edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>0 [1,2,3]=>0 [1,3,2]=>3 [2,1,3]=>0 [2,3,1]=>3 [3,1,2]=>0 [3,2,1]=>0 [1,2,3,4]=>0 [1,2,4,3]=>4 [1,3,2,4]=>3 [1,3,4,2]=>4 [1,4,2,3]=>4 [1,4,3,2]=>4 [2,1,3,4]=>0 [2,1,4,3]=>4 [2,3,1,4]=>3 [2,3,4,1]=>4 [2,4,1,3]=>4 [2,4,3,1]=>4 [3,1,2,4]=>0 [3,1,4,2]=>4 [3,2,1,4]=>0 [3,2,4,1]=>4 [3,4,1,2]=>4 [3,4,2,1]=>4 [4,1,2,3]=>0 [4,1,3,2]=>3 [4,2,1,3]=>0 [4,2,3,1]=>3 [4,3,1,2]=>0 [4,3,2,1]=>0 [1,2,3,4,5]=>0 [1,2,3,5,4]=>5 [1,2,4,3,5]=>4 [1,2,4,5,3]=>5 [1,2,5,3,4]=>5 [1,2,5,4,3]=>5 [1,3,2,4,5]=>3 [1,3,2,5,4]=>8 [1,3,4,2,5]=>4 [1,3,4,5,2]=>5 [1,3,5,2,4]=>5 [1,3,5,4,2]=>5 [1,4,2,3,5]=>4 [1,4,2,5,3]=>9 [1,4,3,2,5]=>4 [1,4,3,5,2]=>9 [1,4,5,2,3]=>5 [1,4,5,3,2]=>5 [1,5,2,3,4]=>5 [1,5,2,4,3]=>9 [1,5,3,2,4]=>5 [1,5,3,4,2]=>9 [1,5,4,2,3]=>5 [1,5,4,3,2]=>5 [2,1,3,4,5]=>0 [2,1,3,5,4]=>5 [2,1,4,3,5]=>4 [2,1,4,5,3]=>5 [2,1,5,3,4]=>5 [2,1,5,4,3]=>5 [2,3,1,4,5]=>3 [2,3,1,5,4]=>8 [2,3,4,1,5]=>4 [2,3,4,5,1]=>5 [2,3,5,1,4]=>5 [2,3,5,4,1]=>5 [2,4,1,3,5]=>4 [2,4,1,5,3]=>9 [2,4,3,1,5]=>4 [2,4,3,5,1]=>9 [2,4,5,1,3]=>5 [2,4,5,3,1]=>5 [2,5,1,3,4]=>5 [2,5,1,4,3]=>9 [2,5,3,1,4]=>5 [2,5,3,4,1]=>9 [2,5,4,1,3]=>5 [2,5,4,3,1]=>5 [3,1,2,4,5]=>0 [3,1,2,5,4]=>5 [3,1,4,2,5]=>4 [3,1,4,5,2]=>5 [3,1,5,2,4]=>5 [3,1,5,4,2]=>5 [3,2,1,4,5]=>0 [3,2,1,5,4]=>5 [3,2,4,1,5]=>4 [3,2,4,5,1]=>5 [3,2,5,1,4]=>5 [3,2,5,4,1]=>5 [3,4,1,2,5]=>4 [3,4,1,5,2]=>9 [3,4,2,1,5]=>4 [3,4,2,5,1]=>9 [3,4,5,1,2]=>5 [3,4,5,2,1]=>5 [3,5,1,2,4]=>5 [3,5,1,4,2]=>9 [3,5,2,1,4]=>5 [3,5,2,4,1]=>9 [3,5,4,1,2]=>5 [3,5,4,2,1]=>5 [4,1,2,3,5]=>0 [4,1,2,5,3]=>5 [4,1,3,2,5]=>3 [4,1,3,5,2]=>5 [4,1,5,2,3]=>5 [4,1,5,3,2]=>5 [4,2,1,3,5]=>0 [4,2,1,5,3]=>5 [4,2,3,1,5]=>3 [4,2,3,5,1]=>5 [4,2,5,1,3]=>5 [4,2,5,3,1]=>5 [4,3,1,2,5]=>0 [4,3,1,5,2]=>5 [4,3,2,1,5]=>0 [4,3,2,5,1]=>5 [4,3,5,1,2]=>5 [4,3,5,2,1]=>5 [4,5,1,2,3]=>5 [4,5,1,3,2]=>8 [4,5,2,1,3]=>5 [4,5,2,3,1]=>8 [4,5,3,1,2]=>5 [4,5,3,2,1]=>5 [5,1,2,3,4]=>0 [5,1,2,4,3]=>4 [5,1,3,2,4]=>3 [5,1,3,4,2]=>4 [5,1,4,2,3]=>4 [5,1,4,3,2]=>4 [5,2,1,3,4]=>0 [5,2,1,4,3]=>4 [5,2,3,1,4]=>3 [5,2,3,4,1]=>4 [5,2,4,1,3]=>4 [5,2,4,3,1]=>4 [5,3,1,2,4]=>0 [5,3,1,4,2]=>4 [5,3,2,1,4]=>0 [5,3,2,4,1]=>4 [5,3,4,1,2]=>4 [5,3,4,2,1]=>4 [5,4,1,2,3]=>0 [5,4,1,3,2]=>3 [5,4,2,1,3]=>0 [5,4,2,3,1]=>3 [5,4,3,1,2]=>0 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>6 [1,2,3,5,4,6]=>5 [1,2,3,5,6,4]=>6 [1,2,3,6,4,5]=>6 [1,2,3,6,5,4]=>6 [1,2,4,3,5,6]=>4 [1,2,4,3,6,5]=>10 [1,2,4,5,3,6]=>5 [1,2,4,5,6,3]=>6 [1,2,4,6,3,5]=>6 [1,2,4,6,5,3]=>6 [1,2,5,3,4,6]=>5 [1,2,5,3,6,4]=>11 [1,2,5,4,3,6]=>5 [1,2,5,4,6,3]=>11 [1,2,5,6,3,4]=>6 [1,2,5,6,4,3]=>6 [1,2,6,3,4,5]=>6 [1,2,6,3,5,4]=>11 [1,2,6,4,3,5]=>6 [1,2,6,4,5,3]=>11 [1,2,6,5,3,4]=>6 [1,2,6,5,4,3]=>6 [1,3,2,4,5,6]=>3 [1,3,2,4,6,5]=>9 [1,3,2,5,4,6]=>8 [1,3,2,5,6,4]=>9 [1,3,2,6,4,5]=>9 [1,3,2,6,5,4]=>9 [1,3,4,2,5,6]=>4 [1,3,4,2,6,5]=>10 [1,3,4,5,2,6]=>5 [1,3,4,5,6,2]=>6 [1,3,4,6,2,5]=>6 [1,3,4,6,5,2]=>6 [1,3,5,2,4,6]=>5 [1,3,5,2,6,4]=>11 [1,3,5,4,2,6]=>5 [1,3,5,4,6,2]=>11 [1,3,5,6,2,4]=>6 [1,3,5,6,4,2]=>6 [1,3,6,2,4,5]=>6 [1,3,6,2,5,4]=>11 [1,3,6,4,2,5]=>6 [1,3,6,4,5,2]=>11 [1,3,6,5,2,4]=>6 [1,3,6,5,4,2]=>6 [1,4,2,3,5,6]=>4 [1,4,2,3,6,5]=>10 [1,4,2,5,3,6]=>9 [1,4,2,5,6,3]=>10 [1,4,2,6,3,5]=>10 [1,4,2,6,5,3]=>10 [1,4,3,2,5,6]=>4 [1,4,3,2,6,5]=>10 [1,4,3,5,2,6]=>9 [1,4,3,5,6,2]=>10 [1,4,3,6,2,5]=>10 [1,4,3,6,5,2]=>10 [1,4,5,2,3,6]=>5 [1,4,5,2,6,3]=>11 [1,4,5,3,2,6]=>5 [1,4,5,3,6,2]=>11 [1,4,5,6,2,3]=>6 [1,4,5,6,3,2]=>6 [1,4,6,2,3,5]=>6 [1,4,6,2,5,3]=>11 [1,4,6,3,2,5]=>6 [1,4,6,3,5,2]=>11 [1,4,6,5,2,3]=>6 [1,4,6,5,3,2]=>6 [1,5,2,3,4,6]=>5 [1,5,2,3,6,4]=>11 [1,5,2,4,3,6]=>9 [1,5,2,4,6,3]=>11 [1,5,2,6,3,4]=>11 [1,5,2,6,4,3]=>11 [1,5,3,2,4,6]=>5 [1,5,3,2,6,4]=>11 [1,5,3,4,2,6]=>9 [1,5,3,4,6,2]=>11 [1,5,3,6,2,4]=>11 [1,5,3,6,4,2]=>11 [1,5,4,2,3,6]=>5 [1,5,4,2,6,3]=>11 [1,5,4,3,2,6]=>5 [1,5,4,3,6,2]=>11 [1,5,4,6,2,3]=>11 [1,5,4,6,3,2]=>11 [1,5,6,2,3,4]=>6 [1,5,6,2,4,3]=>10 [1,5,6,3,2,4]=>6 [1,5,6,3,4,2]=>10 [1,5,6,4,2,3]=>6 [1,5,6,4,3,2]=>6 [1,6,2,3,4,5]=>6 [1,6,2,3,5,4]=>11 [1,6,2,4,3,5]=>10 [1,6,2,4,5,3]=>11 [1,6,2,5,3,4]=>11 [1,6,2,5,4,3]=>11 [1,6,3,2,4,5]=>6 [1,6,3,2,5,4]=>11 [1,6,3,4,2,5]=>10 [1,6,3,4,5,2]=>11 [1,6,3,5,2,4]=>11 [1,6,3,5,4,2]=>11 [1,6,4,2,3,5]=>6 [1,6,4,2,5,3]=>11 [1,6,4,3,2,5]=>6 [1,6,4,3,5,2]=>11 [1,6,4,5,2,3]=>11 [1,6,4,5,3,2]=>11 [1,6,5,2,3,4]=>6 [1,6,5,2,4,3]=>10 [1,6,5,3,2,4]=>6 [1,6,5,3,4,2]=>10 [1,6,5,4,2,3]=>6 [1,6,5,4,3,2]=>6 [2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>6 [2,1,3,5,4,6]=>5 [2,1,3,5,6,4]=>6 [2,1,3,6,4,5]=>6 [2,1,3,6,5,4]=>6 [2,1,4,3,5,6]=>4 [2,1,4,3,6,5]=>10 [2,1,4,5,3,6]=>5 [2,1,4,5,6,3]=>6 [2,1,4,6,3,5]=>6 [2,1,4,6,5,3]=>6 [2,1,5,3,4,6]=>5 [2,1,5,3,6,4]=>11 [2,1,5,4,3,6]=>5 [2,1,5,4,6,3]=>11 [2,1,5,6,3,4]=>6 [2,1,5,6,4,3]=>6 [2,1,6,3,4,5]=>6 [2,1,6,3,5,4]=>11 [2,1,6,4,3,5]=>6 [2,1,6,4,5,3]=>11 [2,1,6,5,3,4]=>6 [2,1,6,5,4,3]=>6 [2,3,1,4,5,6]=>3 [2,3,1,4,6,5]=>9 [2,3,1,5,4,6]=>8 [2,3,1,5,6,4]=>9 [2,3,1,6,4,5]=>9 [2,3,1,6,5,4]=>9 [2,3,4,1,5,6]=>4 [2,3,4,1,6,5]=>10 [2,3,4,5,1,6]=>5 [2,3,4,5,6,1]=>6 [2,3,4,6,1,5]=>6 [2,3,4,6,5,1]=>6 [2,3,5,1,4,6]=>5 [2,3,5,1,6,4]=>11 [2,3,5,4,1,6]=>5 [2,3,5,4,6,1]=>11 [2,3,5,6,1,4]=>6 [2,3,5,6,4,1]=>6 [2,3,6,1,4,5]=>6 [2,3,6,1,5,4]=>11 [2,3,6,4,1,5]=>6 [2,3,6,4,5,1]=>11 [2,3,6,5,1,4]=>6 [2,3,6,5,4,1]=>6 [2,4,1,3,5,6]=>4 [2,4,1,3,6,5]=>10 [2,4,1,5,3,6]=>9 [2,4,1,5,6,3]=>10 [2,4,1,6,3,5]=>10 [2,4,1,6,5,3]=>10 [2,4,3,1,5,6]=>4 [2,4,3,1,6,5]=>10 [2,4,3,5,1,6]=>9 [2,4,3,5,6,1]=>10 [2,4,3,6,1,5]=>10 [2,4,3,6,5,1]=>10 [2,4,5,1,3,6]=>5 [2,4,5,1,6,3]=>11 [2,4,5,3,1,6]=>5 [2,4,5,3,6,1]=>11 [2,4,5,6,1,3]=>6 [2,4,5,6,3,1]=>6 [2,4,6,1,3,5]=>6 [2,4,6,1,5,3]=>11 [2,4,6,3,1,5]=>6 [2,4,6,3,5,1]=>11 [2,4,6,5,1,3]=>6 [2,4,6,5,3,1]=>6 [2,5,1,3,4,6]=>5 [2,5,1,3,6,4]=>11 [2,5,1,4,3,6]=>9 [2,5,1,4,6,3]=>11 [2,5,1,6,3,4]=>11 [2,5,1,6,4,3]=>11 [2,5,3,1,4,6]=>5 [2,5,3,1,6,4]=>11 [2,5,3,4,1,6]=>9 [2,5,3,4,6,1]=>11 [2,5,3,6,1,4]=>11 [2,5,3,6,4,1]=>11 [2,5,4,1,3,6]=>5 [2,5,4,1,6,3]=>11 [2,5,4,3,1,6]=>5 [2,5,4,3,6,1]=>11 [2,5,4,6,1,3]=>11 [2,5,4,6,3,1]=>11 [2,5,6,1,3,4]=>6 [2,5,6,1,4,3]=>10 [2,5,6,3,1,4]=>6 [2,5,6,3,4,1]=>10 [2,5,6,4,1,3]=>6 [2,5,6,4,3,1]=>6 [2,6,1,3,4,5]=>6 [2,6,1,3,5,4]=>11 [2,6,1,4,3,5]=>10 [2,6,1,4,5,3]=>11 [2,6,1,5,3,4]=>11 [2,6,1,5,4,3]=>11 [2,6,3,1,4,5]=>6 [2,6,3,1,5,4]=>11 [2,6,3,4,1,5]=>10 [2,6,3,4,5,1]=>11 [2,6,3,5,1,4]=>11 [2,6,3,5,4,1]=>11 [2,6,4,1,3,5]=>6 [2,6,4,1,5,3]=>11 [2,6,4,3,1,5]=>6 [2,6,4,3,5,1]=>11 [2,6,4,5,1,3]=>11 [2,6,4,5,3,1]=>11 [2,6,5,1,3,4]=>6 [2,6,5,1,4,3]=>10 [2,6,5,3,1,4]=>6 [2,6,5,3,4,1]=>10 [2,6,5,4,1,3]=>6 [2,6,5,4,3,1]=>6 [3,1,2,4,5,6]=>0 [3,1,2,4,6,5]=>6 [3,1,2,5,4,6]=>5 [3,1,2,5,6,4]=>6 [3,1,2,6,4,5]=>6 [3,1,2,6,5,4]=>6 [3,1,4,2,5,6]=>4 [3,1,4,2,6,5]=>10 [3,1,4,5,2,6]=>5 [3,1,4,5,6,2]=>6 [3,1,4,6,2,5]=>6 [3,1,4,6,5,2]=>6 [3,1,5,2,4,6]=>5 [3,1,5,2,6,4]=>11 [3,1,5,4,2,6]=>5 [3,1,5,4,6,2]=>11 [3,1,5,6,2,4]=>6 [3,1,5,6,4,2]=>6 [3,1,6,2,4,5]=>6 [3,1,6,2,5,4]=>11 [3,1,6,4,2,5]=>6 [3,1,6,4,5,2]=>11 [3,1,6,5,2,4]=>6 [3,1,6,5,4,2]=>6 [3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>6 [3,2,1,5,4,6]=>5 [3,2,1,5,6,4]=>6 [3,2,1,6,4,5]=>6 [3,2,1,6,5,4]=>6 [3,2,4,1,5,6]=>4 [3,2,4,1,6,5]=>10 [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]=>6 [3,2,5,1,4,6]=>5 [3,2,5,1,6,4]=>11 [3,2,5,4,1,6]=>5 [3,2,5,4,6,1]=>11 [3,2,5,6,1,4]=>6 [3,2,5,6,4,1]=>6 [3,2,6,1,4,5]=>6 [3,2,6,1,5,4]=>11 [3,2,6,4,1,5]=>6 [3,2,6,4,5,1]=>11 [3,2,6,5,1,4]=>6 [3,2,6,5,4,1]=>6 [3,4,1,2,5,6]=>4 [3,4,1,2,6,5]=>10 [3,4,1,5,2,6]=>9 [3,4,1,5,6,2]=>10 [3,4,1,6,2,5]=>10 [3,4,1,6,5,2]=>10 [3,4,2,1,5,6]=>4 [3,4,2,1,6,5]=>10 [3,4,2,5,1,6]=>9 [3,4,2,5,6,1]=>10 [3,4,2,6,1,5]=>10 [3,4,2,6,5,1]=>10 [3,4,5,1,2,6]=>5 [3,4,5,1,6,2]=>11 [3,4,5,2,1,6]=>5 [3,4,5,2,6,1]=>11 [3,4,5,6,1,2]=>6 [3,4,5,6,2,1]=>6 [3,4,6,1,2,5]=>6 [3,4,6,1,5,2]=>11 [3,4,6,2,1,5]=>6 [3,4,6,2,5,1]=>11 [3,4,6,5,1,2]=>6 [3,4,6,5,2,1]=>6 [3,5,1,2,4,6]=>5 [3,5,1,2,6,4]=>11 [3,5,1,4,2,6]=>9 [3,5,1,4,6,2]=>11 [3,5,1,6,2,4]=>11 [3,5,1,6,4,2]=>11 [3,5,2,1,4,6]=>5 [3,5,2,1,6,4]=>11 [3,5,2,4,1,6]=>9 [3,5,2,4,6,1]=>11 [3,5,2,6,1,4]=>11 [3,5,2,6,4,1]=>11 [3,5,4,1,2,6]=>5 [3,5,4,1,6,2]=>11 [3,5,4,2,1,6]=>5 [3,5,4,2,6,1]=>11 [3,5,4,6,1,2]=>11 [3,5,4,6,2,1]=>11 [3,5,6,1,2,4]=>6 [3,5,6,1,4,2]=>10 [3,5,6,2,1,4]=>6 [3,5,6,2,4,1]=>10 [3,5,6,4,1,2]=>6 [3,5,6,4,2,1]=>6 [3,6,1,2,4,5]=>6 [3,6,1,2,5,4]=>11 [3,6,1,4,2,5]=>10 [3,6,1,4,5,2]=>11 [3,6,1,5,2,4]=>11 [3,6,1,5,4,2]=>11 [3,6,2,1,4,5]=>6 [3,6,2,1,5,4]=>11 [3,6,2,4,1,5]=>10 [3,6,2,4,5,1]=>11 [3,6,2,5,1,4]=>11 [3,6,2,5,4,1]=>11 [3,6,4,1,2,5]=>6 [3,6,4,1,5,2]=>11 [3,6,4,2,1,5]=>6 [3,6,4,2,5,1]=>11 [3,6,4,5,1,2]=>11 [3,6,4,5,2,1]=>11 [3,6,5,1,2,4]=>6 [3,6,5,1,4,2]=>10 [3,6,5,2,1,4]=>6 [3,6,5,2,4,1]=>10 [3,6,5,4,1,2]=>6 [3,6,5,4,2,1]=>6 [4,1,2,3,5,6]=>0 [4,1,2,3,6,5]=>6 [4,1,2,5,3,6]=>5 [4,1,2,5,6,3]=>6 [4,1,2,6,3,5]=>6 [4,1,2,6,5,3]=>6 [4,1,3,2,5,6]=>3 [4,1,3,2,6,5]=>9 [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]=>6 [4,1,5,2,3,6]=>5 [4,1,5,2,6,3]=>11 [4,1,5,3,2,6]=>5 [4,1,5,3,6,2]=>11 [4,1,5,6,2,3]=>6 [4,1,5,6,3,2]=>6 [4,1,6,2,3,5]=>6 [4,1,6,2,5,3]=>11 [4,1,6,3,2,5]=>6 [4,1,6,3,5,2]=>11 [4,1,6,5,2,3]=>6 [4,1,6,5,3,2]=>6 [4,2,1,3,5,6]=>0 [4,2,1,3,6,5]=>6 [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]=>6 [4,2,3,1,5,6]=>3 [4,2,3,1,6,5]=>9 [4,2,3,5,1,6]=>5 [4,2,3,5,6,1]=>6 [4,2,3,6,1,5]=>6 [4,2,3,6,5,1]=>6 [4,2,5,1,3,6]=>5 [4,2,5,1,6,3]=>11 [4,2,5,3,1,6]=>5 [4,2,5,3,6,1]=>11 [4,2,5,6,1,3]=>6 [4,2,5,6,3,1]=>6 [4,2,6,1,3,5]=>6 [4,2,6,1,5,3]=>11 [4,2,6,3,1,5]=>6 [4,2,6,3,5,1]=>11 [4,2,6,5,1,3]=>6 [4,2,6,5,3,1]=>6 [4,3,1,2,5,6]=>0 [4,3,1,2,6,5]=>6 [4,3,1,5,2,6]=>5 [4,3,1,5,6,2]=>6 [4,3,1,6,2,5]=>6 [4,3,1,6,5,2]=>6 [4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>6 [4,3,2,5,1,6]=>5 [4,3,2,5,6,1]=>6 [4,3,2,6,1,5]=>6 [4,3,2,6,5,1]=>6 [4,3,5,1,2,6]=>5 [4,3,5,1,6,2]=>11 [4,3,5,2,1,6]=>5 [4,3,5,2,6,1]=>11 [4,3,5,6,1,2]=>6 [4,3,5,6,2,1]=>6 [4,3,6,1,2,5]=>6 [4,3,6,1,5,2]=>11 [4,3,6,2,1,5]=>6 [4,3,6,2,5,1]=>11 [4,3,6,5,1,2]=>6 [4,3,6,5,2,1]=>6 [4,5,1,2,3,6]=>5 [4,5,1,2,6,3]=>11 [4,5,1,3,2,6]=>8 [4,5,1,3,6,2]=>11 [4,5,1,6,2,3]=>11 [4,5,1,6,3,2]=>11 [4,5,2,1,3,6]=>5 [4,5,2,1,6,3]=>11 [4,5,2,3,1,6]=>8 [4,5,2,3,6,1]=>11 [4,5,2,6,1,3]=>11 [4,5,2,6,3,1]=>11 [4,5,3,1,2,6]=>5 [4,5,3,1,6,2]=>11 [4,5,3,2,1,6]=>5 [4,5,3,2,6,1]=>11 [4,5,3,6,1,2]=>11 [4,5,3,6,2,1]=>11 [4,5,6,1,2,3]=>6 [4,5,6,1,3,2]=>9 [4,5,6,2,1,3]=>6 [4,5,6,2,3,1]=>9 [4,5,6,3,1,2]=>6 [4,5,6,3,2,1]=>6 [4,6,1,2,3,5]=>6 [4,6,1,2,5,3]=>11 [4,6,1,3,2,5]=>9 [4,6,1,3,5,2]=>11 [4,6,1,5,2,3]=>11 [4,6,1,5,3,2]=>11 [4,6,2,1,3,5]=>6 [4,6,2,1,5,3]=>11 [4,6,2,3,1,5]=>9 [4,6,2,3,5,1]=>11 [4,6,2,5,1,3]=>11 [4,6,2,5,3,1]=>11 [4,6,3,1,2,5]=>6 [4,6,3,1,5,2]=>11 [4,6,3,2,1,5]=>6 [4,6,3,2,5,1]=>11 [4,6,3,5,1,2]=>11 [4,6,3,5,2,1]=>11 [4,6,5,1,2,3]=>6 [4,6,5,1,3,2]=>9 [4,6,5,2,1,3]=>6 [4,6,5,2,3,1]=>9 [4,6,5,3,1,2]=>6 [4,6,5,3,2,1]=>6 [5,1,2,3,4,6]=>0 [5,1,2,3,6,4]=>6 [5,1,2,4,3,6]=>4 [5,1,2,4,6,3]=>6 [5,1,2,6,3,4]=>6 [5,1,2,6,4,3]=>6 [5,1,3,2,4,6]=>3 [5,1,3,2,6,4]=>9 [5,1,3,4,2,6]=>4 [5,1,3,4,6,2]=>6 [5,1,3,6,2,4]=>6 [5,1,3,6,4,2]=>6 [5,1,4,2,3,6]=>4 [5,1,4,2,6,3]=>10 [5,1,4,3,2,6]=>4 [5,1,4,3,6,2]=>10 [5,1,4,6,2,3]=>6 [5,1,4,6,3,2]=>6 [5,1,6,2,3,4]=>6 [5,1,6,2,4,3]=>10 [5,1,6,3,2,4]=>6 [5,1,6,3,4,2]=>10 [5,1,6,4,2,3]=>6 [5,1,6,4,3,2]=>6 [5,2,1,3,4,6]=>0 [5,2,1,3,6,4]=>6 [5,2,1,4,3,6]=>4 [5,2,1,4,6,3]=>6 [5,2,1,6,3,4]=>6 [5,2,1,6,4,3]=>6 [5,2,3,1,4,6]=>3 [5,2,3,1,6,4]=>9 [5,2,3,4,1,6]=>4 [5,2,3,4,6,1]=>6 [5,2,3,6,1,4]=>6 [5,2,3,6,4,1]=>6 [5,2,4,1,3,6]=>4 [5,2,4,1,6,3]=>10 [5,2,4,3,1,6]=>4 [5,2,4,3,6,1]=>10 [5,2,4,6,1,3]=>6 [5,2,4,6,3,1]=>6 [5,2,6,1,3,4]=>6 [5,2,6,1,4,3]=>10 [5,2,6,3,1,4]=>6 [5,2,6,3,4,1]=>10 [5,2,6,4,1,3]=>6 [5,2,6,4,3,1]=>6 [5,3,1,2,4,6]=>0 [5,3,1,2,6,4]=>6 [5,3,1,4,2,6]=>4 [5,3,1,4,6,2]=>6 [5,3,1,6,2,4]=>6 [5,3,1,6,4,2]=>6 [5,3,2,1,4,6]=>0 [5,3,2,1,6,4]=>6 [5,3,2,4,1,6]=>4 [5,3,2,4,6,1]=>6 [5,3,2,6,1,4]=>6 [5,3,2,6,4,1]=>6 [5,3,4,1,2,6]=>4 [5,3,4,1,6,2]=>10 [5,3,4,2,1,6]=>4 [5,3,4,2,6,1]=>10 [5,3,4,6,1,2]=>6 [5,3,4,6,2,1]=>6 [5,3,6,1,2,4]=>6 [5,3,6,1,4,2]=>10 [5,3,6,2,1,4]=>6 [5,3,6,2,4,1]=>10 [5,3,6,4,1,2]=>6 [5,3,6,4,2,1]=>6 [5,4,1,2,3,6]=>0 [5,4,1,2,6,3]=>6 [5,4,1,3,2,6]=>3 [5,4,1,3,6,2]=>6 [5,4,1,6,2,3]=>6 [5,4,1,6,3,2]=>6 [5,4,2,1,3,6]=>0 [5,4,2,1,6,3]=>6 [5,4,2,3,1,6]=>3 [5,4,2,3,6,1]=>6 [5,4,2,6,1,3]=>6 [5,4,2,6,3,1]=>6 [5,4,3,1,2,6]=>0 [5,4,3,1,6,2]=>6 [5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>6 [5,4,3,6,1,2]=>6 [5,4,3,6,2,1]=>6 [5,4,6,1,2,3]=>6 [5,4,6,1,3,2]=>9 [5,4,6,2,1,3]=>6 [5,4,6,2,3,1]=>9 [5,4,6,3,1,2]=>6 [5,4,6,3,2,1]=>6 [5,6,1,2,3,4]=>6 [5,6,1,2,4,3]=>10 [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]=>10 [5,6,2,1,3,4]=>6 [5,6,2,1,4,3]=>10 [5,6,2,3,1,4]=>9 [5,6,2,3,4,1]=>10 [5,6,2,4,1,3]=>10 [5,6,2,4,3,1]=>10 [5,6,3,1,2,4]=>6 [5,6,3,1,4,2]=>10 [5,6,3,2,1,4]=>6 [5,6,3,2,4,1]=>10 [5,6,3,4,1,2]=>10 [5,6,3,4,2,1]=>10 [5,6,4,1,2,3]=>6 [5,6,4,1,3,2]=>9 [5,6,4,2,1,3]=>6 [5,6,4,2,3,1]=>9 [5,6,4,3,1,2]=>6 [5,6,4,3,2,1]=>6 [6,1,2,3,4,5]=>0 [6,1,2,3,5,4]=>5 [6,1,2,4,3,5]=>4 [6,1,2,4,5,3]=>5 [6,1,2,5,3,4]=>5 [6,1,2,5,4,3]=>5 [6,1,3,2,4,5]=>3 [6,1,3,2,5,4]=>8 [6,1,3,4,2,5]=>4 [6,1,3,4,5,2]=>5 [6,1,3,5,2,4]=>5 [6,1,3,5,4,2]=>5 [6,1,4,2,3,5]=>4 [6,1,4,2,5,3]=>9 [6,1,4,3,2,5]=>4 [6,1,4,3,5,2]=>9 [6,1,4,5,2,3]=>5 [6,1,4,5,3,2]=>5 [6,1,5,2,3,4]=>5 [6,1,5,2,4,3]=>9 [6,1,5,3,2,4]=>5 [6,1,5,3,4,2]=>9 [6,1,5,4,2,3]=>5 [6,1,5,4,3,2]=>5 [6,2,1,3,4,5]=>0 [6,2,1,3,5,4]=>5 [6,2,1,4,3,5]=>4 [6,2,1,4,5,3]=>5 [6,2,1,5,3,4]=>5 [6,2,1,5,4,3]=>5 [6,2,3,1,4,5]=>3 [6,2,3,1,5,4]=>8 [6,2,3,4,1,5]=>4 [6,2,3,4,5,1]=>5 [6,2,3,5,1,4]=>5 [6,2,3,5,4,1]=>5 [6,2,4,1,3,5]=>4 [6,2,4,1,5,3]=>9 [6,2,4,3,1,5]=>4 [6,2,4,3,5,1]=>9 [6,2,4,5,1,3]=>5 [6,2,4,5,3,1]=>5 [6,2,5,1,3,4]=>5 [6,2,5,1,4,3]=>9 [6,2,5,3,1,4]=>5 [6,2,5,3,4,1]=>9 [6,2,5,4,1,3]=>5 [6,2,5,4,3,1]=>5 [6,3,1,2,4,5]=>0 [6,3,1,2,5,4]=>5 [6,3,1,4,2,5]=>4 [6,3,1,4,5,2]=>5 [6,3,1,5,2,4]=>5 [6,3,1,5,4,2]=>5 [6,3,2,1,4,5]=>0 [6,3,2,1,5,4]=>5 [6,3,2,4,1,5]=>4 [6,3,2,4,5,1]=>5 [6,3,2,5,1,4]=>5 [6,3,2,5,4,1]=>5 [6,3,4,1,2,5]=>4 [6,3,4,1,5,2]=>9 [6,3,4,2,1,5]=>4 [6,3,4,2,5,1]=>9 [6,3,4,5,1,2]=>5 [6,3,4,5,2,1]=>5 [6,3,5,1,2,4]=>5 [6,3,5,1,4,2]=>9 [6,3,5,2,1,4]=>5 [6,3,5,2,4,1]=>9 [6,3,5,4,1,2]=>5 [6,3,5,4,2,1]=>5 [6,4,1,2,3,5]=>0 [6,4,1,2,5,3]=>5 [6,4,1,3,2,5]=>3 [6,4,1,3,5,2]=>5 [6,4,1,5,2,3]=>5 [6,4,1,5,3,2]=>5 [6,4,2,1,3,5]=>0 [6,4,2,1,5,3]=>5 [6,4,2,3,1,5]=>3 [6,4,2,3,5,1]=>5 [6,4,2,5,1,3]=>5 [6,4,2,5,3,1]=>5 [6,4,3,1,2,5]=>0 [6,4,3,1,5,2]=>5 [6,4,3,2,1,5]=>0 [6,4,3,2,5,1]=>5 [6,4,3,5,1,2]=>5 [6,4,3,5,2,1]=>5 [6,4,5,1,2,3]=>5 [6,4,5,1,3,2]=>8 [6,4,5,2,1,3]=>5 [6,4,5,2,3,1]=>8 [6,4,5,3,1,2]=>5 [6,4,5,3,2,1]=>5 [6,5,1,2,3,4]=>0 [6,5,1,2,4,3]=>4 [6,5,1,3,2,4]=>3 [6,5,1,3,4,2]=>4 [6,5,1,4,2,3]=>4 [6,5,1,4,3,2]=>4 [6,5,2,1,3,4]=>0 [6,5,2,1,4,3]=>4 [6,5,2,3,1,4]=>3 [6,5,2,3,4,1]=>4 [6,5,2,4,1,3]=>4 [6,5,2,4,3,1]=>4 [6,5,3,1,2,4]=>0 [6,5,3,1,4,2]=>4 [6,5,3,2,1,4]=>0 [6,5,3,2,4,1]=>4 [6,5,3,4,1,2]=>4 [6,5,3,4,2,1]=>4 [6,5,4,1,2,3]=>0 [6,5,4,1,3,2]=>3 [6,5,4,2,1,3]=>0 [6,5,4,2,3,1]=>3 [6,5,4,3,1,2]=>0 [6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>7 [1,2,3,4,6,5,7]=>6 [1,2,3,4,6,7,5]=>7 [1,2,3,4,7,5,6]=>7 [1,2,3,4,7,6,5]=>7 [1,2,3,5,4,6,7]=>5 [1,2,3,5,4,7,6]=>12 [1,2,3,5,6,4,7]=>6 [1,2,3,5,6,7,4]=>7 [1,2,3,5,7,4,6]=>7 [1,2,3,5,7,6,4]=>7 [1,2,3,6,4,5,7]=>6 [1,2,3,6,4,7,5]=>13 [1,2,3,6,5,4,7]=>6 [1,2,3,6,5,7,4]=>13 [1,2,3,6,7,4,5]=>7 [1,2,3,6,7,5,4]=>7 [1,2,3,7,4,5,6]=>7 [1,2,3,7,4,6,5]=>13 [1,2,3,7,5,4,6]=>7 [1,2,3,7,5,6,4]=>13 [1,2,3,7,6,4,5]=>7 [1,2,3,7,6,5,4]=>7 [1,2,4,3,5,6,7]=>4 [1,2,4,3,5,7,6]=>11 [1,2,4,3,6,5,7]=>10 [1,2,4,3,6,7,5]=>11 [1,2,4,3,7,5,6]=>11 [1,2,4,3,7,6,5]=>11 [1,2,4,5,3,6,7]=>5 [1,2,4,5,3,7,6]=>12 [1,2,4,5,6,3,7]=>6 [1,2,4,5,6,7,3]=>7 [1,2,4,5,7,3,6]=>7 [1,2,4,5,7,6,3]=>7 [1,2,4,6,3,5,7]=>6 [1,2,4,6,3,7,5]=>13 [1,2,4,6,5,3,7]=>6 [1,2,4,6,5,7,3]=>13 [1,2,4,6,7,3,5]=>7 [1,2,4,6,7,5,3]=>7 [1,2,4,7,3,5,6]=>7 [1,2,4,7,3,6,5]=>13 [1,2,4,7,5,3,6]=>7 [1,2,4,7,5,6,3]=>13 [1,2,4,7,6,3,5]=>7 [1,2,4,7,6,5,3]=>7 [1,2,5,3,4,6,7]=>5 [1,2,5,3,4,7,6]=>12 [1,2,5,3,6,4,7]=>11 [1,2,5,3,6,7,4]=>12 [1,2,5,3,7,4,6]=>12 [1,2,5,3,7,6,4]=>12 [1,2,5,4,3,6,7]=>5 [1,2,5,4,3,7,6]=>12 [1,2,5,4,6,3,7]=>11 [1,2,5,4,6,7,3]=>12 [1,2,5,4,7,3,6]=>12 [1,2,5,4,7,6,3]=>12 [1,2,5,6,3,4,7]=>6 [1,2,5,6,3,7,4]=>13 [1,2,5,6,4,3,7]=>6 [1,2,5,6,4,7,3]=>13 [1,2,5,6,7,3,4]=>7 [1,2,5,6,7,4,3]=>7 [1,2,5,7,3,4,6]=>7 [1,2,5,7,3,6,4]=>13 [1,2,5,7,4,3,6]=>7 [1,2,5,7,4,6,3]=>13 [1,2,5,7,6,3,4]=>7 [1,2,5,7,6,4,3]=>7 [1,2,6,3,4,5,7]=>6 [1,2,6,3,4,7,5]=>13 [1,2,6,3,5,4,7]=>11 [1,2,6,3,5,7,4]=>13 [1,2,6,3,7,4,5]=>13 [1,2,6,3,7,5,4]=>13 [1,2,6,4,3,5,7]=>6 [1,2,6,4,3,7,5]=>13 [1,2,6,4,5,3,7]=>11 [1,2,6,4,5,7,3]=>13 [1,2,6,4,7,3,5]=>13 [1,2,6,4,7,5,3]=>13 [1,2,6,5,3,4,7]=>6 [1,2,6,5,3,7,4]=>13 [1,2,6,5,4,3,7]=>6 [1,2,6,5,4,7,3]=>13 [1,2,6,5,7,3,4]=>13 [1,2,6,5,7,4,3]=>13 [1,2,6,7,3,4,5]=>7 [1,2,6,7,3,5,4]=>12 [1,2,6,7,4,3,5]=>7 [1,2,6,7,4,5,3]=>12 [1,2,6,7,5,3,4]=>7 [1,2,6,7,5,4,3]=>7 [1,2,7,3,4,5,6]=>7 [1,2,7,3,4,6,5]=>13 [1,2,7,3,5,4,6]=>12 [1,2,7,3,5,6,4]=>13 [1,2,7,3,6,4,5]=>13 [1,2,7,3,6,5,4]=>13 [1,2,7,4,3,5,6]=>7 [1,2,7,4,3,6,5]=>13 [1,2,7,4,5,3,6]=>12 [1,2,7,4,5,6,3]=>13 [1,2,7,4,6,3,5]=>13 [1,2,7,4,6,5,3]=>13 [1,2,7,5,3,4,6]=>7 [1,2,7,5,3,6,4]=>13 [1,2,7,5,4,3,6]=>7 [1,2,7,5,4,6,3]=>13 [1,2,7,5,6,3,4]=>13 [1,2,7,5,6,4,3]=>13 [1,2,7,6,3,4,5]=>7 [1,2,7,6,3,5,4]=>12 [1,2,7,6,4,3,5]=>7 [1,2,7,6,4,5,3]=>12 [1,2,7,6,5,3,4]=>7 [1,2,7,6,5,4,3]=>7 [1,3,2,4,5,6,7]=>3 [1,3,2,4,5,7,6]=>10 [1,3,2,4,6,5,7]=>9 [1,3,2,4,6,7,5]=>10 [1,3,2,4,7,5,6]=>10 [1,3,2,4,7,6,5]=>10 [1,3,2,5,4,6,7]=>8 [1,3,2,5,4,7,6]=>15 [1,3,2,5,6,4,7]=>9 [1,3,2,5,6,7,4]=>10 [1,3,2,5,7,4,6]=>10 [1,3,2,5,7,6,4]=>10 [1,3,2,6,4,5,7]=>9 [1,3,2,6,4,7,5]=>16 [1,3,2,6,5,4,7]=>9 [1,3,2,6,5,7,4]=>16 [1,3,2,6,7,4,5]=>10 [1,3,2,6,7,5,4]=>10 [1,3,2,7,4,5,6]=>10 [1,3,2,7,4,6,5]=>16 [1,3,2,7,5,4,6]=>10 [1,3,2,7,5,6,4]=>16 [1,3,2,7,6,4,5]=>10 [1,3,2,7,6,5,4]=>10 [1,3,4,2,5,6,7]=>4 [1,3,4,2,5,7,6]=>11 [1,3,4,2,6,5,7]=>10 [1,3,4,2,6,7,5]=>11 [1,3,4,2,7,5,6]=>11 [1,3,4,2,7,6,5]=>11 [1,3,4,5,2,6,7]=>5 [1,3,4,5,2,7,6]=>12 [1,3,4,5,6,2,7]=>6 [1,3,4,5,6,7,2]=>7 [1,3,4,5,7,2,6]=>7 [1,3,4,5,7,6,2]=>7 [1,3,4,6,2,5,7]=>6 [1,3,4,6,2,7,5]=>13 [1,3,4,6,5,2,7]=>6 [1,3,4,6,5,7,2]=>13 [1,3,4,6,7,2,5]=>7 [1,3,4,6,7,5,2]=>7 [1,3,4,7,2,5,6]=>7 [1,3,4,7,2,6,5]=>13 [1,3,4,7,5,2,6]=>7 [1,3,4,7,5,6,2]=>13 [1,3,4,7,6,2,5]=>7 [1,3,4,7,6,5,2]=>7 [1,3,5,2,4,6,7]=>5 [1,3,5,2,4,7,6]=>12 [1,3,5,2,6,4,7]=>11 [1,3,5,2,6,7,4]=>12 [1,3,5,2,7,4,6]=>12 [1,3,5,2,7,6,4]=>12 [1,3,5,4,2,6,7]=>5 [1,3,5,4,2,7,6]=>12 [1,3,5,4,6,2,7]=>11 [1,3,5,4,6,7,2]=>12 [1,3,5,4,7,2,6]=>12 [1,3,5,4,7,6,2]=>12 [1,3,5,6,2,4,7]=>6 [1,3,5,6,2,7,4]=>13 [1,3,5,6,4,2,7]=>6 [1,3,5,6,4,7,2]=>13 [1,3,5,6,7,2,4]=>7 [1,3,5,6,7,4,2]=>7 [1,3,5,7,2,4,6]=>7 [1,3,5,7,2,6,4]=>13 [1,3,5,7,4,2,6]=>7 [1,3,5,7,4,6,2]=>13 [1,3,5,7,6,2,4]=>7 [1,3,5,7,6,4,2]=>7 [1,3,6,2,4,5,7]=>6 [1,3,6,2,4,7,5]=>13 [1,3,6,2,5,4,7]=>11 [1,3,6,2,5,7,4]=>13 [1,3,6,2,7,4,5]=>13 [1,3,6,2,7,5,4]=>13 [1,3,6,4,2,5,7]=>6 [1,3,6,4,2,7,5]=>13 [1,3,6,4,5,2,7]=>11 [1,3,6,4,5,7,2]=>13 [1,3,6,4,7,2,5]=>13 [1,3,6,4,7,5,2]=>13 [1,3,6,5,2,4,7]=>6 [1,3,6,5,2,7,4]=>13 [1,3,6,5,4,2,7]=>6 [1,3,6,5,4,7,2]=>13 [1,3,6,5,7,2,4]=>13 [1,3,6,5,7,4,2]=>13 [1,3,6,7,2,4,5]=>7 [1,3,6,7,2,5,4]=>12 [1,3,6,7,4,2,5]=>7 [1,3,6,7,4,5,2]=>12 [1,3,6,7,5,2,4]=>7 [1,3,6,7,5,4,2]=>7 [1,3,7,2,4,5,6]=>7 [1,3,7,2,4,6,5]=>13 [1,3,7,2,5,4,6]=>12 [1,3,7,2,5,6,4]=>13 [1,3,7,2,6,4,5]=>13 [1,3,7,2,6,5,4]=>13 [1,3,7,4,2,5,6]=>7 [1,3,7,4,2,6,5]=>13 [1,3,7,4,5,2,6]=>12 [1,3,7,4,5,6,2]=>13 [1,3,7,4,6,2,5]=>13 [1,3,7,4,6,5,2]=>13 [1,3,7,5,2,4,6]=>7 [1,3,7,5,2,6,4]=>13 [1,3,7,5,4,2,6]=>7 [1,3,7,5,4,6,2]=>13 [1,3,7,5,6,2,4]=>13 [1,3,7,5,6,4,2]=>13 [1,3,7,6,2,4,5]=>7 [1,3,7,6,2,5,4]=>12 [1,3,7,6,4,2,5]=>7 [1,3,7,6,4,5,2]=>12 [1,3,7,6,5,2,4]=>7 [1,3,7,6,5,4,2]=>7 [1,4,2,3,5,6,7]=>4 [1,4,2,3,5,7,6]=>11 [1,4,2,3,6,5,7]=>10 [1,4,2,3,6,7,5]=>11 [1,4,2,3,7,5,6]=>11 [1,4,2,3,7,6,5]=>11 [1,4,2,5,3,6,7]=>9 [1,4,2,5,3,7,6]=>16 [1,4,2,5,6,3,7]=>10 [1,4,2,5,6,7,3]=>11 [1,4,2,5,7,3,6]=>11 [1,4,2,5,7,6,3]=>11 [1,4,2,6,3,5,7]=>10 [1,4,2,6,3,7,5]=>17 [1,4,2,6,5,3,7]=>10 [1,4,2,6,5,7,3]=>17 [1,4,2,6,7,3,5]=>11 [1,4,2,6,7,5,3]=>11 [1,4,2,7,3,5,6]=>11 [1,4,2,7,3,6,5]=>17 [1,4,2,7,5,3,6]=>11 [1,4,2,7,5,6,3]=>17 [1,4,2,7,6,3,5]=>11 [1,4,2,7,6,5,3]=>11 [1,4,3,2,5,6,7]=>4 [1,4,3,2,5,7,6]=>11 [1,4,3,2,6,5,7]=>10 [1,4,3,2,6,7,5]=>11 [1,4,3,2,7,5,6]=>11 [1,4,3,2,7,6,5]=>11 [1,4,3,5,2,6,7]=>9 [1,4,3,5,2,7,6]=>16 [1,4,3,5,6,2,7]=>10 [1,4,3,5,6,7,2]=>11 [1,4,3,5,7,2,6]=>11 [1,4,3,5,7,6,2]=>11 [1,4,3,6,2,5,7]=>10 [1,4,3,6,2,7,5]=>17 [1,4,3,6,5,2,7]=>10 [1,4,3,6,5,7,2]=>17 [1,4,3,6,7,2,5]=>11 [1,4,3,6,7,5,2]=>11 [1,4,3,7,2,5,6]=>11 [1,4,3,7,2,6,5]=>17 [1,4,3,7,5,2,6]=>11 [1,4,3,7,5,6,2]=>17 [1,4,3,7,6,2,5]=>11 [1,4,3,7,6,5,2]=>11 [1,4,5,2,3,6,7]=>5 [1,4,5,2,3,7,6]=>12 [1,4,5,2,6,3,7]=>11 [1,4,5,2,6,7,3]=>12 [1,4,5,2,7,3,6]=>12 [1,4,5,2,7,6,3]=>12 [1,4,5,3,2,6,7]=>5 [1,4,5,3,2,7,6]=>12 [1,4,5,3,6,2,7]=>11 [1,4,5,3,6,7,2]=>12 [1,4,5,3,7,2,6]=>12 [1,4,5,3,7,6,2]=>12 [1,4,5,6,2,3,7]=>6 [1,4,5,6,2,7,3]=>13 [1,4,5,6,3,2,7]=>6 [1,4,5,6,3,7,2]=>13 [1,4,5,6,7,2,3]=>7 [1,4,5,6,7,3,2]=>7 [1,4,5,7,2,3,6]=>7 [1,4,5,7,2,6,3]=>13 [1,4,5,7,3,2,6]=>7 [1,4,5,7,3,6,2]=>13 [1,4,5,7,6,2,3]=>7 [1,4,5,7,6,3,2]=>7 [1,4,6,2,3,5,7]=>6 [1,4,6,2,3,7,5]=>13 [1,4,6,2,5,3,7]=>11 [1,4,6,2,5,7,3]=>13 [1,4,6,2,7,3,5]=>13 [1,4,6,2,7,5,3]=>13 [1,4,6,3,2,5,7]=>6 [1,4,6,3,2,7,5]=>13 [1,4,6,3,5,2,7]=>11 [1,4,6,3,5,7,2]=>13 [1,4,6,3,7,2,5]=>13 [1,4,6,3,7,5,2]=>13 [1,4,6,5,2,3,7]=>6 [1,4,6,5,2,7,3]=>13 [1,4,6,5,3,2,7]=>6
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Description
The pinnacle sum of a permutation.
This is, the sum of the pinnacles (peak values) given by
$$\sum_{i \text{ peak of } \sigma} \sigma(i).$$
References
[1] Davis, R., Nelson, S. A., Petersen, T. K., Tenner, B. E. The pinnacle set of a permutation arXiv:1704.05494
Code
def statistic(pi):
    return sum( pi[i] for i in pi.peaks() )

Created
Feb 17, 2020 at 09:20 by Christian Stump
Updated
Feb 17, 2020 at 09:20 by Christian Stump