Identifier
Values
=>
[1,2]=>[1,2]=>0 [2,1]=>[2,1]=>1 [1,2,3]=>[1,2,3]=>0 [1,3,2]=>[1,3,2]=>2 [2,1,3]=>[2,1,3]=>1 [2,3,1]=>[3,1,2]=>1 [3,1,2]=>[2,3,1]=>2 [3,2,1]=>[3,2,1]=>3 [1,2,3,4]=>[1,2,3,4]=>0 [1,2,4,3]=>[1,2,4,3]=>3 [1,3,2,4]=>[1,3,2,4]=>2 [1,3,4,2]=>[1,4,2,3]=>2 [1,4,2,3]=>[1,3,4,2]=>3 [1,4,3,2]=>[1,4,3,2]=>5 [2,1,3,4]=>[2,1,3,4]=>1 [2,1,4,3]=>[2,1,4,3]=>4 [2,3,1,4]=>[3,1,2,4]=>1 [2,3,4,1]=>[4,1,2,3]=>1 [2,4,1,3]=>[3,4,1,2]=>2 [2,4,3,1]=>[4,3,1,2]=>4 [3,1,2,4]=>[2,3,1,4]=>2 [3,1,4,2]=>[4,2,3,1]=>4 [3,2,1,4]=>[3,2,1,4]=>3 [3,2,4,1]=>[4,1,3,2]=>3 [3,4,1,2]=>[2,4,1,3]=>2 [3,4,2,1]=>[4,2,1,3]=>3 [4,1,2,3]=>[2,3,4,1]=>3 [4,1,3,2]=>[3,2,4,1]=>5 [4,2,1,3]=>[3,4,2,1]=>4 [4,2,3,1]=>[3,1,4,2]=>4 [4,3,1,2]=>[2,4,3,1]=>5 [4,3,2,1]=>[4,3,2,1]=>6 [1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,5,4]=>[1,2,3,5,4]=>4 [1,2,4,3,5]=>[1,2,4,3,5]=>3 [1,2,4,5,3]=>[1,2,5,3,4]=>3 [1,2,5,3,4]=>[1,2,4,5,3]=>4 [1,2,5,4,3]=>[1,2,5,4,3]=>7 [1,3,2,4,5]=>[1,3,2,4,5]=>2 [1,3,2,5,4]=>[1,3,2,5,4]=>6 [1,3,4,2,5]=>[1,4,2,3,5]=>2 [1,3,4,5,2]=>[1,5,2,3,4]=>2 [1,3,5,2,4]=>[1,4,5,2,3]=>3 [1,3,5,4,2]=>[1,5,4,2,3]=>6 [1,4,2,3,5]=>[1,3,4,2,5]=>3 [1,4,2,5,3]=>[1,5,3,4,2]=>6 [1,4,3,2,5]=>[1,4,3,2,5]=>5 [1,4,3,5,2]=>[1,5,2,4,3]=>5 [1,4,5,2,3]=>[1,3,5,2,4]=>3 [1,4,5,3,2]=>[1,5,3,2,4]=>5 [1,5,2,3,4]=>[1,3,4,5,2]=>4 [1,5,2,4,3]=>[1,4,3,5,2]=>7 [1,5,3,2,4]=>[1,4,5,3,2]=>6 [1,5,3,4,2]=>[1,4,2,5,3]=>6 [1,5,4,2,3]=>[1,3,5,4,2]=>7 [1,5,4,3,2]=>[1,5,4,3,2]=>9 [2,1,3,4,5]=>[2,1,3,4,5]=>1 [2,1,3,5,4]=>[2,1,3,5,4]=>5 [2,1,4,3,5]=>[2,1,4,3,5]=>4 [2,1,4,5,3]=>[2,1,5,3,4]=>4 [2,1,5,3,4]=>[2,1,4,5,3]=>5 [2,1,5,4,3]=>[2,1,5,4,3]=>8 [2,3,1,4,5]=>[3,1,2,4,5]=>1 [2,3,1,5,4]=>[3,1,2,5,4]=>5 [2,3,4,1,5]=>[4,1,2,3,5]=>1 [2,3,4,5,1]=>[5,1,2,3,4]=>1 [2,3,5,1,4]=>[4,5,1,2,3]=>2 [2,3,5,4,1]=>[5,4,1,2,3]=>5 [2,4,1,3,5]=>[3,4,1,2,5]=>2 [2,4,1,5,3]=>[5,3,4,1,2]=>5 [2,4,3,1,5]=>[4,3,1,2,5]=>4 [2,4,3,5,1]=>[5,1,2,4,3]=>4 [2,4,5,1,3]=>[3,5,1,2,4]=>2 [2,4,5,3,1]=>[5,3,1,2,4]=>4 [2,5,1,3,4]=>[3,4,5,1,2]=>3 [2,5,1,4,3]=>[4,3,5,1,2]=>6 [2,5,3,1,4]=>[4,5,3,1,2]=>5 [2,5,3,4,1]=>[4,1,2,5,3]=>5 [2,5,4,1,3]=>[3,5,4,1,2]=>6 [2,5,4,3,1]=>[5,4,3,1,2]=>8 [3,1,2,4,5]=>[2,3,1,4,5]=>2 [3,1,2,5,4]=>[2,3,1,5,4]=>6 [3,1,4,2,5]=>[4,2,3,1,5]=>4 [3,1,4,5,2]=>[5,2,3,1,4]=>4 [3,1,5,2,4]=>[4,5,2,3,1]=>5 [3,1,5,4,2]=>[5,4,2,3,1]=>8 [3,2,1,4,5]=>[3,2,1,4,5]=>3 [3,2,1,5,4]=>[3,2,1,5,4]=>7 [3,2,4,1,5]=>[4,1,3,2,5]=>3 [3,2,4,5,1]=>[5,1,3,2,4]=>3 [3,2,5,1,4]=>[4,5,1,3,2]=>4 [3,2,5,4,1]=>[5,4,1,3,2]=>7 [3,4,1,2,5]=>[2,4,1,3,5]=>2 [3,4,1,5,2]=>[5,2,4,1,3]=>4 [3,4,2,1,5]=>[4,2,1,3,5]=>3 [3,4,2,5,1]=>[5,1,4,2,3]=>3 [3,4,5,1,2]=>[2,5,1,3,4]=>2 [3,4,5,2,1]=>[5,2,1,3,4]=>3 [3,5,1,2,4]=>[2,4,5,1,3]=>3 [3,5,1,4,2]=>[4,2,5,1,3]=>5 [3,5,2,1,4]=>[4,5,2,1,3]=>4 [3,5,2,4,1]=>[4,1,5,2,3]=>4 [3,5,4,1,2]=>[2,5,4,1,3]=>6 [3,5,4,2,1]=>[5,4,2,1,3]=>7 [4,1,2,3,5]=>[2,3,4,1,5]=>3 [4,1,2,5,3]=>[2,5,3,4,1]=>6 [4,1,3,2,5]=>[3,2,4,1,5]=>5 [4,1,3,5,2]=>[5,2,3,4,1]=>5 [4,1,5,2,3]=>[3,5,2,4,1]=>6 [4,1,5,3,2]=>[5,3,2,4,1]=>8 [4,2,1,3,5]=>[3,4,2,1,5]=>4 [4,2,1,5,3]=>[5,3,4,2,1]=>7 [4,2,3,1,5]=>[3,1,4,2,5]=>4 [4,2,3,5,1]=>[5,1,3,4,2]=>4 [4,2,5,1,3]=>[3,5,1,4,2]=>5 [4,2,5,3,1]=>[5,3,1,4,2]=>7 [4,3,1,2,5]=>[2,4,3,1,5]=>5 [4,3,1,5,2]=>[5,2,4,3,1]=>7 [4,3,2,1,5]=>[4,3,2,1,5]=>6 [4,3,2,5,1]=>[5,1,4,3,2]=>6 [4,3,5,1,2]=>[2,5,1,4,3]=>5 [4,3,5,2,1]=>[5,2,1,4,3]=>6 [4,5,1,2,3]=>[2,3,5,1,4]=>3 [4,5,1,3,2]=>[3,2,5,1,4]=>5 [4,5,2,1,3]=>[3,5,2,1,4]=>4 [4,5,2,3,1]=>[3,1,5,2,4]=>4 [4,5,3,1,2]=>[2,5,3,1,4]=>5 [4,5,3,2,1]=>[5,3,2,1,4]=>6 [5,1,2,3,4]=>[2,3,4,5,1]=>4 [5,1,2,4,3]=>[2,4,3,5,1]=>7 [5,1,3,2,4]=>[3,2,4,5,1]=>6 [5,1,3,4,2]=>[4,2,3,5,1]=>6 [5,1,4,2,3]=>[3,4,2,5,1]=>7 [5,1,4,3,2]=>[4,3,2,5,1]=>9 [5,2,1,3,4]=>[3,4,5,2,1]=>5 [5,2,1,4,3]=>[4,3,5,2,1]=>8 [5,2,3,1,4]=>[3,1,4,5,2]=>5 [5,2,3,4,1]=>[4,1,3,5,2]=>5 [5,2,4,1,3]=>[3,4,1,5,2]=>6 [5,2,4,3,1]=>[4,3,1,5,2]=>8 [5,3,1,2,4]=>[2,4,5,3,1]=>6 [5,3,1,4,2]=>[4,2,5,3,1]=>8 [5,3,2,1,4]=>[4,5,3,2,1]=>7 [5,3,2,4,1]=>[4,1,5,3,2]=>7 [5,3,4,1,2]=>[2,4,1,5,3]=>6 [5,3,4,2,1]=>[4,2,1,5,3]=>7 [5,4,1,2,3]=>[2,3,5,4,1]=>7 [5,4,1,3,2]=>[3,2,5,4,1]=>9 [5,4,2,1,3]=>[3,5,4,2,1]=>8 [5,4,2,3,1]=>[3,1,5,4,2]=>8 [5,4,3,1,2]=>[2,5,4,3,1]=>9 [5,4,3,2,1]=>[5,4,3,2,1]=>10 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>[1,2,3,4,6,5]=>5 [1,2,3,5,4,6]=>[1,2,3,5,4,6]=>4 [1,2,3,5,6,4]=>[1,2,3,6,4,5]=>4 [1,2,3,6,4,5]=>[1,2,3,5,6,4]=>5 [1,2,3,6,5,4]=>[1,2,3,6,5,4]=>9 [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>3 [1,2,4,3,6,5]=>[1,2,4,3,6,5]=>8 [1,2,4,5,3,6]=>[1,2,5,3,4,6]=>3 [1,2,4,5,6,3]=>[1,2,6,3,4,5]=>3 [1,2,4,6,3,5]=>[1,2,5,6,3,4]=>4 [1,2,4,6,5,3]=>[1,2,6,5,3,4]=>8 [1,2,5,3,4,6]=>[1,2,4,5,3,6]=>4 [1,2,5,3,6,4]=>[1,2,6,4,5,3]=>8 [1,2,5,4,3,6]=>[1,2,5,4,3,6]=>7 [1,2,5,4,6,3]=>[1,2,6,3,5,4]=>7 [1,2,5,6,3,4]=>[1,2,4,6,3,5]=>4 [1,2,5,6,4,3]=>[1,2,6,4,3,5]=>7 [1,2,6,3,4,5]=>[1,2,4,5,6,3]=>5 [1,2,6,3,5,4]=>[1,2,5,4,6,3]=>9 [1,2,6,4,3,5]=>[1,2,5,6,4,3]=>8 [1,2,6,4,5,3]=>[1,2,5,3,6,4]=>8 [1,2,6,5,3,4]=>[1,2,4,6,5,3]=>9 [1,2,6,5,4,3]=>[1,2,6,5,4,3]=>12 [1,3,2,4,5,6]=>[1,3,2,4,5,6]=>2 [1,3,2,4,6,5]=>[1,3,2,4,6,5]=>7 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>6 [1,3,2,5,6,4]=>[1,3,2,6,4,5]=>6 [1,3,2,6,4,5]=>[1,3,2,5,6,4]=>7 [1,3,2,6,5,4]=>[1,3,2,6,5,4]=>11 [1,3,4,2,5,6]=>[1,4,2,3,5,6]=>2 [1,3,4,2,6,5]=>[1,4,2,3,6,5]=>7 [1,3,4,5,2,6]=>[1,5,2,3,4,6]=>2 [1,3,4,5,6,2]=>[1,6,2,3,4,5]=>2 [1,3,4,6,2,5]=>[1,5,6,2,3,4]=>3 [1,3,4,6,5,2]=>[1,6,5,2,3,4]=>7 [1,3,5,2,4,6]=>[1,4,5,2,3,6]=>3 [1,3,5,2,6,4]=>[1,6,4,5,2,3]=>7 [1,3,5,4,2,6]=>[1,5,4,2,3,6]=>6 [1,3,5,4,6,2]=>[1,6,2,3,5,4]=>6 [1,3,5,6,2,4]=>[1,4,6,2,3,5]=>3 [1,3,5,6,4,2]=>[1,6,4,2,3,5]=>6 [1,3,6,2,4,5]=>[1,4,5,6,2,3]=>4 [1,3,6,2,5,4]=>[1,5,4,6,2,3]=>8 [1,3,6,4,2,5]=>[1,5,6,4,2,3]=>7 [1,3,6,4,5,2]=>[1,5,2,3,6,4]=>7 [1,3,6,5,2,4]=>[1,4,6,5,2,3]=>8 [1,3,6,5,4,2]=>[1,6,5,4,2,3]=>11 [1,4,2,3,5,6]=>[1,3,4,2,5,6]=>3 [1,4,2,3,6,5]=>[1,3,4,2,6,5]=>8 [1,4,2,5,3,6]=>[1,5,3,4,2,6]=>6 [1,4,2,5,6,3]=>[1,6,3,4,2,5]=>6 [1,4,2,6,3,5]=>[1,5,6,3,4,2]=>7 [1,4,2,6,5,3]=>[1,6,5,3,4,2]=>11 [1,4,3,2,5,6]=>[1,4,3,2,5,6]=>5 [1,4,3,2,6,5]=>[1,4,3,2,6,5]=>10 [1,4,3,5,2,6]=>[1,5,2,4,3,6]=>5 [1,4,3,5,6,2]=>[1,6,2,4,3,5]=>5 [1,4,3,6,2,5]=>[1,5,6,2,4,3]=>6 [1,4,3,6,5,2]=>[1,6,5,2,4,3]=>10 [1,4,5,2,3,6]=>[1,3,5,2,4,6]=>3 [1,4,5,2,6,3]=>[1,6,3,5,2,4]=>6 [1,4,5,3,2,6]=>[1,5,3,2,4,6]=>5 [1,4,5,3,6,2]=>[1,6,2,5,3,4]=>5 [1,4,5,6,2,3]=>[1,3,6,2,4,5]=>3 [1,4,5,6,3,2]=>[1,6,3,2,4,5]=>5 [1,4,6,2,3,5]=>[1,3,5,6,2,4]=>4 [1,4,6,2,5,3]=>[1,5,3,6,2,4]=>7 [1,4,6,3,2,5]=>[1,5,6,3,2,4]=>6 [1,4,6,3,5,2]=>[1,5,2,6,3,4]=>6 [1,4,6,5,2,3]=>[1,3,6,5,2,4]=>8 [1,4,6,5,3,2]=>[1,6,5,3,2,4]=>10 [1,5,2,3,4,6]=>[1,3,4,5,2,6]=>4 [1,5,2,3,6,4]=>[1,3,6,4,5,2]=>8 [1,5,2,4,3,6]=>[1,4,3,5,2,6]=>7 [1,5,2,4,6,3]=>[1,6,3,4,5,2]=>7 [1,5,2,6,3,4]=>[1,4,6,3,5,2]=>8 [1,5,2,6,4,3]=>[1,6,4,3,5,2]=>11 [1,5,3,2,4,6]=>[1,4,5,3,2,6]=>6 [1,5,3,2,6,4]=>[1,6,4,5,3,2]=>10 [1,5,3,4,2,6]=>[1,4,2,5,3,6]=>6 [1,5,3,4,6,2]=>[1,6,2,4,5,3]=>6 [1,5,3,6,2,4]=>[1,4,6,2,5,3]=>7 [1,5,3,6,4,2]=>[1,6,4,2,5,3]=>10 [1,5,4,2,3,6]=>[1,3,5,4,2,6]=>7 [1,5,4,2,6,3]=>[1,6,3,5,4,2]=>10 [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>9 [1,5,4,3,6,2]=>[1,6,2,5,4,3]=>9 [1,5,4,6,2,3]=>[1,3,6,2,5,4]=>7 [1,5,4,6,3,2]=>[1,6,3,2,5,4]=>9 [1,5,6,2,3,4]=>[1,3,4,6,2,5]=>4 [1,5,6,2,4,3]=>[1,4,3,6,2,5]=>7 [1,5,6,3,2,4]=>[1,4,6,3,2,5]=>6 [1,5,6,3,4,2]=>[1,4,2,6,3,5]=>6 [1,5,6,4,2,3]=>[1,3,6,4,2,5]=>7 [1,5,6,4,3,2]=>[1,6,4,3,2,5]=>9 [1,6,2,3,4,5]=>[1,3,4,5,6,2]=>5 [1,6,2,3,5,4]=>[1,3,5,4,6,2]=>9 [1,6,2,4,3,5]=>[1,4,3,5,6,2]=>8 [1,6,2,4,5,3]=>[1,5,3,4,6,2]=>8 [1,6,2,5,3,4]=>[1,4,5,3,6,2]=>9 [1,6,2,5,4,3]=>[1,5,4,3,6,2]=>12 [1,6,3,2,4,5]=>[1,4,5,6,3,2]=>7 [1,6,3,2,5,4]=>[1,5,4,6,3,2]=>11 [1,6,3,4,2,5]=>[1,4,2,5,6,3]=>7 [1,6,3,4,5,2]=>[1,5,2,4,6,3]=>7 [1,6,3,5,2,4]=>[1,4,5,2,6,3]=>8 [1,6,3,5,4,2]=>[1,5,4,2,6,3]=>11 [1,6,4,2,3,5]=>[1,3,5,6,4,2]=>8 [1,6,4,2,5,3]=>[1,5,3,6,4,2]=>11 [1,6,4,3,2,5]=>[1,5,6,4,3,2]=>10 [1,6,4,3,5,2]=>[1,5,2,6,4,3]=>10 [1,6,4,5,2,3]=>[1,3,5,2,6,4]=>8 [1,6,4,5,3,2]=>[1,5,3,2,6,4]=>10 [1,6,5,2,3,4]=>[1,3,4,6,5,2]=>9 [1,6,5,2,4,3]=>[1,4,3,6,5,2]=>12 [1,6,5,3,2,4]=>[1,4,6,5,3,2]=>11 [1,6,5,3,4,2]=>[1,4,2,6,5,3]=>11 [1,6,5,4,2,3]=>[1,3,6,5,4,2]=>12 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>14 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1 [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>6 [2,1,3,5,4,6]=>[2,1,3,5,4,6]=>5 [2,1,3,5,6,4]=>[2,1,3,6,4,5]=>5 [2,1,3,6,4,5]=>[2,1,3,5,6,4]=>6 [2,1,3,6,5,4]=>[2,1,3,6,5,4]=>10 [2,1,4,3,5,6]=>[2,1,4,3,5,6]=>4 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>9 [2,1,4,5,3,6]=>[2,1,5,3,4,6]=>4 [2,1,4,5,6,3]=>[2,1,6,3,4,5]=>4 [2,1,4,6,3,5]=>[2,1,5,6,3,4]=>5 [2,1,4,6,5,3]=>[2,1,6,5,3,4]=>9 [2,1,5,3,4,6]=>[2,1,4,5,3,6]=>5 [2,1,5,3,6,4]=>[2,1,6,4,5,3]=>9 [2,1,5,4,3,6]=>[2,1,5,4,3,6]=>8 [2,1,5,4,6,3]=>[2,1,6,3,5,4]=>8 [2,1,5,6,3,4]=>[2,1,4,6,3,5]=>5 [2,1,5,6,4,3]=>[2,1,6,4,3,5]=>8 [2,1,6,3,4,5]=>[2,1,4,5,6,3]=>6 [2,1,6,3,5,4]=>[2,1,5,4,6,3]=>10 [2,1,6,4,3,5]=>[2,1,5,6,4,3]=>9 [2,1,6,4,5,3]=>[2,1,5,3,6,4]=>9 [2,1,6,5,3,4]=>[2,1,4,6,5,3]=>10 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>13 [2,3,1,4,5,6]=>[3,1,2,4,5,6]=>1 [2,3,1,4,6,5]=>[3,1,2,4,6,5]=>6 [2,3,1,5,4,6]=>[3,1,2,5,4,6]=>5 [2,3,1,5,6,4]=>[3,1,2,6,4,5]=>5 [2,3,1,6,4,5]=>[3,1,2,5,6,4]=>6 [2,3,1,6,5,4]=>[3,1,2,6,5,4]=>10 [2,3,4,1,5,6]=>[4,1,2,3,5,6]=>1 [2,3,4,1,6,5]=>[4,1,2,3,6,5]=>6 [2,3,4,5,1,6]=>[5,1,2,3,4,6]=>1 [2,3,4,5,6,1]=>[6,1,2,3,4,5]=>1 [2,3,4,6,1,5]=>[5,6,1,2,3,4]=>2 [2,3,4,6,5,1]=>[6,5,1,2,3,4]=>6 [2,3,5,1,4,6]=>[4,5,1,2,3,6]=>2 [2,3,5,1,6,4]=>[6,4,5,1,2,3]=>6 [2,3,5,4,1,6]=>[5,4,1,2,3,6]=>5 [2,3,5,4,6,1]=>[6,1,2,3,5,4]=>5 [2,3,5,6,1,4]=>[4,6,1,2,3,5]=>2 [2,3,5,6,4,1]=>[6,4,1,2,3,5]=>5 [2,3,6,1,4,5]=>[4,5,6,1,2,3]=>3 [2,3,6,1,5,4]=>[5,4,6,1,2,3]=>7 [2,3,6,4,1,5]=>[5,6,4,1,2,3]=>6 [2,3,6,4,5,1]=>[5,1,2,3,6,4]=>6 [2,3,6,5,1,4]=>[4,6,5,1,2,3]=>7 [2,3,6,5,4,1]=>[6,5,4,1,2,3]=>10 [2,4,1,3,5,6]=>[3,4,1,2,5,6]=>2 [2,4,1,3,6,5]=>[3,4,1,2,6,5]=>7 [2,4,1,5,3,6]=>[5,3,4,1,2,6]=>5 [2,4,1,5,6,3]=>[6,3,4,1,2,5]=>5 [2,4,1,6,3,5]=>[5,6,3,4,1,2]=>6 [2,4,1,6,5,3]=>[6,5,3,4,1,2]=>10 [2,4,3,1,5,6]=>[4,3,1,2,5,6]=>4 [2,4,3,1,6,5]=>[4,3,1,2,6,5]=>9 [2,4,3,5,1,6]=>[5,1,2,4,3,6]=>4 [2,4,3,5,6,1]=>[6,1,2,4,3,5]=>4 [2,4,3,6,1,5]=>[5,6,1,2,4,3]=>5 [2,4,3,6,5,1]=>[6,5,1,2,4,3]=>9 [2,4,5,1,3,6]=>[3,5,1,2,4,6]=>2 [2,4,5,1,6,3]=>[6,3,5,1,2,4]=>5 [2,4,5,3,1,6]=>[5,3,1,2,4,6]=>4 [2,4,5,3,6,1]=>[6,1,2,5,3,4]=>4 [2,4,5,6,1,3]=>[3,6,1,2,4,5]=>2 [2,4,5,6,3,1]=>[6,3,1,2,4,5]=>4 [2,4,6,1,3,5]=>[3,5,6,1,2,4]=>3 [2,4,6,1,5,3]=>[5,3,6,1,2,4]=>6 [2,4,6,3,1,5]=>[5,6,3,1,2,4]=>5 [2,4,6,3,5,1]=>[5,1,2,6,3,4]=>5 [2,4,6,5,1,3]=>[3,6,5,1,2,4]=>7 [2,4,6,5,3,1]=>[6,5,3,1,2,4]=>9 [2,5,1,3,4,6]=>[3,4,5,1,2,6]=>3 [2,5,1,3,6,4]=>[3,6,4,5,1,2]=>7 [2,5,1,4,3,6]=>[4,3,5,1,2,6]=>6 [2,5,1,4,6,3]=>[6,3,4,5,1,2]=>6 [2,5,1,6,3,4]=>[4,6,3,5,1,2]=>7 [2,5,1,6,4,3]=>[6,4,3,5,1,2]=>10 [2,5,3,1,4,6]=>[4,5,3,1,2,6]=>5 [2,5,3,1,6,4]=>[6,4,5,3,1,2]=>9 [2,5,3,4,1,6]=>[4,1,2,5,3,6]=>5 [2,5,3,4,6,1]=>[6,1,2,4,5,3]=>5 [2,5,3,6,1,4]=>[4,6,1,2,5,3]=>6 [2,5,3,6,4,1]=>[6,4,1,2,5,3]=>9 [2,5,4,1,3,6]=>[3,5,4,1,2,6]=>6 [2,5,4,1,6,3]=>[6,3,5,4,1,2]=>9 [2,5,4,3,1,6]=>[5,4,3,1,2,6]=>8 [2,5,4,3,6,1]=>[6,1,2,5,4,3]=>8 [2,5,4,6,1,3]=>[3,6,1,2,5,4]=>6 [2,5,4,6,3,1]=>[6,3,1,2,5,4]=>8 [2,5,6,1,3,4]=>[3,4,6,1,2,5]=>3 [2,5,6,1,4,3]=>[4,3,6,1,2,5]=>6 [2,5,6,3,1,4]=>[4,6,3,1,2,5]=>5 [2,5,6,3,4,1]=>[4,1,2,6,3,5]=>5 [2,5,6,4,1,3]=>[3,6,4,1,2,5]=>6 [2,5,6,4,3,1]=>[6,4,3,1,2,5]=>8 [2,6,1,3,4,5]=>[3,4,5,6,1,2]=>4 [2,6,1,3,5,4]=>[3,5,4,6,1,2]=>8 [2,6,1,4,3,5]=>[4,3,5,6,1,2]=>7 [2,6,1,4,5,3]=>[5,3,4,6,1,2]=>7 [2,6,1,5,3,4]=>[4,5,3,6,1,2]=>8 [2,6,1,5,4,3]=>[5,4,3,6,1,2]=>11 [2,6,3,1,4,5]=>[4,5,6,3,1,2]=>6 [2,6,3,1,5,4]=>[5,4,6,3,1,2]=>10 [2,6,3,4,1,5]=>[4,1,2,5,6,3]=>6 [2,6,3,4,5,1]=>[5,1,2,4,6,3]=>6 [2,6,3,5,1,4]=>[4,5,1,2,6,3]=>7 [2,6,3,5,4,1]=>[5,4,1,2,6,3]=>10 [2,6,4,1,3,5]=>[3,5,6,4,1,2]=>7 [2,6,4,1,5,3]=>[5,3,6,4,1,2]=>10 [2,6,4,3,1,5]=>[5,6,4,3,1,2]=>9 [2,6,4,3,5,1]=>[5,1,2,6,4,3]=>9 [2,6,4,5,1,3]=>[3,5,1,2,6,4]=>7 [2,6,4,5,3,1]=>[5,3,1,2,6,4]=>9 [2,6,5,1,3,4]=>[3,4,6,5,1,2]=>8 [2,6,5,1,4,3]=>[4,3,6,5,1,2]=>11 [2,6,5,3,1,4]=>[4,6,5,3,1,2]=>10 [2,6,5,3,4,1]=>[4,1,2,6,5,3]=>10 [2,6,5,4,1,3]=>[3,6,5,4,1,2]=>11 [2,6,5,4,3,1]=>[6,5,4,3,1,2]=>13 [3,1,2,4,5,6]=>[2,3,1,4,5,6]=>2 [3,1,2,4,6,5]=>[2,3,1,4,6,5]=>7 [3,1,2,5,4,6]=>[2,3,1,5,4,6]=>6 [3,1,2,5,6,4]=>[2,3,1,6,4,5]=>6 [3,1,2,6,4,5]=>[2,3,1,5,6,4]=>7 [3,1,2,6,5,4]=>[2,3,1,6,5,4]=>11 [3,1,4,2,5,6]=>[4,2,3,1,5,6]=>4 [3,1,4,2,6,5]=>[4,2,3,1,6,5]=>9 [3,1,4,5,2,6]=>[5,2,3,1,4,6]=>4 [3,1,4,5,6,2]=>[6,2,3,1,4,5]=>4 [3,1,4,6,2,5]=>[5,6,2,3,1,4]=>5 [3,1,4,6,5,2]=>[6,5,2,3,1,4]=>9 [3,1,5,2,4,6]=>[4,5,2,3,1,6]=>5 [3,1,5,2,6,4]=>[6,4,5,2,3,1]=>9 [3,1,5,4,2,6]=>[5,4,2,3,1,6]=>8 [3,1,5,4,6,2]=>[6,2,3,1,5,4]=>8 [3,1,5,6,2,4]=>[4,6,2,3,1,5]=>5 [3,1,5,6,4,2]=>[6,4,2,3,1,5]=>8 [3,1,6,2,4,5]=>[4,5,6,2,3,1]=>6 [3,1,6,2,5,4]=>[5,4,6,2,3,1]=>10 [3,1,6,4,2,5]=>[5,6,4,2,3,1]=>9 [3,1,6,4,5,2]=>[5,2,3,1,6,4]=>9 [3,1,6,5,2,4]=>[4,6,5,2,3,1]=>10 [3,1,6,5,4,2]=>[6,5,4,2,3,1]=>13 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>3 [3,2,1,4,6,5]=>[3,2,1,4,6,5]=>8 [3,2,1,5,4,6]=>[3,2,1,5,4,6]=>7 [3,2,1,5,6,4]=>[3,2,1,6,4,5]=>7 [3,2,1,6,4,5]=>[3,2,1,5,6,4]=>8 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>12 [3,2,4,1,5,6]=>[4,1,3,2,5,6]=>3 [3,2,4,1,6,5]=>[4,1,3,2,6,5]=>8 [3,2,4,5,1,6]=>[5,1,3,2,4,6]=>3 [3,2,4,5,6,1]=>[6,1,3,2,4,5]=>3 [3,2,4,6,1,5]=>[5,6,1,3,2,4]=>4 [3,2,4,6,5,1]=>[6,5,1,3,2,4]=>8 [3,2,5,1,4,6]=>[4,5,1,3,2,6]=>4 [3,2,5,1,6,4]=>[6,4,5,1,3,2]=>8 [3,2,5,4,1,6]=>[5,4,1,3,2,6]=>7 [3,2,5,4,6,1]=>[6,1,3,2,5,4]=>7 [3,2,5,6,1,4]=>[4,6,1,3,2,5]=>4 [3,2,5,6,4,1]=>[6,4,1,3,2,5]=>7 [3,2,6,1,4,5]=>[4,5,6,1,3,2]=>5 [3,2,6,1,5,4]=>[5,4,6,1,3,2]=>9 [3,2,6,4,1,5]=>[5,6,4,1,3,2]=>8 [3,2,6,4,5,1]=>[5,1,3,2,6,4]=>8 [3,2,6,5,1,4]=>[4,6,5,1,3,2]=>9 [3,2,6,5,4,1]=>[6,5,4,1,3,2]=>12 [3,4,1,2,5,6]=>[2,4,1,3,5,6]=>2 [3,4,1,2,6,5]=>[2,4,1,3,6,5]=>7 [3,4,1,5,2,6]=>[5,2,4,1,3,6]=>4 [3,4,1,5,6,2]=>[6,2,4,1,3,5]=>4 [3,4,1,6,2,5]=>[5,6,2,4,1,3]=>5 [3,4,1,6,5,2]=>[6,5,2,4,1,3]=>9 [3,4,2,1,5,6]=>[4,2,1,3,5,6]=>3 [3,4,2,1,6,5]=>[4,2,1,3,6,5]=>8 [3,4,2,5,1,6]=>[5,1,4,2,3,6]=>3 [3,4,2,5,6,1]=>[6,1,4,2,3,5]=>3 [3,4,2,6,1,5]=>[5,6,1,4,2,3]=>4 [3,4,2,6,5,1]=>[6,5,1,4,2,3]=>8 [3,4,5,1,2,6]=>[2,5,1,3,4,6]=>2 [3,4,5,1,6,2]=>[6,2,5,1,3,4]=>4 [3,4,5,2,1,6]=>[5,2,1,3,4,6]=>3 [3,4,5,2,6,1]=>[6,1,5,2,3,4]=>3 [3,4,5,6,1,2]=>[2,6,1,3,4,5]=>2 [3,4,5,6,2,1]=>[6,2,1,3,4,5]=>3 [3,4,6,1,2,5]=>[2,5,6,1,3,4]=>3 [3,4,6,1,5,2]=>[5,2,6,1,3,4]=>5 [3,4,6,2,1,5]=>[5,6,2,1,3,4]=>4 [3,4,6,2,5,1]=>[5,1,6,2,3,4]=>4 [3,4,6,5,1,2]=>[2,6,5,1,3,4]=>7 [3,4,6,5,2,1]=>[6,5,2,1,3,4]=>8 [3,5,1,2,4,6]=>[2,4,5,1,3,6]=>3 [3,5,1,2,6,4]=>[2,6,4,5,1,3]=>7 [3,5,1,4,2,6]=>[4,2,5,1,3,6]=>5 [3,5,1,4,6,2]=>[6,2,4,5,1,3]=>5 [3,5,1,6,2,4]=>[4,6,2,5,1,3]=>6 [3,5,1,6,4,2]=>[6,4,2,5,1,3]=>9 [3,5,2,1,4,6]=>[4,5,2,1,3,6]=>4 [3,5,2,1,6,4]=>[6,4,5,2,1,3]=>8 [3,5,2,4,1,6]=>[4,1,5,2,3,6]=>4 [3,5,2,4,6,1]=>[6,1,4,5,2,3]=>4 [3,5,2,6,1,4]=>[4,6,1,5,2,3]=>5 [3,5,2,6,4,1]=>[6,4,1,5,2,3]=>8 [3,5,4,1,2,6]=>[2,5,4,1,3,6]=>6 [3,5,4,1,6,2]=>[6,2,5,4,1,3]=>8 [3,5,4,2,1,6]=>[5,4,2,1,3,6]=>7 [3,5,4,2,6,1]=>[6,1,5,4,2,3]=>7 [3,5,4,6,1,2]=>[2,6,1,3,5,4]=>6 [3,5,4,6,2,1]=>[6,2,1,3,5,4]=>7 [3,5,6,1,2,4]=>[2,4,6,1,3,5]=>3 [3,5,6,1,4,2]=>[4,2,6,1,3,5]=>5 [3,5,6,2,1,4]=>[4,6,2,1,3,5]=>4 [3,5,6,2,4,1]=>[4,1,6,2,3,5]=>4 [3,5,6,4,1,2]=>[2,6,4,1,3,5]=>6 [3,5,6,4,2,1]=>[6,4,2,1,3,5]=>7 [3,6,1,2,4,5]=>[2,4,5,6,1,3]=>4 [3,6,1,2,5,4]=>[2,5,4,6,1,3]=>8 [3,6,1,4,2,5]=>[4,2,5,6,1,3]=>6 [3,6,1,4,5,2]=>[5,2,4,6,1,3]=>6 [3,6,1,5,2,4]=>[4,5,2,6,1,3]=>7 [3,6,1,5,4,2]=>[5,4,2,6,1,3]=>10 [3,6,2,1,4,5]=>[4,5,6,2,1,3]=>5 [3,6,2,1,5,4]=>[5,4,6,2,1,3]=>9 [3,6,2,4,1,5]=>[4,1,5,6,2,3]=>5 [3,6,2,4,5,1]=>[5,1,4,6,2,3]=>5 [3,6,2,5,1,4]=>[4,5,1,6,2,3]=>6 [3,6,2,5,4,1]=>[5,4,1,6,2,3]=>9 [3,6,4,1,2,5]=>[2,5,6,4,1,3]=>7 [3,6,4,1,5,2]=>[5,2,6,4,1,3]=>9 [3,6,4,2,1,5]=>[5,6,4,2,1,3]=>8 [3,6,4,2,5,1]=>[5,1,6,4,2,3]=>8 [3,6,4,5,1,2]=>[2,5,1,3,6,4]=>7 [3,6,4,5,2,1]=>[5,2,1,3,6,4]=>8 [3,6,5,1,2,4]=>[2,4,6,5,1,3]=>8 [3,6,5,1,4,2]=>[4,2,6,5,1,3]=>10 [3,6,5,2,1,4]=>[4,6,5,2,1,3]=>9 [3,6,5,2,4,1]=>[4,1,6,5,2,3]=>9 [3,6,5,4,1,2]=>[2,6,5,4,1,3]=>11 [3,6,5,4,2,1]=>[6,5,4,2,1,3]=>12 [4,1,2,3,5,6]=>[2,3,4,1,5,6]=>3 [4,1,2,3,6,5]=>[2,3,4,1,6,5]=>8 [4,1,2,5,3,6]=>[2,5,3,4,1,6]=>6 [4,1,2,5,6,3]=>[2,6,3,4,1,5]=>6 [4,1,2,6,3,5]=>[2,5,6,3,4,1]=>7 [4,1,2,6,5,3]=>[2,6,5,3,4,1]=>11 [4,1,3,2,5,6]=>[3,2,4,1,5,6]=>5 [4,1,3,2,6,5]=>[3,2,4,1,6,5]=>10 [4,1,3,5,2,6]=>[5,2,3,4,1,6]=>5 [4,1,3,5,6,2]=>[6,2,3,4,1,5]=>5 [4,1,3,6,2,5]=>[5,6,2,3,4,1]=>6 [4,1,3,6,5,2]=>[6,5,2,3,4,1]=>10 [4,1,5,2,3,6]=>[3,5,2,4,1,6]=>6 [4,1,5,2,6,3]=>[6,3,5,2,4,1]=>9 [4,1,5,3,2,6]=>[5,3,2,4,1,6]=>8 [4,1,5,3,6,2]=>[6,2,5,3,4,1]=>8 [4,1,5,6,2,3]=>[3,6,2,4,1,5]=>6 [4,1,5,6,3,2]=>[6,3,2,4,1,5]=>8 [4,1,6,2,3,5]=>[3,5,6,2,4,1]=>7 [4,1,6,2,5,3]=>[5,3,6,2,4,1]=>10 [4,1,6,3,2,5]=>[5,6,3,2,4,1]=>9 [4,1,6,3,5,2]=>[5,2,6,3,4,1]=>9 [4,1,6,5,2,3]=>[3,6,5,2,4,1]=>11 [4,1,6,5,3,2]=>[6,5,3,2,4,1]=>13 [4,2,1,3,5,6]=>[3,4,2,1,5,6]=>4 [4,2,1,3,6,5]=>[3,4,2,1,6,5]=>9 [4,2,1,5,3,6]=>[5,3,4,2,1,6]=>7 [4,2,1,5,6,3]=>[6,3,4,2,1,5]=>7 [4,2,1,6,3,5]=>[5,6,3,4,2,1]=>8 [4,2,1,6,5,3]=>[6,5,3,4,2,1]=>12 [4,2,3,1,5,6]=>[3,1,4,2,5,6]=>4 [4,2,3,1,6,5]=>[3,1,4,2,6,5]=>9 [4,2,3,5,1,6]=>[5,1,3,4,2,6]=>4 [4,2,3,5,6,1]=>[6,1,3,4,2,5]=>4 [4,2,3,6,1,5]=>[5,6,1,3,4,2]=>5 [4,2,3,6,5,1]=>[6,5,1,3,4,2]=>9 [4,2,5,1,3,6]=>[3,5,1,4,2,6]=>5 [4,2,5,1,6,3]=>[6,3,5,1,4,2]=>8 [4,2,5,3,1,6]=>[5,3,1,4,2,6]=>7 [4,2,5,3,6,1]=>[6,1,5,3,4,2]=>7 [4,2,5,6,1,3]=>[3,6,1,4,2,5]=>5 [4,2,5,6,3,1]=>[6,3,1,4,2,5]=>7 [4,2,6,1,3,5]=>[3,5,6,1,4,2]=>6 [4,2,6,1,5,3]=>[5,3,6,1,4,2]=>9 [4,2,6,3,1,5]=>[5,6,3,1,4,2]=>8 [4,2,6,3,5,1]=>[5,1,6,3,4,2]=>8 [4,2,6,5,1,3]=>[3,6,5,1,4,2]=>10 [4,2,6,5,3,1]=>[6,5,3,1,4,2]=>12 [4,3,1,2,5,6]=>[2,4,3,1,5,6]=>5 [4,3,1,2,6,5]=>[2,4,3,1,6,5]=>10 [4,3,1,5,2,6]=>[5,2,4,3,1,6]=>7 [4,3,1,5,6,2]=>[6,2,4,3,1,5]=>7 [4,3,1,6,2,5]=>[5,6,2,4,3,1]=>8 [4,3,1,6,5,2]=>[6,5,2,4,3,1]=>12 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>6 [4,3,2,1,6,5]=>[4,3,2,1,6,5]=>11 [4,3,2,5,1,6]=>[5,1,4,3,2,6]=>6 [4,3,2,5,6,1]=>[6,1,4,3,2,5]=>6 [4,3,2,6,1,5]=>[5,6,1,4,3,2]=>7 [4,3,2,6,5,1]=>[6,5,1,4,3,2]=>11 [4,3,5,1,2,6]=>[2,5,1,4,3,6]=>5 [4,3,5,1,6,2]=>[6,2,5,1,4,3]=>7 [4,3,5,2,1,6]=>[5,2,1,4,3,6]=>6 [4,3,5,2,6,1]=>[6,1,5,2,4,3]=>6 [4,3,5,6,1,2]=>[2,6,1,4,3,5]=>5 [4,3,5,6,2,1]=>[6,2,1,4,3,5]=>6 [4,3,6,1,2,5]=>[2,5,6,1,4,3]=>6 [4,3,6,1,5,2]=>[5,2,6,1,4,3]=>8 [4,3,6,2,1,5]=>[5,6,2,1,4,3]=>7 [4,3,6,2,5,1]=>[5,1,6,2,4,3]=>7 [4,3,6,5,1,2]=>[2,6,5,1,4,3]=>10 [4,3,6,5,2,1]=>[6,5,2,1,4,3]=>11 [4,5,1,2,3,6]=>[2,3,5,1,4,6]=>3 [4,5,1,2,6,3]=>[2,6,3,5,1,4]=>6 [4,5,1,3,2,6]=>[3,2,5,1,4,6]=>5 [4,5,1,3,6,2]=>[6,2,3,5,1,4]=>5 [4,5,1,6,2,3]=>[3,6,2,5,1,4]=>6 [4,5,1,6,3,2]=>[6,3,2,5,1,4]=>8 [4,5,2,1,3,6]=>[3,5,2,1,4,6]=>4 [4,5,2,1,6,3]=>[6,3,5,2,1,4]=>7 [4,5,2,3,1,6]=>[3,1,5,2,4,6]=>4 [4,5,2,3,6,1]=>[6,1,3,5,2,4]=>4 [4,5,2,6,1,3]=>[3,6,1,5,2,4]=>5 [4,5,2,6,3,1]=>[6,3,1,5,2,4]=>7 [4,5,3,1,2,6]=>[2,5,3,1,4,6]=>5 [4,5,3,1,6,2]=>[6,2,5,3,1,4]=>7 [4,5,3,2,1,6]=>[5,3,2,1,4,6]=>6 [4,5,3,2,6,1]=>[6,1,5,3,2,4]=>6 [4,5,3,6,1,2]=>[2,6,1,5,3,4]=>5 [4,5,3,6,2,1]=>[6,2,1,5,3,4]=>6 [4,5,6,1,2,3]=>[2,3,6,1,4,5]=>3 [4,5,6,1,3,2]=>[3,2,6,1,4,5]=>5 [4,5,6,2,1,3]=>[3,6,2,1,4,5]=>4 [4,5,6,2,3,1]=>[3,1,6,2,4,5]=>4 [4,5,6,3,1,2]=>[2,6,3,1,4,5]=>5 [4,5,6,3,2,1]=>[6,3,2,1,4,5]=>6 [4,6,1,2,3,5]=>[2,3,5,6,1,4]=>4 [4,6,1,2,5,3]=>[2,5,3,6,1,4]=>7 [4,6,1,3,2,5]=>[3,2,5,6,1,4]=>6 [4,6,1,3,5,2]=>[5,2,3,6,1,4]=>6 [4,6,1,5,2,3]=>[3,5,2,6,1,4]=>7 [4,6,1,5,3,2]=>[5,3,2,6,1,4]=>9 [4,6,2,1,3,5]=>[3,5,6,2,1,4]=>5 [4,6,2,1,5,3]=>[5,3,6,2,1,4]=>8 [4,6,2,3,1,5]=>[3,1,5,6,2,4]=>5 [4,6,2,3,5,1]=>[5,1,3,6,2,4]=>5 [4,6,2,5,1,3]=>[3,5,1,6,2,4]=>6 [4,6,2,5,3,1]=>[5,3,1,6,2,4]=>8 [4,6,3,1,2,5]=>[2,5,6,3,1,4]=>6 [4,6,3,1,5,2]=>[5,2,6,3,1,4]=>8 [4,6,3,2,1,5]=>[5,6,3,2,1,4]=>7 [4,6,3,2,5,1]=>[5,1,6,3,2,4]=>7 [4,6,3,5,1,2]=>[2,5,1,6,3,4]=>6 [4,6,3,5,2,1]=>[5,2,1,6,3,4]=>7 [4,6,5,1,2,3]=>[2,3,6,5,1,4]=>8 [4,6,5,1,3,2]=>[3,2,6,5,1,4]=>10 [4,6,5,2,1,3]=>[3,6,5,2,1,4]=>9 [4,6,5,2,3,1]=>[3,1,6,5,2,4]=>9 [4,6,5,3,1,2]=>[2,6,5,3,1,4]=>10 [4,6,5,3,2,1]=>[6,5,3,2,1,4]=>11 [5,1,2,3,4,6]=>[2,3,4,5,1,6]=>4 [5,1,2,3,6,4]=>[2,3,6,4,5,1]=>8 [5,1,2,4,3,6]=>[2,4,3,5,1,6]=>7 [5,1,2,4,6,3]=>[2,6,3,4,5,1]=>7 [5,1,2,6,3,4]=>[2,4,6,3,5,1]=>8 [5,1,2,6,4,3]=>[2,6,4,3,5,1]=>11 [5,1,3,2,4,6]=>[3,2,4,5,1,6]=>6 [5,1,3,2,6,4]=>[3,2,6,4,5,1]=>10 [5,1,3,4,2,6]=>[4,2,3,5,1,6]=>6 [5,1,3,4,6,2]=>[6,2,3,4,5,1]=>6 [5,1,3,6,2,4]=>[4,6,2,3,5,1]=>7 [5,1,3,6,4,2]=>[6,4,2,3,5,1]=>10 [5,1,4,2,3,6]=>[3,4,2,5,1,6]=>7 [5,1,4,2,6,3]=>[6,3,4,2,5,1]=>10 [5,1,4,3,2,6]=>[4,3,2,5,1,6]=>9 [5,1,4,3,6,2]=>[6,2,4,3,5,1]=>9 [5,1,4,6,2,3]=>[3,6,2,4,5,1]=>7 [5,1,4,6,3,2]=>[6,3,2,4,5,1]=>9 [5,1,6,2,3,4]=>[3,4,6,2,5,1]=>8 [5,1,6,2,4,3]=>[4,3,6,2,5,1]=>11 [5,1,6,3,2,4]=>[4,6,3,2,5,1]=>10 [5,1,6,3,4,2]=>[4,2,6,3,5,1]=>10 [5,1,6,4,2,3]=>[3,6,4,2,5,1]=>11 [5,1,6,4,3,2]=>[6,4,3,2,5,1]=>13 [5,2,1,3,4,6]=>[3,4,5,2,1,6]=>5 [5,2,1,3,6,4]=>[3,6,4,5,2,1]=>9 [5,2,1,4,3,6]=>[4,3,5,2,1,6]=>8 [5,2,1,4,6,3]=>[6,3,4,5,2,1]=>8 [5,2,1,6,3,4]=>[4,6,3,5,2,1]=>9 [5,2,1,6,4,3]=>[6,4,3,5,2,1]=>12 [5,2,3,1,4,6]=>[3,1,4,5,2,6]=>5 [5,2,3,1,6,4]=>[3,1,6,4,5,2]=>9 [5,2,3,4,1,6]=>[4,1,3,5,2,6]=>5 [5,2,3,4,6,1]=>[6,1,3,4,5,2]=>5 [5,2,3,6,1,4]=>[4,6,1,3,5,2]=>6 [5,2,3,6,4,1]=>[6,4,1,3,5,2]=>9 [5,2,4,1,3,6]=>[3,4,1,5,2,6]=>6 [5,2,4,1,6,3]=>[6,3,4,1,5,2]=>9 [5,2,4,3,1,6]=>[4,3,1,5,2,6]=>8 [5,2,4,3,6,1]=>[6,1,4,3,5,2]=>8 [5,2,4,6,1,3]=>[3,6,1,4,5,2]=>6 [5,2,4,6,3,1]=>[6,3,1,4,5,2]=>8 [5,2,6,1,3,4]=>[3,4,6,1,5,2]=>7 [5,2,6,1,4,3]=>[4,3,6,1,5,2]=>10 [5,2,6,3,1,4]=>[4,6,3,1,5,2]=>9 [5,2,6,3,4,1]=>[4,1,6,3,5,2]=>9 [5,2,6,4,1,3]=>[3,6,4,1,5,2]=>10 [5,2,6,4,3,1]=>[6,4,3,1,5,2]=>12 [5,3,1,2,4,6]=>[2,4,5,3,1,6]=>6 [5,3,1,2,6,4]=>[2,6,4,5,3,1]=>10 [5,3,1,4,2,6]=>[4,2,5,3,1,6]=>8 [5,3,1,4,6,2]=>[6,2,4,5,3,1]=>8 [5,3,1,6,2,4]=>[4,6,2,5,3,1]=>9 [5,3,1,6,4,2]=>[6,4,2,5,3,1]=>12 [5,3,2,1,4,6]=>[4,5,3,2,1,6]=>7 [5,3,2,1,6,4]=>[6,4,5,3,2,1]=>11 [5,3,2,4,1,6]=>[4,1,5,3,2,6]=>7 [5,3,2,4,6,1]=>[6,1,4,5,3,2]=>7 [5,3,2,6,1,4]=>[4,6,1,5,3,2]=>8 [5,3,2,6,4,1]=>[6,4,1,5,3,2]=>11 [5,3,4,1,2,6]=>[2,4,1,5,3,6]=>6 [5,3,4,1,6,2]=>[6,2,4,1,5,3]=>8 [5,3,4,2,1,6]=>[4,2,1,5,3,6]=>7 [5,3,4,2,6,1]=>[6,1,4,2,5,3]=>7 [5,3,4,6,1,2]=>[2,6,1,4,5,3]=>6 [5,3,4,6,2,1]=>[6,2,1,4,5,3]=>7 [5,3,6,1,2,4]=>[2,4,6,1,5,3]=>7 [5,3,6,1,4,2]=>[4,2,6,1,5,3]=>9 [5,3,6,2,1,4]=>[4,6,2,1,5,3]=>8 [5,3,6,2,4,1]=>[4,1,6,2,5,3]=>8 [5,3,6,4,1,2]=>[2,6,4,1,5,3]=>10 [5,3,6,4,2,1]=>[6,4,2,1,5,3]=>11 [5,4,1,2,3,6]=>[2,3,5,4,1,6]=>7 [5,4,1,2,6,3]=>[2,6,3,5,4,1]=>10 [5,4,1,3,2,6]=>[3,2,5,4,1,6]=>9 [5,4,1,3,6,2]=>[6,2,3,5,4,1]=>9 [5,4,1,6,2,3]=>[3,6,2,5,4,1]=>10 [5,4,1,6,3,2]=>[6,3,2,5,4,1]=>12 [5,4,2,1,3,6]=>[3,5,4,2,1,6]=>8 [5,4,2,1,6,3]=>[6,3,5,4,2,1]=>11 [5,4,2,3,1,6]=>[3,1,5,4,2,6]=>8 [5,4,2,3,6,1]=>[6,1,3,5,4,2]=>8 [5,4,2,6,1,3]=>[3,6,1,5,4,2]=>9 [5,4,2,6,3,1]=>[6,3,1,5,4,2]=>11 [5,4,3,1,2,6]=>[2,5,4,3,1,6]=>9 [5,4,3,1,6,2]=>[6,2,5,4,3,1]=>11 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>10 [5,4,3,2,6,1]=>[6,1,5,4,3,2]=>10 [5,4,3,6,1,2]=>[2,6,1,5,4,3]=>9 [5,4,3,6,2,1]=>[6,2,1,5,4,3]=>10 [5,4,6,1,2,3]=>[2,3,6,1,5,4]=>7 [5,4,6,1,3,2]=>[3,2,6,1,5,4]=>9 [5,4,6,2,1,3]=>[3,6,2,1,5,4]=>8 [5,4,6,2,3,1]=>[3,1,6,2,5,4]=>8 [5,4,6,3,1,2]=>[2,6,3,1,5,4]=>9 [5,4,6,3,2,1]=>[6,3,2,1,5,4]=>10 [5,6,1,2,3,4]=>[2,3,4,6,1,5]=>4 [5,6,1,2,4,3]=>[2,4,3,6,1,5]=>7 [5,6,1,3,2,4]=>[3,2,4,6,1,5]=>6 [5,6,1,3,4,2]=>[4,2,3,6,1,5]=>6 [5,6,1,4,2,3]=>[3,4,2,6,1,5]=>7 [5,6,1,4,3,2]=>[4,3,2,6,1,5]=>9 [5,6,2,1,3,4]=>[3,4,6,2,1,5]=>5 [5,6,2,1,4,3]=>[4,3,6,2,1,5]=>8 [5,6,2,3,1,4]=>[3,1,4,6,2,5]=>5 [5,6,2,3,4,1]=>[4,1,3,6,2,5]=>5 [5,6,2,4,1,3]=>[3,4,1,6,2,5]=>6 [5,6,2,4,3,1]=>[4,3,1,6,2,5]=>8 [5,6,3,1,2,4]=>[2,4,6,3,1,5]=>6 [5,6,3,1,4,2]=>[4,2,6,3,1,5]=>8 [5,6,3,2,1,4]=>[4,6,3,2,1,5]=>7 [5,6,3,2,4,1]=>[4,1,6,3,2,5]=>7 [5,6,3,4,1,2]=>[2,4,1,6,3,5]=>6 [5,6,3,4,2,1]=>[4,2,1,6,3,5]=>7 [5,6,4,1,2,3]=>[2,3,6,4,1,5]=>7 [5,6,4,1,3,2]=>[3,2,6,4,1,5]=>9 [5,6,4,2,1,3]=>[3,6,4,2,1,5]=>8 [5,6,4,2,3,1]=>[3,1,6,4,2,5]=>8 [5,6,4,3,1,2]=>[2,6,4,3,1,5]=>9 [5,6,4,3,2,1]=>[6,4,3,2,1,5]=>10 [6,1,2,3,4,5]=>[2,3,4,5,6,1]=>5 [6,1,2,3,5,4]=>[2,3,5,4,6,1]=>9 [6,1,2,4,3,5]=>[2,4,3,5,6,1]=>8 [6,1,2,4,5,3]=>[2,5,3,4,6,1]=>8 [6,1,2,5,3,4]=>[2,4,5,3,6,1]=>9 [6,1,2,5,4,3]=>[2,5,4,3,6,1]=>12 [6,1,3,2,4,5]=>[3,2,4,5,6,1]=>7 [6,1,3,2,5,4]=>[3,2,5,4,6,1]=>11 [6,1,3,4,2,5]=>[4,2,3,5,6,1]=>7 [6,1,3,4,5,2]=>[5,2,3,4,6,1]=>7 [6,1,3,5,2,4]=>[4,5,2,3,6,1]=>8 [6,1,3,5,4,2]=>[5,4,2,3,6,1]=>11 [6,1,4,2,3,5]=>[3,4,2,5,6,1]=>8 [6,1,4,2,5,3]=>[5,3,4,2,6,1]=>11 [6,1,4,3,2,5]=>[4,3,2,5,6,1]=>10 [6,1,4,3,5,2]=>[5,2,4,3,6,1]=>10 [6,1,4,5,2,3]=>[3,5,2,4,6,1]=>8 [6,1,4,5,3,2]=>[5,3,2,4,6,1]=>10 [6,1,5,2,3,4]=>[3,4,5,2,6,1]=>9 [6,1,5,2,4,3]=>[4,3,5,2,6,1]=>12 [6,1,5,3,2,4]=>[4,5,3,2,6,1]=>11 [6,1,5,3,4,2]=>[4,2,5,3,6,1]=>11 [6,1,5,4,2,3]=>[3,5,4,2,6,1]=>12 [6,1,5,4,3,2]=>[5,4,3,2,6,1]=>14 [6,2,1,3,4,5]=>[3,4,5,6,2,1]=>6 [6,2,1,3,5,4]=>[3,5,4,6,2,1]=>10 [6,2,1,4,3,5]=>[4,3,5,6,2,1]=>9 [6,2,1,4,5,3]=>[5,3,4,6,2,1]=>9 [6,2,1,5,3,4]=>[4,5,3,6,2,1]=>10 [6,2,1,5,4,3]=>[5,4,3,6,2,1]=>13 [6,2,3,1,4,5]=>[3,1,4,5,6,2]=>6 [6,2,3,1,5,4]=>[3,1,5,4,6,2]=>10 [6,2,3,4,1,5]=>[4,1,3,5,6,2]=>6 [6,2,3,4,5,1]=>[5,1,3,4,6,2]=>6 [6,2,3,5,1,4]=>[4,5,1,3,6,2]=>7 [6,2,3,5,4,1]=>[5,4,1,3,6,2]=>10 [6,2,4,1,3,5]=>[3,4,1,5,6,2]=>7 [6,2,4,1,5,3]=>[5,3,4,1,6,2]=>10 [6,2,4,3,1,5]=>[4,3,1,5,6,2]=>9 [6,2,4,3,5,1]=>[5,1,4,3,6,2]=>9 [6,2,4,5,1,3]=>[3,5,1,4,6,2]=>7 [6,2,4,5,3,1]=>[5,3,1,4,6,2]=>9 [6,2,5,1,3,4]=>[3,4,5,1,6,2]=>8 [6,2,5,1,4,3]=>[4,3,5,1,6,2]=>11 [6,2,5,3,1,4]=>[4,5,3,1,6,2]=>10 [6,2,5,3,4,1]=>[4,1,5,3,6,2]=>10 [6,2,5,4,1,3]=>[3,5,4,1,6,2]=>11 [6,2,5,4,3,1]=>[5,4,3,1,6,2]=>13 [6,3,1,2,4,5]=>[2,4,5,6,3,1]=>7 [6,3,1,2,5,4]=>[2,5,4,6,3,1]=>11 [6,3,1,4,2,5]=>[4,2,5,6,3,1]=>9 [6,3,1,4,5,2]=>[5,2,4,6,3,1]=>9 [6,3,1,5,2,4]=>[4,5,2,6,3,1]=>10 [6,3,1,5,4,2]=>[5,4,2,6,3,1]=>13 [6,3,2,1,4,5]=>[4,5,6,3,2,1]=>8 [6,3,2,1,5,4]=>[5,4,6,3,2,1]=>12 [6,3,2,4,1,5]=>[4,1,5,6,3,2]=>8 [6,3,2,4,5,1]=>[5,1,4,6,3,2]=>8 [6,3,2,5,1,4]=>[4,5,1,6,3,2]=>9 [6,3,2,5,4,1]=>[5,4,1,6,3,2]=>12 [6,3,4,1,2,5]=>[2,4,1,5,6,3]=>7 [6,3,4,1,5,2]=>[5,2,4,1,6,3]=>9 [6,3,4,2,1,5]=>[4,2,1,5,6,3]=>8 [6,3,4,2,5,1]=>[5,1,4,2,6,3]=>8 [6,3,4,5,1,2]=>[2,5,1,4,6,3]=>7 [6,3,4,5,2,1]=>[5,2,1,4,6,3]=>8 [6,3,5,1,2,4]=>[2,4,5,1,6,3]=>8 [6,3,5,1,4,2]=>[4,2,5,1,6,3]=>10 [6,3,5,2,1,4]=>[4,5,2,1,6,3]=>9 [6,3,5,2,4,1]=>[4,1,5,2,6,3]=>9 [6,3,5,4,1,2]=>[2,5,4,1,6,3]=>11 [6,3,5,4,2,1]=>[5,4,2,1,6,3]=>12 [6,4,1,2,3,5]=>[2,3,5,6,4,1]=>8 [6,4,1,2,5,3]=>[2,5,3,6,4,1]=>11 [6,4,1,3,2,5]=>[3,2,5,6,4,1]=>10 [6,4,1,3,5,2]=>[5,2,3,6,4,1]=>10 [6,4,1,5,2,3]=>[3,5,2,6,4,1]=>11 [6,4,1,5,3,2]=>[5,3,2,6,4,1]=>13 [6,4,2,1,3,5]=>[3,5,6,4,2,1]=>9 [6,4,2,1,5,3]=>[5,3,6,4,2,1]=>12 [6,4,2,3,1,5]=>[3,1,5,6,4,2]=>9 [6,4,2,3,5,1]=>[5,1,3,6,4,2]=>9 [6,4,2,5,1,3]=>[3,5,1,6,4,2]=>10 [6,4,2,5,3,1]=>[5,3,1,6,4,2]=>12 [6,4,3,1,2,5]=>[2,5,6,4,3,1]=>10 [6,4,3,1,5,2]=>[5,2,6,4,3,1]=>12 [6,4,3,2,1,5]=>[5,6,4,3,2,1]=>11 [6,4,3,2,5,1]=>[5,1,6,4,3,2]=>11 [6,4,3,5,1,2]=>[2,5,1,6,4,3]=>10 [6,4,3,5,2,1]=>[5,2,1,6,4,3]=>11 [6,4,5,1,2,3]=>[2,3,5,1,6,4]=>8 [6,4,5,1,3,2]=>[3,2,5,1,6,4]=>10 [6,4,5,2,1,3]=>[3,5,2,1,6,4]=>9 [6,4,5,2,3,1]=>[3,1,5,2,6,4]=>9 [6,4,5,3,1,2]=>[2,5,3,1,6,4]=>10 [6,4,5,3,2,1]=>[5,3,2,1,6,4]=>11 [6,5,1,2,3,4]=>[2,3,4,6,5,1]=>9 [6,5,1,2,4,3]=>[2,4,3,6,5,1]=>12 [6,5,1,3,2,4]=>[3,2,4,6,5,1]=>11 [6,5,1,3,4,2]=>[4,2,3,6,5,1]=>11 [6,5,1,4,2,3]=>[3,4,2,6,5,1]=>12 [6,5,1,4,3,2]=>[4,3,2,6,5,1]=>14 [6,5,2,1,3,4]=>[3,4,6,5,2,1]=>10 [6,5,2,1,4,3]=>[4,3,6,5,2,1]=>13 [6,5,2,3,1,4]=>[3,1,4,6,5,2]=>10 [6,5,2,3,4,1]=>[4,1,3,6,5,2]=>10 [6,5,2,4,1,3]=>[3,4,1,6,5,2]=>11 [6,5,2,4,3,1]=>[4,3,1,6,5,2]=>13 [6,5,3,1,2,4]=>[2,4,6,5,3,1]=>11 [6,5,3,1,4,2]=>[4,2,6,5,3,1]=>13 [6,5,3,2,1,4]=>[4,6,5,3,2,1]=>12 [6,5,3,2,4,1]=>[4,1,6,5,3,2]=>12 [6,5,3,4,1,2]=>[2,4,1,6,5,3]=>11 [6,5,3,4,2,1]=>[4,2,1,6,5,3]=>12 [6,5,4,1,2,3]=>[2,3,6,5,4,1]=>12 [6,5,4,1,3,2]=>[3,2,6,5,4,1]=>14 [6,5,4,2,1,3]=>[3,6,5,4,2,1]=>13 [6,5,4,2,3,1]=>[3,1,6,5,4,2]=>13 [6,5,4,3,1,2]=>[2,6,5,4,3,1]=>14 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>15 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>6 [1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>5 [1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>5 [1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>6 [1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>11 [1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>4 [1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>10 [1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>4 [1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>4 [1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>5 [1,2,3,5,7,6,4]=>[1,2,3,7,6,4,5]=>10 [1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>5 [1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>10 [1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>9 [1,2,3,6,5,7,4]=>[1,2,3,7,4,6,5]=>9 [1,2,3,6,7,4,5]=>[1,2,3,5,7,4,6]=>5 [1,2,3,6,7,5,4]=>[1,2,3,7,5,4,6]=>9 [1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>6 [1,2,3,7,4,6,5]=>[1,2,3,6,5,7,4]=>11 [1,2,3,7,5,4,6]=>[1,2,3,6,7,5,4]=>10 [1,2,3,7,5,6,4]=>[1,2,3,6,4,7,5]=>10 [1,2,3,7,6,4,5]=>[1,2,3,5,7,6,4]=>11 [1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>15 [1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>3 [1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>9 [1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>8 [1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>8 [1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>9 [1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>14 [1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>3 [1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>9 [1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>3 [1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>3 [1,2,4,5,7,3,6]=>[1,2,6,7,3,4,5]=>4 [1,2,4,5,7,6,3]=>[1,2,7,6,3,4,5]=>9 [1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>4 [1,2,4,6,3,7,5]=>[1,2,7,5,6,3,4]=>9 [1,2,4,6,5,3,7]=>[1,2,6,5,3,4,7]=>8 [1,2,4,6,5,7,3]=>[1,2,7,3,4,6,5]=>8 [1,2,4,6,7,3,5]=>[1,2,5,7,3,4,6]=>4 [1,2,4,6,7,5,3]=>[1,2,7,5,3,4,6]=>8 [1,2,4,7,3,5,6]=>[1,2,5,6,7,3,4]=>5 [1,2,4,7,3,6,5]=>[1,2,6,5,7,3,4]=>10 [1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>9 [1,2,4,7,5,6,3]=>[1,2,6,3,4,7,5]=>9 [1,2,4,7,6,3,5]=>[1,2,5,7,6,3,4]=>10 [1,2,4,7,6,5,3]=>[1,2,7,6,5,3,4]=>14 [1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>4 [1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>10 [1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>8 [1,2,5,3,6,7,4]=>[1,2,7,4,5,3,6]=>8 [1,2,5,3,7,4,6]=>[1,2,6,7,4,5,3]=>9 [1,2,5,3,7,6,4]=>[1,2,7,6,4,5,3]=>14 [1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>7 [1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>13 [1,2,5,4,6,3,7]=>[1,2,6,3,5,4,7]=>7 [1,2,5,4,6,7,3]=>[1,2,7,3,5,4,6]=>7 [1,2,5,4,7,3,6]=>[1,2,6,7,3,5,4]=>8 [1,2,5,4,7,6,3]=>[1,2,7,6,3,5,4]=>13 [1,2,5,6,3,4,7]=>[1,2,4,6,3,5,7]=>4 [1,2,5,6,3,7,4]=>[1,2,7,4,6,3,5]=>8 [1,2,5,6,4,3,7]=>[1,2,6,4,3,5,7]=>7 [1,2,5,6,4,7,3]=>[1,2,7,3,6,4,5]=>7 [1,2,5,6,7,3,4]=>[1,2,4,7,3,5,6]=>4 [1,2,5,6,7,4,3]=>[1,2,7,4,3,5,6]=>7 [1,2,5,7,3,4,6]=>[1,2,4,6,7,3,5]=>5 [1,2,5,7,3,6,4]=>[1,2,6,4,7,3,5]=>9 [1,2,5,7,4,3,6]=>[1,2,6,7,4,3,5]=>8 [1,2,5,7,4,6,3]=>[1,2,6,3,7,4,5]=>8 [1,2,5,7,6,3,4]=>[1,2,4,7,6,3,5]=>10 [1,2,5,7,6,4,3]=>[1,2,7,6,4,3,5]=>13 [1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>5 [1,2,6,3,4,7,5]=>[1,2,4,7,5,6,3]=>10 [1,2,6,3,5,4,7]=>[1,2,5,4,6,3,7]=>9 [1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>9 [1,2,6,3,7,4,5]=>[1,2,5,7,4,6,3]=>10 [1,2,6,3,7,5,4]=>[1,2,7,5,4,6,3]=>14 [1,2,6,4,3,5,7]=>[1,2,5,6,4,3,7]=>8 [1,2,6,4,3,7,5]=>[1,2,7,5,6,4,3]=>13 [1,2,6,4,5,3,7]=>[1,2,5,3,6,4,7]=>8 [1,2,6,4,5,7,3]=>[1,2,7,3,5,6,4]=>8 [1,2,6,4,7,3,5]=>[1,2,5,7,3,6,4]=>9 [1,2,6,4,7,5,3]=>[1,2,7,5,3,6,4]=>13 [1,2,6,5,3,4,7]=>[1,2,4,6,5,3,7]=>9 [1,2,6,5,3,7,4]=>[1,2,7,4,6,5,3]=>13 [1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>12 [1,2,6,5,4,7,3]=>[1,2,7,3,6,5,4]=>12 [1,2,6,5,7,3,4]=>[1,2,4,7,3,6,5]=>9 [1,2,6,5,7,4,3]=>[1,2,7,4,3,6,5]=>12 [1,2,6,7,3,4,5]=>[1,2,4,5,7,3,6]=>5 [1,2,6,7,3,5,4]=>[1,2,5,4,7,3,6]=>9 [1,2,6,7,4,3,5]=>[1,2,5,7,4,3,6]=>8 [1,2,6,7,4,5,3]=>[1,2,5,3,7,4,6]=>8 [1,2,6,7,5,3,4]=>[1,2,4,7,5,3,6]=>9 [1,2,6,7,5,4,3]=>[1,2,7,5,4,3,6]=>12 [1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>6 [1,2,7,3,4,6,5]=>[1,2,4,6,5,7,3]=>11 [1,2,7,3,5,4,6]=>[1,2,5,4,6,7,3]=>10 [1,2,7,3,5,6,4]=>[1,2,6,4,5,7,3]=>10 [1,2,7,3,6,4,5]=>[1,2,5,6,4,7,3]=>11 [1,2,7,3,6,5,4]=>[1,2,6,5,4,7,3]=>15 [1,2,7,4,3,5,6]=>[1,2,5,6,7,4,3]=>9 [1,2,7,4,3,6,5]=>[1,2,6,5,7,4,3]=>14 [1,2,7,4,5,3,6]=>[1,2,5,3,6,7,4]=>9 [1,2,7,4,5,6,3]=>[1,2,6,3,5,7,4]=>9 [1,2,7,4,6,3,5]=>[1,2,5,6,3,7,4]=>10 [1,2,7,4,6,5,3]=>[1,2,6,5,3,7,4]=>14 [1,2,7,5,3,4,6]=>[1,2,4,6,7,5,3]=>10 [1,2,7,5,3,6,4]=>[1,2,6,4,7,5,3]=>14 [1,2,7,5,4,3,6]=>[1,2,6,7,5,4,3]=>13 [1,2,7,5,4,6,3]=>[1,2,6,3,7,5,4]=>13 [1,2,7,5,6,3,4]=>[1,2,4,6,3,7,5]=>10 [1,2,7,5,6,4,3]=>[1,2,6,4,3,7,5]=>13 [1,2,7,6,3,4,5]=>[1,2,4,5,7,6,3]=>11 [1,2,7,6,3,5,4]=>[1,2,5,4,7,6,3]=>15 [1,2,7,6,4,3,5]=>[1,2,5,7,6,4,3]=>14 [1,2,7,6,4,5,3]=>[1,2,5,3,7,6,4]=>14 [1,2,7,6,5,3,4]=>[1,2,4,7,6,5,3]=>15 [1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>18 [1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>2 [1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>8 [1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>7 [1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>7 [1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>8 [1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>13 [1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>6 [1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>12 [1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>6 [1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>6 [1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>7 [1,3,2,5,7,6,4]=>[1,3,2,7,6,4,5]=>12 [1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>7 [1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>12 [1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>11 [1,3,2,6,5,7,4]=>[1,3,2,7,4,6,5]=>11 [1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>7 [1,3,2,6,7,5,4]=>[1,3,2,7,5,4,6]=>11 [1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>8 [1,3,2,7,4,6,5]=>[1,3,2,6,5,7,4]=>13 [1,3,2,7,5,4,6]=>[1,3,2,6,7,5,4]=>12 [1,3,2,7,5,6,4]=>[1,3,2,6,4,7,5]=>12 [1,3,2,7,6,4,5]=>[1,3,2,5,7,6,4]=>13 [1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>17 [1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>2 [1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>8 [1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>7 [1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>7 [1,3,4,2,7,5,6]=>[1,4,2,3,6,7,5]=>8 [1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>13 [1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>3 [1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>9 [1,3,5,6,2,4,7]=>[1,4,6,2,3,5,7]=>3 [1,3,6,2,4,5,7]=>[1,4,5,6,2,3,7]=>4 [1,3,6,5,2,4,7]=>[1,4,6,5,2,3,7]=>8 [1,3,6,7,2,4,5]=>[1,4,5,7,2,3,6]=>4 [1,3,7,2,4,5,6]=>[1,4,5,6,7,2,3]=>5 [1,3,7,5,6,2,4]=>[1,4,6,2,3,7,5]=>9 [1,3,7,6,2,4,5]=>[1,4,5,7,6,2,3]=>10 [1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>3 [1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>9 [1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>8 [1,4,2,3,6,7,5]=>[1,3,4,2,7,5,6]=>8 [1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>9 [1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5]=>14 [1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>5 [1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>11 [1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>10 [1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>10 [1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5]=>11 [1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>16 [1,4,5,2,3,6,7]=>[1,3,5,2,4,6,7]=>3 [1,4,5,2,3,7,6]=>[1,3,5,2,4,7,6]=>9 [1,4,5,6,2,3,7]=>[1,3,6,2,4,5,7]=>3 [1,4,5,6,7,2,3]=>[1,3,7,2,4,5,6]=>3 [1,4,5,7,2,3,6]=>[1,3,6,7,2,4,5]=>4 [1,4,5,7,6,2,3]=>[1,3,7,6,2,4,5]=>9 [1,4,6,2,3,5,7]=>[1,3,5,6,2,4,7]=>4 [1,4,6,2,3,7,5]=>[1,3,7,5,6,2,4]=>9 [1,4,6,5,2,3,7]=>[1,3,6,5,2,4,7]=>8 [1,4,6,5,7,2,3]=>[1,3,7,2,4,6,5]=>8 [1,4,6,7,2,3,5]=>[1,3,5,7,2,4,6]=>4 [1,4,6,7,5,2,3]=>[1,3,7,5,2,4,6]=>8 [1,4,7,2,3,5,6]=>[1,3,5,6,7,2,4]=>5 [1,4,7,2,3,6,5]=>[1,3,6,5,7,2,4]=>10 [1,4,7,5,2,3,6]=>[1,3,6,7,5,2,4]=>9 [1,4,7,5,6,2,3]=>[1,3,6,2,4,7,5]=>9 [1,4,7,6,2,3,5]=>[1,3,5,7,6,2,4]=>10 [1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>14 [1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>4 [1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>10 [1,5,2,3,6,4,7]=>[1,3,6,4,5,2,7]=>8 [1,5,2,3,6,7,4]=>[1,3,7,4,5,2,6]=>8 [1,5,2,3,7,4,6]=>[1,3,6,7,4,5,2]=>9 [1,5,2,3,7,6,4]=>[1,3,7,6,4,5,2]=>14 [1,5,2,4,3,6,7]=>[1,4,3,5,2,6,7]=>7 [1,5,2,4,3,7,6]=>[1,4,3,5,2,7,6]=>13 [1,5,2,6,3,4,7]=>[1,4,6,3,5,2,7]=>8 [1,5,3,2,4,6,7]=>[1,4,5,3,2,6,7]=>6 [1,5,3,2,4,7,6]=>[1,4,5,3,2,7,6]=>12 [1,5,3,4,2,6,7]=>[1,4,2,5,3,6,7]=>6 [1,5,3,4,2,7,6]=>[1,4,2,5,3,7,6]=>12 [1,5,3,6,2,4,7]=>[1,4,6,2,5,3,7]=>7 [1,5,4,2,3,6,7]=>[1,3,5,4,2,6,7]=>7 [1,5,4,2,3,7,6]=>[1,3,5,4,2,7,6]=>13 [1,5,4,6,2,3,7]=>[1,3,6,2,5,4,7]=>7 [1,5,4,6,7,2,3]=>[1,3,7,2,5,4,6]=>7 [1,5,4,7,2,3,6]=>[1,3,6,7,2,5,4]=>8 [1,5,4,7,6,2,3]=>[1,3,7,6,2,5,4]=>13 [1,5,6,2,3,4,7]=>[1,3,4,6,2,5,7]=>4 [1,5,6,2,3,7,4]=>[1,3,7,4,6,2,5]=>8 [1,5,6,2,4,3,7]=>[1,4,3,6,2,5,7]=>7 [1,5,6,3,2,4,7]=>[1,4,6,3,2,5,7]=>6 [1,5,6,3,4,2,7]=>[1,4,2,6,3,5,7]=>6 [1,5,6,4,2,3,7]=>[1,3,6,4,2,5,7]=>7 [1,5,6,4,7,2,3]=>[1,3,7,2,6,4,5]=>7 [1,5,6,7,2,3,4]=>[1,3,4,7,2,5,6]=>4 [1,5,6,7,2,4,3]=>[1,4,3,7,2,5,6]=>7 [1,5,6,7,3,4,2]=>[1,4,2,7,3,5,6]=>6 [1,5,6,7,4,2,3]=>[1,3,7,4,2,5,6]=>7 [1,5,7,2,3,4,6]=>[1,3,4,6,7,2,5]=>5 [1,5,7,2,3,6,4]=>[1,3,6,4,7,2,5]=>9 [1,5,7,2,4,3,6]=>[1,4,3,6,7,2,5]=>8 [1,5,7,2,6,3,4]=>[1,4,6,3,7,2,5]=>9 [1,5,7,3,4,2,6]=>[1,4,2,6,7,3,5]=>7 [1,5,7,3,6,2,4]=>[1,4,6,2,7,3,5]=>8 [1,5,7,4,2,3,6]=>[1,3,6,7,4,2,5]=>8 [1,5,7,4,6,2,3]=>[1,3,6,2,7,4,5]=>8 [1,5,7,6,2,3,4]=>[1,3,4,7,6,2,5]=>10 [1,5,7,6,2,4,3]=>[1,4,3,7,6,2,5]=>13 [1,5,7,6,3,4,2]=>[1,4,2,7,6,3,5]=>12 [1,5,7,6,4,2,3]=>[1,3,7,6,4,2,5]=>13 [1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>5 [1,6,2,3,4,7,5]=>[1,3,4,7,5,6,2]=>10 [1,6,2,3,5,4,7]=>[1,3,5,4,6,2,7]=>9 [1,6,2,3,5,7,4]=>[1,3,7,4,5,6,2]=>9 [1,6,2,3,7,4,5]=>[1,3,5,7,4,6,2]=>10 [1,6,2,3,7,5,4]=>[1,3,7,5,4,6,2]=>14 [1,6,2,4,3,5,7]=>[1,4,3,5,6,2,7]=>8 [1,6,2,4,3,7,5]=>[1,4,3,7,5,6,2]=>13 [1,6,2,5,3,4,7]=>[1,4,5,3,6,2,7]=>9 [1,6,2,7,3,4,5]=>[1,4,5,7,3,6,2]=>10 [1,6,3,2,4,5,7]=>[1,4,5,6,3,2,7]=>7 [1,6,3,4,2,5,7]=>[1,4,2,5,6,3,7]=>7 [1,6,3,4,2,7,5]=>[1,4,2,7,5,6,3]=>12 [1,6,3,5,2,4,7]=>[1,4,5,2,6,3,7]=>8 [1,6,3,7,2,4,5]=>[1,4,5,7,2,6,3]=>9 [1,6,4,2,3,5,7]=>[1,3,5,6,4,2,7]=>8 [1,6,4,2,3,7,5]=>[1,3,7,5,6,4,2]=>13 [1,6,4,5,2,3,7]=>[1,3,5,2,6,4,7]=>8 [1,6,4,5,7,2,3]=>[1,3,7,2,5,6,4]=>8 [1,6,4,7,2,3,5]=>[1,3,5,7,2,6,4]=>9 [1,6,4,7,5,2,3]=>[1,3,7,5,2,6,4]=>13 [1,6,5,2,3,4,7]=>[1,3,4,6,5,2,7]=>9 [1,6,5,2,3,7,4]=>[1,3,7,4,6,5,2]=>13 [1,6,5,2,4,3,7]=>[1,4,3,6,5,2,7]=>12 [1,6,5,3,2,4,7]=>[1,4,6,5,3,2,7]=>11 [1,6,5,3,4,2,7]=>[1,4,2,6,5,3,7]=>11 [1,6,5,4,2,3,7]=>[1,3,6,5,4,2,7]=>12 [1,6,5,4,7,2,3]=>[1,3,7,2,6,5,4]=>12 [1,6,5,7,2,3,4]=>[1,3,4,7,2,6,5]=>9 [1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>12 [1,6,5,7,3,4,2]=>[1,4,2,7,3,6,5]=>11 [1,6,5,7,4,2,3]=>[1,3,7,4,2,6,5]=>12 [1,6,7,2,3,4,5]=>[1,3,4,5,7,2,6]=>5 [1,6,7,2,3,5,4]=>[1,3,5,4,7,2,6]=>9 [1,6,7,2,4,3,5]=>[1,4,3,5,7,2,6]=>8 [1,6,7,2,5,3,4]=>[1,4,5,3,7,2,6]=>9 [1,6,7,3,2,4,5]=>[1,4,5,7,3,2,6]=>7 [1,6,7,3,4,2,5]=>[1,4,2,5,7,3,6]=>7 [1,6,7,3,5,2,4]=>[1,4,5,2,7,3,6]=>8 [1,6,7,4,2,3,5]=>[1,3,5,7,4,2,6]=>8 [1,6,7,4,5,2,3]=>[1,3,5,2,7,4,6]=>8 [1,6,7,5,2,3,4]=>[1,3,4,7,5,2,6]=>9 [1,6,7,5,2,4,3]=>[1,4,3,7,5,2,6]=>12 [1,6,7,5,3,4,2]=>[1,4,2,7,5,3,6]=>11 [1,6,7,5,4,2,3]=>[1,3,7,5,4,2,6]=>12 [1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>6 [1,7,2,3,4,6,5]=>[1,3,4,6,5,7,2]=>11 [1,7,2,3,5,4,6]=>[1,3,5,4,6,7,2]=>10 [1,7,2,3,5,6,4]=>[1,3,6,4,5,7,2]=>10 [1,7,2,3,6,4,5]=>[1,3,5,6,4,7,2]=>11 [1,7,2,3,6,5,4]=>[1,3,6,5,4,7,2]=>15 [1,7,2,4,3,5,6]=>[1,4,3,5,6,7,2]=>9 [1,7,2,4,3,6,5]=>[1,4,3,6,5,7,2]=>14 [1,7,2,5,3,4,6]=>[1,4,5,3,6,7,2]=>10 [1,7,2,5,6,3,4]=>[1,4,6,3,5,7,2]=>10 [1,7,2,6,3,4,5]=>[1,4,5,6,3,7,2]=>11 [1,7,2,6,5,3,4]=>[1,4,6,5,3,7,2]=>15 [1,7,3,2,4,5,6]=>[1,4,5,6,7,3,2]=>8 [1,7,3,4,2,5,6]=>[1,4,2,5,6,7,3]=>8 [1,7,3,4,2,6,5]=>[1,4,2,6,5,7,3]=>13 [1,7,3,5,2,4,6]=>[1,4,5,2,6,7,3]=>9 [1,7,3,5,6,2,4]=>[1,4,6,2,5,7,3]=>9 [1,7,3,6,2,4,5]=>[1,4,5,6,2,7,3]=>10 [1,7,3,6,5,2,4]=>[1,4,6,5,2,7,3]=>14 [1,7,4,2,3,5,6]=>[1,3,5,6,7,4,2]=>9 [1,7,4,2,3,6,5]=>[1,3,6,5,7,4,2]=>14 [1,7,4,5,2,3,6]=>[1,3,5,2,6,7,4]=>9 [1,7,4,5,6,2,3]=>[1,3,6,2,5,7,4]=>9 [1,7,4,6,2,3,5]=>[1,3,5,6,2,7,4]=>10 [1,7,4,6,5,2,3]=>[1,3,6,5,2,7,4]=>14 [1,7,5,2,3,4,6]=>[1,3,4,6,7,5,2]=>10 [1,7,5,2,3,6,4]=>[1,3,6,4,7,5,2]=>14 [1,7,5,2,4,3,6]=>[1,4,3,6,7,5,2]=>13 [1,7,5,2,6,3,4]=>[1,4,6,3,7,5,2]=>14 [1,7,5,3,4,2,6]=>[1,4,2,6,7,5,3]=>12 [1,7,5,3,6,2,4]=>[1,4,6,2,7,5,3]=>13 [1,7,5,4,2,3,6]=>[1,3,6,7,5,4,2]=>13 [1,7,5,4,6,2,3]=>[1,3,6,2,7,5,4]=>13 [1,7,5,6,2,3,4]=>[1,3,4,6,2,7,5]=>10 [1,7,5,6,2,4,3]=>[1,4,3,6,2,7,5]=>13 [1,7,5,6,3,2,4]=>[1,4,6,3,2,7,5]=>12 [1,7,5,6,3,4,2]=>[1,4,2,6,3,7,5]=>12 [1,7,5,6,4,2,3]=>[1,3,6,4,2,7,5]=>13 [1,7,6,2,3,4,5]=>[1,3,4,5,7,6,2]=>11 [1,7,6,2,3,5,4]=>[1,3,5,4,7,6,2]=>15 [1,7,6,2,4,3,5]=>[1,4,3,5,7,6,2]=>14 [1,7,6,2,5,3,4]=>[1,4,5,3,7,6,2]=>15 [1,7,6,3,2,4,5]=>[1,4,5,7,6,3,2]=>13 [1,7,6,3,4,2,5]=>[1,4,2,5,7,6,3]=>13 [1,7,6,3,5,2,4]=>[1,4,5,2,7,6,3]=>14 [1,7,6,4,2,3,5]=>[1,3,5,7,6,4,2]=>14 [1,7,6,4,5,2,3]=>[1,3,5,2,7,6,4]=>14 [1,7,6,5,2,3,4]=>[1,3,4,7,6,5,2]=>15 [1,7,6,5,2,4,3]=>[1,4,3,7,6,5,2]=>18 [1,7,6,5,3,4,2]=>[1,4,2,7,6,5,3]=>17 [1,7,6,5,4,2,3]=>[1,3,7,6,5,4,2]=>18
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Description
The mak of a permutation.
According to [1], this is the sum of the number of occurrences of the vincular patterns $(2\underline{31})$, $(\underline{32}1)$, $(1\underline{32})$, $(\underline{21})$, where matches of the underlined letters must be adjacent.
Map
invert Laguerre heap
Description
The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.