edit this statistic or download as text // json
Identifier
Values
=>
[]=>0 [1]=>0 [1,2]=>0 [2,1]=>1 [1,2,3]=>0 [1,3,2]=>1 [2,1,3]=>1 [2,3,1]=>2 [3,1,2]=>2 [3,2,1]=>3 [1,2,3,4]=>0 [1,2,4,3]=>1 [1,3,2,4]=>1 [1,3,4,2]=>2 [1,4,2,3]=>2 [1,4,3,2]=>3 [2,1,3,4]=>1 [2,1,4,3]=>2 [2,3,1,4]=>2 [2,3,4,1]=>3 [2,4,1,3]=>3 [2,4,3,1]=>4 [3,1,2,4]=>2 [3,1,4,2]=>3 [3,2,1,4]=>3 [3,2,4,1]=>4 [3,4,1,2]=>4 [3,4,2,1]=>5 [4,1,2,3]=>3 [4,1,3,2]=>4 [4,2,1,3]=>4 [4,2,3,1]=>5 [4,3,1,2]=>5 [4,3,2,1]=>6 [1,2,3,4,5]=>0 [1,2,3,5,4]=>1 [1,2,4,3,5]=>1 [1,2,4,5,3]=>2 [1,2,5,3,4]=>2 [1,2,5,4,3]=>3 [1,3,2,4,5]=>1 [1,3,2,5,4]=>2 [1,3,4,2,5]=>2 [1,3,4,5,2]=>3 [1,3,5,2,4]=>3 [1,3,5,4,2]=>4 [1,4,2,3,5]=>2 [1,4,2,5,3]=>3 [1,4,3,2,5]=>3 [1,4,3,5,2]=>4 [1,4,5,2,3]=>4 [1,4,5,3,2]=>5 [1,5,2,3,4]=>3 [1,5,2,4,3]=>4 [1,5,3,2,4]=>4 [1,5,3,4,2]=>5 [1,5,4,2,3]=>5 [1,5,4,3,2]=>6 [2,1,3,4,5]=>1 [2,1,3,5,4]=>2 [2,1,4,3,5]=>2 [2,1,4,5,3]=>3 [2,1,5,3,4]=>3 [2,1,5,4,3]=>4 [2,3,1,4,5]=>2 [2,3,1,5,4]=>3 [2,3,4,1,5]=>3 [2,3,4,5,1]=>4 [2,3,5,1,4]=>4 [2,3,5,4,1]=>5 [2,4,1,3,5]=>3 [2,4,1,5,3]=>4 [2,4,3,1,5]=>4 [2,4,3,5,1]=>5 [2,4,5,1,3]=>5 [2,4,5,3,1]=>6 [2,5,1,3,4]=>4 [2,5,1,4,3]=>5 [2,5,3,1,4]=>5 [2,5,3,4,1]=>6 [2,5,4,1,3]=>6 [2,5,4,3,1]=>7 [3,1,2,4,5]=>2 [3,1,2,5,4]=>3 [3,1,4,2,5]=>3 [3,1,4,5,2]=>4 [3,1,5,2,4]=>4 [3,1,5,4,2]=>5 [3,2,1,4,5]=>3 [3,2,1,5,4]=>4 [3,2,4,1,5]=>4 [3,2,4,5,1]=>5 [3,2,5,1,4]=>5 [3,2,5,4,1]=>6 [3,4,1,2,5]=>4 [3,4,1,5,2]=>5 [3,4,2,1,5]=>5 [3,4,2,5,1]=>6 [3,4,5,1,2]=>6 [3,4,5,2,1]=>7 [3,5,1,2,4]=>5 [3,5,1,4,2]=>6 [3,5,2,1,4]=>6 [3,5,2,4,1]=>7 [3,5,4,1,2]=>7 [3,5,4,2,1]=>8 [4,1,2,3,5]=>3 [4,1,2,5,3]=>4 [4,1,3,2,5]=>4 [4,1,3,5,2]=>5 [4,1,5,2,3]=>5 [4,1,5,3,2]=>6 [4,2,1,3,5]=>4 [4,2,1,5,3]=>5 [4,2,3,1,5]=>5 [4,2,3,5,1]=>6 [4,2,5,1,3]=>6 [4,2,5,3,1]=>7 [4,3,1,2,5]=>5 [4,3,1,5,2]=>6 [4,3,2,1,5]=>6 [4,3,2,5,1]=>7 [4,3,5,1,2]=>7 [4,3,5,2,1]=>8 [4,5,1,2,3]=>6 [4,5,1,3,2]=>7 [4,5,2,1,3]=>7 [4,5,2,3,1]=>8 [4,5,3,1,2]=>8 [4,5,3,2,1]=>9 [5,1,2,3,4]=>4 [5,1,2,4,3]=>5 [5,1,3,2,4]=>5 [5,1,3,4,2]=>6 [5,1,4,2,3]=>6 [5,1,4,3,2]=>7 [5,2,1,3,4]=>5 [5,2,1,4,3]=>6 [5,2,3,1,4]=>6 [5,2,3,4,1]=>7 [5,2,4,1,3]=>7 [5,2,4,3,1]=>8 [5,3,1,2,4]=>6 [5,3,1,4,2]=>7 [5,3,2,1,4]=>7 [5,3,2,4,1]=>8 [5,3,4,1,2]=>8 [5,3,4,2,1]=>9 [5,4,1,2,3]=>7 [5,4,1,3,2]=>8 [5,4,2,1,3]=>8 [5,4,2,3,1]=>9 [5,4,3,1,2]=>9 [5,4,3,2,1]=>10 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>2 [1,2,3,6,4,5]=>2 [1,2,3,6,5,4]=>3 [1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>2 [1,2,4,5,3,6]=>2 [1,2,4,5,6,3]=>3 [1,2,4,6,3,5]=>3 [1,2,4,6,5,3]=>4 [1,2,5,3,4,6]=>2 [1,2,5,3,6,4]=>3 [1,2,5,4,3,6]=>3 [1,2,5,4,6,3]=>4 [1,2,5,6,3,4]=>4 [1,2,5,6,4,3]=>5 [1,2,6,3,4,5]=>3 [1,2,6,3,5,4]=>4 [1,2,6,4,3,5]=>4 [1,2,6,4,5,3]=>5 [1,2,6,5,3,4]=>5 [1,2,6,5,4,3]=>6 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>3 [1,3,2,6,4,5]=>3 [1,3,2,6,5,4]=>4 [1,3,4,2,5,6]=>2 [1,3,4,2,6,5]=>3 [1,3,4,5,2,6]=>3 [1,3,4,5,6,2]=>4 [1,3,4,6,2,5]=>4 [1,3,4,6,5,2]=>5 [1,3,5,2,4,6]=>3 [1,3,5,2,6,4]=>4 [1,3,5,4,2,6]=>4 [1,3,5,4,6,2]=>5 [1,3,5,6,2,4]=>5 [1,3,5,6,4,2]=>6 [1,3,6,2,4,5]=>4 [1,3,6,2,5,4]=>5 [1,3,6,4,2,5]=>5 [1,3,6,4,5,2]=>6 [1,3,6,5,2,4]=>6 [1,3,6,5,4,2]=>7 [1,4,2,3,5,6]=>2 [1,4,2,3,6,5]=>3 [1,4,2,5,3,6]=>3 [1,4,2,5,6,3]=>4 [1,4,2,6,3,5]=>4 [1,4,2,6,5,3]=>5 [1,4,3,2,5,6]=>3 [1,4,3,2,6,5]=>4 [1,4,3,5,2,6]=>4 [1,4,3,5,6,2]=>5 [1,4,3,6,2,5]=>5 [1,4,3,6,5,2]=>6 [1,4,5,2,3,6]=>4 [1,4,5,2,6,3]=>5 [1,4,5,3,2,6]=>5 [1,4,5,3,6,2]=>6 [1,4,5,6,2,3]=>6 [1,4,5,6,3,2]=>7 [1,4,6,2,3,5]=>5 [1,4,6,2,5,3]=>6 [1,4,6,3,2,5]=>6 [1,4,6,3,5,2]=>7 [1,4,6,5,2,3]=>7 [1,4,6,5,3,2]=>8 [1,5,2,3,4,6]=>3 [1,5,2,3,6,4]=>4 [1,5,2,4,3,6]=>4 [1,5,2,4,6,3]=>5 [1,5,2,6,3,4]=>5 [1,5,2,6,4,3]=>6 [1,5,3,2,4,6]=>4 [1,5,3,2,6,4]=>5 [1,5,3,4,2,6]=>5 [1,5,3,4,6,2]=>6 [1,5,3,6,2,4]=>6 [1,5,3,6,4,2]=>7 [1,5,4,2,3,6]=>5 [1,5,4,2,6,3]=>6 [1,5,4,3,2,6]=>6 [1,5,4,3,6,2]=>7 [1,5,4,6,2,3]=>7 [1,5,4,6,3,2]=>8 [1,5,6,2,3,4]=>6 [1,5,6,2,4,3]=>7 [1,5,6,3,2,4]=>7 [1,5,6,3,4,2]=>8 [1,5,6,4,2,3]=>8 [1,5,6,4,3,2]=>9 [1,6,2,3,4,5]=>4 [1,6,2,3,5,4]=>5 [1,6,2,4,3,5]=>5 [1,6,2,4,5,3]=>6 [1,6,2,5,3,4]=>6 [1,6,2,5,4,3]=>7 [1,6,3,2,4,5]=>5 [1,6,3,2,5,4]=>6 [1,6,3,4,2,5]=>6 [1,6,3,4,5,2]=>7 [1,6,3,5,2,4]=>7 [1,6,3,5,4,2]=>8 [1,6,4,2,3,5]=>6 [1,6,4,2,5,3]=>7 [1,6,4,3,2,5]=>7 [1,6,4,3,5,2]=>8 [1,6,4,5,2,3]=>8 [1,6,4,5,3,2]=>9 [1,6,5,2,3,4]=>7 [1,6,5,2,4,3]=>8 [1,6,5,3,2,4]=>8 [1,6,5,3,4,2]=>9 [1,6,5,4,2,3]=>9 [1,6,5,4,3,2]=>10 [2,1,3,4,5,6]=>1 [2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>3 [2,1,3,6,4,5]=>3 [2,1,3,6,5,4]=>4 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>3 [2,1,4,5,3,6]=>3 [2,1,4,5,6,3]=>4 [2,1,4,6,3,5]=>4 [2,1,4,6,5,3]=>5 [2,1,5,3,4,6]=>3 [2,1,5,3,6,4]=>4 [2,1,5,4,3,6]=>4 [2,1,5,4,6,3]=>5 [2,1,5,6,3,4]=>5 [2,1,5,6,4,3]=>6 [2,1,6,3,4,5]=>4 [2,1,6,3,5,4]=>5 [2,1,6,4,3,5]=>5 [2,1,6,4,5,3]=>6 [2,1,6,5,3,4]=>6 [2,1,6,5,4,3]=>7 [2,3,1,4,5,6]=>2 [2,3,1,4,6,5]=>3 [2,3,1,5,4,6]=>3 [2,3,1,5,6,4]=>4 [2,3,1,6,4,5]=>4 [2,3,1,6,5,4]=>5 [2,3,4,1,5,6]=>3 [2,3,4,1,6,5]=>4 [2,3,4,5,1,6]=>4 [2,3,4,5,6,1]=>5 [2,3,4,6,1,5]=>5 [2,3,4,6,5,1]=>6 [2,3,5,1,4,6]=>4 [2,3,5,1,6,4]=>5 [2,3,5,4,1,6]=>5 [2,3,5,4,6,1]=>6 [2,3,5,6,1,4]=>6 [2,3,5,6,4,1]=>7 [2,3,6,1,4,5]=>5 [2,3,6,1,5,4]=>6 [2,3,6,4,1,5]=>6 [2,3,6,4,5,1]=>7 [2,3,6,5,1,4]=>7 [2,3,6,5,4,1]=>8 [2,4,1,3,5,6]=>3 [2,4,1,3,6,5]=>4 [2,4,1,5,3,6]=>4 [2,4,1,5,6,3]=>5 [2,4,1,6,3,5]=>5 [2,4,1,6,5,3]=>6 [2,4,3,1,5,6]=>4 [2,4,3,1,6,5]=>5 [2,4,3,5,1,6]=>5 [2,4,3,5,6,1]=>6 [2,4,3,6,1,5]=>6 [2,4,3,6,5,1]=>7 [2,4,5,1,3,6]=>5 [2,4,5,1,6,3]=>6 [2,4,5,3,1,6]=>6 [2,4,5,3,6,1]=>7 [2,4,5,6,1,3]=>7 [2,4,5,6,3,1]=>8 [2,4,6,1,3,5]=>6 [2,4,6,1,5,3]=>7 [2,4,6,3,1,5]=>7 [2,4,6,3,5,1]=>8 [2,4,6,5,1,3]=>8 [2,4,6,5,3,1]=>9 [2,5,1,3,4,6]=>4 [2,5,1,3,6,4]=>5 [2,5,1,4,3,6]=>5 [2,5,1,4,6,3]=>6 [2,5,1,6,3,4]=>6 [2,5,1,6,4,3]=>7 [2,5,3,1,4,6]=>5 [2,5,3,1,6,4]=>6 [2,5,3,4,1,6]=>6 [2,5,3,4,6,1]=>7 [2,5,3,6,1,4]=>7 [2,5,3,6,4,1]=>8 [2,5,4,1,3,6]=>6 [2,5,4,1,6,3]=>7 [2,5,4,3,1,6]=>7 [2,5,4,3,6,1]=>8 [2,5,4,6,1,3]=>8 [2,5,4,6,3,1]=>9 [2,5,6,1,3,4]=>7 [2,5,6,1,4,3]=>8 [2,5,6,3,1,4]=>8 [2,5,6,3,4,1]=>9 [2,5,6,4,1,3]=>9 [2,5,6,4,3,1]=>10 [2,6,1,3,4,5]=>5 [2,6,1,3,5,4]=>6 [2,6,1,4,3,5]=>6 [2,6,1,4,5,3]=>7 [2,6,1,5,3,4]=>7 [2,6,1,5,4,3]=>8 [2,6,3,1,4,5]=>6 [2,6,3,1,5,4]=>7 [2,6,3,4,1,5]=>7 [2,6,3,4,5,1]=>8 [2,6,3,5,1,4]=>8 [2,6,3,5,4,1]=>9 [2,6,4,1,3,5]=>7 [2,6,4,1,5,3]=>8 [2,6,4,3,1,5]=>8 [2,6,4,3,5,1]=>9 [2,6,4,5,1,3]=>9 [2,6,4,5,3,1]=>10 [2,6,5,1,3,4]=>8 [2,6,5,1,4,3]=>9 [2,6,5,3,1,4]=>9 [2,6,5,3,4,1]=>10 [2,6,5,4,1,3]=>10 [2,6,5,4,3,1]=>11 [3,1,2,4,5,6]=>2 [3,1,2,4,6,5]=>3 [3,1,2,5,4,6]=>3 [3,1,2,5,6,4]=>4 [3,1,2,6,4,5]=>4 [3,1,2,6,5,4]=>5 [3,1,4,2,5,6]=>3 [3,1,4,2,6,5]=>4 [3,1,4,5,2,6]=>4 [3,1,4,5,6,2]=>5 [3,1,4,6,2,5]=>5 [3,1,4,6,5,2]=>6 [3,1,5,2,4,6]=>4 [3,1,5,2,6,4]=>5 [3,1,5,4,2,6]=>5 [3,1,5,4,6,2]=>6 [3,1,5,6,2,4]=>6 [3,1,5,6,4,2]=>7 [3,1,6,2,4,5]=>5 [3,1,6,2,5,4]=>6 [3,1,6,4,2,5]=>6 [3,1,6,4,5,2]=>7 [3,1,6,5,2,4]=>7 [3,1,6,5,4,2]=>8 [3,2,1,4,5,6]=>3 [3,2,1,4,6,5]=>4 [3,2,1,5,4,6]=>4 [3,2,1,5,6,4]=>5 [3,2,1,6,4,5]=>5 [3,2,1,6,5,4]=>6 [3,2,4,1,5,6]=>4 [3,2,4,1,6,5]=>5 [3,2,4,5,1,6]=>5 [3,2,4,5,6,1]=>6 [3,2,4,6,1,5]=>6 [3,2,4,6,5,1]=>7 [3,2,5,1,4,6]=>5 [3,2,5,1,6,4]=>6 [3,2,5,4,1,6]=>6 [3,2,5,4,6,1]=>7 [3,2,5,6,1,4]=>7 [3,2,5,6,4,1]=>8 [3,2,6,1,4,5]=>6 [3,2,6,1,5,4]=>7 [3,2,6,4,1,5]=>7 [3,2,6,4,5,1]=>8 [3,2,6,5,1,4]=>8 [3,2,6,5,4,1]=>9 [3,4,1,2,5,6]=>4 [3,4,1,2,6,5]=>5 [3,4,1,5,2,6]=>5 [3,4,1,5,6,2]=>6 [3,4,1,6,2,5]=>6 [3,4,1,6,5,2]=>7 [3,4,2,1,5,6]=>5 [3,4,2,1,6,5]=>6 [3,4,2,5,1,6]=>6 [3,4,2,5,6,1]=>7 [3,4,2,6,1,5]=>7 [3,4,2,6,5,1]=>8 [3,4,5,1,2,6]=>6 [3,4,5,1,6,2]=>7 [3,4,5,2,1,6]=>7 [3,4,5,2,6,1]=>8 [3,4,5,6,1,2]=>8 [3,4,5,6,2,1]=>9 [3,4,6,1,2,5]=>7 [3,4,6,1,5,2]=>8 [3,4,6,2,1,5]=>8 [3,4,6,2,5,1]=>9 [3,4,6,5,1,2]=>9 [3,4,6,5,2,1]=>10 [3,5,1,2,4,6]=>5 [3,5,1,2,6,4]=>6 [3,5,1,4,2,6]=>6 [3,5,1,4,6,2]=>7 [3,5,1,6,2,4]=>7 [3,5,1,6,4,2]=>8 [3,5,2,1,4,6]=>6 [3,5,2,1,6,4]=>7 [3,5,2,4,1,6]=>7 [3,5,2,4,6,1]=>8 [3,5,2,6,1,4]=>8 [3,5,2,6,4,1]=>9 [3,5,4,1,2,6]=>7 [3,5,4,1,6,2]=>8 [3,5,4,2,1,6]=>8 [3,5,4,2,6,1]=>9 [3,5,4,6,1,2]=>9 [3,5,4,6,2,1]=>10 [3,5,6,1,2,4]=>8 [3,5,6,1,4,2]=>9 [3,5,6,2,1,4]=>9 [3,5,6,2,4,1]=>10 [3,5,6,4,1,2]=>10 [3,5,6,4,2,1]=>11 [3,6,1,2,4,5]=>6 [3,6,1,2,5,4]=>7 [3,6,1,4,2,5]=>7 [3,6,1,4,5,2]=>8 [3,6,1,5,2,4]=>8 [3,6,1,5,4,2]=>9 [3,6,2,1,4,5]=>7 [3,6,2,1,5,4]=>8 [3,6,2,4,1,5]=>8 [3,6,2,4,5,1]=>9 [3,6,2,5,1,4]=>9 [3,6,2,5,4,1]=>10 [3,6,4,1,2,5]=>8 [3,6,4,1,5,2]=>9 [3,6,4,2,1,5]=>9 [3,6,4,2,5,1]=>10 [3,6,4,5,1,2]=>10 [3,6,4,5,2,1]=>11 [3,6,5,1,2,4]=>9 [3,6,5,1,4,2]=>10 [3,6,5,2,1,4]=>10 [3,6,5,2,4,1]=>11 [3,6,5,4,1,2]=>11 [3,6,5,4,2,1]=>12 [4,1,2,3,5,6]=>3 [4,1,2,3,6,5]=>4 [4,1,2,5,3,6]=>4 [4,1,2,5,6,3]=>5 [4,1,2,6,3,5]=>5 [4,1,2,6,5,3]=>6 [4,1,3,2,5,6]=>4 [4,1,3,2,6,5]=>5 [4,1,3,5,2,6]=>5 [4,1,3,5,6,2]=>6 [4,1,3,6,2,5]=>6 [4,1,3,6,5,2]=>7 [4,1,5,2,3,6]=>5 [4,1,5,2,6,3]=>6 [4,1,5,3,2,6]=>6 [4,1,5,3,6,2]=>7 [4,1,5,6,2,3]=>7 [4,1,5,6,3,2]=>8 [4,1,6,2,3,5]=>6 [4,1,6,2,5,3]=>7 [4,1,6,3,2,5]=>7 [4,1,6,3,5,2]=>8 [4,1,6,5,2,3]=>8 [4,1,6,5,3,2]=>9 [4,2,1,3,5,6]=>4 [4,2,1,3,6,5]=>5 [4,2,1,5,3,6]=>5 [4,2,1,5,6,3]=>6 [4,2,1,6,3,5]=>6 [4,2,1,6,5,3]=>7 [4,2,3,1,5,6]=>5 [4,2,3,1,6,5]=>6 [4,2,3,5,1,6]=>6 [4,2,3,5,6,1]=>7 [4,2,3,6,1,5]=>7 [4,2,3,6,5,1]=>8 [4,2,5,1,3,6]=>6 [4,2,5,1,6,3]=>7 [4,2,5,3,1,6]=>7 [4,2,5,3,6,1]=>8 [4,2,5,6,1,3]=>8 [4,2,5,6,3,1]=>9 [4,2,6,1,3,5]=>7 [4,2,6,1,5,3]=>8 [4,2,6,3,1,5]=>8 [4,2,6,3,5,1]=>9 [4,2,6,5,1,3]=>9 [4,2,6,5,3,1]=>10 [4,3,1,2,5,6]=>5 [4,3,1,2,6,5]=>6 [4,3,1,5,2,6]=>6 [4,3,1,5,6,2]=>7 [4,3,1,6,2,5]=>7 [4,3,1,6,5,2]=>8 [4,3,2,1,5,6]=>6 [4,3,2,1,6,5]=>7 [4,3,2,5,1,6]=>7 [4,3,2,5,6,1]=>8 [4,3,2,6,1,5]=>8 [4,3,2,6,5,1]=>9 [4,3,5,1,2,6]=>7 [4,3,5,1,6,2]=>8 [4,3,5,2,1,6]=>8 [4,3,5,2,6,1]=>9 [4,3,5,6,1,2]=>9 [4,3,5,6,2,1]=>10 [4,3,6,1,2,5]=>8 [4,3,6,1,5,2]=>9 [4,3,6,2,1,5]=>9 [4,3,6,2,5,1]=>10 [4,3,6,5,1,2]=>10 [4,3,6,5,2,1]=>11 [4,5,1,2,3,6]=>6 [4,5,1,2,6,3]=>7 [4,5,1,3,2,6]=>7 [4,5,1,3,6,2]=>8 [4,5,1,6,2,3]=>8 [4,5,1,6,3,2]=>9 [4,5,2,1,3,6]=>7 [4,5,2,1,6,3]=>8 [4,5,2,3,1,6]=>8 [4,5,2,3,6,1]=>9 [4,5,2,6,1,3]=>9 [4,5,2,6,3,1]=>10 [4,5,3,1,2,6]=>8 [4,5,3,1,6,2]=>9 [4,5,3,2,1,6]=>9 [4,5,3,2,6,1]=>10 [4,5,3,6,1,2]=>10 [4,5,3,6,2,1]=>11 [4,5,6,1,2,3]=>9 [4,5,6,1,3,2]=>10 [4,5,6,2,1,3]=>10 [4,5,6,2,3,1]=>11 [4,5,6,3,1,2]=>11 [4,5,6,3,2,1]=>12 [4,6,1,2,3,5]=>7 [4,6,1,2,5,3]=>8 [4,6,1,3,2,5]=>8 [4,6,1,3,5,2]=>9 [4,6,1,5,2,3]=>9 [4,6,1,5,3,2]=>10 [4,6,2,1,3,5]=>8 [4,6,2,1,5,3]=>9 [4,6,2,3,1,5]=>9 [4,6,2,3,5,1]=>10 [4,6,2,5,1,3]=>10 [4,6,2,5,3,1]=>11 [4,6,3,1,2,5]=>9 [4,6,3,1,5,2]=>10 [4,6,3,2,1,5]=>10 [4,6,3,2,5,1]=>11 [4,6,3,5,1,2]=>11 [4,6,3,5,2,1]=>12 [4,6,5,1,2,3]=>10 [4,6,5,1,3,2]=>11 [4,6,5,2,1,3]=>11 [4,6,5,2,3,1]=>12 [4,6,5,3,1,2]=>12 [4,6,5,3,2,1]=>13 [5,1,2,3,4,6]=>4 [5,1,2,3,6,4]=>5 [5,1,2,4,3,6]=>5 [5,1,2,4,6,3]=>6 [5,1,2,6,3,4]=>6 [5,1,2,6,4,3]=>7 [5,1,3,2,4,6]=>5 [5,1,3,2,6,4]=>6 [5,1,3,4,2,6]=>6 [5,1,3,4,6,2]=>7 [5,1,3,6,2,4]=>7 [5,1,3,6,4,2]=>8 [5,1,4,2,3,6]=>6 [5,1,4,2,6,3]=>7 [5,1,4,3,2,6]=>7 [5,1,4,3,6,2]=>8 [5,1,4,6,2,3]=>8 [5,1,4,6,3,2]=>9 [5,1,6,2,3,4]=>7 [5,1,6,2,4,3]=>8 [5,1,6,3,2,4]=>8 [5,1,6,3,4,2]=>9 [5,1,6,4,2,3]=>9 [5,1,6,4,3,2]=>10 [5,2,1,3,4,6]=>5 [5,2,1,3,6,4]=>6 [5,2,1,4,3,6]=>6 [5,2,1,4,6,3]=>7 [5,2,1,6,3,4]=>7 [5,2,1,6,4,3]=>8 [5,2,3,1,4,6]=>6 [5,2,3,1,6,4]=>7 [5,2,3,4,1,6]=>7 [5,2,3,4,6,1]=>8 [5,2,3,6,1,4]=>8 [5,2,3,6,4,1]=>9 [5,2,4,1,3,6]=>7 [5,2,4,1,6,3]=>8 [5,2,4,3,1,6]=>8 [5,2,4,3,6,1]=>9 [5,2,4,6,1,3]=>9 [5,2,4,6,3,1]=>10 [5,2,6,1,3,4]=>8 [5,2,6,1,4,3]=>9 [5,2,6,3,1,4]=>9 [5,2,6,3,4,1]=>10 [5,2,6,4,1,3]=>10 [5,2,6,4,3,1]=>11 [5,3,1,2,4,6]=>6 [5,3,1,2,6,4]=>7 [5,3,1,4,2,6]=>7 [5,3,1,4,6,2]=>8 [5,3,1,6,2,4]=>8 [5,3,1,6,4,2]=>9 [5,3,2,1,4,6]=>7 [5,3,2,1,6,4]=>8 [5,3,2,4,1,6]=>8 [5,3,2,4,6,1]=>9 [5,3,2,6,1,4]=>9 [5,3,2,6,4,1]=>10 [5,3,4,1,2,6]=>8 [5,3,4,1,6,2]=>9 [5,3,4,2,1,6]=>9 [5,3,4,2,6,1]=>10 [5,3,4,6,1,2]=>10 [5,3,4,6,2,1]=>11 [5,3,6,1,2,4]=>9 [5,3,6,1,4,2]=>10 [5,3,6,2,1,4]=>10 [5,3,6,2,4,1]=>11 [5,3,6,4,1,2]=>11 [5,3,6,4,2,1]=>12 [5,4,1,2,3,6]=>7 [5,4,1,2,6,3]=>8 [5,4,1,3,2,6]=>8 [5,4,1,3,6,2]=>9 [5,4,1,6,2,3]=>9 [5,4,1,6,3,2]=>10 [5,4,2,1,3,6]=>8 [5,4,2,1,6,3]=>9 [5,4,2,3,1,6]=>9 [5,4,2,3,6,1]=>10 [5,4,2,6,1,3]=>10 [5,4,2,6,3,1]=>11 [5,4,3,1,2,6]=>9 [5,4,3,1,6,2]=>10 [5,4,3,2,1,6]=>10 [5,4,3,2,6,1]=>11 [5,4,3,6,1,2]=>11 [5,4,3,6,2,1]=>12 [5,4,6,1,2,3]=>10 [5,4,6,1,3,2]=>11 [5,4,6,2,1,3]=>11 [5,4,6,2,3,1]=>12 [5,4,6,3,1,2]=>12 [5,4,6,3,2,1]=>13 [5,6,1,2,3,4]=>8 [5,6,1,2,4,3]=>9 [5,6,1,3,2,4]=>9 [5,6,1,3,4,2]=>10 [5,6,1,4,2,3]=>10 [5,6,1,4,3,2]=>11 [5,6,2,1,3,4]=>9 [5,6,2,1,4,3]=>10 [5,6,2,3,1,4]=>10 [5,6,2,3,4,1]=>11 [5,6,2,4,1,3]=>11 [5,6,2,4,3,1]=>12 [5,6,3,1,2,4]=>10 [5,6,3,1,4,2]=>11 [5,6,3,2,1,4]=>11 [5,6,3,2,4,1]=>12 [5,6,3,4,1,2]=>12 [5,6,3,4,2,1]=>13 [5,6,4,1,2,3]=>11 [5,6,4,1,3,2]=>12 [5,6,4,2,1,3]=>12 [5,6,4,2,3,1]=>13 [5,6,4,3,1,2]=>13 [5,6,4,3,2,1]=>14 [6,1,2,3,4,5]=>5 [6,1,2,3,5,4]=>6 [6,1,2,4,3,5]=>6 [6,1,2,4,5,3]=>7 [6,1,2,5,3,4]=>7 [6,1,2,5,4,3]=>8 [6,1,3,2,4,5]=>6 [6,1,3,2,5,4]=>7 [6,1,3,4,2,5]=>7 [6,1,3,4,5,2]=>8 [6,1,3,5,2,4]=>8 [6,1,3,5,4,2]=>9 [6,1,4,2,3,5]=>7 [6,1,4,2,5,3]=>8 [6,1,4,3,2,5]=>8 [6,1,4,3,5,2]=>9 [6,1,4,5,2,3]=>9 [6,1,4,5,3,2]=>10 [6,1,5,2,3,4]=>8 [6,1,5,2,4,3]=>9 [6,1,5,3,2,4]=>9 [6,1,5,3,4,2]=>10 [6,1,5,4,2,3]=>10 [6,1,5,4,3,2]=>11 [6,2,1,3,4,5]=>6 [6,2,1,3,5,4]=>7 [6,2,1,4,3,5]=>7 [6,2,1,4,5,3]=>8 [6,2,1,5,3,4]=>8 [6,2,1,5,4,3]=>9 [6,2,3,1,4,5]=>7 [6,2,3,1,5,4]=>8 [6,2,3,4,1,5]=>8 [6,2,3,4,5,1]=>9 [6,2,3,5,1,4]=>9 [6,2,3,5,4,1]=>10 [6,2,4,1,3,5]=>8 [6,2,4,1,5,3]=>9 [6,2,4,3,1,5]=>9 [6,2,4,3,5,1]=>10 [6,2,4,5,1,3]=>10 [6,2,4,5,3,1]=>11 [6,2,5,1,3,4]=>9 [6,2,5,1,4,3]=>10 [6,2,5,3,1,4]=>10 [6,2,5,3,4,1]=>11 [6,2,5,4,1,3]=>11 [6,2,5,4,3,1]=>12 [6,3,1,2,4,5]=>7 [6,3,1,2,5,4]=>8 [6,3,1,4,2,5]=>8 [6,3,1,4,5,2]=>9 [6,3,1,5,2,4]=>9 [6,3,1,5,4,2]=>10 [6,3,2,1,4,5]=>8 [6,3,2,1,5,4]=>9 [6,3,2,4,1,5]=>9 [6,3,2,4,5,1]=>10 [6,3,2,5,1,4]=>10 [6,3,2,5,4,1]=>11 [6,3,4,1,2,5]=>9 [6,3,4,1,5,2]=>10 [6,3,4,2,1,5]=>10 [6,3,4,2,5,1]=>11 [6,3,4,5,1,2]=>11 [6,3,4,5,2,1]=>12 [6,3,5,1,2,4]=>10 [6,3,5,1,4,2]=>11 [6,3,5,2,1,4]=>11 [6,3,5,2,4,1]=>12 [6,3,5,4,1,2]=>12 [6,3,5,4,2,1]=>13 [6,4,1,2,3,5]=>8 [6,4,1,2,5,3]=>9 [6,4,1,3,2,5]=>9 [6,4,1,3,5,2]=>10 [6,4,1,5,2,3]=>10 [6,4,1,5,3,2]=>11 [6,4,2,1,3,5]=>9 [6,4,2,1,5,3]=>10 [6,4,2,3,1,5]=>10 [6,4,2,3,5,1]=>11 [6,4,2,5,1,3]=>11 [6,4,2,5,3,1]=>12 [6,4,3,1,2,5]=>10 [6,4,3,1,5,2]=>11 [6,4,3,2,1,5]=>11 [6,4,3,2,5,1]=>12 [6,4,3,5,1,2]=>12 [6,4,3,5,2,1]=>13 [6,4,5,1,2,3]=>11 [6,4,5,1,3,2]=>12 [6,4,5,2,1,3]=>12 [6,4,5,2,3,1]=>13 [6,4,5,3,1,2]=>13 [6,4,5,3,2,1]=>14 [6,5,1,2,3,4]=>9 [6,5,1,2,4,3]=>10 [6,5,1,3,2,4]=>10 [6,5,1,3,4,2]=>11 [6,5,1,4,2,3]=>11 [6,5,1,4,3,2]=>12 [6,5,2,1,3,4]=>10 [6,5,2,1,4,3]=>11 [6,5,2,3,1,4]=>11 [6,5,2,3,4,1]=>12 [6,5,2,4,1,3]=>12 [6,5,2,4,3,1]=>13 [6,5,3,1,2,4]=>11 [6,5,3,1,4,2]=>12 [6,5,3,2,1,4]=>12 [6,5,3,2,4,1]=>13 [6,5,3,4,1,2]=>13 [6,5,3,4,2,1]=>14 [6,5,4,1,2,3]=>12 [6,5,4,1,3,2]=>13 [6,5,4,2,1,3]=>13 [6,5,4,2,3,1]=>14 [6,5,4,3,1,2]=>14 [6,5,4,3,2,1]=>15 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>1 [1,2,3,4,6,5,7]=>1 [1,2,3,6,4,7,5]=>3 [1,2,6,3,4,7,5]=>4 [1,3,2,4,5,6,7]=>1 [1,3,7,2,4,5,6]=>5 [1,3,7,6,5,4,2]=>11 [1,4,6,7,2,3,5]=>8 [1,4,6,7,5,3,2]=>11 [1,4,7,2,3,5,6]=>6 [1,4,7,6,5,3,2]=>12 [1,5,2,3,4,7,6]=>4 [1,5,2,7,3,4,6]=>6 [1,5,4,7,6,3,2]=>11 [1,5,6,2,7,3,4]=>8 [1,5,6,4,7,3,2]=>11 [1,5,6,7,2,3,4]=>9 [1,5,6,7,4,3,2]=>12 [1,5,7,2,3,4,6]=>7 [1,5,7,6,4,3,2]=>13 [1,6,2,3,4,7,5]=>5 [1,6,2,3,7,4,5]=>6 [1,6,2,7,3,4,5]=>7 [1,6,5,4,3,7,2]=>11 [1,6,5,4,7,3,2]=>12 [1,6,5,7,4,3,2]=>13 [1,6,7,2,3,4,5]=>8 [1,6,7,5,4,3,2]=>14 [1,7,2,3,4,5,6]=>5 [1,7,3,5,6,4,2]=>11 [1,7,3,6,5,4,2]=>12 [1,7,4,3,6,5,2]=>11 [1,7,4,5,3,6,2]=>11 [1,7,4,5,6,3,2]=>12 [1,7,4,6,5,3,2]=>13 [1,7,5,4,3,6,2]=>12 [1,7,5,4,6,3,2]=>13 [1,7,6,4,5,3,2]=>14 [1,7,6,5,4,3,2]=>15 [2,1,3,4,5,6,7]=>1 [2,1,3,4,7,5,6]=>3 [2,1,3,7,4,5,6]=>4 [2,1,6,3,4,5,7]=>4 [2,1,7,3,4,5,6]=>5 [2,1,7,6,5,4,3]=>11 [2,3,1,4,5,6,7]=>2 [2,3,4,1,5,6,7]=>3 [2,3,4,1,5,7,6]=>4 [2,3,4,5,1,6,7]=>4 [2,3,4,5,1,7,6]=>5 [2,3,4,5,6,1,7]=>5 [2,3,4,5,6,7,1]=>6 [2,3,4,5,7,1,6]=>6 [2,3,4,6,1,7,5]=>6 [2,3,4,6,7,1,5]=>7 [2,3,4,7,1,5,6]=>6 [2,3,5,6,7,1,4]=>8 [2,4,1,3,5,6,7]=>3 [2,5,1,3,4,6,7]=>4 [2,5,7,1,3,4,6]=>8 [2,6,1,3,4,5,7]=>5 [2,6,1,7,3,4,5]=>8 [2,6,5,4,3,1,7]=>11 [2,6,7,1,3,4,5]=>9 [2,7,1,3,4,5,6]=>6 [3,1,2,4,5,6,7]=>2 [3,1,2,4,5,7,6]=>3 [3,2,1,4,5,6,7]=>3 [3,2,4,5,6,7,1]=>7 [3,4,1,2,5,6,7]=>4 [3,4,2,5,6,7,1]=>8 [3,4,5,2,6,7,1]=>9 [3,4,5,6,2,7,1]=>10 [3,4,5,6,7,1,2]=>10 [3,5,6,1,2,4,7]=>8 [3,5,6,4,2,1,7]=>11 [3,6,1,2,4,5,7]=>6 [3,6,5,4,2,1,7]=>12 [4,1,2,3,5,6,7]=>3 [4,1,2,3,5,7,6]=>4 [4,1,6,2,3,5,7]=>6 [4,2,3,5,6,7,1]=>8 [4,2,5,1,3,6,7]=>6 [4,3,2,1,5,6,7]=>6 [4,3,2,5,6,7,1]=>9 [4,3,5,2,6,7,1]=>10 [4,3,6,5,2,1,7]=>11 [4,5,1,6,2,3,7]=>8 [4,5,2,3,6,7,1]=>10 [4,5,3,6,2,1,7]=>11 [4,5,6,1,2,3,7]=>9 [4,5,6,3,2,1,7]=>12 [4,6,1,2,3,5,7]=>7 [4,6,1,2,3,7,5]=>8 [4,6,5,3,2,1,7]=>13 [5,1,2,3,4,6,7]=>4 [5,1,2,3,4,7,6]=>5 [5,1,2,3,6,4,7]=>5 [5,1,2,3,6,7,4]=>6 [5,1,2,3,7,4,6]=>6 [5,1,2,6,3,4,7]=>6 [5,1,6,2,3,4,7]=>7 [5,1,6,2,3,7,4]=>8 [5,2,3,4,6,7,1]=>9 [5,2,6,7,1,3,4]=>11 [5,3,2,4,6,7,1]=>10 [5,3,2,6,1,4,7]=>9 [5,4,3,2,1,6,7]=>10 [5,4,3,2,1,7,6]=>11 [5,4,3,2,6,1,7]=>11 [5,4,3,6,2,1,7]=>12 [5,4,6,3,2,1,7]=>13 [5,6,1,2,3,4,7]=>8 [5,6,1,2,3,7,4]=>9 [5,6,3,4,1,2,7]=>12 [5,6,4,3,2,1,7]=>14 [5,6,7,1,2,3,4]=>12 [6,1,2,3,4,5,7]=>5 [6,1,2,3,4,7,5]=>6 [6,1,2,3,7,4,5]=>7 [6,1,2,7,3,4,5]=>8 [6,2,3,4,5,7,1]=>10 [6,2,4,5,3,1,7]=>11 [6,2,5,4,3,1,7]=>12 [6,3,2,5,4,1,7]=>11 [6,3,4,2,5,1,7]=>11 [6,3,4,5,2,1,7]=>12 [6,3,5,4,2,1,7]=>13 [6,4,3,2,5,1,7]=>12 [6,4,3,2,7,1,5]=>13 [6,4,3,5,2,1,7]=>13 [6,4,7,2,5,1,3]=>15 [6,5,3,4,2,1,7]=>14 [6,5,4,3,2,1,7]=>15 [6,7,1,2,3,4,5]=>10 [6,7,4,5,1,2,3]=>16 [7,1,2,3,4,5,6]=>6 [7,2,1,3,4,5,6]=>7 [7,2,3,1,4,5,6]=>8 [7,2,3,4,1,5,6]=>9 [7,2,3,4,5,1,6]=>10 [7,3,1,2,4,5,6]=>8 [7,3,2,1,4,5,6]=>9 [7,3,2,4,1,5,6]=>10 [7,3,4,1,2,5,6]=>10 [7,4,1,2,3,5,6]=>9 [7,4,2,1,3,5,6]=>10 [7,4,5,6,1,2,3]=>15 [7,5,1,2,3,4,6]=>10 [7,5,6,1,2,3,4]=>14 [7,5,6,3,4,1,2]=>18 [7,6,1,2,3,4,5]=>11 [7,6,4,5,1,2,3]=>17 [7,6,5,1,2,3,4]=>15 [7,6,5,3,4,1,2]=>19 [7,6,5,4,1,2,3]=>18 [7,6,5,4,3,1,2]=>20 [7,6,5,4,3,2,1]=>21 [8,7,6,5,4,3,2,1]=>28 [7,6,8,5,4,3,2,1]=>26 [7,8,5,6,4,3,2,1]=>26 [7,8,6,4,5,3,2,1]=>26 [8,6,7,4,5,3,2,1]=>26 [7,6,5,4,8,3,2,1]=>24 [6,5,7,4,8,3,2,1]=>22 [7,8,6,5,3,4,2,1]=>26 [8,6,7,5,3,4,2,1]=>26 [8,7,5,6,3,4,2,1]=>26 [6,7,8,3,4,5,2,1]=>22 [7,8,6,5,4,2,3,1]=>26 [8,6,7,5,4,2,3,1]=>26 [8,7,5,6,4,2,3,1]=>26 [8,7,6,4,5,2,3,1]=>26 [8,6,5,7,3,2,4,1]=>24 [6,7,8,5,2,3,4,1]=>22 [8,5,6,7,2,3,4,1]=>22 [7,8,3,2,4,5,6,1]=>18 [7,6,5,4,3,2,8,1]=>22 [6,5,7,4,3,2,8,1]=>20 [6,5,4,3,7,2,8,1]=>18 [5,4,6,3,7,2,8,1]=>16 [3,4,5,2,6,7,8,1]=>10 [5,2,3,4,6,7,8,1]=>10 [4,3,2,5,6,7,8,1]=>10 [3,4,2,5,6,7,8,1]=>9 [4,2,3,5,6,7,8,1]=>9 [3,2,4,5,6,7,8,1]=>8 [2,3,4,5,6,7,8,1]=>7 [8,7,6,5,4,3,1,2]=>27 [7,8,6,5,4,3,1,2]=>26 [8,6,7,5,4,3,1,2]=>26 [8,7,5,6,4,3,1,2]=>26 [8,7,6,4,5,3,1,2]=>26 [8,7,6,5,3,4,1,2]=>26 [8,7,5,6,3,4,1,2]=>25 [7,8,5,6,3,4,1,2]=>24 [5,6,7,8,3,4,1,2]=>20 [7,8,3,4,5,6,1,2]=>20 [3,4,5,6,7,8,1,2]=>12 [8,7,6,5,4,2,1,3]=>26 [7,6,8,5,4,2,1,3]=>24 [8,7,6,5,4,1,2,3]=>25 [6,7,8,5,4,1,2,3]=>22 [8,5,6,7,4,1,2,3]=>22 [8,7,6,4,5,1,2,3]=>24 [8,6,7,4,5,1,2,3]=>23 [8,7,4,5,6,1,2,3]=>22 [7,8,4,5,6,1,2,3]=>21 [7,6,5,8,3,2,1,4]=>22 [7,5,6,8,2,3,1,4]=>20 [6,7,5,8,3,1,2,4]=>20 [6,5,7,8,2,1,3,4]=>18 [8,7,6,5,1,2,3,4]=>22 [8,7,5,6,1,2,3,4]=>21 [7,8,5,6,1,2,3,4]=>20 [8,5,6,7,1,2,3,4]=>19 [5,6,7,8,1,2,3,4]=>16 [8,7,6,4,3,2,1,5]=>24 [8,7,6,4,2,1,3,5]=>22 [8,7,6,1,2,3,4,5]=>18 [8,6,7,1,2,3,4,5]=>17 [6,7,8,1,2,3,4,5]=>15 [7,8,5,4,2,1,3,6]=>20 [7,8,5,4,1,2,3,6]=>19 [8,7,1,2,3,4,5,6]=>13 [7,8,1,2,3,4,5,6]=>12 [8,6,5,4,3,2,1,7]=>22 [8,6,5,4,3,1,2,7]=>21 [8,5,6,3,4,1,2,7]=>19 [8,6,5,4,2,1,3,7]=>20 [8,6,4,3,2,1,5,7]=>18 [8,6,4,2,1,3,5,7]=>16 [8,2,3,4,1,5,6,7]=>10 [8,4,1,2,3,5,6,7]=>10 [8,3,2,1,4,5,6,7]=>10 [8,2,3,1,4,5,6,7]=>9 [8,3,1,2,4,5,6,7]=>9 [8,2,1,3,4,5,6,7]=>8 [8,1,2,3,4,5,6,7]=>7 [7,6,5,4,3,2,1,8]=>21 [6,7,5,4,3,2,1,8]=>20 [6,5,7,4,3,2,1,8]=>19 [5,6,7,4,3,2,1,8]=>18 [7,6,4,5,3,2,1,8]=>20 [6,5,4,7,3,2,1,8]=>18 [7,5,6,3,4,2,1,8]=>19 [7,6,4,3,5,2,1,8]=>19 [7,6,3,4,5,2,1,8]=>18 [7,5,4,3,6,2,1,8]=>18 [6,7,5,4,2,3,1,8]=>19 [6,5,7,3,2,4,1,8]=>17 [5,6,7,2,3,4,1,8]=>15 [2,3,4,5,6,7,1,8]=>6 [5,6,7,1,2,3,4,8]=>12 [6,7,1,2,3,4,5,8]=>10 [7,1,2,3,4,5,6,8]=>6 [6,5,4,3,2,1,7,8]=>15 [2,3,4,5,6,1,7,8]=>5 [5,6,3,4,1,2,7,8]=>12 [4,5,6,1,2,3,7,8]=>9 [6,1,2,3,4,5,7,8]=>5 [5,4,3,2,1,6,7,8]=>10 [2,3,4,5,1,6,7,8]=>4 [5,1,2,3,4,6,7,8]=>4 [4,3,2,1,5,6,7,8]=>6 [3,4,1,2,5,6,7,8]=>4 [3,2,1,4,5,6,7,8]=>3 [2,1,3,4,5,6,7,8]=>1 [1,2,3,4,5,6,7,8]=>0 [6,5,8,7,4,3,2,1]=>24 [3,5,8,7,6,4,2,1]=>20 [4,3,6,5,8,7,2,1]=>16 [2,6,8,7,5,4,3,1]=>20 [2,3,5,6,8,7,4,1]=>12 [3,2,6,5,4,8,7,1]=>12 [4,3,6,5,7,2,8,1]=>14 [3,2,6,5,7,4,8,1]=>12 [4,3,5,2,7,6,8,1]=>12 [3,2,5,4,7,6,8,1]=>10 [1,8,7,6,5,4,3,2]=>21 [1,7,8,6,5,4,3,2]=>20 [1,6,8,7,5,4,3,2]=>19 [1,7,6,8,5,4,3,2]=>19 [1,6,7,8,5,4,3,2]=>18 [1,5,8,7,6,4,3,2]=>18 [1,7,6,5,8,4,3,2]=>18 [1,3,5,7,8,6,4,2]=>12 [1,4,3,8,7,6,5,2]=>13 [1,6,5,4,3,8,7,2]=>13 [1,4,3,6,5,8,7,2]=>9 [2,1,8,7,6,5,4,3]=>16 [2,1,6,5,7,4,8,3]=>10 [2,1,5,4,7,6,8,3]=>8 [1,2,6,7,8,5,4,3]=>12 [3,2,1,8,7,6,5,4]=>13 [3,2,1,6,5,8,7,4]=>9 [1,2,3,5,6,7,8,4]=>4 [4,3,2,1,8,7,6,5]=>12 [3,4,2,1,7,8,6,5]=>10 [2,4,3,1,6,8,7,5]=>8 [2,4,3,1,7,6,8,5]=>8 [3,2,4,1,6,8,7,5]=>8 [3,2,4,1,7,6,8,5]=>8 [2,3,4,1,6,7,8,5]=>6 [2,1,4,3,8,7,6,5]=>8 [2,1,4,3,6,8,7,5]=>6 [2,1,4,3,7,6,8,5]=>6 [5,4,3,2,1,8,7,6]=>13 [3,2,5,4,1,8,7,6]=>9 [3,2,1,4,5,8,7,6]=>6 [2,3,1,4,5,7,8,6]=>4 [6,5,4,3,2,1,8,7]=>16 [4,3,5,2,6,1,8,7]=>10 [3,2,5,4,6,1,8,7]=>8 [2,3,4,5,6,1,8,7]=>6 [2,1,6,5,4,3,8,7]=>8 [2,1,4,6,5,3,8,7]=>6 [2,1,5,4,6,3,8,7]=>6 [4,3,2,1,6,5,8,7]=>8 [2,4,3,1,6,5,8,7]=>6 [3,2,4,1,6,5,8,7]=>6 [2,1,4,3,6,5,8,7]=>4 [2,1,3,4,5,6,8,7]=>2 [1,2,3,4,5,6,8,7]=>1 [5,7,6,4,3,2,1,8]=>19 [4,7,6,5,3,2,1,8]=>18 [3,2,7,6,5,4,1,8]=>13 [5,4,3,2,7,6,1,8]=>13 [3,2,5,4,7,6,1,8]=>9 [1,4,3,2,7,6,5,8]=>6 [1,3,4,2,6,7,5,8]=>4 [1,3,2,5,4,7,6,8]=>3 [1,2,3,5,4,7,6,8]=>2 [1,3,2,4,5,7,6,8]=>2 [1,2,3,4,5,7,6,8]=>1 [1,2,4,3,6,5,7,8]=>2 [1,3,2,5,4,6,7,8]=>2 [1,2,3,5,4,6,7,8]=>1 [1,3,2,4,5,6,7,8]=>1 [1,8,4,7,6,5,3,2]=>18 [1,8,5,4,7,6,3,2]=>17 [1,8,7,4,5,6,3,2]=>18 [1,8,7,4,6,5,3,2]=>19 [1,8,6,5,4,7,3,2]=>18 [1,8,7,5,4,6,3,2]=>19 [1,8,7,5,6,4,3,2]=>20 [2,1,4,5,8,6,7,3]=>8 [2,1,8,5,4,7,6,3]=>12 [2,3,4,8,5,6,7,1]=>10 [2,3,6,4,5,1,8,7]=>8 [2,3,7,4,5,6,8,1]=>10 [2,8,4,3,5,7,6,1]=>14 [4,2,3,1,8,6,7,5]=>10 [8,2,7,4,6,5,3,1]=>21 [4,3,2,7,5,6,8,1]=>12 [4,3,2,8,5,7,6,1]=>14 [6,3,2,5,4,1,8,7]=>12 [8,3,2,5,4,7,6,1]=>16 [8,3,2,7,6,5,4,1]=>20 [8,3,7,4,6,5,2,1]=>22 [7,3,6,5,4,2,1,8]=>18 [7,4,3,6,5,2,1,8]=>17 [7,6,3,5,4,2,1,8]=>19 [8,5,4,3,2,7,6,1]=>20 [8,7,4,3,6,5,2,1]=>24 [2,4,6,8,1,3,5,7]=>10 [2,4,6,1,7,3,8,5]=>9 [2,1,4,3,7,5,8,6]=>5 [2,4,1,3,7,5,8,6]=>6 [2,1,4,3,7,8,5,6]=>6 [2,4,7,8,1,3,5,6]=>11 [2,1,4,3,8,5,6,7]=>5 [2,4,5,6,7,1,8,3]=>10 [2,1,5,3,6,4,8,7]=>5 [2,1,5,6,3,4,8,7]=>6 [2,5,6,8,1,3,4,7]=>11 [2,1,5,3,7,4,8,6]=>6 [2,5,1,7,3,4,8,6]=>8 [2,1,5,7,3,8,4,6]=>8 [2,5,7,8,1,3,4,6]=>12 [2,3,5,6,1,7,8,4]=>8 [2,1,6,3,7,4,8,5]=>7 [2,6,7,1,3,4,8,5]=>10 [2,1,6,7,8,3,4,5]=>10 [2,6,7,8,1,3,4,5]=>13 [2,1,6,3,4,7,8,5]=>6 [2,1,6,3,4,5,8,7]=>5 [2,6,1,3,4,5,7,8]=>5 [2,7,8,1,3,4,5,6]=>11 [2,7,1,3,4,5,6,8]=>6 [2,3,4,5,7,8,1,6]=>8 [2,1,8,3,4,5,6,7]=>6 [2,8,1,3,4,5,6,7]=>7 [2,1,3,8,4,5,6,7]=>5 [2,3,4,5,6,8,1,7]=>7 [3,1,4,2,6,5,8,7]=>5 [3,4,1,2,6,5,8,7]=>6 [3,1,4,2,6,8,5,7]=>6 [3,4,6,8,1,2,5,7]=>11 [3,1,4,2,7,5,8,6]=>6 [3,4,1,2,7,8,5,6]=>8 [3,4,7,8,1,2,5,6]=>12 [3,1,5,2,6,4,8,7]=>6 [3,5,1,6,2,4,8,7]=>8 [3,1,5,6,2,8,4,7]=>8 [3,5,6,8,1,2,4,7]=>12 [3,1,5,2,7,4,8,6]=>7 [3,5,1,7,2,8,4,6]=>10 [3,5,7,8,1,2,4,6]=>13 [1,3,2,5,4,8,6,7]=>4 [1,3,5,8,2,4,6,7]=>7 [1,3,5,6,2,7,4,8]=>6 [3,1,6,2,7,4,8,5]=>8 [3,6,7,1,2,8,4,5]=>12 [3,6,1,7,8,2,4,5]=>12 [3,6,7,8,1,2,4,5]=>14 [1,3,2,6,4,7,5,8]=>4 [3,1,2,6,7,4,8,5]=>7 [1,3,2,6,4,8,5,7]=>5 [1,3,2,6,4,5,7,8]=>3 [1,3,2,7,4,8,5,6]=>6 [1,3,2,7,4,5,6,8]=>4 [1,3,2,8,4,5,6,7]=>5 [3,1,2,4,5,8,6,7]=>4 [1,3,2,4,5,8,6,7]=>3 [4,1,5,2,6,3,8,7]=>7 [4,5,6,1,2,3,8,7]=>10 [4,1,5,6,8,2,3,7]=>10 [4,5,6,8,1,2,3,7]=>13 [4,1,5,2,7,3,8,6]=>8 [4,1,5,2,7,8,3,6]=>9 [4,5,7,1,2,8,3,6]=>12 [4,5,1,7,8,2,3,6]=>12 [4,5,7,8,1,2,3,6]=>14 [1,4,2,5,3,7,6,8]=>4 [1,4,2,5,3,8,6,7]=>5 [1,4,2,5,3,6,7,8]=>3 [1,4,5,6,7,2,3,8]=>8 [4,1,6,2,7,3,8,5]=>9 [4,6,7,1,8,2,3,5]=>14 [4,6,7,8,1,2,3,5]=>15 [1,4,2,6,3,7,5,8]=>5 [1,4,2,6,7,8,3,5]=>8 [1,4,2,6,3,8,5,7]=>6 [4,1,2,3,6,5,8,7]=>5 [1,4,2,6,3,5,7,8]=>4 [1,4,2,7,3,8,5,6]=>7 [4,7,1,2,3,5,6,8]=>8 [1,4,2,7,3,5,6,8]=>5 [1,4,2,3,7,5,6,8]=>4 [1,4,2,3,5,7,6,8]=>3 [1,4,2,8,3,5,6,7]=>6 [4,1,2,3,8,5,6,7]=>6 [1,4,2,3,5,8,6,7]=>4 [1,4,2,3,5,6,7,8]=>2 [5,1,6,2,7,3,8,4]=>10 [1,5,2,6,3,7,4,8]=>6 [1,5,2,6,3,8,4,7]=>7 [1,5,2,6,3,4,7,8]=>5 [1,2,5,6,3,4,7,8]=>4 [1,5,2,7,3,8,4,6]=>8 [5,7,1,2,3,4,6,8]=>9 [1,5,2,7,3,4,6,8]=>6 [1,5,2,3,4,7,6,8]=>4 [5,1,2,8,3,4,6,7]=>8 [1,5,2,8,3,4,6,7]=>7 [1,5,8,2,3,4,6,7]=>8 [1,5,2,3,4,8,6,7]=>5 [1,2,3,5,4,8,6,7]=>3 [5,1,2,3,4,6,8,7]=>5 [1,5,2,3,4,6,7,8]=>3 [1,6,2,7,3,8,4,5]=>9 [1,6,7,8,2,3,4,5]=>12 [6,7,1,2,3,4,8,5]=>11 [6,1,7,2,3,4,5,8]=>9 [6,1,2,7,3,4,5,8]=>8 [1,6,2,7,3,4,5,8]=>7 [1,6,7,2,3,4,5,8]=>8 [1,6,2,3,4,7,5,8]=>5 [1,2,3,6,4,7,5,8]=>3 [6,1,8,2,3,4,5,7]=>10 [1,6,2,8,3,4,5,7]=>8 [1,6,8,2,3,4,5,7]=>9 [1,6,2,3,4,8,5,7]=>6 [1,2,3,6,4,8,5,7]=>4 [6,1,2,3,4,5,8,7]=>6 [1,6,2,3,4,5,7,8]=>4 [1,2,3,6,4,5,7,8]=>2 [1,7,2,8,3,4,5,6]=>9 [1,7,8,2,3,4,5,6]=>10 [1,7,2,3,8,4,5,6]=>8 [7,1,2,3,4,8,5,6]=>8 [1,7,2,3,4,8,5,6]=>7 [1,2,3,7,4,8,5,6]=>5 [7,1,2,3,4,5,8,6]=>7 [1,7,2,3,4,5,8,6]=>6 [1,2,7,3,4,5,8,6]=>5 [1,7,2,3,4,5,6,8]=>5 [1,2,3,7,4,5,6,8]=>3 [1,8,2,3,4,5,6,7]=>6 [1,2,3,8,4,5,6,7]=>4 [1,2,3,4,5,8,6,7]=>2 [5,3,2,6,1,4,8,7]=>10 [7,3,2,5,4,8,1,6]=>14 [8,4,5,2,3,7,6,1]=>18 [7,4,5,2,3,8,1,6]=>16 [6,4,5,2,3,1,8,7]=>14 [5,4,6,2,1,3,8,7]=>12 [3,6,1,5,4,2,8,7]=>10 [4,6,5,1,3,2,8,7]=>12 [5,6,4,3,1,2,8,7]=>14 [7,5,4,3,2,8,1,6]=>18 [8,6,4,3,7,2,5,1]=>22 [7,6,4,3,8,2,1,5]=>20 [6,7,4,3,8,1,2,5]=>18 [5,7,4,3,1,8,2,6]=>16 [4,7,5,1,3,8,2,6]=>14 [3,7,1,5,4,8,2,6]=>12 [2,1,7,5,4,8,3,6]=>10 [3,8,1,5,4,7,6,2]=>14 [4,8,5,1,3,7,6,2]=>16 [5,8,4,3,1,7,6,2]=>18 [6,8,4,3,7,1,5,2]=>20 [7,8,4,3,6,5,1,2]=>22 [6,8,5,7,3,1,4,2]=>22 [5,8,6,7,1,3,4,2]=>20 [4,8,6,1,7,3,5,2]=>18 [3,8,1,6,7,4,5,2]=>16 [2,1,8,6,7,4,5,3]=>14 [2,1,7,6,8,4,3,5]=>12 [3,7,1,6,8,4,2,5]=>14 [4,7,6,1,8,3,2,5]=>16 [5,7,6,8,1,3,2,4]=>18 [5,4,7,2,1,8,3,6]=>14 [6,4,7,2,8,1,3,5]=>16 [7,4,6,2,8,3,1,5]=>18 [8,4,6,2,7,3,5,1]=>20 [8,3,2,6,7,4,5,1]=>18 [7,3,2,6,8,4,1,5]=>16 [6,3,2,7,8,1,4,5]=>14 [5,3,2,7,1,8,4,6]=>12 [4,3,2,1,7,8,5,6]=>10 [3,4,1,2,8,7,6,5]=>10 [5,3,2,8,1,7,6,4]=>14 [6,3,2,8,7,1,5,4]=>16 [7,3,2,8,6,5,1,4]=>18 [8,4,7,2,6,5,3,1]=>22 [7,4,8,2,6,5,1,3]=>20 [6,4,8,2,7,1,5,3]=>18 [5,4,8,2,1,7,6,3]=>16 [4,5,8,1,2,7,6,3]=>14 [3,5,1,8,2,7,6,4]=>12 [2,1,5,8,3,7,6,4]=>10 [2,1,6,8,7,3,5,4]=>12 [3,6,1,8,7,2,5,4]=>14 [4,6,8,1,7,2,5,3]=>16 [5,6,8,7,1,2,4,3]=>18 [6,5,8,7,2,1,4,3]=>20 [7,5,8,6,2,4,1,3]=>22 [8,5,7,6,2,4,3,1]=>24 [5,7,8,6,1,4,2,3]=>20 [4,7,8,1,6,5,2,3]=>18 [3,7,1,8,6,5,2,4]=>16 [2,1,7,8,6,5,3,4]=>14 [3,8,1,7,6,5,4,2]=>18 [4,8,7,1,6,5,3,2]=>20 [5,8,7,6,1,4,3,2]=>22 [6,8,7,5,4,1,3,2]=>24 [4,2,5,1,3,6,7,8]=>6 [5,2,6,7,1,3,4,8]=>11 [3,2,7,8,1,4,5,6]=>11 [5,3,2,6,1,4,7,8]=>9 [7,4,3,8,1,2,5,6]=>15 [4,7,3,6,8,1,2,5]=>16 [6,7,3,4,8,1,2,5]=>17 [5,4,2,7,8,1,3,6]=>14 [6,4,7,2,5,1,3,8]=>15 [6,4,3,2,7,1,5,8]=>13 [5,4,3,2,8,1,6,7]=>13 [7,5,3,8,2,6,1,4]=>19 [8,5,4,7,2,6,1,3]=>21 [8,5,4,7,3,6,1,2]=>22 [8,1,2,7,6,3,4,5]=>14 [8,1,4,2,6,3,5,7]=>11 [8,3,1,2,4,7,5,6]=>11 [8,3,1,5,6,2,4,7]=>13 [6,3,8,1,2,7,4,5]=>14 [7,8,4,1,6,2,3,5]=>18 [8,3,4,1,6,7,2,5]=>15 [2,7,6,5,1,3,8,4]=>14 [8,3,6,5,1,7,2,4]=>18 [7,8,5,6,2,1,4,3]=>22 [7,8,1,4,5,2,3,6]=>16 [6,1,8,4,5,2,3,7]=>14 [1,6,7,4,5,2,3,8]=>12 [1,6,7,3,2,5,4,8]=>10 [6,1,8,3,2,5,4,7]=>12 [7,8,1,3,2,5,4,6]=>14 [7,8,3,1,2,6,4,5]=>16 [7,8,3,2,1,6,5,4]=>18 [7,8,4,2,6,1,5,3]=>20 [7,8,2,4,5,1,6,3]=>18 [7,8,2,3,1,5,6,4]=>16 [7,8,2,1,3,4,6,5]=>14 [5,2,1,8,3,4,7,6]=>10 [6,2,8,1,3,4,7,5]=>12 [6,2,8,3,1,5,7,4]=>14 [6,2,8,4,5,1,7,3]=>16 [6,3,8,4,5,7,1,2]=>18 [3,6,7,4,5,8,1,2]=>16 [2,6,7,4,5,1,8,3]=>14 [2,6,7,3,1,5,8,4]=>12 [2,5,3,7,1,6,8,4]=>10 [2,5,4,7,6,1,8,3]=>12 [3,5,4,7,6,8,1,2]=>14 [5,3,4,8,6,7,1,2]=>16 [5,2,4,8,6,1,7,3]=>14 [5,2,3,8,1,6,7,4]=>12 [4,2,1,3,8,5,7,6]=>8 [4,1,3,2,8,6,5,7]=>8 [4,3,1,2,8,7,5,6]=>10 [5,4,2,8,7,1,6,3]=>16 [5,4,3,8,7,6,1,2]=>18 [6,4,8,3,7,5,1,2]=>20 [6,3,8,2,1,7,5,4]=>16 [5,3,1,8,2,7,4,6]=>12 [5,1,3,8,2,6,4,7]=>10 [1,5,3,7,2,6,4,8]=>8 [1,5,4,7,6,2,3,8]=>10 [5,1,4,8,6,2,3,7]=>12 [5,4,1,8,7,2,3,6]=>14 [6,4,8,1,7,2,3,5]=>16 [6,5,8,7,1,2,3,4]=>18 [6,5,8,7,3,4,1,2]=>22 [5,6,7,8,2,1,4,3]=>18 [3,6,7,2,1,8,5,4]=>14 [4,6,7,2,8,1,5,3]=>16 [4,6,7,3,8,5,1,2]=>18 [4,5,3,7,8,6,1,2]=>16 [4,5,2,7,8,1,6,3]=>14 [3,5,2,7,1,8,6,4]=>12 [3,2,5,6,1,8,7,4]=>10 [4,2,5,6,8,1,7,3]=>12 [4,3,5,6,8,7,1,2]=>14 [4,1,2,6,5,8,7,3]=>9 [3,2,6,1,4,8,7,5]=>9 [3,2,5,4,8,1,6,7]=>9 [4,5,2,3,7,6,1,8]=>11 [4,5,2,3,8,1,6,7]=>11 [4,5,2,3,1,8,7,6]=>11 [4,6,2,1,3,8,7,5]=>11 [5,6,1,2,3,8,7,4]=>11 [5,1,6,2,4,8,7,3]=>11 [1,5,6,3,4,8,7,2]=>11 [6,1,5,4,2,8,7,3]=>13 [6,5,1,3,2,8,7,4]=>13 [6,4,3,1,2,8,7,5]=>13 [6,4,3,7,2,5,1,8]=>15 [6,4,3,8,2,1,5,7]=>15 [7,4,3,1,8,2,6,5]=>15 [7,5,1,3,8,2,6,4]=>15 [7,1,5,4,8,2,6,3]=>15 [1,7,5,4,8,3,6,2]=>15 [8,1,5,4,7,6,2,3]=>17 [8,5,1,3,7,6,2,4]=>17 [8,4,3,1,7,6,2,5]=>17 [8,4,3,7,1,5,2,6]=>17 [8,4,3,6,5,1,2,7]=>17 [8,5,7,3,1,4,2,6]=>19 [8,6,7,1,3,4,2,5]=>19 [8,6,1,7,3,5,2,4]=>19 [8,1,6,7,4,5,2,3]=>19 [1,8,6,7,4,5,3,2]=>19 [1,7,6,8,4,3,5,2]=>17 [7,1,6,8,4,2,5,3]=>17 [7,6,1,8,3,2,5,4]=>17 [7,6,8,1,3,2,4,5]=>17 [7,5,8,3,1,2,4,6]=>17 [6,5,8,3,2,1,4,7]=>17 [5,6,8,2,3,1,4,7]=>15 [5,7,8,2,1,3,4,6]=>15 [6,7,1,8,2,3,5,4]=>15 [6,1,7,8,2,4,5,3]=>15 [1,6,7,8,3,4,5,2]=>15 [1,5,7,3,8,4,6,2]=>13 [5,1,7,2,8,4,6,3]=>13 [5,7,1,2,8,3,6,4]=>13 [4,7,2,1,8,3,6,5]=>13 [4,7,2,8,1,3,5,6]=>13 [4,6,2,8,3,1,5,7]=>13 [4,6,2,7,3,5,1,8]=>13 [3,2,6,7,4,5,1,8]=>11 [3,2,6,8,4,1,5,7]=>11 [3,2,7,1,8,4,6,5]=>11 [3,2,1,7,8,5,6,4]=>11 [4,1,2,7,8,5,6,3]=>11 [1,4,3,7,8,5,6,2]=>11 [4,1,2,8,7,6,5,3]=>13 [3,2,8,1,7,6,4,5]=>13 [3,2,8,7,1,5,4,6]=>13 [3,2,8,6,5,1,4,7]=>13 [4,7,2,6,5,3,1,8]=>15 [4,8,2,6,5,1,3,7]=>15 [4,8,2,7,1,5,3,6]=>15 [4,8,2,1,7,6,3,5]=>15 [5,8,1,2,7,6,3,4]=>15 [5,1,8,2,7,6,4,3]=>15 [1,5,8,3,7,6,4,2]=>15 [1,6,8,7,3,5,4,2]=>17 [6,1,8,7,2,5,4,3]=>17 [6,8,1,7,2,5,3,4]=>17 [6,8,7,1,2,4,3,5]=>17 [5,8,7,2,1,4,3,6]=>17 [5,8,6,2,4,1,3,7]=>17 [5,7,6,2,4,3,1,8]=>17 [6,8,5,4,2,1,3,7]=>19 [7,8,6,1,4,2,3,5]=>19 [7,8,1,6,5,2,3,4]=>19 [7,1,8,6,5,2,4,3]=>19 [1,7,8,6,5,3,4,2]=>19 [8,1,7,6,5,4,2,3]=>21 [8,7,1,6,5,3,2,4]=>21 [8,7,6,1,4,3,2,5]=>21 [8,7,5,4,1,3,2,6]=>21 [3,6,4,5,7,2,8,1]=>14 [2,6,5,7,3,4,8,1]=>14 [7,5,3,6,4,2,8,1]=>19 [1,6,4,7,5,8,2,3]=>13 [8,5,3,6,2,7,4,1]=>20 [8,2,6,3,4,7,5,1]=>17 [1,3,7,4,6,8,2,5]=>10 [7,2,6,3,5,4,8,1]=>16 [6,2,7,4,3,5,8,1]=>15 [5,2,4,7,3,6,8,1]=>13 [4,7,5,6,3,2,8,1]=>18 [3,7,6,4,5,2,8,1]=>17 [2,7,6,5,3,4,8,1]=>16 [1,7,6,5,4,8,2,3]=>16 [8,6,5,4,2,7,3,1]=>23 [8,1,6,5,7,2,4,3]=>18 [7,1,6,5,8,3,2,4]=>17 [1,2,7,6,8,3,4,5]=>10 [6,1,7,5,3,8,2,4]=>15 [2,1,7,5,6,8,3,4]=>11 [3,1,6,7,5,8,2,4]=>12 [5,4,1,7,6,8,2,3]=>14 [6,5,8,4,2,7,3,1]=>21 [4,8,5,6,2,7,3,1]=>19 [3,8,6,4,2,7,5,1]=>18 [7,8,5,2,4,6,3,1]=>22 [2,8,6,3,7,4,5,1]=>17 [1,8,6,3,7,5,2,4]=>16 [8,7,5,2,6,4,3,1]=>24 [8,7,1,6,2,5,4,3]=>20 [1,8,2,7,3,6,4,5]=>12 [7,8,1,6,2,4,5,3]=>18 [2,8,1,7,4,3,6,5]=>13 [6,8,1,4,7,2,5,3]=>17 [3,8,4,1,7,2,6,5]=>14 [5,4,8,1,7,2,6,3]=>16 [5,4,7,1,8,3,2,6]=>15 [3,7,4,1,8,5,2,6]=>13 [6,7,1,4,8,3,2,5]=>16 [2,7,1,8,4,5,3,6]=>12 [1,7,2,8,5,3,4,6]=>11 [7,6,1,8,4,3,2,5]=>18 [8,6,1,7,4,2,5,3]=>19 [8,1,2,7,3,4,6,5]=>12 [7,1,2,8,3,5,4,6]=>11 [6,1,2,8,4,3,5,7]=>10 [5,1,2,4,8,3,6,7]=>8 [4,1,3,2,8,5,6,7]=>7 [3,2,1,4,8,5,6,7]=>6 [4,3,6,1,5,8,2,7]=>11 [5,6,2,1,4,8,3,7]=>12 [2,6,1,4,5,8,3,7]=>9 [6,5,1,4,3,8,2,7]=>14 [1,6,2,5,8,3,4,7]=>9 [7,5,1,3,8,4,2,6]=>15 [8,5,1,3,7,2,6,4]=>16 [8,4,2,1,7,3,6,5]=>15 [7,4,2,1,8,5,3,6]=>14 [1,5,4,2,8,3,6,7]=>8 [6,4,3,1,5,8,2,7]=>13 [5,4,3,2,1,8,6,7]=>12 [2,5,3,4,1,8,6,7]=>8 [4,3,5,2,1,8,6,7]=>10 [4,7,5,6,8,3,2,1]=>20 [3,7,6,8,4,5,2,1]=>20 [2,7,6,8,5,3,4,1]=>19 [1,7,6,8,5,4,2,3]=>18 [8,6,4,7,5,3,2,1]=>25 [1,4,8,6,7,5,2,3]=>15 [2,4,8,6,7,3,5,1]=>16 [7,3,8,5,4,6,2,1]=>21 [3,4,8,5,6,7,2,1]=>16 [6,3,5,8,4,7,2,1]=>19 [5,4,3,8,6,7,2,1]=>18 [5,4,2,8,7,3,6,1]=>17 [6,2,5,8,7,3,4,1]=>18 [3,2,8,5,7,4,6,1]=>15 [2,3,8,7,4,5,6,1]=>14 [7,2,8,6,4,3,5,1]=>20 [1,3,8,7,5,6,2,4]=>14 [8,2,7,6,3,5,4,1]=>21 [8,1,7,6,5,2,4,3]=>20 [7,1,8,6,5,3,2,4]=>19 [1,2,8,7,6,3,4,5]=>12 [2,1,8,7,4,6,3,5]=>13 [3,1,8,5,7,6,2,4]=>14 [6,1,5,8,7,4,2,3]=>17 [5,4,1,8,7,6,2,3]=>16 [5,8,6,7,4,3,2,1]=>24 [4,8,7,5,6,3,2,1]=>23 [3,8,7,6,4,5,2,1]=>22 [2,8,7,6,5,3,4,1]=>21 [1,8,7,6,5,4,2,3]=>20 [8,6,1,3,4,2,5,7]=>14 [8,3,5,2,1,6,4,7]=>14 [8,6,3,5,2,4,1,7]=>19 [3,7,5,2,4,1,8,6]=>13 [8,3,7,5,2,4,6,1]=>20 [8,2,4,5,7,3,6,1]=>17 [2,4,5,7,3,1,8,6]=>10 [8,2,4,6,5,3,1,7]=>16 [8,2,5,4,6,1,3,7]=>15 [8,1,2,4,5,6,3,7]=>10 [8,2,5,1,3,6,4,7]=>12 [8,6,3,5,1,4,2,7]=>18 [8,6,1,4,5,3,2,7]=>17 [8,1,5,6,4,3,2,7]=>16 [5,7,4,3,2,1,8,6]=>16 [8,5,7,4,3,2,6,1]=>23 [4,6,8,3,2,7,5,1]=>18 [4,7,6,3,2,8,1,5]=>17 [1,4,6,7,3,2,8,5]=>10 [5,4,7,3,1,8,2,6]=>15 [1,7,4,5,3,2,8,6]=>11 [3,7,5,1,4,2,8,6]=>12 [5,7,4,2,1,3,8,6]=>14 [8,5,7,4,2,1,6,3]=>21 [8,3,7,5,1,4,6,2]=>19 [8,4,1,7,5,3,6,2]=>18 [4,6,3,8,7,1,5,2]=>17 [1,7,4,8,6,3,5,2]=>16 [8,4,7,6,3,5,2,1]=>24 [3,6,5,8,7,4,1,2]=>18 [3,1,5,8,6,7,4,2]=>13 [4,8,1,6,7,3,5,2]=>17 [3,6,4,1,8,7,5,2]=>14 [8,2,6,1,4,7,5,3]=>16 [2,7,6,8,1,4,3,5]=>15 [3,7,1,6,4,8,2,5]=>13 [1,7,3,5,6,8,2,4]=>12 [1,3,6,7,5,8,2,4]=>11 [3,7,6,5,8,2,1,4]=>18 [3,6,8,5,7,2,4,1]=>19 [2,3,5,7,6,8,1,4]=>11 [2,1,6,5,7,8,3,4]=>10 [5,2,7,1,3,8,4,6]=>11 [5,3,1,7,8,2,4,6]=>12 [4,2,7,6,8,3,1,5]=>15 [4,2,6,8,7,3,5,1]=>16 [3,8,2,4,6,7,5,1]=>15 [3,7,2,6,4,8,1,5]=>14 [3,2,6,1,4,7,8,5]=>8 [5,3,7,2,1,8,4,6]=>13 [4,7,3,2,1,5,8,6]=>12 [1,7,3,4,2,5,8,6]=>8 [4,7,2,1,3,5,8,6]=>10 [8,7,6,1,3,4,2,5]=>20 [8,5,7,3,2,1,6,4]=>20 [8,3,6,7,2,1,5,4]=>19 [3,7,8,6,2,1,5,4]=>18 [8,7,6,3,5,2,4,1]=>25 [2,7,4,8,1,6,5,3]=>15 [4,6,8,2,1,7,5,3]=>16 [8,4,1,5,7,2,6,3]=>16 [8,5,3,7,1,6,2,4]=>19 [8,5,7,2,1,3,6,4]=>18 [8,2,6,7,1,3,5,4]=>17 [8,3,6,1,7,5,2,4]=>18 [4,6,1,8,7,2,5,3]=>15 [8,1,2,5,6,7,4,3]=>14 [8,2,6,5,7,4,1,3]=>20 [2,1,7,8,5,6,4,3]=>14 [8,2,5,7,6,4,3,1]=>21 [2,7,6,8,5,4,1,3]=>19 [1,7,2,5,8,6,4,3]=>13 [1,7,4,8,2,6,5,3]=>14 [3,7,8,1,6,5,2,4]=>17 [2,7,8,6,1,3,5,4]=>16 [8,7,6,3,5,1,4,2]=>24 [8,4,7,6,5,1,3,2]=>23 [8,7,1,5,6,4,3,2]=>22 [8,1,6,7,5,4,3,2]=>21 [1,6,2,5,3,4,7,8]=>6 [1,8,2,3,4,7,5,6]=>8 [5,3,6,8,4,7,2,1]=>18 [3,7,2,5,4,8,6,1]=>14 [8,4,2,5,7,3,6,1]=>18 [4,7,2,5,8,3,6,1]=>16 [4,2,6,5,8,3,7,1]=>14 [5,2,6,8,4,3,7,1]=>16 [3,1,6,5,4,8,2,7]=>10 [4,1,6,5,8,3,2,7]=>12 [5,1,6,8,4,3,2,7]=>14 [8,5,4,7,6,3,2,1]=>24 [6,7,8,1,4,3,2,5]=>18 [5,7,1,8,4,3,2,6]=>16 [4,7,1,5,8,3,2,6]=>14 [2,7,1,5,4,3,8,6]=>10 [8,2,1,5,4,3,7,6]=>12 [8,3,1,5,4,7,2,6]=>14 [8,4,1,5,7,3,2,6]=>16 [8,5,6,7,1,3,2,4]=>20 [8,4,6,1,7,3,2,5]=>18 [8,3,6,1,4,7,2,5]=>16 [8,2,6,1,4,3,7,5]=>14 [2,7,6,1,4,3,8,5]=>12 [3,7,6,1,4,8,2,5]=>14 [6,7,8,5,1,3,2,4]=>20 [5,7,6,8,2,3,4,1]=>20 [5,7,2,8,4,3,6,1]=>18 [6,7,8,2,4,3,5,1]=>20 [4,7,6,2,8,3,5,1]=>18 [8,3,6,2,4,7,5,1]=>18 [3,7,6,2,4,8,5,1]=>16 [5,7,3,8,4,6,2,1]=>20 [4,7,3,5,8,6,2,1]=>18 [8,7,2,1,4,3,6,5]=>16 [8,7,3,1,4,6,2,5]=>18 [8,7,6,3,2,5,4,1]=>24 [8,7,3,5,1,6,2,4]=>20 [8,7,2,5,1,3,6,4]=>18 [8,2,6,5,1,3,7,4]=>16 [8,4,6,5,7,1,2,3]=>20 [5,7,6,8,4,1,2,3]=>20 [4,7,6,5,8,1,2,3]=>18 [3,7,6,5,1,8,2,4]=>16 [8,7,6,5,2,1,4,3]=>24 [3,2,5,1,6,4,8,7]=>7 [3,2,5,4,7,1,8,6]=>9 [4,2,5,3,7,6,8,1]=>11 [4,2,5,3,7,1,8,6]=>10 [4,2,5,3,6,1,8,7]=>9 [4,2,5,1,6,3,8,7]=>8 [3,1,5,4,6,2,8,7]=>7 [4,1,5,3,6,2,8,7]=>8 [4,3,5,1,6,2,8,7]=>9 [4,3,5,2,7,1,8,6]=>11 [4,3,6,2,7,5,8,1]=>13 [4,3,6,2,7,1,8,5]=>12 [4,3,6,1,7,2,8,5]=>11 [4,3,5,1,7,2,8,6]=>10 [4,1,5,3,7,2,8,6]=>9 [3,1,5,4,7,2,8,6]=>8 [2,1,5,4,7,3,8,6]=>7 [3,1,5,4,7,6,8,2]=>9 [4,1,5,3,7,6,8,2]=>10 [4,3,5,1,7,6,8,2]=>11 [4,3,6,1,7,5,8,2]=>12 [4,3,6,5,7,1,8,2]=>13 [5,3,6,4,7,2,8,1]=>15 [5,3,6,4,7,1,8,2]=>14 [5,3,6,1,7,4,8,2]=>13 [5,1,6,3,7,4,8,2]=>12 [4,1,6,3,7,5,8,2]=>11 [3,1,6,4,7,5,8,2]=>10 [2,1,6,4,7,5,8,3]=>9 [2,1,6,4,7,3,8,5]=>8 [3,1,6,4,7,2,8,5]=>9 [4,1,6,3,7,2,8,5]=>10 [5,1,6,3,7,2,8,4]=>11 [5,3,6,1,7,2,8,4]=>12 [5,3,6,2,7,1,8,4]=>13 [5,3,6,2,7,4,8,1]=>14 [5,2,6,3,7,4,8,1]=>13 [5,2,6,3,7,1,8,4]=>12 [5,2,6,1,7,3,8,4]=>11 [4,2,5,1,7,3,8,6]=>9 [4,2,6,1,7,3,8,5]=>10 [4,2,6,3,7,1,8,5]=>11 [4,2,6,3,7,5,8,1]=>12 [3,2,6,4,7,5,8,1]=>11 [3,2,6,4,7,1,8,5]=>10 [3,2,6,1,7,4,8,5]=>9 [3,2,5,1,7,4,8,6]=>8 [3,2,4,1,7,5,8,6]=>7 [3,1,4,2,7,6,8,5]=>7 [3,2,5,1,7,6,8,4]=>9 [3,2,6,1,7,5,8,4]=>10 [3,2,6,5,7,1,8,4]=>11 [4,2,6,5,7,3,8,1]=>13 [4,2,6,5,7,1,8,3]=>12 [4,2,6,1,7,5,8,3]=>11 [4,2,5,1,7,6,8,3]=>10 [4,1,5,2,7,6,8,3]=>9 [3,1,5,2,7,6,8,4]=>8 [2,1,5,3,7,6,8,4]=>7 [2,1,6,3,7,5,8,4]=>8 [3,1,6,2,7,5,8,4]=>9 [4,1,6,2,7,5,8,3]=>10 [5,1,6,2,7,4,8,3]=>11 [5,2,6,1,7,4,8,3]=>12 [5,2,6,4,7,1,8,3]=>13 [5,2,6,4,7,3,8,1]=>14 [5,4,6,2,7,3,8,1]=>15 [5,4,6,2,7,1,8,3]=>14 [5,4,6,1,7,2,8,3]=>13 [5,1,6,4,7,2,8,3]=>12 [4,1,6,5,7,2,8,3]=>11 [3,1,6,5,7,2,8,4]=>10 [2,1,6,5,7,3,8,4]=>9 [3,1,6,5,7,4,8,2]=>11 [4,1,6,5,7,3,8,2]=>12 [5,1,6,4,7,3,8,2]=>13 [5,4,6,1,7,3,8,2]=>14 [5,4,6,3,7,1,8,2]=>15 [4,5,2,6,3,1,8,7]=>11 [6,5,2,1,4,3,8,7]=>12 [6,5,2,7,4,8,3,1]=>18 [8,5,2,7,4,1,6,3]=>19 [8,3,7,5,2,1,6,4]=>19 [6,3,7,5,2,8,4,1]=>18 [6,3,1,5,2,4,8,7]=>10 [3,1,6,5,4,2,8,7]=>9 [5,4,3,6,1,2,8,7]=>12 [5,6,3,2,4,1,8,7]=>13 [3,6,2,4,1,5,8,7]=>9 [2,6,1,3,5,4,8,7]=>7 [6,7,2,3,4,8,5,1]=>16 [8,7,2,3,4,1,6,5]=>17 [5,1,7,3,8,4,6,2]=>14 [2,5,7,3,8,6,4,1]=>15 [7,6,1,3,5,8,4,2]=>17 [3,6,7,4,1,8,5,2]=>15 [5,6,3,7,4,8,1,2]=>17 [2,1,6,7,4,8,5,3]=>11 [2,1,8,7,4,3,6,5]=>12 [5,8,3,7,4,2,6,1]=>20 [3,8,7,4,1,2,6,5]=>16 [7,8,1,3,5,2,6,4]=>16 [5,8,7,3,2,6,1,4]=>20 [2,8,6,3,1,5,7,4]=>14 [8,1,6,3,2,5,4,7]=>13 [2,8,4,1,6,3,7,5]=>12 [4,8,1,2,7,6,3,5]=>14 [3,8,4,2,5,7,1,6]=>14 [6,8,3,5,2,7,4,1]=>20 [2,1,8,5,3,7,4,6]=>10 [2,1,5,3,8,7,6,4]=>9 [6,5,3,2,8,7,1,4]=>17 [7,5,2,4,8,1,6,3]=>17 [3,4,2,8,5,7,6,1]=>13 [2,4,1,8,7,6,5,3]=>13 [4,1,2,8,7,5,6,3]=>12 [8,4,2,1,7,5,3,6]=>15 [4,3,1,8,6,7,5,2]=>14 [3,1,4,8,6,5,7,2]=>11 [7,3,5,4,8,6,1,2]=>18 [6,4,3,5,8,1,7,2]=>16 [2,1,7,6,5,8,3,4]=>12 [5,7,3,6,1,8,2,4]=>16 [2,7,6,4,5,8,1,3]=>16 [7,1,6,5,4,8,2,3]=>17 [3,7,5,6,8,4,2,1]=>19 [5,7,1,6,8,2,4,3]=>16 [8,6,2,5,1,7,4,3]=>19 [5,6,2,1,8,7,3,4]=>14 [4,6,2,5,8,3,7,1]=>15 [7,5,2,6,3,8,1,4]=>17 [4,1,2,3,6,8,7,5]=>7 [2,4,3,1,8,5,6,7]=>7 [7,5,2,8,3,4,6,1]=>18 [5,6,2,8,4,3,1,7]=>16 [4,7,2,8,1,5,3,6]=>14 [8,7,2,1,4,5,6,3]=>17 [3,6,8,7,1,5,4,2]=>18 [5,7,8,6,3,4,1,2]=>22 [7,1,8,5,4,3,6,2]=>18 [2,7,8,4,5,3,6,1]=>17 [5,7,3,8,1,4,6,2]=>17 [2,1,7,8,5,4,6,3]=>13 [2,1,5,8,4,6,3,7]=>9 [6,5,3,8,4,1,2,7]=>17 [7,5,8,4,3,6,2,1]=>23 [2,4,8,3,5,6,1,7]=>11 [4,1,8,3,6,5,2,7]=>12 [3,4,8,1,7,2,5,6]=>12 [8,4,1,3,7,2,6,5]=>15 [3,1,8,2,4,7,6,5]=>10 [2,3,8,1,4,6,7,5]=>9 [4,3,8,2,5,1,7,6]=>13 [6,3,8,4,2,5,7,1]=>17 [7,4,3,8,2,5,1,6]=>17 [2,1,4,8,3,5,7,6]=>7 [6,8,2,4,3,5,1,7]=>16 [4,8,2,3,5,1,6,7]=>12 [3,8,2,1,4,6,5,7]=>10 [2,8,1,3,4,5,7,6]=>8 [3,2,1,5,8,4,6,7]=>7 [2,8,3,1,5,4,6,7]=>9 [2,5,3,4,7,1,8,6]=>9 [2,4,8,3,5,7,6,1]=>13 [4,2,5,3,1,8,6,7]=>9 [4,2,1,8,5,3,6,7]=>9 [1,8,4,2,5,3,6,7]=>9 [8,1,5,3,2,4,6,7]=>11 [3,8,1,5,2,4,6,7]=>10 [5,4,1,3,8,2,6,7]=>11 [5,1,4,8,3,2,6,7]=>11 [1,5,8,4,3,2,6,7]=>11 [1,8,5,4,3,2,6,7]=>12 [5,4,3,2,7,1,8,6]=>13 [4,3,6,2,8,7,5,1]=>15 [4,3,7,6,2,1,8,5]=>14 [6,4,3,1,7,2,8,5]=>13 [1,7,4,3,8,5,2,6]=>12 [1,5,7,3,8,4,2,6]=>12 [5,1,4,7,8,3,2,6]=>13 [5,4,7,1,3,8,2,6]=>14 [4,8,5,7,1,6,2,3]=>18 [4,8,1,5,7,3,6,2]=>16 [8,1,5,3,7,4,6,2]=>16 [1,4,3,8,7,5,6,2]=>12 [4,3,7,1,8,6,5,2]=>15 [3,8,4,7,6,5,2,1]=>20 [5,3,8,7,6,4,2,1]=>21 [7,5,3,1,8,6,4,2]=>18 [1,8,6,5,3,7,4,2]=>17 [1,6,8,5,3,7,4,2]=>16 [6,8,1,7,4,3,5,2]=>19 [6,4,8,1,7,3,5,2]=>18 [6,4,8,7,1,5,2,3]=>19 [7,6,4,1,3,8,2,5]=>17 [7,6,1,4,8,3,2,5]=>17 [7,1,6,8,4,3,2,5]=>17 [1,7,5,6,3,2,8,4]=>13 [6,1,7,5,3,2,8,4]=>14 [7,6,5,3,2,1,8,4]=>19 [6,5,3,2,8,7,4,1]=>18 [5,2,6,3,8,7,4,1]=>15 [5,2,7,6,3,1,8,4]=>14 [6,5,2,1,7,3,8,4]=>13 [1,6,7,2,8,4,3,5]=>12 [6,7,1,4,2,8,3,5]=>14 [6,3,7,1,4,8,2,5]=>14 [3,7,8,1,5,2,4,6]=>14 [7,1,2,8,5,3,4,6]=>12 [1,7,2,8,4,5,3,6]=>11 [4,2,1,7,8,5,3,6]=>11 [2,7,4,6,3,1,8,5]=>13 [2,6,8,4,3,7,5,1]=>16 [6,2,4,8,3,7,5,1]=>16 [7,2,6,3,4,1,8,5]=>14 [2,6,7,3,1,4,8,5]=>11 [2,7,1,8,3,5,4,6]=>11 [2,1,7,3,5,8,4,6]=>8 [1,2,7,5,8,3,4,6]=>9 [7,1,3,5,8,2,4,6]=>12 [8,7,1,3,6,2,4,5]=>17 [8,2,1,7,3,5,6,4]=>14 [8,2,6,1,7,3,5,4]=>16 [7,8,2,6,3,1,5,4]=>19 [8,7,2,6,3,5,4,1]=>22 [2,7,8,4,1,6,5,3]=>16 [2,8,4,1,6,7,5,3]=>14 [2,1,8,4,7,5,6,3]=>12 [1,2,8,7,4,5,6,3]=>12 [2,8,1,7,5,6,3,4]=>15 [8,3,7,1,5,6,2,4]=>18 [3,8,6,7,1,5,2,4]=>18 [8,6,1,2,7,5,3,4]=>17 [8,1,6,2,7,4,5,3]=>16 [1,8,5,2,6,7,4,3]=>14 [5,2,1,8,6,7,4,3]=>14 [5,2,7,1,8,6,4,3]=>15 [2,8,5,7,6,4,3,1]=>20 [6,2,8,7,5,4,3,1]=>21 [7,6,2,1,8,5,4,3]=>18 [6,1,7,2,8,5,4,3]=>15 [1,7,8,5,2,6,4,3]=>16 [7,8,1,6,4,2,5,3]=>19 [7,8,6,1,5,3,2,4]=>21 [7,3,8,6,1,5,2,4]=>19 [8,7,6,5,1,4,2,3]=>24 [8,7,6,1,5,3,4,2]=>23 [8,7,1,6,4,5,3,2]=>22 [8,1,7,5,6,4,3,2]=>21 [1,8,6,7,5,4,3,2]=>20 [7,1,8,6,5,4,3,2]=>21 [1,8,2,4,3,5,6,7]=>7 [1,7,2,4,3,5,6,8]=>6 [1,6,2,4,3,5,7,8]=>5 [1,5,2,4,3,6,7,8]=>4 [1,7,2,5,3,4,6,8]=>7 [1,8,2,5,3,4,6,7]=>8 [1,8,2,6,3,4,5,7]=>9 [1,7,2,6,3,4,5,8]=>8 [1,8,2,7,3,4,5,6]=>10 [1,8,2,7,3,5,4,6]=>11 [1,7,2,8,3,5,4,6]=>10 [1,6,2,8,3,5,4,7]=>9 [1,5,2,8,3,6,4,7]=>8 [1,4,2,8,3,6,5,7]=>7 [1,3,2,8,4,6,5,7]=>6 [1,2,3,8,4,6,5,7]=>5 [1,2,3,7,4,6,5,8]=>4 [1,3,2,7,4,6,5,8]=>5 [1,4,2,7,3,6,5,8]=>6 [1,5,2,7,3,6,4,8]=>7 [1,6,2,7,3,5,4,8]=>8 [1,7,2,6,3,5,4,8]=>9 [1,8,2,6,3,5,4,7]=>10 [1,8,2,5,3,6,4,7]=>9 [1,7,2,5,3,6,4,8]=>8 [1,6,2,5,3,7,4,8]=>7 [1,5,2,4,3,7,6,8]=>5 [1,6,2,4,3,7,5,8]=>6 [1,7,2,4,3,6,5,8]=>7 [1,8,2,4,3,6,5,7]=>8 [1,8,2,3,4,6,5,7]=>7 [1,7,2,3,4,6,5,8]=>6 [1,8,2,4,3,7,5,6]=>9 [1,7,2,4,3,8,5,6]=>8 [1,6,2,4,3,8,5,7]=>7 [1,5,2,4,3,8,6,7]=>6 [1,6,2,5,3,8,4,7]=>8 [1,7,2,5,3,8,4,6]=>9 [1,8,2,5,3,7,4,6]=>10 [1,8,2,6,3,7,4,5]=>11 [1,7,2,6,3,8,4,5]=>10 [1,2,3,8,4,7,5,6]=>6 [1,3,2,8,4,7,5,6]=>7 [1,4,2,8,3,7,5,6]=>8 [1,5,2,8,3,7,4,6]=>9 [1,6,2,8,3,7,4,5]=>10 [1,7,2,8,3,6,4,5]=>11 [9,1,2,3,4,5,6,7,8]=>8 [8,1,2,3,4,5,6,9,7]=>8 [2,9,1,3,4,5,6,7,8]=>8 [9,3,1,2,4,5,6,7,8]=>10 [8,9,1,2,3,4,5,6,7]=>14 [9,7,8,1,2,3,4,5,6]=>20 [2,3,4,5,6,7,9,1,8]=>8 [2,3,4,5,6,7,8,9,1]=>8 [8,7,6,5,4,3,2,1,9]=>28 [1,9,8,7,6,5,4,3,2]=>28 [7,8,6,5,4,3,2,1,9]=>27 [1,8,9,7,6,5,4,3,2]=>27 [7,6,8,5,4,3,2,1,9]=>26 [6,8,7,5,4,3,2,1,9]=>26 [1,8,7,9,6,5,4,3,2]=>26 [1,7,9,8,6,5,4,3,2]=>26 [1,2,3,4,5,6,7,8,9]=>0 [1,2,3,4,5,6,7,9,8]=>1 [3,2,4,5,6,7,8,9,1]=>9 [2,1,3,4,5,6,7,8,9]=>1 [1,8,2,3,4,5,6,9,7]=>7 [7,1,2,3,4,5,6,9,8]=>7 [2,1,9,3,4,5,6,7,8]=>7 [2,8,1,3,4,5,6,7,9]=>7 [9,8,1,2,3,4,5,6,7]=>15 [7,8,9,1,2,3,4,5,6]=>18 [9,8,7,1,2,3,4,5,6]=>21 [6,7,8,9,1,2,3,4,5]=>20 [9,6,7,8,1,2,3,4,5]=>23 [8,9,6,7,1,2,3,4,5]=>24 [9,8,6,7,1,2,3,4,5]=>25 [9,8,7,6,1,2,3,4,5]=>26 [9,5,6,7,8,1,2,3,4]=>24 [8,9,5,6,7,1,2,3,4]=>26 [9,8,5,6,7,1,2,3,4]=>27 [9,7,8,5,6,1,2,3,4]=>28 [9,8,7,5,6,1,2,3,4]=>29 [9,8,7,6,5,1,2,3,4]=>30 [7,8,9,4,5,6,1,2,3]=>27 [9,7,8,4,5,6,1,2,3]=>29 [9,8,7,4,5,6,1,2,3]=>30 [8,9,6,7,4,5,1,2,3]=>30 [9,8,6,7,4,5,1,2,3]=>31 [9,8,7,6,4,5,1,2,3]=>32 [9,8,7,6,5,4,1,2,3]=>33 [9,7,8,5,6,3,4,1,2]=>32 [9,8,7,5,6,3,4,1,2]=>33 [9,8,7,6,5,3,4,1,2]=>34 [9,8,7,6,5,4,3,1,2]=>35 [9,8,7,6,5,4,3,2,1]=>36 [2,3,4,5,6,7,8,1,9]=>7 [2,3,4,5,6,7,1,8,9]=>6 [8,7,6,4,5,3,2,1,9]=>27 [1,9,8,7,5,6,4,3,2]=>27 [8,7,5,4,6,3,2,1,9]=>26 [8,7,4,6,5,3,2,1,9]=>26 [1,9,8,6,5,7,4,3,2]=>26 [1,9,8,5,7,6,4,3,2]=>26 [9,2,1,3,4,5,6,7,8]=>9 [9,2,3,1,4,5,6,7,8]=>10 [4,2,3,5,6,7,8,9,1]=>10 [3,4,2,5,6,7,8,9,1]=>10 [8,1,2,3,4,5,6,7,9]=>7 [7,1,2,3,4,5,6,8,9]=>6 [1,9,2,3,4,5,6,7,8]=>7 [7,8,1,2,3,4,5,6,9]=>12 [1,8,9,2,3,4,5,6,7]=>12 [7,1,8,2,3,4,5,6,9]=>11 [6,8,1,2,3,4,5,7,9]=>11 [1,8,2,9,3,4,5,6,7]=>11 [1,7,9,2,3,4,5,6,8]=>11 [3,4,1,2,5,6,7,8,9]=>4 [3,2,1,4,5,6,7,8,9]=>3 [4,5,6,1,2,3,7,8,9]=>9 [4,2,5,1,3,6,7,8,9]=>6 [4,3,2,1,5,6,7,8,9]=>6 [5,6,7,8,1,2,3,4,9]=>16 [5,2,6,7,1,3,4,8,9]=>11 [5,6,3,4,1,2,7,8,9]=>12 [5,3,2,6,1,4,7,8,9]=>9 [5,4,3,2,1,6,7,8,9]=>10 [6,2,7,8,9,1,3,4,5]=>18 [6,7,3,4,8,1,2,5,9]=>17 [6,3,2,7,8,1,4,5,9]=>14 [6,4,7,2,5,1,3,8,9]=>15 [6,4,3,2,7,1,5,8,9]=>13 [6,5,4,3,2,1,7,8,9]=>15 [7,4,8,2,5,9,1,3,6]=>20 [7,4,3,2,8,9,1,5,6]=>18 [7,8,5,6,3,4,1,2,9]=>24 [7,5,3,8,2,6,1,4,9]=>19 [7,5,4,3,2,8,1,6,9]=>18 [7,6,5,4,3,2,1,8,9]=>21 [8,6,9,4,7,2,5,1,3]=>28 [8,6,4,3,9,2,7,1,5]=>24 [8,6,5,4,3,2,9,1,7]=>24 [2,1,4,3,6,5,8,7,10,9]=>5 [4,3,2,1,6,5,8,7,10,9]=>9 [6,3,2,5,4,1,8,7,10,9]=>13 [8,3,2,5,4,7,6,1,10,9]=>17 [10,3,2,5,4,7,6,9,8,1]=>21 [2,1,6,5,4,3,8,7,10,9]=>9 [6,5,4,3,2,1,8,7,10,9]=>17 [8,5,4,3,2,7,6,1,10,9]=>21 [10,5,4,3,2,7,6,9,8,1]=>25 [2,1,8,5,4,7,6,3,10,9]=>13 [8,7,4,3,6,5,2,1,10,9]=>25 [10,7,4,3,6,5,2,9,8,1]=>29 [2,1,10,5,4,7,6,9,8,3]=>17 [10,9,4,3,6,5,8,7,2,1]=>33 [8,9,5,6,3,4,10,1,2,7]=>29 [2,1,4,3,8,7,6,5,10,9]=>9 [4,3,2,1,8,7,6,5,10,9]=>13 [8,3,2,7,6,5,4,1,10,9]=>21 [10,3,2,7,6,5,4,9,8,1]=>25 [2,1,8,7,6,5,4,3,10,9]=>17 [8,7,6,5,4,3,2,1,10,9]=>29 [9,7,6,5,4,3,2,10,1,8]=>31 [10,7,6,5,4,3,2,9,8,1]=>33 [2,1,10,7,6,5,4,9,8,3]=>21 [10,9,6,5,4,3,8,7,2,1]=>37 [2,1,4,3,10,7,6,9,8,5]=>13 [4,3,2,1,10,7,6,9,8,5]=>17 [10,3,2,9,6,5,8,7,4,1]=>29 [2,1,10,9,6,5,8,7,4,3]=>25 [10,9,8,5,4,7,6,3,2,1]=>41 [6,7,8,9,10,1,2,3,4,5]=>25 [7,3,2,8,9,10,1,4,5,6]=>21 [8,5,4,3,2,9,10,1,6,7]=>23 [2,1,4,3,6,5,10,9,8,7]=>9 [4,3,2,1,6,5,10,9,8,7]=>13 [6,3,2,5,4,1,10,9,8,7]=>17 [10,3,2,5,4,9,8,7,6,1]=>25 [2,1,6,5,4,3,10,9,8,7]=>13 [6,5,4,3,2,1,10,9,8,7]=>21 [10,5,4,3,2,9,8,7,6,1]=>29 [2,1,10,5,4,9,8,7,6,3]=>21 [10,9,4,3,8,7,6,5,2,1]=>37 [9,7,5,10,3,8,2,6,1,4]=>33 [2,1,4,3,10,9,8,7,6,5]=>17 [4,3,2,1,10,9,8,7,6,5]=>21 [10,3,2,9,8,7,6,5,4,1]=>33 [2,1,10,9,8,7,6,5,4,3]=>29 [10,9,8,7,6,5,4,3,2,1]=>45 [10,8,9,5,6,7,1,2,3,4]=>35 [10,8,9,4,5,6,1,2,3,7]=>32 [10,7,8,5,6,9,1,2,3,4]=>33 [10,7,8,4,5,9,1,2,3,6]=>31 [10,6,7,4,5,8,1,2,3,9]=>28 [10,7,8,3,4,9,1,2,5,6]=>29 [10,6,7,3,4,8,1,2,5,9]=>26 [9,8,10,5,6,7,1,2,3,4]=>34 [9,8,10,4,5,6,1,2,3,7]=>31 [9,7,10,5,6,8,1,2,3,4]=>33 [9,7,10,4,5,8,1,2,3,6]=>31 [9,6,10,4,5,7,1,2,3,8]=>29 [9,7,10,3,4,8,1,2,5,6]=>29 [9,6,10,3,4,7,1,2,5,8]=>27 [8,7,9,5,6,10,1,2,3,4]=>31 [8,7,9,4,5,10,1,2,3,6]=>29 [8,6,9,4,5,10,1,2,3,7]=>28 [7,6,8,4,5,9,1,2,3,10]=>25 [8,7,9,3,4,10,1,2,5,6]=>27 [8,6,9,3,4,10,1,2,5,7]=>26 [7,6,8,3,4,9,1,2,5,10]=>23 [9,6,10,5,7,8,1,2,3,4]=>32 [9,6,10,4,7,8,1,2,3,5]=>31 [9,5,10,4,6,7,1,2,3,8]=>28 [9,6,10,3,7,8,1,2,4,5]=>30 [9,5,10,3,6,7,1,2,4,8]=>27 [8,6,9,5,7,10,1,2,3,4]=>30 [8,6,9,4,7,10,1,2,3,5]=>29 [8,5,9,4,6,10,1,2,3,7]=>27 [7,5,8,4,6,9,1,2,3,10]=>24 [8,6,9,3,7,10,1,2,4,5]=>28 [8,5,9,3,6,10,1,2,4,7]=>26 [7,5,8,3,6,9,1,2,4,10]=>23 [8,4,9,3,5,10,1,2,6,7]=>24 [7,4,8,3,5,9,1,2,6,10]=>21 [9,6,10,2,7,8,1,3,4,5]=>29 [9,5,10,2,6,7,1,3,4,8]=>26 [8,6,9,2,7,10,1,3,4,5]=>27 [8,5,9,2,6,10,1,3,4,7]=>25 [7,5,8,2,6,9,1,3,4,10]=>22 [8,4,9,2,5,10,1,3,6,7]=>23 [7,4,8,2,5,9,1,3,6,10]=>20 [9,8,7,6,5,4,3,2,1,10]=>36 [1,10,9,8,7,6,5,4,3,2]=>36 [8,9,7,6,5,4,3,2,1,10]=>35 [1,9,10,8,7,6,5,4,3,2]=>35 [1,2,3,4,5,6,7,8,9,10]=>0 [1,2,3,4,5,6,7,8,10,9]=>1 [2,3,4,5,6,7,8,9,10,1]=>9 [2,4,6,8,10,1,3,5,7,9]=>15 [2,4,6,9,10,1,3,5,7,8]=>16 [2,4,7,8,10,1,3,5,6,9]=>16 [2,4,7,9,10,1,3,5,6,8]=>17 [2,4,8,9,10,1,3,5,6,7]=>18 [2,5,6,8,10,1,3,4,7,9]=>16 [2,5,6,9,10,1,3,4,7,8]=>17 [2,5,7,8,10,1,3,4,6,9]=>17 [2,5,7,9,10,1,3,4,6,8]=>18 [2,5,8,9,10,1,3,4,6,7]=>19 [2,6,7,8,10,1,3,4,5,9]=>18 [2,6,7,9,10,1,3,4,5,8]=>19 [2,6,8,9,10,1,3,4,5,7]=>20 [2,7,8,9,10,1,3,4,5,6]=>21 [3,4,6,8,10,1,2,5,7,9]=>16 [3,4,6,9,10,1,2,5,7,8]=>17 [3,4,7,8,10,1,2,5,6,9]=>17 [3,4,7,9,10,1,2,5,6,8]=>18 [3,4,8,9,10,1,2,5,6,7]=>19 [3,5,6,8,10,1,2,4,7,9]=>17 [3,5,6,9,10,1,2,4,7,8]=>18 [3,5,7,8,10,1,2,4,6,9]=>18 [3,5,7,9,10,1,2,4,6,8]=>19 [3,5,8,9,10,1,2,4,6,7]=>20 [3,6,7,8,10,1,2,4,5,9]=>19 [3,6,7,9,10,1,2,4,5,8]=>20 [3,6,8,9,10,1,2,4,5,7]=>21 [3,7,8,9,10,1,2,4,5,6]=>22 [4,5,6,8,10,1,2,3,7,9]=>18 [4,5,6,9,10,1,2,3,7,8]=>19 [4,5,7,8,10,1,2,3,6,9]=>19 [4,5,7,9,10,1,2,3,6,8]=>20 [4,5,8,9,10,1,2,3,6,7]=>21 [4,6,7,8,10,1,2,3,5,9]=>20 [4,6,7,9,10,1,2,3,5,8]=>21 [4,6,8,9,10,1,2,3,5,7]=>22 [4,7,8,9,10,1,2,3,5,6]=>23 [5,6,7,8,10,1,2,3,4,9]=>21 [5,6,7,9,10,1,2,3,4,8]=>22 [5,6,8,9,10,1,2,3,4,7]=>23 [5,7,8,9,10,1,2,3,4,6]=>24 [2,1,3,4,5,6,7,8,9,10]=>1 [9,1,2,3,4,5,6,7,10,8]=>9 [2,10,1,3,4,5,6,7,8,9]=>9 [10,1,2,3,4,5,6,7,8,9]=>9 [9,10,1,2,3,4,5,6,7,8]=>16 [10,9,1,2,3,4,5,6,7,8]=>17 [8,9,10,1,2,3,4,5,6,7]=>21 [10,8,9,1,2,3,4,5,6,7]=>23 [10,9,8,1,2,3,4,5,6,7]=>24 [7,8,9,10,1,2,3,4,5,6]=>24 [10,7,8,9,1,2,3,4,5,6]=>27 [9,10,7,8,1,2,3,4,5,6]=>28 [10,9,7,8,1,2,3,4,5,6]=>29 [10,9,8,7,1,2,3,4,5,6]=>30 [10,6,7,8,9,1,2,3,4,5]=>29 [9,10,6,7,8,1,2,3,4,5]=>31 [10,9,6,7,8,1,2,3,4,5]=>32 [10,8,9,6,7,1,2,3,4,5]=>33 [10,9,8,6,7,1,2,3,4,5]=>34 [10,9,8,7,6,1,2,3,4,5]=>35 [9,10,5,6,7,8,1,2,3,4]=>32 [10,9,5,6,7,8,1,2,3,4]=>33 [8,9,10,5,6,7,1,2,3,4]=>33 [10,9,8,5,6,7,1,2,3,4]=>36 [9,10,7,8,5,6,1,2,3,4]=>36 [10,9,7,8,5,6,1,2,3,4]=>37 [10,9,8,7,5,6,1,2,3,4]=>38 [10,9,8,7,6,5,1,2,3,4]=>39 [10,7,8,9,4,5,6,1,2,3]=>36 [9,10,7,8,4,5,6,1,2,3]=>37 [10,9,7,8,4,5,6,1,2,3]=>38 [10,9,8,7,4,5,6,1,2,3]=>39 [10,8,9,6,7,4,5,1,2,3]=>39 [10,9,8,6,7,4,5,1,2,3]=>40 [10,9,8,7,6,4,5,1,2,3]=>41 [10,9,8,7,6,5,4,1,2,3]=>42 [9,10,7,8,5,6,3,4,1,2]=>40 [10,9,7,8,5,6,3,4,1,2]=>41 [10,9,8,7,5,6,3,4,1,2]=>42 [10,9,8,7,6,5,3,4,1,2]=>43 [10,9,8,7,6,5,4,3,1,2]=>44 [2,3,4,5,6,7,8,9,1,10]=>8 [9,8,7,5,6,4,3,2,1,10]=>35 [1,10,9,8,6,7,5,4,3,2]=>35 [10,2,1,3,4,5,6,7,8,9]=>10 [3,2,4,5,6,7,8,9,10,1]=>10 [9,1,2,3,4,5,6,7,8,10]=>8 [1,10,2,3,4,5,6,7,8,9]=>8 [8,9,1,2,3,4,5,6,7,10]=>14 [1,9,10,2,3,4,5,6,7,8]=>14 [3,4,1,2,5,6,7,8,9,10]=>4 [3,2,1,4,5,6,7,8,9,10]=>3 [4,5,6,1,2,3,7,8,9,10]=>9 [4,2,5,1,3,6,7,8,9,10]=>6 [4,3,2,1,5,6,7,8,9,10]=>6 [5,6,7,8,1,2,3,4,9,10]=>16 [5,2,6,7,1,3,4,8,9,10]=>11 [5,6,3,4,1,2,7,8,9,10]=>12 [5,3,2,6,1,4,7,8,9,10]=>9 [5,4,3,2,1,6,7,8,9,10]=>10 [6,2,7,8,9,1,3,4,5,10]=>18 [6,7,3,4,8,1,2,5,9,10]=>17 [6,3,2,7,8,1,4,5,9,10]=>14 [6,4,7,2,5,1,3,8,9,10]=>15 [6,4,3,2,7,1,5,8,9,10]=>13 [6,5,4,3,2,1,7,8,9,10]=>15 [7,8,3,4,9,10,1,2,5,6]=>24 [7,8,9,4,5,6,1,2,3,10]=>27 [7,4,3,2,8,9,1,5,6,10]=>18 [7,8,5,6,3,4,1,2,9,10]=>24 [7,5,3,8,2,6,1,4,9,10]=>19 [7,5,4,3,2,8,1,6,9,10]=>18 [7,6,5,4,3,2,1,8,9,10]=>21 [8,5,9,10,2,6,7,1,3,4]=>30 [8,5,3,9,2,6,10,1,4,7]=>24 [8,6,9,4,7,2,5,1,3,10]=>28 [8,6,4,3,9,2,7,1,5,10]=>24 [8,6,5,4,3,2,9,1,7,10]=>24 [8,7,6,5,4,3,2,1,9,10]=>28 [9,7,5,4,3,10,2,8,1,6]=>30 [10,9,8,7,6,5,4,3,2,1,11]=>45 [1,11,10,9,8,7,6,5,4,3,2]=>45 [1,2,3,4,5,6,7,8,9,11,10]=>1 [2,1,3,4,5,6,7,8,9,10,11]=>1 [11,1,2,3,4,5,6,7,8,9,10]=>10 [2,3,4,5,6,7,8,9,10,11,1]=>10 [10,1,2,3,4,5,6,7,8,9,11]=>9 [1,11,2,3,4,5,6,7,8,9,10]=>9 [2,1,4,3,6,5,8,7,10,9,12,11]=>6 [2,1,4,3,6,5,8,7,12,11,10,9]=>10 [2,1,4,3,6,5,10,9,8,7,12,11]=>10 [2,1,4,3,6,5,12,9,8,11,10,7]=>14 [2,1,4,3,6,5,12,11,10,9,8,7]=>18 [2,1,4,3,8,7,6,5,10,9,12,11]=>10 [2,1,4,3,8,7,6,5,12,11,10,9]=>14 [2,1,4,3,10,7,6,9,8,5,12,11]=>14 [2,1,4,3,12,7,6,9,8,11,10,5]=>18 [2,1,4,3,12,7,6,11,10,9,8,5]=>22 [2,1,4,3,10,9,8,7,6,5,12,11]=>18 [2,1,4,3,12,9,8,7,6,11,10,5]=>22 [2,1,4,3,12,11,8,7,10,9,6,5]=>26 [2,1,4,3,12,11,10,9,8,7,6,5]=>30 [2,1,6,5,4,3,8,7,10,9,12,11]=>10 [2,1,6,5,4,3,8,7,12,11,10,9]=>14 [2,1,6,5,4,3,10,9,8,7,12,11]=>14 [2,1,6,5,4,3,12,9,8,11,10,7]=>18 [2,1,6,5,4,3,12,11,10,9,8,7]=>22 [2,1,8,5,4,7,6,3,10,9,12,11]=>14 [2,1,8,5,4,7,6,3,12,11,10,9]=>18 [2,1,10,5,4,7,6,9,8,3,12,11]=>18 [2,1,12,5,4,7,6,9,8,11,10,3]=>22 [2,1,12,5,4,7,6,11,10,9,8,3]=>26 [2,1,10,5,4,9,8,7,6,3,12,11]=>22 [2,1,12,5,4,9,8,7,6,11,10,3]=>26 [2,1,12,5,4,11,8,7,10,9,6,3]=>30 [2,1,12,5,4,11,10,9,8,7,6,3]=>34 [2,1,8,7,6,5,4,3,10,9,12,11]=>18 [2,1,8,7,6,5,4,3,12,11,10,9]=>22 [2,1,10,7,6,5,4,9,8,3,12,11]=>22 [2,1,12,7,6,5,4,9,8,11,10,3]=>26 [2,1,12,7,6,5,4,11,10,9,8,3]=>30 [2,1,10,9,6,5,8,7,4,3,12,11]=>26 [2,1,12,9,6,5,8,7,4,11,10,3]=>30 [2,1,12,11,6,5,8,7,10,9,4,3]=>34 [2,1,12,11,6,5,10,9,8,7,4,3]=>38 [2,1,10,9,8,7,6,5,4,3,12,11]=>30 [2,1,12,9,8,7,6,5,4,11,10,3]=>34 [2,1,12,11,8,7,6,5,10,9,4,3]=>38 [2,1,12,11,10,7,6,9,8,5,4,3]=>42 [2,1,12,11,10,9,8,7,6,5,4,3]=>46 [4,3,2,1,6,5,8,7,10,9,12,11]=>10 [4,3,2,1,6,5,8,7,12,11,10,9]=>14 [4,3,2,1,6,5,10,9,8,7,12,11]=>14 [4,3,2,1,6,5,12,9,8,11,10,7]=>18 [4,3,2,1,6,5,12,11,10,9,8,7]=>22 [4,3,2,1,8,7,6,5,10,9,12,11]=>14 [4,3,2,1,8,7,6,5,12,11,10,9]=>18 [4,3,2,1,10,7,6,9,8,5,12,11]=>18 [4,3,2,1,12,7,6,9,8,11,10,5]=>22 [4,3,2,1,12,7,6,11,10,9,8,5]=>26 [4,3,2,1,10,9,8,7,6,5,12,11]=>22 [4,3,2,1,12,9,8,7,6,11,10,5]=>26 [4,3,2,1,12,11,8,7,10,9,6,5]=>30 [4,3,2,1,12,11,10,9,8,7,6,5]=>34 [6,3,2,5,4,1,8,7,10,9,12,11]=>14 [6,3,2,5,4,1,8,7,12,11,10,9]=>18 [6,3,2,5,4,1,10,9,8,7,12,11]=>18 [6,3,2,5,4,1,12,9,8,11,10,7]=>22 [6,3,2,5,4,1,12,11,10,9,8,7]=>26 [8,3,2,5,4,7,6,1,10,9,12,11]=>18 [8,3,2,5,4,7,6,1,12,11,10,9]=>22 [10,3,2,5,4,7,6,9,8,1,12,11]=>22 [12,3,2,5,4,7,6,9,8,11,10,1]=>26 [12,3,2,5,4,7,6,11,10,9,8,1]=>30 [10,3,2,5,4,9,8,7,6,1,12,11]=>26 [12,3,2,5,4,9,8,7,6,11,10,1]=>30 [12,3,2,5,4,11,8,7,10,9,6,1]=>34 [12,3,2,5,4,11,10,9,8,7,6,1]=>38 [8,3,2,7,6,5,4,1,10,9,12,11]=>22 [8,3,2,7,6,5,4,1,12,11,10,9]=>26 [10,3,2,7,6,5,4,9,8,1,12,11]=>26 [12,3,2,7,6,5,4,9,8,11,10,1]=>30 [12,3,2,7,6,5,4,11,10,9,8,1]=>34 [10,3,2,9,6,5,8,7,4,1,12,11]=>30 [12,3,2,9,6,5,8,7,4,11,10,1]=>34 [12,3,2,11,6,5,8,7,10,9,4,1]=>38 [12,3,2,11,6,5,10,9,8,7,4,1]=>42 [10,3,2,9,8,7,6,5,4,1,12,11]=>34 [12,3,2,9,8,7,6,5,4,11,10,1]=>38 [12,3,2,11,8,7,6,5,10,9,4,1]=>42 [12,3,2,11,10,7,6,9,8,5,4,1]=>46 [12,3,2,11,10,9,8,7,6,5,4,1]=>50 [6,5,4,3,2,1,8,7,10,9,12,11]=>18 [6,5,4,3,2,1,8,7,12,11,10,9]=>22 [6,5,4,3,2,1,10,9,8,7,12,11]=>22 [6,5,4,3,2,1,12,9,8,11,10,7]=>26 [6,5,4,3,2,1,12,11,10,9,8,7]=>30 [8,5,4,3,2,7,6,1,10,9,12,11]=>22 [8,5,4,3,2,7,6,1,12,11,10,9]=>26 [10,5,4,3,2,7,6,9,8,1,12,11]=>26 [12,5,4,3,2,7,6,9,8,11,10,1]=>30 [12,5,4,3,2,7,6,11,10,9,8,1]=>34 [10,5,4,3,2,9,8,7,6,1,12,11]=>30 [12,5,4,3,2,9,8,7,6,11,10,1]=>34 [12,5,4,3,2,11,8,7,10,9,6,1]=>38 [12,5,4,3,2,11,10,9,8,7,6,1]=>42 [8,7,4,3,6,5,2,1,10,9,12,11]=>26 [8,7,4,3,6,5,2,1,12,11,10,9]=>30 [10,7,4,3,6,5,2,9,8,1,12,11]=>30 [12,7,4,3,6,5,2,9,8,11,10,1]=>34 [12,7,4,3,6,5,2,11,10,9,8,1]=>38 [10,9,4,3,6,5,8,7,2,1,12,11]=>34 [12,9,4,3,6,5,8,7,2,11,10,1]=>38 [12,11,4,3,6,5,8,7,10,9,2,1]=>42 [12,11,4,3,6,5,10,9,8,7,2,1]=>46 [10,9,4,3,8,7,6,5,2,1,12,11]=>38 [12,9,4,3,8,7,6,5,2,11,10,1]=>42 [12,11,4,3,8,7,6,5,10,9,2,1]=>46 [12,11,4,3,10,7,6,9,8,5,2,1]=>50 [12,11,4,3,10,9,8,7,6,5,2,1]=>54 [8,7,6,5,4,3,2,1,10,9,12,11]=>30 [8,7,6,5,4,3,2,1,12,11,10,9]=>34 [10,7,6,5,4,3,2,9,8,1,12,11]=>34 [12,7,6,5,4,3,2,9,8,11,10,1]=>38 [12,7,6,5,4,3,2,11,10,9,8,1]=>42 [10,9,6,5,4,3,8,7,2,1,12,11]=>38 [12,9,6,5,4,3,8,7,2,11,10,1]=>42 [12,11,6,5,4,3,8,7,10,9,2,1]=>46 [12,11,6,5,4,3,10,9,8,7,2,1]=>50 [10,9,8,5,4,7,6,3,2,1,12,11]=>42 [12,9,8,5,4,7,6,3,2,11,10,1]=>46 [12,11,8,5,4,7,6,3,10,9,2,1]=>50 [12,11,10,5,4,7,6,9,8,3,2,1]=>54 [12,11,10,5,4,9,8,7,6,3,2,1]=>58 [10,9,8,7,6,5,4,3,2,1,12,11]=>46 [12,9,8,7,6,5,4,3,2,11,10,1]=>50 [12,11,8,7,6,5,4,3,10,9,2,1]=>54 [12,11,10,7,6,5,4,9,8,3,2,1]=>58 [12,11,10,9,6,5,8,7,4,3,2,1]=>62 [12,11,10,9,8,7,6,5,4,3,2,1]=>66 [2,4,6,8,10,12,1,3,5,7,9,11]=>21 [2,4,6,8,11,12,1,3,5,7,9,10]=>22 [2,4,6,9,10,12,1,3,5,7,8,11]=>22 [2,4,6,9,11,12,1,3,5,7,8,10]=>23 [2,4,6,10,11,12,1,3,5,7,8,9]=>24 [2,4,7,8,10,12,1,3,5,6,9,11]=>22 [2,4,7,8,11,12,1,3,5,6,9,10]=>23 [2,4,7,9,10,12,1,3,5,6,8,11]=>23 [2,4,7,9,11,12,1,3,5,6,8,10]=>24 [2,4,7,10,11,12,1,3,5,6,8,9]=>25 [2,4,8,9,10,12,1,3,5,6,7,11]=>24 [2,4,8,9,11,12,1,3,5,6,7,10]=>25 [2,4,8,10,11,12,1,3,5,6,7,9]=>26 [2,4,9,10,11,12,1,3,5,6,7,8]=>27 [2,5,6,8,10,12,1,3,4,7,9,11]=>22 [2,5,6,8,11,12,1,3,4,7,9,10]=>23 [2,5,6,9,10,12,1,3,4,7,8,11]=>23 [2,5,6,9,11,12,1,3,4,7,8,10]=>24 [2,5,6,10,11,12,1,3,4,7,8,9]=>25 [2,5,7,8,10,12,1,3,4,6,9,11]=>23 [2,5,7,8,11,12,1,3,4,6,9,10]=>24 [2,5,7,9,10,12,1,3,4,6,8,11]=>24 [2,5,7,9,11,12,1,3,4,6,8,10]=>25 [2,5,7,10,11,12,1,3,4,6,8,9]=>26 [2,5,8,9,10,12,1,3,4,6,7,11]=>25 [2,5,8,9,11,12,1,3,4,6,7,10]=>26 [2,5,8,10,11,12,1,3,4,6,7,9]=>27 [2,5,9,10,11,12,1,3,4,6,7,8]=>28 [2,6,7,8,10,12,1,3,4,5,9,11]=>24 [2,6,7,8,11,12,1,3,4,5,9,10]=>25 [2,6,7,9,10,12,1,3,4,5,8,11]=>25 [2,6,7,9,11,12,1,3,4,5,8,10]=>26 [2,6,7,10,11,12,1,3,4,5,8,9]=>27 [2,6,8,9,10,12,1,3,4,5,7,11]=>26 [2,6,8,9,11,12,1,3,4,5,7,10]=>27 [2,6,8,10,11,12,1,3,4,5,7,9]=>28 [2,6,9,10,11,12,1,3,4,5,7,8]=>29 [2,7,8,9,10,12,1,3,4,5,6,11]=>27 [2,7,8,9,11,12,1,3,4,5,6,10]=>28 [2,7,8,10,11,12,1,3,4,5,6,9]=>29 [2,7,9,10,11,12,1,3,4,5,6,8]=>30 [2,8,9,10,11,12,1,3,4,5,6,7]=>31 [3,4,6,8,10,12,1,2,5,7,9,11]=>22 [3,4,6,8,11,12,1,2,5,7,9,10]=>23 [3,4,6,9,10,12,1,2,5,7,8,11]=>23 [3,4,6,9,11,12,1,2,5,7,8,10]=>24 [3,4,6,10,11,12,1,2,5,7,8,9]=>25 [3,4,7,8,10,12,1,2,5,6,9,11]=>23 [3,4,7,8,11,12,1,2,5,6,9,10]=>24 [3,4,7,9,10,12,1,2,5,6,8,11]=>24 [3,4,7,9,11,12,1,2,5,6,8,10]=>25 [3,4,7,10,11,12,1,2,5,6,8,9]=>26 [3,4,8,9,10,12,1,2,5,6,7,11]=>25 [3,4,8,9,11,12,1,2,5,6,7,10]=>26 [3,4,8,10,11,12,1,2,5,6,7,9]=>27 [3,4,9,10,11,12,1,2,5,6,7,8]=>28 [3,5,6,8,10,12,1,2,4,7,9,11]=>23 [3,5,6,8,11,12,1,2,4,7,9,10]=>24 [3,5,6,9,10,12,1,2,4,7,8,11]=>24 [3,5,6,9,11,12,1,2,4,7,8,10]=>25 [3,5,6,10,11,12,1,2,4,7,8,9]=>26 [3,5,7,8,10,12,1,2,4,6,9,11]=>24 [3,5,7,8,11,12,1,2,4,6,9,10]=>25 [3,5,7,9,10,12,1,2,4,6,8,11]=>25 [3,5,7,9,11,12,1,2,4,6,8,10]=>26 [3,5,7,10,11,12,1,2,4,6,8,9]=>27 [3,5,8,9,10,12,1,2,4,6,7,11]=>26 [3,5,8,9,11,12,1,2,4,6,7,10]=>27 [3,5,8,10,11,12,1,2,4,6,7,9]=>28 [3,5,9,10,11,12,1,2,4,6,7,8]=>29 [3,6,7,8,10,12,1,2,4,5,9,11]=>25 [3,6,7,8,11,12,1,2,4,5,9,10]=>26 [3,6,7,9,10,12,1,2,4,5,8,11]=>26 [3,6,7,9,11,12,1,2,4,5,8,10]=>27 [3,6,7,10,11,12,1,2,4,5,8,9]=>28 [3,6,8,9,10,12,1,2,4,5,7,11]=>27 [3,6,8,9,11,12,1,2,4,5,7,10]=>28 [3,6,8,10,11,12,1,2,4,5,7,9]=>29 [3,6,9,10,11,12,1,2,4,5,7,8]=>30 [3,7,8,9,10,12,1,2,4,5,6,11]=>28 [3,7,8,9,11,12,1,2,4,5,6,10]=>29 [3,7,8,10,11,12,1,2,4,5,6,9]=>30 [3,7,9,10,11,12,1,2,4,5,6,8]=>31 [3,8,9,10,11,12,1,2,4,5,6,7]=>32 [4,5,6,8,10,12,1,2,3,7,9,11]=>24 [4,5,6,8,11,12,1,2,3,7,9,10]=>25 [4,5,6,9,10,12,1,2,3,7,8,11]=>25 [4,5,6,9,11,12,1,2,3,7,8,10]=>26 [4,5,6,10,11,12,1,2,3,7,8,9]=>27 [4,5,7,8,10,12,1,2,3,6,9,11]=>25 [4,5,7,8,11,12,1,2,3,6,9,10]=>26 [4,5,7,9,10,12,1,2,3,6,8,11]=>26 [4,5,7,9,11,12,1,2,3,6,8,10]=>27 [4,5,7,10,11,12,1,2,3,6,8,9]=>28 [4,5,8,9,10,12,1,2,3,6,7,11]=>27 [4,5,8,9,11,12,1,2,3,6,7,10]=>28 [4,5,8,10,11,12,1,2,3,6,7,9]=>29 [4,5,9,10,11,12,1,2,3,6,7,8]=>30 [4,6,7,8,10,12,1,2,3,5,9,11]=>26 [4,6,7,8,11,12,1,2,3,5,9,10]=>27 [4,6,7,9,10,12,1,2,3,5,8,11]=>27 [4,6,7,9,11,12,1,2,3,5,8,10]=>28 [4,6,7,10,11,12,1,2,3,5,8,9]=>29 [4,6,8,9,10,12,1,2,3,5,7,11]=>28 [4,6,8,9,11,12,1,2,3,5,7,10]=>29 [4,6,8,10,11,12,1,2,3,5,7,9]=>30 [4,6,9,10,11,12,1,2,3,5,7,8]=>31 [4,7,8,9,10,12,1,2,3,5,6,11]=>29 [4,7,8,9,11,12,1,2,3,5,6,10]=>30 [4,7,8,10,11,12,1,2,3,5,6,9]=>31 [4,7,9,10,11,12,1,2,3,5,6,8]=>32 [4,8,9,10,11,12,1,2,3,5,6,7]=>33 [5,6,7,8,10,12,1,2,3,4,9,11]=>27 [5,6,7,8,11,12,1,2,3,4,9,10]=>28 [5,6,7,9,10,12,1,2,3,4,8,11]=>28 [5,6,7,9,11,12,1,2,3,4,8,10]=>29 [5,6,7,10,11,12,1,2,3,4,8,9]=>30 [5,6,8,9,10,12,1,2,3,4,7,11]=>29 [5,6,8,9,11,12,1,2,3,4,7,10]=>30 [5,6,8,10,11,12,1,2,3,4,7,9]=>31 [5,6,9,10,11,12,1,2,3,4,7,8]=>32 [5,7,8,9,10,12,1,2,3,4,6,11]=>30 [5,7,8,9,11,12,1,2,3,4,6,10]=>31 [5,7,8,10,11,12,1,2,3,4,6,9]=>32 [5,7,9,10,11,12,1,2,3,4,6,8]=>33 [5,8,9,10,11,12,1,2,3,4,6,7]=>34 [6,7,8,9,10,12,1,2,3,4,5,11]=>31 [6,7,8,9,11,12,1,2,3,4,5,10]=>32 [6,7,8,10,11,12,1,2,3,4,5,9]=>33 [6,7,9,10,11,12,1,2,3,4,5,8]=>34 [6,8,9,10,11,12,1,2,3,4,5,7]=>35 [7,8,9,10,11,12,1,2,3,4,5,6]=>36
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Description
The number of inversions of a permutation.
This equals the minimal number of simple transpositions $(i,i+1)$ needed to write $\pi$. Thus, it is also the Coxeter length of $\pi$.
References
[1] Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_i=0..n-1 (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). OEIS:A008302
[2] List of permutations of 1,2,3,...,n for n=1,2,3,..., in lexicographic order. OEIS:A030298
[3] Array of digit sums of factorial representation of numbers 0,1,...,n!-1 for n>=1. OEIS:A139365
Code
def statistic(x):
    return x.number_of_inversions()
Created
Sep 27, 2011 at 23:29 by Christian Stump
Updated
May 12, 2020 at 15:17 by Martin Rubey