edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>0 [2,1]=>2 [1,2,3]=>0 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>4 [3,1,2]=>4 [3,2,1]=>4 [1,2,3,4]=>0 [1,2,4,3]=>2 [1,3,2,4]=>2 [1,3,4,2]=>4 [1,4,2,3]=>4 [1,4,3,2]=>4 [2,1,3,4]=>2 [2,1,4,3]=>4 [2,3,1,4]=>4 [2,3,4,1]=>6 [2,4,1,3]=>6 [2,4,3,1]=>6 [3,1,2,4]=>4 [3,1,4,2]=>6 [3,2,1,4]=>4 [3,2,4,1]=>6 [3,4,1,2]=>8 [3,4,2,1]=>8 [4,1,2,3]=>6 [4,1,3,2]=>6 [4,2,1,3]=>6 [4,2,3,1]=>6 [4,3,1,2]=>8 [4,3,2,1]=>8 [1,2,3,4,5]=>0 [1,2,3,5,4]=>2 [1,2,4,3,5]=>2 [1,2,4,5,3]=>4 [1,2,5,3,4]=>4 [1,2,5,4,3]=>4 [1,3,2,4,5]=>2 [1,3,2,5,4]=>4 [1,3,4,2,5]=>4 [1,3,4,5,2]=>6 [1,3,5,2,4]=>6 [1,3,5,4,2]=>6 [1,4,2,3,5]=>4 [1,4,2,5,3]=>6 [1,4,3,2,5]=>4 [1,4,3,5,2]=>6 [1,4,5,2,3]=>8 [1,4,5,3,2]=>8 [1,5,2,3,4]=>6 [1,5,2,4,3]=>6 [1,5,3,2,4]=>6 [1,5,3,4,2]=>6 [1,5,4,2,3]=>8 [1,5,4,3,2]=>8 [2,1,3,4,5]=>2 [2,1,3,5,4]=>4 [2,1,4,3,5]=>4 [2,1,4,5,3]=>6 [2,1,5,3,4]=>6 [2,1,5,4,3]=>6 [2,3,1,4,5]=>4 [2,3,1,5,4]=>6 [2,3,4,1,5]=>6 [2,3,4,5,1]=>8 [2,3,5,1,4]=>8 [2,3,5,4,1]=>8 [2,4,1,3,5]=>6 [2,4,1,5,3]=>8 [2,4,3,1,5]=>6 [2,4,3,5,1]=>8 [2,4,5,1,3]=>10 [2,4,5,3,1]=>10 [2,5,1,3,4]=>8 [2,5,1,4,3]=>8 [2,5,3,1,4]=>8 [2,5,3,4,1]=>8 [2,5,4,1,3]=>10 [2,5,4,3,1]=>10 [3,1,2,4,5]=>4 [3,1,2,5,4]=>6 [3,1,4,2,5]=>6 [3,1,4,5,2]=>8 [3,1,5,2,4]=>8 [3,1,5,4,2]=>8 [3,2,1,4,5]=>4 [3,2,1,5,4]=>6 [3,2,4,1,5]=>6 [3,2,4,5,1]=>8 [3,2,5,1,4]=>8 [3,2,5,4,1]=>8 [3,4,1,2,5]=>8 [3,4,1,5,2]=>10 [3,4,2,1,5]=>8 [3,4,2,5,1]=>10 [3,4,5,1,2]=>12 [3,4,5,2,1]=>12 [3,5,1,2,4]=>10 [3,5,1,4,2]=>10 [3,5,2,1,4]=>10 [3,5,2,4,1]=>10 [3,5,4,1,2]=>12 [3,5,4,2,1]=>12 [4,1,2,3,5]=>6 [4,1,2,5,3]=>8 [4,1,3,2,5]=>6 [4,1,3,5,2]=>8 [4,1,5,2,3]=>10 [4,1,5,3,2]=>10 [4,2,1,3,5]=>6 [4,2,1,5,3]=>8 [4,2,3,1,5]=>6 [4,2,3,5,1]=>8 [4,2,5,1,3]=>10 [4,2,5,3,1]=>10 [4,3,1,2,5]=>8 [4,3,1,5,2]=>10 [4,3,2,1,5]=>8 [4,3,2,5,1]=>10 [4,3,5,1,2]=>12 [4,3,5,2,1]=>12 [4,5,1,2,3]=>12 [4,5,1,3,2]=>12 [4,5,2,1,3]=>12 [4,5,2,3,1]=>12 [4,5,3,1,2]=>12 [4,5,3,2,1]=>12 [5,1,2,3,4]=>8 [5,1,2,4,3]=>8 [5,1,3,2,4]=>8 [5,1,3,4,2]=>8 [5,1,4,2,3]=>10 [5,1,4,3,2]=>10 [5,2,1,3,4]=>8 [5,2,1,4,3]=>8 [5,2,3,1,4]=>8 [5,2,3,4,1]=>8 [5,2,4,1,3]=>10 [5,2,4,3,1]=>10 [5,3,1,2,4]=>10 [5,3,1,4,2]=>10 [5,3,2,1,4]=>10 [5,3,2,4,1]=>10 [5,3,4,1,2]=>12 [5,3,4,2,1]=>12 [5,4,1,2,3]=>12 [5,4,1,3,2]=>12 [5,4,2,1,3]=>12 [5,4,2,3,1]=>12 [5,4,3,1,2]=>12 [5,4,3,2,1]=>12 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>2 [1,2,3,5,4,6]=>2 [1,2,3,5,6,4]=>4 [1,2,3,6,4,5]=>4 [1,2,3,6,5,4]=>4 [1,2,4,3,5,6]=>2 [1,2,4,3,6,5]=>4 [1,2,4,5,3,6]=>4 [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]=>4 [1,2,5,3,6,4]=>6 [1,2,5,4,3,6]=>4 [1,2,5,4,6,3]=>6 [1,2,5,6,3,4]=>8 [1,2,5,6,4,3]=>8 [1,2,6,3,4,5]=>6 [1,2,6,3,5,4]=>6 [1,2,6,4,3,5]=>6 [1,2,6,4,5,3]=>6 [1,2,6,5,3,4]=>8 [1,2,6,5,4,3]=>8 [1,3,2,4,5,6]=>2 [1,3,2,4,6,5]=>4 [1,3,2,5,4,6]=>4 [1,3,2,5,6,4]=>6 [1,3,2,6,4,5]=>6 [1,3,2,6,5,4]=>6 [1,3,4,2,5,6]=>4 [1,3,4,2,6,5]=>6 [1,3,4,5,2,6]=>6 [1,3,4,5,6,2]=>8 [1,3,4,6,2,5]=>8 [1,3,4,6,5,2]=>8 [1,3,5,2,4,6]=>6 [1,3,5,2,6,4]=>8 [1,3,5,4,2,6]=>6 [1,3,5,4,6,2]=>8 [1,3,5,6,2,4]=>10 [1,3,5,6,4,2]=>10 [1,3,6,2,4,5]=>8 [1,3,6,2,5,4]=>8 [1,3,6,4,2,5]=>8 [1,3,6,4,5,2]=>8 [1,3,6,5,2,4]=>10 [1,3,6,5,4,2]=>10 [1,4,2,3,5,6]=>4 [1,4,2,3,6,5]=>6 [1,4,2,5,3,6]=>6 [1,4,2,5,6,3]=>8 [1,4,2,6,3,5]=>8 [1,4,2,6,5,3]=>8 [1,4,3,2,5,6]=>4 [1,4,3,2,6,5]=>6 [1,4,3,5,2,6]=>6 [1,4,3,5,6,2]=>8 [1,4,3,6,2,5]=>8 [1,4,3,6,5,2]=>8 [1,4,5,2,3,6]=>8 [1,4,5,2,6,3]=>10 [1,4,5,3,2,6]=>8 [1,4,5,3,6,2]=>10 [1,4,5,6,2,3]=>12 [1,4,5,6,3,2]=>12 [1,4,6,2,3,5]=>10 [1,4,6,2,5,3]=>10 [1,4,6,3,2,5]=>10 [1,4,6,3,5,2]=>10 [1,4,6,5,2,3]=>12 [1,4,6,5,3,2]=>12 [1,5,2,3,4,6]=>6 [1,5,2,3,6,4]=>8 [1,5,2,4,3,6]=>6 [1,5,2,4,6,3]=>8 [1,5,2,6,3,4]=>10 [1,5,2,6,4,3]=>10 [1,5,3,2,4,6]=>6 [1,5,3,2,6,4]=>8 [1,5,3,4,2,6]=>6 [1,5,3,4,6,2]=>8 [1,5,3,6,2,4]=>10 [1,5,3,6,4,2]=>10 [1,5,4,2,3,6]=>8 [1,5,4,2,6,3]=>10 [1,5,4,3,2,6]=>8 [1,5,4,3,6,2]=>10 [1,5,4,6,2,3]=>12 [1,5,4,6,3,2]=>12 [1,5,6,2,3,4]=>12 [1,5,6,2,4,3]=>12 [1,5,6,3,2,4]=>12 [1,5,6,3,4,2]=>12 [1,5,6,4,2,3]=>12 [1,5,6,4,3,2]=>12 [1,6,2,3,4,5]=>8 [1,6,2,3,5,4]=>8 [1,6,2,4,3,5]=>8 [1,6,2,4,5,3]=>8 [1,6,2,5,3,4]=>10 [1,6,2,5,4,3]=>10 [1,6,3,2,4,5]=>8 [1,6,3,2,5,4]=>8 [1,6,3,4,2,5]=>8 [1,6,3,4,5,2]=>8 [1,6,3,5,2,4]=>10 [1,6,3,5,4,2]=>10 [1,6,4,2,3,5]=>10 [1,6,4,2,5,3]=>10 [1,6,4,3,2,5]=>10 [1,6,4,3,5,2]=>10 [1,6,4,5,2,3]=>12 [1,6,4,5,3,2]=>12 [1,6,5,2,3,4]=>12 [1,6,5,2,4,3]=>12 [1,6,5,3,2,4]=>12 [1,6,5,3,4,2]=>12 [1,6,5,4,2,3]=>12 [1,6,5,4,3,2]=>12 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>4 [2,1,3,5,4,6]=>4 [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]=>6 [2,1,4,5,3,6]=>6 [2,1,4,5,6,3]=>8 [2,1,4,6,3,5]=>8 [2,1,4,6,5,3]=>8 [2,1,5,3,4,6]=>6 [2,1,5,3,6,4]=>8 [2,1,5,4,3,6]=>6 [2,1,5,4,6,3]=>8 [2,1,5,6,3,4]=>10 [2,1,5,6,4,3]=>10 [2,1,6,3,4,5]=>8 [2,1,6,3,5,4]=>8 [2,1,6,4,3,5]=>8 [2,1,6,4,5,3]=>8 [2,1,6,5,3,4]=>10 [2,1,6,5,4,3]=>10 [2,3,1,4,5,6]=>4 [2,3,1,4,6,5]=>6 [2,3,1,5,4,6]=>6 [2,3,1,5,6,4]=>8 [2,3,1,6,4,5]=>8 [2,3,1,6,5,4]=>8 [2,3,4,1,5,6]=>6 [2,3,4,1,6,5]=>8 [2,3,4,5,1,6]=>8 [2,3,4,5,6,1]=>10 [2,3,4,6,1,5]=>10 [2,3,4,6,5,1]=>10 [2,3,5,1,4,6]=>8 [2,3,5,1,6,4]=>10 [2,3,5,4,1,6]=>8 [2,3,5,4,6,1]=>10 [2,3,5,6,1,4]=>12 [2,3,5,6,4,1]=>12 [2,3,6,1,4,5]=>10 [2,3,6,1,5,4]=>10 [2,3,6,4,1,5]=>10 [2,3,6,4,5,1]=>10 [2,3,6,5,1,4]=>12 [2,3,6,5,4,1]=>12 [2,4,1,3,5,6]=>6 [2,4,1,3,6,5]=>8 [2,4,1,5,3,6]=>8 [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]=>6 [2,4,3,1,6,5]=>8 [2,4,3,5,1,6]=>8 [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]=>10 [2,4,5,1,6,3]=>12 [2,4,5,3,1,6]=>10 [2,4,5,3,6,1]=>12 [2,4,5,6,1,3]=>14 [2,4,5,6,3,1]=>14 [2,4,6,1,3,5]=>12 [2,4,6,1,5,3]=>12 [2,4,6,3,1,5]=>12 [2,4,6,3,5,1]=>12 [2,4,6,5,1,3]=>14 [2,4,6,5,3,1]=>14 [2,5,1,3,4,6]=>8 [2,5,1,3,6,4]=>10 [2,5,1,4,3,6]=>8 [2,5,1,4,6,3]=>10 [2,5,1,6,3,4]=>12 [2,5,1,6,4,3]=>12 [2,5,3,1,4,6]=>8 [2,5,3,1,6,4]=>10 [2,5,3,4,1,6]=>8 [2,5,3,4,6,1]=>10 [2,5,3,6,1,4]=>12 [2,5,3,6,4,1]=>12 [2,5,4,1,3,6]=>10 [2,5,4,1,6,3]=>12 [2,5,4,3,1,6]=>10 [2,5,4,3,6,1]=>12 [2,5,4,6,1,3]=>14 [2,5,4,6,3,1]=>14 [2,5,6,1,3,4]=>14 [2,5,6,1,4,3]=>14 [2,5,6,3,1,4]=>14 [2,5,6,3,4,1]=>14 [2,5,6,4,1,3]=>14 [2,5,6,4,3,1]=>14 [2,6,1,3,4,5]=>10 [2,6,1,3,5,4]=>10 [2,6,1,4,3,5]=>10 [2,6,1,4,5,3]=>10 [2,6,1,5,3,4]=>12 [2,6,1,5,4,3]=>12 [2,6,3,1,4,5]=>10 [2,6,3,1,5,4]=>10 [2,6,3,4,1,5]=>10 [2,6,3,4,5,1]=>10 [2,6,3,5,1,4]=>12 [2,6,3,5,4,1]=>12 [2,6,4,1,3,5]=>12 [2,6,4,1,5,3]=>12 [2,6,4,3,1,5]=>12 [2,6,4,3,5,1]=>12 [2,6,4,5,1,3]=>14 [2,6,4,5,3,1]=>14 [2,6,5,1,3,4]=>14 [2,6,5,1,4,3]=>14 [2,6,5,3,1,4]=>14 [2,6,5,3,4,1]=>14 [2,6,5,4,1,3]=>14 [2,6,5,4,3,1]=>14 [3,1,2,4,5,6]=>4 [3,1,2,4,6,5]=>6 [3,1,2,5,4,6]=>6 [3,1,2,5,6,4]=>8 [3,1,2,6,4,5]=>8 [3,1,2,6,5,4]=>8 [3,1,4,2,5,6]=>6 [3,1,4,2,6,5]=>8 [3,1,4,5,2,6]=>8 [3,1,4,5,6,2]=>10 [3,1,4,6,2,5]=>10 [3,1,4,6,5,2]=>10 [3,1,5,2,4,6]=>8 [3,1,5,2,6,4]=>10 [3,1,5,4,2,6]=>8 [3,1,5,4,6,2]=>10 [3,1,5,6,2,4]=>12 [3,1,5,6,4,2]=>12 [3,1,6,2,4,5]=>10 [3,1,6,2,5,4]=>10 [3,1,6,4,2,5]=>10 [3,1,6,4,5,2]=>10 [3,1,6,5,2,4]=>12 [3,1,6,5,4,2]=>12 [3,2,1,4,5,6]=>4 [3,2,1,4,6,5]=>6 [3,2,1,5,4,6]=>6 [3,2,1,5,6,4]=>8 [3,2,1,6,4,5]=>8 [3,2,1,6,5,4]=>8 [3,2,4,1,5,6]=>6 [3,2,4,1,6,5]=>8 [3,2,4,5,1,6]=>8 [3,2,4,5,6,1]=>10 [3,2,4,6,1,5]=>10 [3,2,4,6,5,1]=>10 [3,2,5,1,4,6]=>8 [3,2,5,1,6,4]=>10 [3,2,5,4,1,6]=>8 [3,2,5,4,6,1]=>10 [3,2,5,6,1,4]=>12 [3,2,5,6,4,1]=>12 [3,2,6,1,4,5]=>10 [3,2,6,1,5,4]=>10 [3,2,6,4,1,5]=>10 [3,2,6,4,5,1]=>10 [3,2,6,5,1,4]=>12 [3,2,6,5,4,1]=>12 [3,4,1,2,5,6]=>8 [3,4,1,2,6,5]=>10 [3,4,1,5,2,6]=>10 [3,4,1,5,6,2]=>12 [3,4,1,6,2,5]=>12 [3,4,1,6,5,2]=>12 [3,4,2,1,5,6]=>8 [3,4,2,1,6,5]=>10 [3,4,2,5,1,6]=>10 [3,4,2,5,6,1]=>12 [3,4,2,6,1,5]=>12 [3,4,2,6,5,1]=>12 [3,4,5,1,2,6]=>12 [3,4,5,1,6,2]=>14 [3,4,5,2,1,6]=>12 [3,4,5,2,6,1]=>14 [3,4,5,6,1,2]=>16 [3,4,5,6,2,1]=>16 [3,4,6,1,2,5]=>14 [3,4,6,1,5,2]=>14 [3,4,6,2,1,5]=>14 [3,4,6,2,5,1]=>14 [3,4,6,5,1,2]=>16 [3,4,6,5,2,1]=>16 [3,5,1,2,4,6]=>10 [3,5,1,2,6,4]=>12 [3,5,1,4,2,6]=>10 [3,5,1,4,6,2]=>12 [3,5,1,6,2,4]=>14 [3,5,1,6,4,2]=>14 [3,5,2,1,4,6]=>10 [3,5,2,1,6,4]=>12 [3,5,2,4,1,6]=>10 [3,5,2,4,6,1]=>12 [3,5,2,6,1,4]=>14 [3,5,2,6,4,1]=>14 [3,5,4,1,2,6]=>12 [3,5,4,1,6,2]=>14 [3,5,4,2,1,6]=>12 [3,5,4,2,6,1]=>14 [3,5,4,6,1,2]=>16 [3,5,4,6,2,1]=>16 [3,5,6,1,2,4]=>16 [3,5,6,1,4,2]=>16 [3,5,6,2,1,4]=>16 [3,5,6,2,4,1]=>16 [3,5,6,4,1,2]=>16 [3,5,6,4,2,1]=>16 [3,6,1,2,4,5]=>12 [3,6,1,2,5,4]=>12 [3,6,1,4,2,5]=>12 [3,6,1,4,5,2]=>12 [3,6,1,5,2,4]=>14 [3,6,1,5,4,2]=>14 [3,6,2,1,4,5]=>12 [3,6,2,1,5,4]=>12 [3,6,2,4,1,5]=>12 [3,6,2,4,5,1]=>12 [3,6,2,5,1,4]=>14 [3,6,2,5,4,1]=>14 [3,6,4,1,2,5]=>14 [3,6,4,1,5,2]=>14 [3,6,4,2,1,5]=>14 [3,6,4,2,5,1]=>14 [3,6,4,5,1,2]=>16 [3,6,4,5,2,1]=>16 [3,6,5,1,2,4]=>16 [3,6,5,1,4,2]=>16 [3,6,5,2,1,4]=>16 [3,6,5,2,4,1]=>16 [3,6,5,4,1,2]=>16 [3,6,5,4,2,1]=>16 [4,1,2,3,5,6]=>6 [4,1,2,3,6,5]=>8 [4,1,2,5,3,6]=>8 [4,1,2,5,6,3]=>10 [4,1,2,6,3,5]=>10 [4,1,2,6,5,3]=>10 [4,1,3,2,5,6]=>6 [4,1,3,2,6,5]=>8 [4,1,3,5,2,6]=>8 [4,1,3,5,6,2]=>10 [4,1,3,6,2,5]=>10 [4,1,3,6,5,2]=>10 [4,1,5,2,3,6]=>10 [4,1,5,2,6,3]=>12 [4,1,5,3,2,6]=>10 [4,1,5,3,6,2]=>12 [4,1,5,6,2,3]=>14 [4,1,5,6,3,2]=>14 [4,1,6,2,3,5]=>12 [4,1,6,2,5,3]=>12 [4,1,6,3,2,5]=>12 [4,1,6,3,5,2]=>12 [4,1,6,5,2,3]=>14 [4,1,6,5,3,2]=>14 [4,2,1,3,5,6]=>6 [4,2,1,3,6,5]=>8 [4,2,1,5,3,6]=>8 [4,2,1,5,6,3]=>10 [4,2,1,6,3,5]=>10 [4,2,1,6,5,3]=>10 [4,2,3,1,5,6]=>6 [4,2,3,1,6,5]=>8 [4,2,3,5,1,6]=>8 [4,2,3,5,6,1]=>10 [4,2,3,6,1,5]=>10 [4,2,3,6,5,1]=>10 [4,2,5,1,3,6]=>10 [4,2,5,1,6,3]=>12 [4,2,5,3,1,6]=>10 [4,2,5,3,6,1]=>12 [4,2,5,6,1,3]=>14 [4,2,5,6,3,1]=>14 [4,2,6,1,3,5]=>12 [4,2,6,1,5,3]=>12 [4,2,6,3,1,5]=>12 [4,2,6,3,5,1]=>12 [4,2,6,5,1,3]=>14 [4,2,6,5,3,1]=>14 [4,3,1,2,5,6]=>8 [4,3,1,2,6,5]=>10 [4,3,1,5,2,6]=>10 [4,3,1,5,6,2]=>12 [4,3,1,6,2,5]=>12 [4,3,1,6,5,2]=>12 [4,3,2,1,5,6]=>8 [4,3,2,1,6,5]=>10 [4,3,2,5,1,6]=>10 [4,3,2,5,6,1]=>12 [4,3,2,6,1,5]=>12 [4,3,2,6,5,1]=>12 [4,3,5,1,2,6]=>12 [4,3,5,1,6,2]=>14 [4,3,5,2,1,6]=>12 [4,3,5,2,6,1]=>14 [4,3,5,6,1,2]=>16 [4,3,5,6,2,1]=>16 [4,3,6,1,2,5]=>14 [4,3,6,1,5,2]=>14 [4,3,6,2,1,5]=>14 [4,3,6,2,5,1]=>14 [4,3,6,5,1,2]=>16 [4,3,6,5,2,1]=>16 [4,5,1,2,3,6]=>12 [4,5,1,2,6,3]=>14 [4,5,1,3,2,6]=>12 [4,5,1,3,6,2]=>14 [4,5,1,6,2,3]=>16 [4,5,1,6,3,2]=>16 [4,5,2,1,3,6]=>12 [4,5,2,1,6,3]=>14 [4,5,2,3,1,6]=>12 [4,5,2,3,6,1]=>14 [4,5,2,6,1,3]=>16 [4,5,2,6,3,1]=>16 [4,5,3,1,2,6]=>12 [4,5,3,1,6,2]=>14 [4,5,3,2,1,6]=>12 [4,5,3,2,6,1]=>14 [4,5,3,6,1,2]=>16 [4,5,3,6,2,1]=>16 [4,5,6,1,2,3]=>18 [4,5,6,1,3,2]=>18 [4,5,6,2,1,3]=>18 [4,5,6,2,3,1]=>18 [4,5,6,3,1,2]=>18 [4,5,6,3,2,1]=>18 [4,6,1,2,3,5]=>14 [4,6,1,2,5,3]=>14 [4,6,1,3,2,5]=>14 [4,6,1,3,5,2]=>14 [4,6,1,5,2,3]=>16 [4,6,1,5,3,2]=>16 [4,6,2,1,3,5]=>14 [4,6,2,1,5,3]=>14 [4,6,2,3,1,5]=>14 [4,6,2,3,5,1]=>14 [4,6,2,5,1,3]=>16 [4,6,2,5,3,1]=>16 [4,6,3,1,2,5]=>14 [4,6,3,1,5,2]=>14 [4,6,3,2,1,5]=>14 [4,6,3,2,5,1]=>14 [4,6,3,5,1,2]=>16 [4,6,3,5,2,1]=>16 [4,6,5,1,2,3]=>18 [4,6,5,1,3,2]=>18 [4,6,5,2,1,3]=>18 [4,6,5,2,3,1]=>18 [4,6,5,3,1,2]=>18 [4,6,5,3,2,1]=>18 [5,1,2,3,4,6]=>8 [5,1,2,3,6,4]=>10 [5,1,2,4,3,6]=>8 [5,1,2,4,6,3]=>10 [5,1,2,6,3,4]=>12 [5,1,2,6,4,3]=>12 [5,1,3,2,4,6]=>8 [5,1,3,2,6,4]=>10 [5,1,3,4,2,6]=>8 [5,1,3,4,6,2]=>10 [5,1,3,6,2,4]=>12 [5,1,3,6,4,2]=>12 [5,1,4,2,3,6]=>10 [5,1,4,2,6,3]=>12 [5,1,4,3,2,6]=>10 [5,1,4,3,6,2]=>12 [5,1,4,6,2,3]=>14 [5,1,4,6,3,2]=>14 [5,1,6,2,3,4]=>14 [5,1,6,2,4,3]=>14 [5,1,6,3,2,4]=>14 [5,1,6,3,4,2]=>14 [5,1,6,4,2,3]=>14 [5,1,6,4,3,2]=>14 [5,2,1,3,4,6]=>8 [5,2,1,3,6,4]=>10 [5,2,1,4,3,6]=>8 [5,2,1,4,6,3]=>10 [5,2,1,6,3,4]=>12 [5,2,1,6,4,3]=>12 [5,2,3,1,4,6]=>8 [5,2,3,1,6,4]=>10 [5,2,3,4,1,6]=>8 [5,2,3,4,6,1]=>10 [5,2,3,6,1,4]=>12 [5,2,3,6,4,1]=>12 [5,2,4,1,3,6]=>10 [5,2,4,1,6,3]=>12 [5,2,4,3,1,6]=>10 [5,2,4,3,6,1]=>12 [5,2,4,6,1,3]=>14 [5,2,4,6,3,1]=>14 [5,2,6,1,3,4]=>14 [5,2,6,1,4,3]=>14 [5,2,6,3,1,4]=>14 [5,2,6,3,4,1]=>14 [5,2,6,4,1,3]=>14 [5,2,6,4,3,1]=>14 [5,3,1,2,4,6]=>10 [5,3,1,2,6,4]=>12 [5,3,1,4,2,6]=>10 [5,3,1,4,6,2]=>12 [5,3,1,6,2,4]=>14 [5,3,1,6,4,2]=>14 [5,3,2,1,4,6]=>10 [5,3,2,1,6,4]=>12 [5,3,2,4,1,6]=>10 [5,3,2,4,6,1]=>12 [5,3,2,6,1,4]=>14 [5,3,2,6,4,1]=>14 [5,3,4,1,2,6]=>12 [5,3,4,1,6,2]=>14 [5,3,4,2,1,6]=>12 [5,3,4,2,6,1]=>14 [5,3,4,6,1,2]=>16 [5,3,4,6,2,1]=>16 [5,3,6,1,2,4]=>16 [5,3,6,1,4,2]=>16 [5,3,6,2,1,4]=>16 [5,3,6,2,4,1]=>16 [5,3,6,4,1,2]=>16 [5,3,6,4,2,1]=>16 [5,4,1,2,3,6]=>12 [5,4,1,2,6,3]=>14 [5,4,1,3,2,6]=>12 [5,4,1,3,6,2]=>14 [5,4,1,6,2,3]=>16 [5,4,1,6,3,2]=>16 [5,4,2,1,3,6]=>12 [5,4,2,1,6,3]=>14 [5,4,2,3,1,6]=>12 [5,4,2,3,6,1]=>14 [5,4,2,6,1,3]=>16 [5,4,2,6,3,1]=>16 [5,4,3,1,2,6]=>12 [5,4,3,1,6,2]=>14 [5,4,3,2,1,6]=>12 [5,4,3,2,6,1]=>14 [5,4,3,6,1,2]=>16 [5,4,3,6,2,1]=>16 [5,4,6,1,2,3]=>18 [5,4,6,1,3,2]=>18 [5,4,6,2,1,3]=>18 [5,4,6,2,3,1]=>18 [5,4,6,3,1,2]=>18 [5,4,6,3,2,1]=>18 [5,6,1,2,3,4]=>16 [5,6,1,2,4,3]=>16 [5,6,1,3,2,4]=>16 [5,6,1,3,4,2]=>16 [5,6,1,4,2,3]=>16 [5,6,1,4,3,2]=>16 [5,6,2,1,3,4]=>16 [5,6,2,1,4,3]=>16 [5,6,2,3,1,4]=>16 [5,6,2,3,4,1]=>16 [5,6,2,4,1,3]=>16 [5,6,2,4,3,1]=>16 [5,6,3,1,2,4]=>16 [5,6,3,1,4,2]=>16 [5,6,3,2,1,4]=>16 [5,6,3,2,4,1]=>16 [5,6,3,4,1,2]=>16 [5,6,3,4,2,1]=>16 [5,6,4,1,2,3]=>18 [5,6,4,1,3,2]=>18 [5,6,4,2,1,3]=>18 [5,6,4,2,3,1]=>18 [5,6,4,3,1,2]=>18 [5,6,4,3,2,1]=>18 [6,1,2,3,4,5]=>10 [6,1,2,3,5,4]=>10 [6,1,2,4,3,5]=>10 [6,1,2,4,5,3]=>10 [6,1,2,5,3,4]=>12 [6,1,2,5,4,3]=>12 [6,1,3,2,4,5]=>10 [6,1,3,2,5,4]=>10 [6,1,3,4,2,5]=>10 [6,1,3,4,5,2]=>10 [6,1,3,5,2,4]=>12 [6,1,3,5,4,2]=>12 [6,1,4,2,3,5]=>12 [6,1,4,2,5,3]=>12 [6,1,4,3,2,5]=>12 [6,1,4,3,5,2]=>12 [6,1,4,5,2,3]=>14 [6,1,4,5,3,2]=>14 [6,1,5,2,3,4]=>14 [6,1,5,2,4,3]=>14 [6,1,5,3,2,4]=>14 [6,1,5,3,4,2]=>14 [6,1,5,4,2,3]=>14 [6,1,5,4,3,2]=>14 [6,2,1,3,4,5]=>10 [6,2,1,3,5,4]=>10 [6,2,1,4,3,5]=>10 [6,2,1,4,5,3]=>10 [6,2,1,5,3,4]=>12 [6,2,1,5,4,3]=>12 [6,2,3,1,4,5]=>10 [6,2,3,1,5,4]=>10 [6,2,3,4,1,5]=>10 [6,2,3,4,5,1]=>10 [6,2,3,5,1,4]=>12 [6,2,3,5,4,1]=>12 [6,2,4,1,3,5]=>12 [6,2,4,1,5,3]=>12 [6,2,4,3,1,5]=>12 [6,2,4,3,5,1]=>12 [6,2,4,5,1,3]=>14 [6,2,4,5,3,1]=>14 [6,2,5,1,3,4]=>14 [6,2,5,1,4,3]=>14 [6,2,5,3,1,4]=>14 [6,2,5,3,4,1]=>14 [6,2,5,4,1,3]=>14 [6,2,5,4,3,1]=>14 [6,3,1,2,4,5]=>12 [6,3,1,2,5,4]=>12 [6,3,1,4,2,5]=>12 [6,3,1,4,5,2]=>12 [6,3,1,5,2,4]=>14 [6,3,1,5,4,2]=>14 [6,3,2,1,4,5]=>12 [6,3,2,1,5,4]=>12 [6,3,2,4,1,5]=>12 [6,3,2,4,5,1]=>12 [6,3,2,5,1,4]=>14 [6,3,2,5,4,1]=>14 [6,3,4,1,2,5]=>14 [6,3,4,1,5,2]=>14 [6,3,4,2,1,5]=>14 [6,3,4,2,5,1]=>14 [6,3,4,5,1,2]=>16 [6,3,4,5,2,1]=>16 [6,3,5,1,2,4]=>16 [6,3,5,1,4,2]=>16 [6,3,5,2,1,4]=>16 [6,3,5,2,4,1]=>16 [6,3,5,4,1,2]=>16 [6,3,5,4,2,1]=>16 [6,4,1,2,3,5]=>14 [6,4,1,2,5,3]=>14 [6,4,1,3,2,5]=>14 [6,4,1,3,5,2]=>14 [6,4,1,5,2,3]=>16 [6,4,1,5,3,2]=>16 [6,4,2,1,3,5]=>14 [6,4,2,1,5,3]=>14 [6,4,2,3,1,5]=>14 [6,4,2,3,5,1]=>14 [6,4,2,5,1,3]=>16 [6,4,2,5,3,1]=>16 [6,4,3,1,2,5]=>14 [6,4,3,1,5,2]=>14 [6,4,3,2,1,5]=>14 [6,4,3,2,5,1]=>14 [6,4,3,5,1,2]=>16 [6,4,3,5,2,1]=>16 [6,4,5,1,2,3]=>18 [6,4,5,1,3,2]=>18 [6,4,5,2,1,3]=>18 [6,4,5,2,3,1]=>18 [6,4,5,3,1,2]=>18 [6,4,5,3,2,1]=>18 [6,5,1,2,3,4]=>16 [6,5,1,2,4,3]=>16 [6,5,1,3,2,4]=>16 [6,5,1,3,4,2]=>16 [6,5,1,4,2,3]=>16 [6,5,1,4,3,2]=>16 [6,5,2,1,3,4]=>16 [6,5,2,1,4,3]=>16 [6,5,2,3,1,4]=>16 [6,5,2,3,4,1]=>16 [6,5,2,4,1,3]=>16 [6,5,2,4,3,1]=>16 [6,5,3,1,2,4]=>16 [6,5,3,1,4,2]=>16 [6,5,3,2,1,4]=>16 [6,5,3,2,4,1]=>16 [6,5,3,4,1,2]=>16 [6,5,3,4,2,1]=>16 [6,5,4,1,2,3]=>18 [6,5,4,1,3,2]=>18 [6,5,4,2,1,3]=>18 [6,5,4,2,3,1]=>18 [6,5,4,3,1,2]=>18 [6,5,4,3,2,1]=>18 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>2 [1,2,3,4,6,5,7]=>2 [1,2,3,4,6,7,5]=>4 [1,2,3,4,7,5,6]=>4 [1,2,3,4,7,6,5]=>4 [1,2,3,5,4,6,7]=>2 [1,2,3,5,4,7,6]=>4 [1,2,3,5,6,4,7]=>4 [1,2,3,5,6,7,4]=>6 [1,2,3,5,7,4,6]=>6 [1,2,3,5,7,6,4]=>6 [1,2,3,6,4,5,7]=>4 [1,2,3,6,4,7,5]=>6 [1,2,3,6,5,4,7]=>4 [1,2,3,6,5,7,4]=>6 [1,2,3,6,7,4,5]=>8 [1,2,3,6,7,5,4]=>8 [1,2,3,7,4,5,6]=>6 [1,2,3,7,4,6,5]=>6 [1,2,3,7,5,4,6]=>6 [1,2,3,7,5,6,4]=>6 [1,2,3,7,6,4,5]=>8 [1,2,3,7,6,5,4]=>8 [1,2,4,3,5,6,7]=>2 [1,2,4,3,5,7,6]=>4 [1,2,4,3,6,5,7]=>4 [1,2,4,3,6,7,5]=>6 [1,2,4,3,7,5,6]=>6 [1,2,4,3,7,6,5]=>6 [1,2,4,5,3,6,7]=>4 [1,2,4,5,3,7,6]=>6 [1,2,4,5,6,3,7]=>6 [1,2,4,5,6,7,3]=>8 [1,2,4,5,7,3,6]=>8 [1,2,4,5,7,6,3]=>8 [1,2,4,6,3,5,7]=>6 [1,2,4,6,3,7,5]=>8 [1,2,4,6,5,3,7]=>6 [1,2,4,6,5,7,3]=>8 [1,2,4,6,7,3,5]=>10 [1,2,4,6,7,5,3]=>10 [1,2,4,7,3,5,6]=>8 [1,2,4,7,3,6,5]=>8 [1,2,4,7,5,3,6]=>8 [1,2,4,7,5,6,3]=>8 [1,2,4,7,6,3,5]=>10 [1,2,4,7,6,5,3]=>10 [1,2,5,3,4,6,7]=>4 [1,2,5,3,4,7,6]=>6 [1,2,5,3,6,4,7]=>6 [1,2,5,3,6,7,4]=>8 [1,2,5,3,7,4,6]=>8 [1,2,5,3,7,6,4]=>8 [1,2,5,4,3,6,7]=>4 [1,2,5,4,3,7,6]=>6 [1,2,5,4,6,3,7]=>6 [1,2,5,4,6,7,3]=>8 [1,2,5,4,7,3,6]=>8 [1,2,5,4,7,6,3]=>8 [1,2,5,6,3,4,7]=>8 [1,2,5,6,3,7,4]=>10 [1,2,5,6,4,3,7]=>8 [1,2,5,6,4,7,3]=>10 [1,2,5,6,7,3,4]=>12 [1,2,5,6,7,4,3]=>12 [1,2,5,7,3,4,6]=>10 [1,2,5,7,3,6,4]=>10 [1,2,5,7,4,3,6]=>10 [1,2,5,7,4,6,3]=>10 [1,2,5,7,6,3,4]=>12 [1,2,5,7,6,4,3]=>12 [1,2,6,3,4,5,7]=>6 [1,2,6,3,4,7,5]=>8 [1,2,6,3,5,4,7]=>6 [1,2,6,3,5,7,4]=>8 [1,2,6,3,7,4,5]=>10 [1,2,6,3,7,5,4]=>10 [1,2,6,4,3,5,7]=>6 [1,2,6,4,3,7,5]=>8 [1,2,6,4,5,3,7]=>6 [1,2,6,4,5,7,3]=>8 [1,2,6,4,7,3,5]=>10 [1,2,6,4,7,5,3]=>10 [1,2,6,5,3,4,7]=>8 [1,2,6,5,3,7,4]=>10 [1,2,6,5,4,3,7]=>8 [1,2,6,5,4,7,3]=>10 [1,2,6,5,7,3,4]=>12 [1,2,6,5,7,4,3]=>12 [1,2,6,7,3,4,5]=>12 [1,2,6,7,3,5,4]=>12 [1,2,6,7,4,3,5]=>12 [1,2,6,7,4,5,3]=>12 [1,2,6,7,5,3,4]=>12 [1,2,6,7,5,4,3]=>12 [1,2,7,3,4,5,6]=>8 [1,2,7,3,4,6,5]=>8 [1,2,7,3,5,4,6]=>8 [1,2,7,3,5,6,4]=>8 [1,2,7,3,6,4,5]=>10 [1,2,7,3,6,5,4]=>10 [1,2,7,4,3,5,6]=>8 [1,2,7,4,3,6,5]=>8 [1,2,7,4,5,3,6]=>8 [1,2,7,4,5,6,3]=>8 [1,2,7,4,6,3,5]=>10 [1,2,7,4,6,5,3]=>10 [1,2,7,5,3,4,6]=>10 [1,2,7,5,3,6,4]=>10 [1,2,7,5,4,3,6]=>10 [1,2,7,5,4,6,3]=>10 [1,2,7,5,6,3,4]=>12 [1,2,7,5,6,4,3]=>12 [1,2,7,6,3,4,5]=>12 [1,2,7,6,3,5,4]=>12 [1,2,7,6,4,3,5]=>12 [1,2,7,6,4,5,3]=>12 [1,2,7,6,5,3,4]=>12 [1,2,7,6,5,4,3]=>12 [1,3,2,4,5,6,7]=>2 [1,3,2,4,5,7,6]=>4 [1,3,2,4,6,5,7]=>4 [1,3,2,4,6,7,5]=>6 [1,3,2,4,7,5,6]=>6 [1,3,2,4,7,6,5]=>6 [1,3,2,5,4,6,7]=>4 [1,3,2,5,4,7,6]=>6 [1,3,2,5,6,4,7]=>6 [1,3,2,5,6,7,4]=>8 [1,3,2,5,7,4,6]=>8 [1,3,2,5,7,6,4]=>8 [1,3,2,6,4,5,7]=>6 [1,3,2,6,4,7,5]=>8 [1,3,2,6,5,4,7]=>6 [1,3,2,6,5,7,4]=>8 [1,3,2,6,7,4,5]=>10 [1,3,2,6,7,5,4]=>10 [1,3,2,7,4,5,6]=>8 [1,3,2,7,4,6,5]=>8 [1,3,2,7,5,4,6]=>8 [1,3,2,7,5,6,4]=>8 [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]=>6 [1,3,4,2,6,5,7]=>6 [1,3,4,2,6,7,5]=>8 [1,3,4,2,7,5,6]=>8 [1,3,4,2,7,6,5]=>8 [1,3,4,5,2,6,7]=>6 [1,3,4,5,2,7,6]=>8 [1,3,4,5,6,2,7]=>8 [1,3,4,5,6,7,2]=>10 [1,3,4,5,7,2,6]=>10 [1,3,4,5,7,6,2]=>10 [1,3,4,6,2,5,7]=>8 [1,3,4,6,2,7,5]=>10 [1,3,4,6,5,2,7]=>8 [1,3,4,6,5,7,2]=>10 [1,3,4,6,7,2,5]=>12 [1,3,4,6,7,5,2]=>12 [1,3,4,7,2,5,6]=>10 [1,3,4,7,2,6,5]=>10 [1,3,4,7,5,2,6]=>10 [1,3,4,7,5,6,2]=>10 [1,3,4,7,6,2,5]=>12 [1,3,4,7,6,5,2]=>12 [1,3,5,2,4,6,7]=>6 [1,3,5,2,4,7,6]=>8 [1,3,5,2,6,4,7]=>8 [1,3,5,2,6,7,4]=>10 [1,3,5,2,7,4,6]=>10 [1,3,5,2,7,6,4]=>10 [1,3,5,4,2,6,7]=>6 [1,3,5,4,2,7,6]=>8 [1,3,5,4,6,2,7]=>8 [1,3,5,4,6,7,2]=>10 [1,3,5,4,7,2,6]=>10 [1,3,5,4,7,6,2]=>10 [1,3,5,6,2,4,7]=>10 [1,3,5,6,2,7,4]=>12 [1,3,5,6,4,2,7]=>10 [1,3,5,6,4,7,2]=>12 [1,3,5,6,7,2,4]=>14 [1,3,5,6,7,4,2]=>14 [1,3,5,7,2,4,6]=>12 [1,3,5,7,2,6,4]=>12 [1,3,5,7,4,2,6]=>12 [1,3,5,7,4,6,2]=>12 [1,3,5,7,6,2,4]=>14 [1,3,5,7,6,4,2]=>14 [1,3,6,2,4,5,7]=>8 [1,3,6,2,4,7,5]=>10 [1,3,6,2,5,4,7]=>8 [1,3,6,2,5,7,4]=>10 [1,3,6,2,7,4,5]=>12 [1,3,6,2,7,5,4]=>12 [1,3,6,4,2,5,7]=>8 [1,3,6,4,2,7,5]=>10 [1,3,6,4,5,2,7]=>8 [1,3,6,4,5,7,2]=>10 [1,3,6,4,7,2,5]=>12 [1,3,6,4,7,5,2]=>12 [1,3,6,5,2,4,7]=>10 [1,3,6,5,2,7,4]=>12 [1,3,6,5,4,2,7]=>10 [1,3,6,5,4,7,2]=>12 [1,3,6,5,7,2,4]=>14 [1,3,6,5,7,4,2]=>14 [1,3,6,7,2,4,5]=>14 [1,3,6,7,2,5,4]=>14 [1,3,6,7,4,2,5]=>14 [1,3,6,7,4,5,2]=>14 [1,3,6,7,5,2,4]=>14 [1,3,6,7,5,4,2]=>14 [1,3,7,2,4,5,6]=>10 [1,3,7,2,4,6,5]=>10 [1,3,7,2,5,4,6]=>10 [1,3,7,2,5,6,4]=>10 [1,3,7,2,6,4,5]=>12 [1,3,7,2,6,5,4]=>12 [1,3,7,4,2,5,6]=>10 [1,3,7,4,2,6,5]=>10 [1,3,7,4,5,2,6]=>10 [1,3,7,4,5,6,2]=>10 [1,3,7,4,6,2,5]=>12 [1,3,7,4,6,5,2]=>12 [1,3,7,5,2,4,6]=>12 [1,3,7,5,2,6,4]=>12 [1,3,7,5,4,2,6]=>12 [1,3,7,5,4,6,2]=>12 [1,3,7,5,6,2,4]=>14 [1,3,7,5,6,4,2]=>14 [1,3,7,6,2,4,5]=>14 [1,3,7,6,2,5,4]=>14 [1,3,7,6,4,2,5]=>14 [1,3,7,6,4,5,2]=>14 [1,3,7,6,5,2,4]=>14 [1,3,7,6,5,4,2]=>14 [1,4,2,3,5,6,7]=>4 [1,4,2,3,5,7,6]=>6 [1,4,2,3,6,5,7]=>6 [1,4,2,3,6,7,5]=>8 [1,4,2,3,7,5,6]=>8 [1,4,2,3,7,6,5]=>8 [1,4,2,5,3,6,7]=>6 [1,4,2,5,3,7,6]=>8 [1,4,2,5,6,3,7]=>8 [1,4,2,5,6,7,3]=>10 [1,4,2,5,7,3,6]=>10 [1,4,2,5,7,6,3]=>10 [1,4,2,6,3,5,7]=>8 [1,4,2,6,3,7,5]=>10 [1,4,2,6,5,3,7]=>8 [1,4,2,6,5,7,3]=>10 [1,4,2,6,7,3,5]=>12 [1,4,2,6,7,5,3]=>12 [1,4,2,7,3,5,6]=>10 [1,4,2,7,3,6,5]=>10 [1,4,2,7,5,3,6]=>10 [1,4,2,7,5,6,3]=>10 [1,4,2,7,6,3,5]=>12 [1,4,2,7,6,5,3]=>12 [1,4,3,2,5,6,7]=>4 [1,4,3,2,5,7,6]=>6 [1,4,3,2,6,5,7]=>6 [1,4,3,2,6,7,5]=>8 [1,4,3,2,7,5,6]=>8 [1,4,3,2,7,6,5]=>8 [1,4,3,5,2,6,7]=>6 [1,4,3,5,2,7,6]=>8 [1,4,3,5,6,2,7]=>8 [1,4,3,5,6,7,2]=>10 [1,4,3,5,7,2,6]=>10 [1,4,3,5,7,6,2]=>10 [1,4,3,6,2,5,7]=>8 [1,4,3,6,2,7,5]=>10 [1,4,3,6,5,2,7]=>8 [1,4,3,6,5,7,2]=>10 [1,4,3,6,7,2,5]=>12 [1,4,3,6,7,5,2]=>12 [1,4,3,7,2,5,6]=>10 [1,4,3,7,2,6,5]=>10 [1,4,3,7,5,2,6]=>10 [1,4,3,7,5,6,2]=>10 [1,4,3,7,6,2,5]=>12 [1,4,3,7,6,5,2]=>12 [1,4,5,2,3,6,7]=>8 [1,4,5,2,3,7,6]=>10 [1,4,5,2,6,3,7]=>10 [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]=>8 [1,4,5,3,2,7,6]=>10 [1,4,5,3,6,2,7]=>10 [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]=>12 [1,4,5,6,2,7,3]=>14 [1,4,5,6,3,2,7]=>12 [1,4,5,6,3,7,2]=>14 [1,4,5,6,7,2,3]=>16 [1,4,5,6,7,3,2]=>16 [1,4,5,7,2,3,6]=>14 [1,4,5,7,2,6,3]=>14 [1,4,5,7,3,2,6]=>14 [1,4,5,7,3,6,2]=>14 [1,4,5,7,6,2,3]=>16 [1,4,5,7,6,3,2]=>16 [1,4,6,2,3,5,7]=>10 [1,4,6,2,3,7,5]=>12 [1,4,6,2,5,3,7]=>10 [1,4,6,2,5,7,3]=>12 [1,4,6,2,7,3,5]=>14 [1,4,6,2,7,5,3]=>14 [1,4,6,3,2,5,7]=>10 [1,4,6,3,2,7,5]=>12 [1,4,6,3,5,2,7]=>10 [1,4,6,3,5,7,2]=>12 [1,4,6,3,7,2,5]=>14 [1,4,6,3,7,5,2]=>14 [1,4,6,5,2,3,7]=>12 [1,4,6,5,2,7,3]=>14 [1,4,6,5,3,2,7]=>12 [1,4,6,5,3,7,2]=>14
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Description
The total displacement of a permutation.
This is, for a permutation $\pi$ of $n$, given by $\sum_{i = 1}^n | \pi(i) - i |.$
This is twice the statistic St000029The depth of a permutation. and can be found in [3, Problem 5.1.1.28] and also in [1, 2].
References
[1] Chatterjee, S., Diaconis, P. A central limit theorem for a new statistic on permutations arXiv:1608.01666
[2] Diaconis, P., Graham, R. L. Spearman's footrule as a measure of disarray MathSciNet:0652736
[3] Knuth, D. E. The art of computer programming. Vol. 3 MathSciNet:3077154
Code
def statistic(pi):
    return sum( abs(pi(i) - i) for i in [ 1 .. len(pi) ] )

Created
May 31, 2017 at 10:42 by Christian Stump
Updated
May 31, 2017 at 13:53 by Christian Stump