6,5,7,1,8,4]=>4 [6,5,7,2,8,4,3,1]=>[2,1,8,7,4,3,6,5]=>4 [4,1,8,5,6,2,3,7]=>[1,6,4,7,5,8,2,3]=>4 [5,8,4,2,3,6,1,7]=>[4,1,5,3,7,6,8,2]=>4 [1,2,3,8,4,5,7,6]=>[8,5,6,7,1,2,3,4]=>6 [1,2,8,3,6,4,5,7]=>[6,7,4,5,8,1,2,3]=>5 [5,4,8,6,1,7,2,3]=>[2,1,7,8,5,4,6,3]=>3 [5,4,8,7,1,6,2,3]=>[2,1,7,8,5,6,4,3]=>4 [1,2,7,6,3,8,4,5]=>[7,8,5,4,1,2,3,6]=>4 [1,2,3,8,4,7,6,5]=>[8,7,5,6,1,2,3,4]=>5 [4,3,6,7,2,1,5,8]=>[1,6,2,5,3,7,4,8]=>3 [4,3,1,8,2,6,5,7]=>[2,1,7,5,6,8,3,4]=>5 [7,6,2,8,3,5,4,1]=>[8,5,7,3,2,1,6,4]=>4 [3,1,4,8,2,6,5,7]=>[1,7,3,5,6,8,2,4]=>5 [5,3,8,6,7,4,1,2]=>[1,7,4,8,2,6,5,3]=>4 [1,3,8,6,4,7,5,2]=>[8,5,4,7,2,6,1,3]=>4 [8,6,7,5,1,4,3,2]=>[8,7,5,2,6,4,3,1]=>4 [5,8,3,6,2,1,4,7]=>[3,1,6,5,7,4,8,2]=>4 [5,8,4,2,6,1,3,7]=>[4,1,6,3,7,5,8,2]=>4 [3,1,7,6,5,4,8,2]=>[6,5,1,4,3,8,2,7]=>4 [6,1,7,5,2,8,3,4]=>[7,8,5,4,2,1,3,6]=>2 [4,5,1,6,3,2,8,7]=>[1,5,4,2,8,3,6,7]=>4 [6,8,5,4,3,2,7,1]=>[1,6,5,4,3,8,7,2]=>3 [10,11,9,8,7,6,5,4,3,2,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>5 [6,3,1,7,8,5,4,2]=>[4,8,2,1,7,6,3,5]=>3 [2,5,7,8,4,1,6,3]=>[8,2,6,5,1,3,7,4]=>5 [6,4,7,2,3,5,8,1]=>[4,2,5,1,6,3,8,7]=>4 [3,4,7,8,2,5,6,1]=>[5,6,1,2,3,8,7,4]=>4 [3,6,5,4,1,8,7,2]=>[4,3,1,2,8,7,5,6]=>4 [5,2,6,1,7,8,4,3]=>[5,3,1,8,2,7,4,6]=>4 [1,2,3,4,5,9,6,7,8]=>[7,8,9,1,2,3,4,5,6]=>6 [1,2,3,4,9,5,6,7,8]=>[6,7,8,9,1,2,3,4,5]=>5 [1,2,3,4,5,6,7,10,8,9]=>[9,10,1,2,3,4,5,6,7,8]=>8 [1,2,3,4,5,6,10,7,8,9]=>[8,9,10,1,2,3,4,5,6,7]=>7 [1,2,3,4,5,10,6,7,8,9]=>[7,8,9,10,1,2,3,4,5,6]=>6 [1,2,3,4,10,5,6,7,8,9]=>[6,7,8,9,10,1,2,3,4,5]=>5 [8,1,7,2,6,5,4,3]=>[8,7,6,4,5,2,3,1]=>4 [8,5,7,6,4,2,3,1]=>[2,6,8,7,5,4,3,1]=>3 [8,7,6,4,5,1,3,2]=>[8,6,4,7,5,3,2,1]=>3 [8,7,6,1,5,2,4,3]=>[8,6,7,4,5,3,2,1]=>4 [6,4,3,5,8,2,1,7]=>[3,2,4,1,7,6,8,5]=>4 [6,4,5,3,8,2,1,7]=>[2,4,3,1,7,6,8,5]=>3 [5,6,3,4,8,2,1,7]=>[3,1,4,2,7,6,8,5]=>4 [7,2,5,6,4,8,1,3]=>[3,7,5,2,4,1,8,6]=>3 [4,1,8,6,5,3,2,7]=>[7,1,6,5,4,8,2,3]=>5 [2,3,6,1,8,5,7,4]=>[6,3,8,1,2,7,4,5]=>5 [1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>7 [1,8,2,7,6,5,4,3]=>[8,7,6,5,3,4,1,2]=>4 [7,6,2,5,4,3,1,8]=>[7,6,3,5,4,2,1,8]=>3 [1,8,7,2,6,5,4,3]=>[8,7,6,4,5,3,1,2]=>5 [2,7,1,3,8,6,5,4]=>[8,7,6,1,3,4,2,5]=>4 [1,8,2,7,5,4,6,3]=>[6,5,8,7,3,4,1,2]=>4 [7,6,3,8,5,4,1,2]=>[7,8,3,2,1,6,5,4]=>3 [7,2,8,6,1,5,3,4]=>[7,8,5,6,2,1,4,3]=>4 [2,6,7,3,1,8,4,5]=>[4,7,2,8,1,5,3,6]=>3 [8,7,4,3,2,1,6,5]=>[5,4,3,8,6,7,2,1]=>4 [1,8,3,2,6,4,5,7]=>[3,6,7,4,5,8,1,2]=>4 [2,5,6,8,3,4,1,7]=>[2,5,3,7,1,6,8,4]=>4 [5,4,6,3,8,2,1,7]=>[2,1,4,3,7,6,8,5]=>4 [4,5,6,2,7,1,3,8]=>[1,4,2,6,3,7,5,8]=>3 [8,7,1,6,5,2,4,3]=>[8,6,7,5,3,4,2,1]=>5 [6,2,3,8,4,7,5,1]=>[8,5,7,2,1,3,6,4]=>4 [3,2,8,7,4,5,1,6]=>[5,7,1,6,8,2,4,3]=>4 [8,6,4,7,3,1,2,5]=>[6,3,7,5,2,8,4,1]=>3 [5,2,4,3,7,1,8,6]=>[3,8,2,1,4,6,5,7]=>2 [5,1,8,7,6,4,3,2]=>[8,1,7,6,5,4,2,3]=>5 [5,4,8,7,3,6,1,2]=>[1,7,2,5,8,6,4,3]=>4 [5,7,4,2,8,1,3,6]=>[4,1,6,3,7,2,8,5]=>4 [6,5,2,7,1,3,8,4]=>[8,3,5,2,1,6,4,7]=>4 [7,5,8,4,6,3,2,1]=>[2,4,1,8,7,6,5,3]=>3 [8,6,2,7,1,4,5,3]=>[6,8,3,5,2,7,4,1]=>3 [8,1,3,2,4,5,6,7]=>[4,2,3,5,6,7,8,1]=>3 [3,2,5,1,4,6,8,7]=>[1,8,2,4,3,5,6,7]=>2 [4,5,2,7,1,6,8,3]=>[1,6,2,8,3,5,4,7]=>3 [6,1,8,7,5,4,3,2]=>[1,8,7,6,5,4,2,3]=>4 [6,2,3,8,1,4,5,7]=>[2,3,5,6,1,7,8,4]=>2 [8,4,3,6,2,1,5,7]=>[3,2,6,5,7,4,8,1]=>4 [4,6,2,3,7,8,1,5]=>[1,7,3,4,2,5,8,6]=>3 [8,4,6,1,3,5,7,2]=>[5,2,6,8,4,3,7,1]=>3 [5,7,1,4,6,3,8,2]=>[4,1,6,5,8,3,2,7]=>3 [4,5,2,7,3,1,8,6]=>[1,5,2,8,3,6,4,7]=>3 [4,8,2,6,3,5,7,1]=>[1,5,6,3,4,8,7,2]=>3 [8,4,7,6,2,5,3,1]=>[8,2,5,7,6,4,3,1]=>5 [4,8,7,6,1,5,3,2]=>[8,7,1,5,6,4,3,2]=>4 [7,3,8,4,2,1,6,5]=>[5,2,4,8,6,1,7,3]=>4 [8,7,4,6,3,5,2,1]=>[3,5,8,7,6,4,2,1]=>3 [8,3,4,7,2,5,6,1]=>[2,3,5,6,8,7,4,1]=>2 [5,4,8,6,2,1,3,7]=>[2,1,6,5,7,4,8,3]=>4 [6,4,2,8,5,1,7,3]=>[2,8,6,3,1,5,7,4]=>3 [3,1,7,5,4,2,8,6]=>[5,1,4,8,6,2,3,7]=>4 [4,5,1,3,6,8,2,7]=>[4,1,5,2,7,8,3,6]=>4 [6,8,7,5,1,4,3,2]=>[1,8,7,5,6,4,3,2]=>3 [6,4,7,2,3,8,1,5]=>[4,2,5,1,7,3,8,6]=>4 [8,7,4,5,1,6,2,3]=>[7,3,8,5,4,6,2,1]=>3 [2,5,6,1,4,8,3,7]=>[5,2,7,1,3,8,4,6]=>5 [1,2,3,4,8,5,7,6]=>[8,6,7,1,2,3,4,5]=>6 [1,8,4,5,3,6,2,7]=>[3,5,4,7,6,8,1,2]=>4 [1,8,5,3,4,7,2,6]=>[4,5,3,7,8,6,1,2]=>3 [3,6,2,7,1,4,5,8]=>[1,3,5,6,2,7,4,8]=>2 [4,6,5,3,7,1,8,2]=>[4,1,3,2,8,6,5,7]=>3 [6,4,3,5,8,2,7,1]=>[3,2,4,1,6,8,7,5]=>3 [5,2,3,4,8,1,6,7]=>[2,3,4,1,6,7,8,5]=>2 [3,5,2,4,7,1,6,8]=>[1,3,4,2,6,7,5,8]=>2 [7,6,3,8,5,1,2,4]=>[3,6,7,2,1,8,5,4]=>2 [4,2,3,5,6,8,1,7]=>[2,3,1,4,5,7,8,6]=>2 [6,8,7,4,2,5,3,1]=>[1,8,5,4,7,6,3,2]=>3 [3,6,2,8,4,7,1,5]=>[5,7,1,2,8,3,6,4]=>4 [6,5,4,8,3,2,7,1]=>[3,2,1,6,5,8,7,4]=>3 [5,4,6,8,3,1,2,7]=>[2,1,6,3,7,5,8,4]=>4 [5,8,7,6,4,1,2,3]=>[1,6,7,8,5,4,3,2]=>2 [7,4,3,5,2,8,1,6]=>[3,2,5,4,7,1,8,6]=>4 [5,6,7,2,8,1,3,4]=>[4,1,6,2,7,3,8,5]=>4 [4,7,6,8,3,2,5,1]=>[6,5,1,3,2,8,7,4]=>3 [5,4,8,3,2,6,1,7]=>[2,1,5,4,7,6,8,3]=>4 [1,8,5,6,2,3,4,7]=>[5,6,3,7,4,8,1,2]=>4 [5,4,7,3,6,2,8,1]=>[2,1,4,6,5,3,8,7]=>3 [6,4,5,3,8,2,7,1]=>[2,4,3,1,6,8,7,5]=>2 [5,4,6,3,8,2,7,1]=>[2,1,4,3,6,8,7,5]=>3 [5,1,8,6,4,3,2,7]=>[1,7,6,5,4,8,2,3]=>4 [4,3,6,1,5,8,7,2]=>[1,8,2,5,3,7,4,6]=>4 [6,7,3,2,8,1,4,5]=>[4,3,6,1,7,2,8,5]=>4 [6,8,3,2,5,1,4,7]=>[4,3,6,1,7,5,8,2]=>4 [7,2,8,6,5,4,3,1]=>[8,7,6,5,2,1,4,3]=>4 [6,7,3,8,1,2,4,5]=>[5,3,6,1,7,2,8,4]=>4 [7,5,3,2,4,8,1,6]=>[4,3,5,2,7,1,8,6]=>4 [8,4,5,2,6,1,3,7]=>[4,2,6,3,7,5,8,1]=>4 [5,6,3,7,8,1,2,4]=>[3,1,6,2,7,4,8,5]=>4 [5,6,3,7,2,4,8,1]=>[3,1,5,2,6,4,8,7]=>4 [5,6,7,2,3,8,1,4]=>[4,1,5,2,7,3,8,6]=>4 [7,4,5,2,8,1,3,6]=>[4,2,6,3,7,1,8,5]=>4 [6,7,3,2,4,8,1,5]=>[4,3,5,1,7,2,8,6]=>4 [1,7,3,8,5,6,4,2]=>[5,8,7,3,2,6,1,4]=>4 [7,5,8,1,3,6,4,2]=>[8,5,2,7,4,1,6,3]=>3 [7,4,8,1,2,5,6,3]=>[6,2,8,4,5,1,7,3]=>4 [4,6,2,7,5,1,8,3]=>[8,1,6,3,2,5,4,7]=>4 [4,5,2,6,1,8,7,3]=>[1,4,2,8,3,7,5,6]=>4 [4,5,1,2,8,7,6,3]=>[1,2,8,7,6,3,4,5]=>4 [5,2,8,1,3,7,6,4]=>[8,7,2,1,4,5,6,3]=>3 [8,6,5,2,1,4,3,7]=>[4,7,5,6,3,2,8,1]=>4 [1,8,2,7,3,6,5,4]=>[8,7,5,6,3,4,1,2]=>4 [8,2,3,1,4,6,5,7]=>[2,3,7,4,5,6,8,1]=>4 [8,3,1,7,5,4,6,2]=>[6,2,5,8,7,3,4,1]=>4 [5,2,3,4,8,7,1,6]=>[7,8,2,1,3,4,6,5]=>2 [8,2,7,5,1,6,3,4]=>[7,8,5,2,4,6,3,1]=>3 [8,7,5,1,4,6,2,3]=>[7,5,8,4,3,6,2,1]=>3 [3,1,6,8,7,5,2,4]=>[3,7,8,1,6,5,2,4]=>4 [6,3,8,7,5,2,4,1]=>[6,1,8,7,2,5,4,3]=>4 [6,4,2,8,1,5,7,3]=>[6,2,8,3,1,5,7,4]=>3 [6,3,7,2,8,5,4,1]=>[8,7,2,1,4,3,6,5]=>4 [6,1,4,8,7,2,5,3]=>[8,3,6,1,7,5,2,4]=>4 [2,7,5,3,8,6,4,1]=>[3,8,7,4,1,2,6,5]=>4 [4,2,8,6,5,7,1,3]=>[7,1,5,4,8,2,6,3]=>4 [4,6,8,3,5,2,7,1]=>[4,1,2,6,5,8,7,3]=>4 [1,3,7,5,6,2,4,8]=>[6,4,7,2,5,1,3,8]=>4 [1,5,4,6,2,3,7,8]=>[5,3,2,6,1,4,7,8]=>3 [7,3,6,8,5,2,4,1]=>[6,3,8,2,1,7,5,4]=>3 [2,7,8,5,4,6,3,1]=>[5,4,2,8,7,1,6,3]=>3 [9,8,7,6,5,4,3,1,2,10]=>[8,9,7,6,5,4,3,2,1,10]=>4 [8,7,6,5,4,2,1,3,9]=>[7,6,8,5,4,3,2,1,9]=>4 [1,8,7,6,2,5,4,3]=>[8,7,5,6,4,3,1,2]=>4 [1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>5 [1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>6 [1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>6 [1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>7 [1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>6 [1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>6 [1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>7 [1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>8 [1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>8 [8,1,4,6,2,7,5,3]=>[8,3,7,5,2,4,6,1]=>5 [8,6,4,7,1,2,5,3]=>[8,5,3,6,2,7,4,1]=>3 [7,3,8,1,5,2,4,6]=>[2,6,7,4,5,1,8,3]=>3 [1,8,4,2,3,6,7,5]=>[6,3,8,4,5,7,1,2]=>5 [2,5,8,3,4,6,7,1]=>[4,2,5,6,8,1,7,3]=>3 [4,1,7,2,3,6,8,5]=>[6,1,8,4,5,2,3,7]=>4 [4,6,2,1,5,7,8,3]=>[3,1,5,6,2,8,4,7]=>4 [4,5,2,3,1,7,8,6]=>[3,1,4,2,6,8,5,7]=>4 [3,2,6,7,4,1,8,5]=>[5,1,3,8,2,6,4,7]=>4 [5,6,2,7,1,4,8,3]=>[6,1,8,3,2,5,4,7]=>3 [6,2,3,8,1,7,4,5]=>[7,8,2,3,1,5,6,4]=>3 [4,6,2,7,5,1,3,8]=>[1,6,7,3,2,5,4,8]=>2 [2,6,3,1,8,4,5,7]=>[3,6,7,1,2,8,4,5]=>4 [5,4,2,3,7,8,6,1]=>[5,2,1,8,3,4,7,6]=>4 [4,2,8,1,7,3,5,6]=>[6,1,7,8,2,4,5,3]=>4 [4,1,8,7,5,3,6,2]=>[6,1,5,8,7,4,2,3]=>5 [2,1,7,8,4,6,5,3]=>[8,5,3,7,1,6,2,4]=>4 [7,6,3,8,1,5,4,2]=>[8,3,7,5,2,1,6,4]=>4 [7,4,8,2,3,1,5,6]=>[4,2,6,5,7,1,8,3]=>4 [8,3,1,5,7,2,6,4]=>[2,4,8,6,7,3,5,1]=>3 [8,4,5,1,7,2,6,3]=>[2,8,6,3,7,4,5,1]=>3 [6,7,1,8,5,4,2,3]=>[7,1,8,6,5,3,2,4]=>3 [3,7,5,1,6,8,2,4]=>[7,5,1,3,8,4,2,6]=>3 [7,4,1,5,8,3,2,6]=>[4,2,7,6,8,3,1,5]=>3 [5,2,8,7,6,4,3,1]=>[8,1,7,6,5,2,4,3]=>4 [6,4,1,3,2,7,8,5]=>[4,6,2,8,3,1,5,7]=>2 [8,1,4,7,2,5,6,3]=>[3,6,8,5,7,2,4,1]=>3 [6,1,7,4,3,8,2,5]=>[5,4,7,3,1,8,2,6]=>4 [7,3,6,4,5,8,2,1]=>[4,5,2,3,1,8,7,6]=>3 [8,1,2,4,3,5,6,7]=>[5,2,3,4,6,7,8,1]=>4 [6,8,5,4,7,3,2,1]=>[1,4,3,8,7,6,5,2]=>3 [3,2,5,1,4,7,6,8]=>[1,7,2,4,3,5,6,8]=>2 [1,9,2,8,7,6,5,4,3]=>[9,8,7,6,5,3,4,1,2]=>5 [1,8,2,6,4,7,5,3]=>[8,5,4,7,3,6,1,2]=>4 [3,6,8,5,7,4,1,2]=>[2,7,4,8,1,6,5,3]=>4 [2,4,7,8,1,6,5,3]=>[8,7,2,5,1,3,6,4]=>4 [6,1,3,8,2,7,5,4]=>[8,7,3,5,1,6,2,4]=>4 [7,2,3,4,8,6,5,1]=>[8,7,2,3,4,1,6,5]=>4 [4,3,7,1,5,2,8,6]=>[2,1,5,8,4,6,3,7]=>3 [5,8,3,7,2,1,6,4]=>[3,1,5,8,6,7,4,2]=>4 [5,8,3,7,4,6,2,1]=>[1,5,8,3,7,6,4,2]=>3 [3,1,6,7,8,4,2,5]=>[3,7,1,6,4,8,2,5]=>4 [8,4,1,6,5,3,2,7]=>[2,7,6,5,3,4,8,1]=>4 [8,3,2,6,5,4,1,7]=>[7,2,6,3,5,4,8,1]=>4 [2,1,5,7,8,3,6,4]=>[8,3,6,1,4,7,2,5]=>5 [5,1,6,8,3,7,4,2]=>[3,1,8,5,7,6,2,4]=>5 [7,2,4,8,6,1,5,3]=>[8,3,6,7,2,1,5,4]=>5 [6,5,3,2,4,1,8,7]=>[4,3,5,2,1,8,6,7]=>4 [6,4,7,5,2,8,3,1]=>[8,2,1,5,4,3,7,6]=>3 [8,4,6,3,1,2,5,7]=>[5,2,6,4,7,3,8,1]=>4 [5,7,4,8,1,2,3,6]=>[5,1,6,3,7,2,8,4]=>4 [5,7,8,4,6,3,2,1]=>[4,1,2,8,7,6,5,3]=>4 [8,6,2,1,5,7,4,3]=>[5,8,3,7,4,2,6,1]=>4 [8,1,2,7,4,5,3,6]=>[5,7,6,8,2,3,4,1]=>4 [7,3,2,1,6,4,5,8]=>[3,2,6,7,4,5,1,8]=>3 [8,6,3,1,5,4,2,7]=>[3,7,6,4,5,2,8,1]=>3 [4,5,2,1,8,6,7,3]=>[1,6,2,8,3,7,4,5]=>4 [6,5,3,1,4,8,2,7]=>[5,3,7,2,1,8,4,6]=>4 [7,3,8,6,4,1,5,2]=>[8,6,2,5,1,7,4,3]=>3 [4,5,2,6,7,3,1,8]=>[1,4,2,7,3,6,5,8]=>3 [4,3,6,2,1,8,7,5]=>[1,8,2,4,3,7,5,6]=>4 [8,2,1,5,6,7,3,4]=>[4,7,2,5,8,3,6,1]=>4 [5,6,8,2,3,4,1,7]=>[4,1,5,2,7,6,8,3]=>4 [6,2,8,7,5,4,1,3]=>[7,1,8,6,5,2,4,3]=>4 [4,8,5,1,3,7,2,6]=>[1,5,7,3,8,4,6,2]=>3 [2,1,3,4,5,6,8,9,7]=>[1,7,9,2,3,4,5,6,8]=>6 [2,1,3,4,5,6,7,9,8]=>[1,9,2,3,4,5,6,7,8]=>7 [1,3,2,4,5,6,7,9,8]=>[2,9,1,3,4,5,6,7,8]=>7 [2,1,3,4,5,6,7,8,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>8 [8,4,1,7,6,3,2,5]=>[2,7,6,8,5,3,4,1]=>3 [5,4,1,8,6,3,2,7]=>[2,1,7,6,5,8,3,4]=>4 [1,7,5,2,6,4,8,3]=>[6,5,3,8,4,1,2,7]=>3 [7,6,4,3,1,5,2,8]=>[7,5,4,3,6,2,1,8]=>3 [8,1,3,7,6,5,4,2]=>[8,7,6,3,5,2,4,1]=>4 [6,7,1,2,4,8,5,3]=>[8,5,7,3,1,4,2,6]=>4 [1,2,8,3,7,4,6,5]=>[8,6,7,4,5,1,2,3]=>5 [1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]=>7 [1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>8 [1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>6 [6,1,7,4,8,5,3,2]=>[8,4,3,1,7,6,2,5]=>4 [1,2,8,7,3,4,6,5]=>[8,5,6,7,4,1,2,3]=>6 [1,6,7,8,2,4,3,5]=>[7,5,2,6,3,8,1,4]=>4 [3,5,4,7,8,1,2,6]=>[3,1,2,6,7,4,8,5]=>4 [1,3,7,8,5,6,2,4]=>[7,5,3,8,2,6,1,4]=>4 [6,8,5,4,1,7,2,3]=>[7,1,8,5,4,3,6,2]=>4 [4,5,2,6,7,1,8,3]=>[1,4,2,8,3,6,5,7]=>3 [1,4,2,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>2 [7,2,6,5,3,4,1,8]=>[5,7,6,2,4,3,1,8]=>3 [7,6,1,5,2,4,3,8]=>[7,5,6,3,4,2,1,8]=>4 [8,7,3,1,6,4,2,5]=>[3,7,6,8,4,5,2,1]=>4 [6,3,7,4,8,2,5,1]=>[4,6,2,1,3,8,7,5]=>2 [8,7,6,4,2,5,3,1]=>[8,5,4,7,6,3,2,1]=>3 [5,8,6,1,7,3,2,4]=>[1,7,6,8,4,3,5,2]=>3 [2,5,7,1,8,4,3,6]=>[2,7,6,8,1,4,3,5]=>3 [2,7,1,3,8,4,6,5]=>[8,6,7,1,3,4,2,5]=>4 [8,7,3,1,4,5,6,2]=>[5,3,6,8,4,7,2,1]=>4 [3,6,7,5,8,2,1,4]=>[2,7,6,1,4,3,8,5]=>3 [4,3,6,5,1,8,2,7]=>[1,7,2,4,3,8,5,6]=>4 [8,5,1,7,6,4,3,2]=>[2,8,7,6,5,3,4,1]=>3 [1,4,6,7,8,3,2,5]=>[3,7,2,6,4,8,1,5]=>4 [8,7,2,1,5,4,6,3]=>[6,3,5,8,4,7,2,1]=>5 [4,7,1,8,6,5,3,2]=>[8,7,1,6,5,3,2,4]=>3 [8,4,6,2,3,1,5,7]=>[4,2,6,5,7,3,8,1]=>4 [8,7,6,1,5,4,2,3]=>[7,8,6,4,5,3,2,1]=>3 [6,1,4,8,5,2,7,3]=>[8,3,6,5,1,7,2,4]=>5 [8,6,2,7,5,4,3,1]=>[8,7,6,3,2,5,4,1]=>3 [3,7,6,1,8,5,4,2]=>[8,7,6,1,4,3,2,5]=>4 [1,2,3,4,9,5,6,8,7]=>[9,6,7,8,1,2,3,4,5]=>7 [1,2,3,4,5,9,6,8,7]=>[9,7,8,1,2,3,4,5,6]=>7 [1,2,3,4,10,5,6,7,9,8]=>[10,6,7,8,9,1,2,3,4,5]=>8 [1,2,3,4,5,10,6,7,9,8]=>[10,7,8,9,1,2,3,4,5,6]=>8 [6,8,7,3,5,4,2,1]=>[1,8,4,7,6,5,3,2]=>4 [5,8,3,4,6,1,7,2]=>[3,1,4,8,6,5,7,2]=>3 [3,2,1,6,4,7,5,8]=>[1,7,2,5,3,4,6,8]=>3 [1,2,8,4,6,3,7,5]=>[8,4,6,5,7,1,2,3]=>5 [6,4,3,2,8,7,1,5]=>[3,2,7,1,8,4,6,5]=>4 [7,2,5,3,4,6,1,8]=>[4,5,2,3,7,6,1,8]=>3 [7,6,4,2,5,3,1,8]=>[7,4,3,6,5,2,1,8]=>3 [1,7,2,6,3,4,8,5]=>[8,5,6,3,4,1,2,7]=>4 [9,1,3,2,4,5,6,7,8]=>[4,2,3,5,6,7,8,9,1]=>3 [6,5,2,4,8,7,1,3]=>[4,7,2,1,8,3,6,5]=>3 [5,7,4,2,3,6,8,1]=>[4,1,5,3,6,2,8,7]=>4 [5,4,7,3,2,8,1,6]=>[2,1,5,4,7,3,8,6]=>4 [6,8,3,2,4,5,1,7]=>[4,3,5,1,7,6,8,2]=>4 [6,4,3,8,5,1,2,7]=>[3,2,6,1,7,5,8,4]=>4 [5,4,6,8,2,3,1,7]=>[2,1,5,3,7,6,8,4]=>4 [6,4,8,5,1,2,3,7]=>[5,2,6,1,7,4,8,3]=>4 [5,4,7,8,2,1,3,6]=>[2,1,6,5,7,3,8,4]=>4 [5,8,6,3,1,2,4,7]=>[5,1,6,4,7,3,8,2]=>4 [6,4,8,7,3,5,2,1]=>[5,1,8,2,7,6,4,3]=>4 [4,1,5,8,6,2,3,7]=>[3,1,6,7,5,8,2,4]=>4 [4,3,1,8,5,2,6,7]=>[2,1,6,5,7,8,3,4]=>4 [1,6,8,7,5,3,2,4]=>[2,7,6,8,5,4,1,3]=>4 [3,4,6,5,8,2,7,1]=>[4,1,2,3,6,8,7,5]=>4 [7,1,3,6,5,2,8,4]=>[8,6,3,5,2,4,1,7]=>3 [1,4,7,5,2,3,8,6]=>[8,2,5,4,6,1,3,7]=>4 [2,8,6,4,7,3,5,1]=>[4,6,3,8,7,1,5,2]=>3 [8,7,1,4,6,5,3,2]=>[8,4,7,6,3,5,2,1]=>5 [1,2,4,6,8,5,3,7]=>[4,7,3,6,8,1,2,5]=>5 [3,1,5,8,6,2,4,7]=>[1,3,6,7,5,8,2,4]=>3 [2,4,3,8,7,1,6,5]=>[8,2,6,7,1,3,5,4]=>5 [6,8,7,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]=>3 [6,5,7,4,8,3,9,2,10,1]=>[2,1,4,3,6,5,8,7,10,9]=>5 [8,7,6,3,1,5,4,2]=>[4,8,7,5,6,3,2,1]=>3 [8,2,4,6,7,1,5,3]=>[8,3,6,2,4,7,5,1]=>4 [1,6,5,4,7,2,3,8]=>[6,4,3,2,7,1,5,8]=>4 [8,4,2,7,6,5,3,1]=>[8,2,7,6,3,5,4,1]=>5 [5,3,7,1,2,8,4,6]=>[2,7,1,8,4,5,3,6]=>3 [1,7,5,3,6,2,8,4]=>[8,4,3,6,5,1,2,7]=>3 [3,7,6,1,8,2,4,5]=>[6,7,8,1,4,3,2,5]=>3 [2,6,7,8,4,3,1,5]=>[2,7,6,5,1,3,8,4]=>4 [4,5,2,1,8,7,3,6]=>[1,7,2,8,3,6,4,5]=>4 [7,1,5,4,6,2,3,8]=>[6,4,3,7,2,5,1,8]=>3 [8,3,1,6,4,2,5,7]=>[2,6,5,7,3,4,8,1]=>4 [2,1,3,4,5,6,9,7,8]=>[1,8,9,2,3,4,5,6,7]=>6 [1,2,3,4,5,6,7,8,10,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>9 [1,2,3,4,5,7,8,6,9]=>[6,8,1,2,3,4,5,7,9]=>6 [2,1,3,4,5,6,7,10,8,9]=>[1,9,10,2,3,4,5,6,7,8]=>7 [6,1,5,8,4,3,2,7]=>[3,7,6,5,1,8,2,4]=>4 [6,2,7,5,8,4,1,3]=>[7,4,3,1,8,2,6,5]=>4 [6,8,7,5,4,2,3,1]=>[1,6,8,7,5,4,3,2]=>3 [6,1,3,8,4,5,2,7]=>[5,7,3,6,1,8,2,4]=>4 [3,2,4,5,7,8,1,6]=>[1,7,2,3,4,5,8,6]=>5 [3,5,1,4,7,2,8,6]=>[8,1,4,2,6,3,5,7]=>4 [6,7,5,1,3,8,2,4]=>[5,7,1,8,4,3,2,6]=>3 [7,6,8,5,9,4,10,3,11,2,12,1]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>6 [4,3,6,5,1,7,8,2]=>[1,6,2,4,3,8,5,7]=>4 [2,3,4,5,6,8,7,9,1]=>[7,1,2,3,4,5,6,9,8]=>7 [1,2,8,3,4,7,6,5]=>[8,7,4,5,6,1,2,3]=>5 [1,2,6,5,3,8,4,7]=>[7,4,3,8,1,2,5,6]=>5 [4,5,2,7,6,1,3,8]=>[1,6,2,7,3,5,4,8]=>3 [4,3,6,5,7,1,2,8]=>[1,6,2,4,3,7,5,8]=>3 [3,4,1,8,6,7,5,2]=>[5,8,1,2,7,6,3,4]=>5 [3,1,2,4,5,6,7,9,8]=>[9,2,1,3,4,5,6,7,8]=>1 [4,5,6,2,1,7,8,3]=>[1,4,2,6,3,8,5,7]=>4 [6,5,7,2,1,8,4,3]=>[8,4,2,1,7,5,3,6]=>3 [3,1,2,8,7,6,4,5]=>[7,8,1,6,5,2,3,4]=>5 [8,3,6,1,2,7,4,5]=>[2,7,8,4,5,3,6,1]=>3 [6,2,4,3,7,5,8,1]=>[3,6,2,4,1,5,8,7]=>3 [2,1,7,3,8,6,4,5]=>[7,8,6,1,4,2,3,5]=>3 [5,1,7,8,4,2,3,6]=>[6,1,7,5,3,8,2,4]=>4 [1,5,8,2,6,4,3,7]=>[2,7,6,4,5,8,1,3]=>4 [4,3,6,1,8,5,2,7]=>[1,7,2,6,3,8,4,5]=>4 [3,2,8,4,7,5,6,1]=>[6,8,1,4,7,2,5,3]=>4 [1,6,5,7,4,2,8,3]=>[3,2,8,6,5,1,4,7]=>4 [8,1,7,6,2,5,4,3]=>[8,7,5,6,4,2,3,1]=>4 [1,3,2,5,4,7,6,9,10,8]=>[2,4,6,8,10,1,3,5,7,9]=>5 [1,3,2,5,4,6,8,9,10,7]=>[2,4,7,8,10,1,3,5,6,9]=>5 [1,3,2,4,6,7,5,9,10,8]=>[2,5,6,8,10,1,3,4,7,9]=>5 [1,3,2,4,6,5,8,9,10,7]=>[2,5,7,8,10,1,3,4,6,9]=>5 [1,3,2,4,5,7,8,9,10,6]=>[2,6,7,8,10,1,3,4,5,9]=>5 [1,2,4,5,3,7,6,9,10,8]=>[3,4,6,8,10,1,2,5,7,9]=>5 [1,2,4,5,3,6,8,9,10,7]=>[3,4,7,8,10,1,2,5,6,9]=>5 [1,2,4,3,6,7,5,9,10,8]=>[3,5,6,8,10,1,2,4,7,9]=>5 [1,2,4,3,6,5,8,9,10,7]=>[3,5,7,8,10,1,2,4,6,9]=>5 [1,2,4,3,5,7,8,9,10,6]=>[3,6,7,8,10,1,2,4,5,9]=>5 [1,2,3,5,6,7,4,9,10,8]=>[4,5,6,8,10,1,2,3,7,9]=>5 [1,2,3,5,6,4,8,9,10,7]=>[4,5,7,8,10,1,2,3,6,9]=>5 [1,2,3,5,4,7,8,9,10,6]=>[4,6,7,8,10,1,2,3,5,9]=>5 [1,3,2,5,4,7,6,9,8,11,12,10]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>6 [1,3,2,5,4,7,6,8,10,11,12,9]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>6 [1,3,2,5,4,6,8,9,7,11,12,10]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>6 [1,3,2,5,4,6,8,7,10,11,12,9]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>6 [1,3,2,5,4,6,7,9,10,11,12,8]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>6 [1,3,2,4,6,7,5,9,8,11,12,10]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>6 [1,3,2,4,6,7,5,8,10,11,12,9]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>6 [1,3,2,4,6,5,8,9,7,11,12,10]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>6 [1,3,2,4,6,5,8,7,10,11,12,9]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>6 [1,3,2,4,6,5,7,9,10,11,12,8]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>6 [1,3,2,4,5,7,8,9,6,11,12,10]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>6 [1,3,2,4,5,7,8,6,10,11,12,9]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>6 [1,3,2,4,5,7,6,9,10,11,12,8]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>6 [1,3,2,4,5,6,8,9,10,11,12,7]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>6 [1,2,4,5,3,7,6,9,8,11,12,10]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>6 [1,2,4,5,3,7,6,8,10,11,12,9]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>6 [1,2,4,5,3,6,8,9,7,11,12,10]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>6 [1,2,4,5,3,6,8,7,10,11,12,9]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>6 [1,2,4,5,3,6,7,9,10,11,12,8]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>6 [1,2,4,3,6,7,5,9,8,11,12,10]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>6 [1,2,4,3,6,7,5,8,10,11,12,9]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>6 [1,2,4,3,6,5,8,9,7,11,12,10]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>6 [1,2,4,3,6,5,8,7,10,11,12,9]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>6 [1,2,4,3,6,5,7,9,10,11,12,8]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>6 [1,2,4,3,5,7,8,9,6,11,12,10]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>6 [1,2,4,3,5,7,8,6,10,11,12,9]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>6 [1,2,4,3,5,7,6,9,10,11,12,8]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>6 [1,2,4,3,5,6,8,9,10,11,12,7]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>6 [1,2,3,5,6,7,4,9,8,11,12,10]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>6 [1,2,3,5,6,7,4,8,10,11,12,9]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>6 [1,2,3,5,6,4,8,9,7,11,12,10]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>6 [1,2,3,5,6,4,8,7,10,11,12,9]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>6 [1,2,3,5,6,4,7,9,10,11,12,8]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>6 [1,2,3,5,4,7,8,9,6,11,12,10]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>6 [1,2,3,5,4,7,8,6,10,11,12,9]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>6 [1,2,3,5,4,7,6,9,10,11,12,8]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>6 [1,2,3,5,4,6,8,9,10,11,12,7]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>6 [1,2,3,4,6,7,8,9,5,11,12,10]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>6 [1,2,3,4,6,7,8,5,10,11,12,9]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>6 [1,2,3,4,6,7,5,9,10,11,12,8]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>6 [1,2,3,4,6,5,8,9,10,11,12,7]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>6 [1,2,3,4,5,7,8,9,10,11,12,6]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>6 [5,4,3,8,1,7,2,6]=>[3,2,1,7,8,5,6,4]=>3 [6,8,7,5,4,2,1,3]=>[1,7,6,8,5,4,3,2]=>3 [5,2,3,8,7,1,4,6]=>[6,7,1,8,2,3,5,4]=>4 [2,4,8,6,5,7,1,3]=>[7,5,2,4,8,1,6,3]=>4 [8,2,1,5,6,4,7,3]=>[4,6,2,5,8,3,7,1]=>4 [3,2,7,5,8,6,4,1]=>[8,4,1,3,7,2,6,5]=>4 [6,1,8,5,4,7,3,2]=>[5,4,1,8,7,6,2,3]=>4 [4,1,8,5,7,2,6,3]=>[1,4,8,6,7,5,2,3]=>4 [8,6,7,4,3,1,5,2]=>[8,6,5,4,2,7,3,1]=>3 [4,7,1,8,5,3,2,6]=>[7,1,6,5,8,3,2,4]=>3 [8,6,7,1,4,3,5,2]=>[6,5,8,4,2,7,3,1]=>3 [8,6,7,2,1,3,5,4]=>[4,8,5,6,2,7,3,1]=>3 [8,5,6,1,7,4,2,3]=>[7,2,8,6,4,3,5,1]=>4 [6,1,5,4,2,7,8,3]=>[6,4,3,8,2,1,5,7]=>2 [4,5,6,1,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>4 [6,5,1,2,7,4,8,3]=>[6,5,8,3,2,1,4,7]=>3 [6,8,7,5,3,4,2,1]=>[1,5,8,7,6,4,3,2]=>3 [1,3,2,5,4,7,6,10,8,9]=>[2,4,6,9,10,1,3,5,7,8]=>5 [8,7,6,5,4,2,3,1,9]=>[6,8,7,5,4,3,2,1,9]=>3
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Description
The lec statistic, the sum of the inversion numbers of the hook factors of a permutation.
For a permutation $\sigma = p \tau_{1} \tau_{2} \cdots \tau_{k}$ in its hook factorization, [1] defines $$ \textrm{lec} \, \sigma = \sum_{1 \leq i \leq k} \textrm{inv} \, \tau_{i} \, ,$$ where $\textrm{inv} \, \tau_{i}$ is the number of inversions of $\tau_{i}$.
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.