edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>1 [2,1]=>0 [1,2,3]=>3 [1,3,2]=>2 [2,1,3]=>1 [2,3,1]=>0 [3,1,2]=>1 [3,2,1]=>0 [1,2,3,4]=>6 [1,2,4,3]=>5 [1,3,2,4]=>4 [1,3,4,2]=>3 [1,4,2,3]=>4 [1,4,3,2]=>3 [2,1,3,4]=>3 [2,1,4,3]=>2 [2,3,1,4]=>1 [2,3,4,1]=>0 [2,4,1,3]=>1 [2,4,3,1]=>0 [3,1,2,4]=>3 [3,1,4,2]=>2 [3,2,1,4]=>1 [3,2,4,1]=>0 [3,4,1,2]=>1 [3,4,2,1]=>0 [4,1,2,3]=>2 [4,1,3,2]=>2 [4,2,1,3]=>1 [4,2,3,1]=>0 [4,3,1,2]=>1 [4,3,2,1]=>0 [1,2,3,4,5]=>10 [1,2,3,5,4]=>9 [1,2,4,3,5]=>8 [1,2,4,5,3]=>7 [1,2,5,3,4]=>8 [1,2,5,4,3]=>7 [1,3,2,4,5]=>7 [1,3,2,5,4]=>6 [1,3,4,2,5]=>5 [1,3,4,5,2]=>4 [1,3,5,2,4]=>5 [1,3,5,4,2]=>4 [1,4,2,3,5]=>7 [1,4,2,5,3]=>6 [1,4,3,2,5]=>5 [1,4,3,5,2]=>4 [1,4,5,2,3]=>5 [1,4,5,3,2]=>4 [1,5,2,3,4]=>6 [1,5,2,4,3]=>6 [1,5,3,2,4]=>5 [1,5,3,4,2]=>4 [1,5,4,2,3]=>5 [1,5,4,3,2]=>4 [2,1,3,4,5]=>6 [2,1,3,5,4]=>5 [2,1,4,3,5]=>4 [2,1,4,5,3]=>3 [2,1,5,3,4]=>4 [2,1,5,4,3]=>3 [2,3,1,4,5]=>3 [2,3,1,5,4]=>2 [2,3,4,1,5]=>1 [2,3,4,5,1]=>0 [2,3,5,1,4]=>1 [2,3,5,4,1]=>0 [2,4,1,3,5]=>3 [2,4,1,5,3]=>2 [2,4,3,1,5]=>1 [2,4,3,5,1]=>0 [2,4,5,1,3]=>1 [2,4,5,3,1]=>0 [2,5,1,3,4]=>2 [2,5,1,4,3]=>2 [2,5,3,1,4]=>1 [2,5,3,4,1]=>0 [2,5,4,1,3]=>1 [2,5,4,3,1]=>0 [3,1,2,4,5]=>6 [3,1,2,5,4]=>5 [3,1,4,2,5]=>4 [3,1,4,5,2]=>3 [3,1,5,2,4]=>4 [3,1,5,4,2]=>3 [3,2,1,4,5]=>3 [3,2,1,5,4]=>2 [3,2,4,1,5]=>1 [3,2,4,5,1]=>0 [3,2,5,1,4]=>1 [3,2,5,4,1]=>0 [3,4,1,2,5]=>3 [3,4,1,5,2]=>2 [3,4,2,1,5]=>1 [3,4,2,5,1]=>0 [3,4,5,1,2]=>1 [3,4,5,2,1]=>0 [3,5,1,2,4]=>2 [3,5,1,4,2]=>2 [3,5,2,1,4]=>1 [3,5,2,4,1]=>0 [3,5,4,1,2]=>1 [3,5,4,2,1]=>0 [4,1,2,3,5]=>4 [4,1,2,5,3]=>3 [4,1,3,2,5]=>4 [4,1,3,5,2]=>3 [4,1,5,2,3]=>3 [4,1,5,3,2]=>3 [4,2,1,3,5]=>3 [4,2,1,5,3]=>2 [4,2,3,1,5]=>1 [4,2,3,5,1]=>0 [4,2,5,1,3]=>1 [4,2,5,3,1]=>0 [4,3,1,2,5]=>3 [4,3,1,5,2]=>2 [4,3,2,1,5]=>1 [4,3,2,5,1]=>0 [4,3,5,1,2]=>1 [4,3,5,2,1]=>0 [4,5,1,2,3]=>2 [4,5,1,3,2]=>2 [4,5,2,1,3]=>1 [4,5,2,3,1]=>0 [4,5,3,1,2]=>1 [4,5,3,2,1]=>0 [5,1,2,3,4]=>4 [5,1,2,4,3]=>3 [5,1,3,2,4]=>4 [5,1,3,4,2]=>3 [5,1,4,2,3]=>3 [5,1,4,3,2]=>3 [5,2,1,3,4]=>2 [5,2,1,4,3]=>2 [5,2,3,1,4]=>1 [5,2,3,4,1]=>0 [5,2,4,1,3]=>1 [5,2,4,3,1]=>0 [5,3,1,2,4]=>2 [5,3,1,4,2]=>2 [5,3,2,1,4]=>1 [5,3,2,4,1]=>0 [5,3,4,1,2]=>1 [5,3,4,2,1]=>0 [5,4,1,2,3]=>2 [5,4,1,3,2]=>2 [5,4,2,1,3]=>1 [5,4,2,3,1]=>0 [5,4,3,1,2]=>1 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>15 [1,2,3,4,6,5]=>14 [1,2,3,5,4,6]=>13 [1,2,3,5,6,4]=>12 [1,2,3,6,4,5]=>13 [1,2,3,6,5,4]=>12 [1,2,4,3,5,6]=>12 [1,2,4,3,6,5]=>11 [1,2,4,5,3,6]=>10 [1,2,4,5,6,3]=>9 [1,2,4,6,3,5]=>10 [1,2,4,6,5,3]=>9 [1,2,5,3,4,6]=>12 [1,2,5,3,6,4]=>11 [1,2,5,4,3,6]=>10 [1,2,5,4,6,3]=>9 [1,2,5,6,3,4]=>10 [1,2,5,6,4,3]=>9 [1,2,6,3,4,5]=>11 [1,2,6,3,5,4]=>11 [1,2,6,4,3,5]=>10 [1,2,6,4,5,3]=>9 [1,2,6,5,3,4]=>10 [1,2,6,5,4,3]=>9 [1,3,2,4,5,6]=>11 [1,3,2,4,6,5]=>10 [1,3,2,5,4,6]=>9 [1,3,2,5,6,4]=>8 [1,3,2,6,4,5]=>9 [1,3,2,6,5,4]=>8 [1,3,4,2,5,6]=>8 [1,3,4,2,6,5]=>7 [1,3,4,5,2,6]=>6 [1,3,4,5,6,2]=>5 [1,3,4,6,2,5]=>6 [1,3,4,6,5,2]=>5 [1,3,5,2,4,6]=>8 [1,3,5,2,6,4]=>7 [1,3,5,4,2,6]=>6 [1,3,5,4,6,2]=>5 [1,3,5,6,2,4]=>6 [1,3,5,6,4,2]=>5 [1,3,6,2,4,5]=>7 [1,3,6,2,5,4]=>7 [1,3,6,4,2,5]=>6 [1,3,6,4,5,2]=>5 [1,3,6,5,2,4]=>6 [1,3,6,5,4,2]=>5 [1,4,2,3,5,6]=>11 [1,4,2,3,6,5]=>10 [1,4,2,5,3,6]=>9 [1,4,2,5,6,3]=>8 [1,4,2,6,3,5]=>9 [1,4,2,6,5,3]=>8 [1,4,3,2,5,6]=>8 [1,4,3,2,6,5]=>7 [1,4,3,5,2,6]=>6 [1,4,3,5,6,2]=>5 [1,4,3,6,2,5]=>6 [1,4,3,6,5,2]=>5 [1,4,5,2,3,6]=>8 [1,4,5,2,6,3]=>7 [1,4,5,3,2,6]=>6 [1,4,5,3,6,2]=>5 [1,4,5,6,2,3]=>6 [1,4,5,6,3,2]=>5 [1,4,6,2,3,5]=>7 [1,4,6,2,5,3]=>7 [1,4,6,3,2,5]=>6 [1,4,6,3,5,2]=>5 [1,4,6,5,2,3]=>6 [1,4,6,5,3,2]=>5 [1,5,2,3,4,6]=>9 [1,5,2,3,6,4]=>8 [1,5,2,4,3,6]=>9 [1,5,2,4,6,3]=>8 [1,5,2,6,3,4]=>8 [1,5,2,6,4,3]=>8 [1,5,3,2,4,6]=>8 [1,5,3,2,6,4]=>7 [1,5,3,4,2,6]=>6 [1,5,3,4,6,2]=>5 [1,5,3,6,2,4]=>6 [1,5,3,6,4,2]=>5 [1,5,4,2,3,6]=>8 [1,5,4,2,6,3]=>7 [1,5,4,3,2,6]=>6 [1,5,4,3,6,2]=>5 [1,5,4,6,2,3]=>6 [1,5,4,6,3,2]=>5 [1,5,6,2,3,4]=>7 [1,5,6,2,4,3]=>7 [1,5,6,3,2,4]=>6 [1,5,6,3,4,2]=>5 [1,5,6,4,2,3]=>6 [1,5,6,4,3,2]=>5 [1,6,2,3,4,5]=>9 [1,6,2,3,5,4]=>8 [1,6,2,4,3,5]=>9 [1,6,2,4,5,3]=>8 [1,6,2,5,3,4]=>8 [1,6,2,5,4,3]=>8 [1,6,3,2,4,5]=>7 [1,6,3,2,5,4]=>7 [1,6,3,4,2,5]=>6 [1,6,3,4,5,2]=>5 [1,6,3,5,2,4]=>6 [1,6,3,5,4,2]=>5 [1,6,4,2,3,5]=>7 [1,6,4,2,5,3]=>7 [1,6,4,3,2,5]=>6 [1,6,4,3,5,2]=>5 [1,6,4,5,2,3]=>6 [1,6,4,5,3,2]=>5 [1,6,5,2,3,4]=>7 [1,6,5,2,4,3]=>7 [1,6,5,3,2,4]=>6 [1,6,5,3,4,2]=>5 [1,6,5,4,2,3]=>6 [1,6,5,4,3,2]=>5 [2,1,3,4,5,6]=>10 [2,1,3,4,6,5]=>9 [2,1,3,5,4,6]=>8 [2,1,3,5,6,4]=>7 [2,1,3,6,4,5]=>8 [2,1,3,6,5,4]=>7 [2,1,4,3,5,6]=>7 [2,1,4,3,6,5]=>6 [2,1,4,5,3,6]=>5 [2,1,4,5,6,3]=>4 [2,1,4,6,3,5]=>5 [2,1,4,6,5,3]=>4 [2,1,5,3,4,6]=>7 [2,1,5,3,6,4]=>6 [2,1,5,4,3,6]=>5 [2,1,5,4,6,3]=>4 [2,1,5,6,3,4]=>5 [2,1,5,6,4,3]=>4 [2,1,6,3,4,5]=>6 [2,1,6,3,5,4]=>6 [2,1,6,4,3,5]=>5 [2,1,6,4,5,3]=>4 [2,1,6,5,3,4]=>5 [2,1,6,5,4,3]=>4 [2,3,1,4,5,6]=>6 [2,3,1,4,6,5]=>5 [2,3,1,5,4,6]=>4 [2,3,1,5,6,4]=>3 [2,3,1,6,4,5]=>4 [2,3,1,6,5,4]=>3 [2,3,4,1,5,6]=>3 [2,3,4,1,6,5]=>2 [2,3,4,5,1,6]=>1 [2,3,4,5,6,1]=>0 [2,3,4,6,1,5]=>1 [2,3,4,6,5,1]=>0 [2,3,5,1,4,6]=>3 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>1 [2,3,5,4,6,1]=>0 [2,3,5,6,1,4]=>1 [2,3,5,6,4,1]=>0 [2,3,6,1,4,5]=>2 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>1 [2,3,6,4,5,1]=>0 [2,3,6,5,1,4]=>1 [2,3,6,5,4,1]=>0 [2,4,1,3,5,6]=>6 [2,4,1,3,6,5]=>5 [2,4,1,5,3,6]=>4 [2,4,1,5,6,3]=>3 [2,4,1,6,3,5]=>4 [2,4,1,6,5,3]=>3 [2,4,3,1,5,6]=>3 [2,4,3,1,6,5]=>2 [2,4,3,5,1,6]=>1 [2,4,3,5,6,1]=>0 [2,4,3,6,1,5]=>1 [2,4,3,6,5,1]=>0 [2,4,5,1,3,6]=>3 [2,4,5,1,6,3]=>2 [2,4,5,3,1,6]=>1 [2,4,5,3,6,1]=>0 [2,4,5,6,1,3]=>1 [2,4,5,6,3,1]=>0 [2,4,6,1,3,5]=>2 [2,4,6,1,5,3]=>2 [2,4,6,3,1,5]=>1 [2,4,6,3,5,1]=>0 [2,4,6,5,1,3]=>1 [2,4,6,5,3,1]=>0 [2,5,1,3,4,6]=>4 [2,5,1,3,6,4]=>3 [2,5,1,4,3,6]=>4 [2,5,1,4,6,3]=>3 [2,5,1,6,3,4]=>3 [2,5,1,6,4,3]=>3 [2,5,3,1,4,6]=>3 [2,5,3,1,6,4]=>2 [2,5,3,4,1,6]=>1 [2,5,3,4,6,1]=>0 [2,5,3,6,1,4]=>1 [2,5,3,6,4,1]=>0 [2,5,4,1,3,6]=>3 [2,5,4,1,6,3]=>2 [2,5,4,3,1,6]=>1 [2,5,4,3,6,1]=>0 [2,5,4,6,1,3]=>1 [2,5,4,6,3,1]=>0 [2,5,6,1,3,4]=>2 [2,5,6,1,4,3]=>2 [2,5,6,3,1,4]=>1 [2,5,6,3,4,1]=>0 [2,5,6,4,1,3]=>1 [2,5,6,4,3,1]=>0 [2,6,1,3,4,5]=>4 [2,6,1,3,5,4]=>3 [2,6,1,4,3,5]=>4 [2,6,1,4,5,3]=>3 [2,6,1,5,3,4]=>3 [2,6,1,5,4,3]=>3 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>2 [2,6,3,4,1,5]=>1 [2,6,3,4,5,1]=>0 [2,6,3,5,1,4]=>1 [2,6,3,5,4,1]=>0 [2,6,4,1,3,5]=>2 [2,6,4,1,5,3]=>2 [2,6,4,3,1,5]=>1 [2,6,4,3,5,1]=>0 [2,6,4,5,1,3]=>1 [2,6,4,5,3,1]=>0 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>2 [2,6,5,3,1,4]=>1 [2,6,5,3,4,1]=>0 [2,6,5,4,1,3]=>1 [2,6,5,4,3,1]=>0 [3,1,2,4,5,6]=>10 [3,1,2,4,6,5]=>9 [3,1,2,5,4,6]=>8 [3,1,2,5,6,4]=>7 [3,1,2,6,4,5]=>8 [3,1,2,6,5,4]=>7 [3,1,4,2,5,6]=>7 [3,1,4,2,6,5]=>6 [3,1,4,5,2,6]=>5 [3,1,4,5,6,2]=>4 [3,1,4,6,2,5]=>5 [3,1,4,6,5,2]=>4 [3,1,5,2,4,6]=>7 [3,1,5,2,6,4]=>6 [3,1,5,4,2,6]=>5 [3,1,5,4,6,2]=>4 [3,1,5,6,2,4]=>5 [3,1,5,6,4,2]=>4 [3,1,6,2,4,5]=>6 [3,1,6,2,5,4]=>6 [3,1,6,4,2,5]=>5 [3,1,6,4,5,2]=>4 [3,1,6,5,2,4]=>5 [3,1,6,5,4,2]=>4 [3,2,1,4,5,6]=>6 [3,2,1,4,6,5]=>5 [3,2,1,5,4,6]=>4 [3,2,1,5,6,4]=>3 [3,2,1,6,4,5]=>4 [3,2,1,6,5,4]=>3 [3,2,4,1,5,6]=>3 [3,2,4,1,6,5]=>2 [3,2,4,5,1,6]=>1 [3,2,4,5,6,1]=>0 [3,2,4,6,1,5]=>1 [3,2,4,6,5,1]=>0 [3,2,5,1,4,6]=>3 [3,2,5,1,6,4]=>2 [3,2,5,4,1,6]=>1 [3,2,5,4,6,1]=>0 [3,2,5,6,1,4]=>1 [3,2,5,6,4,1]=>0 [3,2,6,1,4,5]=>2 [3,2,6,1,5,4]=>2 [3,2,6,4,1,5]=>1 [3,2,6,4,5,1]=>0 [3,2,6,5,1,4]=>1 [3,2,6,5,4,1]=>0 [3,4,1,2,5,6]=>6 [3,4,1,2,6,5]=>5 [3,4,1,5,2,6]=>4 [3,4,1,5,6,2]=>3 [3,4,1,6,2,5]=>4 [3,4,1,6,5,2]=>3 [3,4,2,1,5,6]=>3 [3,4,2,1,6,5]=>2 [3,4,2,5,1,6]=>1 [3,4,2,5,6,1]=>0 [3,4,2,6,1,5]=>1 [3,4,2,6,5,1]=>0 [3,4,5,1,2,6]=>3 [3,4,5,1,6,2]=>2 [3,4,5,2,1,6]=>1 [3,4,5,2,6,1]=>0 [3,4,5,6,1,2]=>1 [3,4,5,6,2,1]=>0 [3,4,6,1,2,5]=>2 [3,4,6,1,5,2]=>2 [3,4,6,2,1,5]=>1 [3,4,6,2,5,1]=>0 [3,4,6,5,1,2]=>1 [3,4,6,5,2,1]=>0 [3,5,1,2,4,6]=>4 [3,5,1,2,6,4]=>3 [3,5,1,4,2,6]=>4 [3,5,1,4,6,2]=>3 [3,5,1,6,2,4]=>3 [3,5,1,6,4,2]=>3 [3,5,2,1,4,6]=>3 [3,5,2,1,6,4]=>2 [3,5,2,4,1,6]=>1 [3,5,2,4,6,1]=>0 [3,5,2,6,1,4]=>1 [3,5,2,6,4,1]=>0 [3,5,4,1,2,6]=>3 [3,5,4,1,6,2]=>2 [3,5,4,2,1,6]=>1 [3,5,4,2,6,1]=>0 [3,5,4,6,1,2]=>1 [3,5,4,6,2,1]=>0 [3,5,6,1,2,4]=>2 [3,5,6,1,4,2]=>2 [3,5,6,2,1,4]=>1 [3,5,6,2,4,1]=>0 [3,5,6,4,1,2]=>1 [3,5,6,4,2,1]=>0 [3,6,1,2,4,5]=>4 [3,6,1,2,5,4]=>3 [3,6,1,4,2,5]=>4 [3,6,1,4,5,2]=>3 [3,6,1,5,2,4]=>3 [3,6,1,5,4,2]=>3 [3,6,2,1,4,5]=>2 [3,6,2,1,5,4]=>2 [3,6,2,4,1,5]=>1 [3,6,2,4,5,1]=>0 [3,6,2,5,1,4]=>1 [3,6,2,5,4,1]=>0 [3,6,4,1,2,5]=>2 [3,6,4,1,5,2]=>2 [3,6,4,2,1,5]=>1 [3,6,4,2,5,1]=>0 [3,6,4,5,1,2]=>1 [3,6,4,5,2,1]=>0 [3,6,5,1,2,4]=>2 [3,6,5,1,4,2]=>2 [3,6,5,2,1,4]=>1 [3,6,5,2,4,1]=>0 [3,6,5,4,1,2]=>1 [3,6,5,4,2,1]=>0 [4,1,2,3,5,6]=>7 [4,1,2,3,6,5]=>6 [4,1,2,5,3,6]=>5 [4,1,2,5,6,3]=>4 [4,1,2,6,3,5]=>5 [4,1,2,6,5,3]=>4 [4,1,3,2,5,6]=>7 [4,1,3,2,6,5]=>6 [4,1,3,5,2,6]=>5 [4,1,3,5,6,2]=>4 [4,1,3,6,2,5]=>5 [4,1,3,6,5,2]=>4 [4,1,5,2,3,6]=>5 [4,1,5,2,6,3]=>4 [4,1,5,3,2,6]=>5 [4,1,5,3,6,2]=>4 [4,1,5,6,2,3]=>4 [4,1,5,6,3,2]=>4 [4,1,6,2,3,5]=>5 [4,1,6,2,5,3]=>4 [4,1,6,3,2,5]=>5 [4,1,6,3,5,2]=>4 [4,1,6,5,2,3]=>4 [4,1,6,5,3,2]=>4 [4,2,1,3,5,6]=>6 [4,2,1,3,6,5]=>5 [4,2,1,5,3,6]=>4 [4,2,1,5,6,3]=>3 [4,2,1,6,3,5]=>4 [4,2,1,6,5,3]=>3 [4,2,3,1,5,6]=>3 [4,2,3,1,6,5]=>2 [4,2,3,5,1,6]=>1 [4,2,3,5,6,1]=>0 [4,2,3,6,1,5]=>1 [4,2,3,6,5,1]=>0 [4,2,5,1,3,6]=>3 [4,2,5,1,6,3]=>2 [4,2,5,3,1,6]=>1 [4,2,5,3,6,1]=>0 [4,2,5,6,1,3]=>1 [4,2,5,6,3,1]=>0 [4,2,6,1,3,5]=>2 [4,2,6,1,5,3]=>2 [4,2,6,3,1,5]=>1 [4,2,6,3,5,1]=>0 [4,2,6,5,1,3]=>1 [4,2,6,5,3,1]=>0 [4,3,1,2,5,6]=>6 [4,3,1,2,6,5]=>5 [4,3,1,5,2,6]=>4 [4,3,1,5,6,2]=>3 [4,3,1,6,2,5]=>4 [4,3,1,6,5,2]=>3 [4,3,2,1,5,6]=>3 [4,3,2,1,6,5]=>2 [4,3,2,5,1,6]=>1 [4,3,2,5,6,1]=>0 [4,3,2,6,1,5]=>1 [4,3,2,6,5,1]=>0 [4,3,5,1,2,6]=>3 [4,3,5,1,6,2]=>2 [4,3,5,2,1,6]=>1 [4,3,5,2,6,1]=>0 [4,3,5,6,1,2]=>1 [4,3,5,6,2,1]=>0 [4,3,6,1,2,5]=>2 [4,3,6,1,5,2]=>2 [4,3,6,2,1,5]=>1 [4,3,6,2,5,1]=>0 [4,3,6,5,1,2]=>1 [4,3,6,5,2,1]=>0 [4,5,1,2,3,6]=>4 [4,5,1,2,6,3]=>3 [4,5,1,3,2,6]=>4 [4,5,1,3,6,2]=>3 [4,5,1,6,2,3]=>3 [4,5,1,6,3,2]=>3 [4,5,2,1,3,6]=>3 [4,5,2,1,6,3]=>2 [4,5,2,3,1,6]=>1 [4,5,2,3,6,1]=>0 [4,5,2,6,1,3]=>1 [4,5,2,6,3,1]=>0 [4,5,3,1,2,6]=>3 [4,5,3,1,6,2]=>2 [4,5,3,2,1,6]=>1 [4,5,3,2,6,1]=>0 [4,5,3,6,1,2]=>1 [4,5,3,6,2,1]=>0 [4,5,6,1,2,3]=>2 [4,5,6,1,3,2]=>2 [4,5,6,2,1,3]=>1 [4,5,6,2,3,1]=>0 [4,5,6,3,1,2]=>1 [4,5,6,3,2,1]=>0 [4,6,1,2,3,5]=>4 [4,6,1,2,5,3]=>3 [4,6,1,3,2,5]=>4 [4,6,1,3,5,2]=>3 [4,6,1,5,2,3]=>3 [4,6,1,5,3,2]=>3 [4,6,2,1,3,5]=>2 [4,6,2,1,5,3]=>2 [4,6,2,3,1,5]=>1 [4,6,2,3,5,1]=>0 [4,6,2,5,1,3]=>1 [4,6,2,5,3,1]=>0 [4,6,3,1,2,5]=>2 [4,6,3,1,5,2]=>2 [4,6,3,2,1,5]=>1 [4,6,3,2,5,1]=>0 [4,6,3,5,1,2]=>1 [4,6,3,5,2,1]=>0 [4,6,5,1,2,3]=>2 [4,6,5,1,3,2]=>2 [4,6,5,2,1,3]=>1 [4,6,5,2,3,1]=>0 [4,6,5,3,1,2]=>1 [4,6,5,3,2,1]=>0 [5,1,2,3,4,6]=>7 [5,1,2,3,6,4]=>6 [5,1,2,4,3,6]=>5 [5,1,2,4,6,3]=>4 [5,1,2,6,3,4]=>5 [5,1,2,6,4,3]=>4 [5,1,3,2,4,6]=>7 [5,1,3,2,6,4]=>6 [5,1,3,4,2,6]=>5 [5,1,3,4,6,2]=>4 [5,1,3,6,2,4]=>5 [5,1,3,6,4,2]=>4 [5,1,4,2,3,6]=>5 [5,1,4,2,6,3]=>4 [5,1,4,3,2,6]=>5 [5,1,4,3,6,2]=>4 [5,1,4,6,2,3]=>4 [5,1,4,6,3,2]=>4 [5,1,6,2,3,4]=>5 [5,1,6,2,4,3]=>4 [5,1,6,3,2,4]=>5 [5,1,6,3,4,2]=>4 [5,1,6,4,2,3]=>4 [5,1,6,4,3,2]=>4 [5,2,1,3,4,6]=>4 [5,2,1,3,6,4]=>3 [5,2,1,4,3,6]=>4 [5,2,1,4,6,3]=>3 [5,2,1,6,3,4]=>3 [5,2,1,6,4,3]=>3 [5,2,3,1,4,6]=>3 [5,2,3,1,6,4]=>2 [5,2,3,4,1,6]=>1 [5,2,3,4,6,1]=>0 [5,2,3,6,1,4]=>1 [5,2,3,6,4,1]=>0 [5,2,4,1,3,6]=>3 [5,2,4,1,6,3]=>2 [5,2,4,3,1,6]=>1 [5,2,4,3,6,1]=>0 [5,2,4,6,1,3]=>1 [5,2,4,6,3,1]=>0 [5,2,6,1,3,4]=>2 [5,2,6,1,4,3]=>2 [5,2,6,3,1,4]=>1 [5,2,6,3,4,1]=>0 [5,2,6,4,1,3]=>1 [5,2,6,4,3,1]=>0 [5,3,1,2,4,6]=>4 [5,3,1,2,6,4]=>3 [5,3,1,4,2,6]=>4 [5,3,1,4,6,2]=>3 [5,3,1,6,2,4]=>3 [5,3,1,6,4,2]=>3 [5,3,2,1,4,6]=>3 [5,3,2,1,6,4]=>2 [5,3,2,4,1,6]=>1 [5,3,2,4,6,1]=>0 [5,3,2,6,1,4]=>1 [5,3,2,6,4,1]=>0 [5,3,4,1,2,6]=>3 [5,3,4,1,6,2]=>2 [5,3,4,2,1,6]=>1 [5,3,4,2,6,1]=>0 [5,3,4,6,1,2]=>1 [5,3,4,6,2,1]=>0 [5,3,6,1,2,4]=>2 [5,3,6,1,4,2]=>2 [5,3,6,2,1,4]=>1 [5,3,6,2,4,1]=>0 [5,3,6,4,1,2]=>1 [5,3,6,4,2,1]=>0 [5,4,1,2,3,6]=>4 [5,4,1,2,6,3]=>3 [5,4,1,3,2,6]=>4 [5,4,1,3,6,2]=>3 [5,4,1,6,2,3]=>3 [5,4,1,6,3,2]=>3 [5,4,2,1,3,6]=>3 [5,4,2,1,6,3]=>2 [5,4,2,3,1,6]=>1 [5,4,2,3,6,1]=>0 [5,4,2,6,1,3]=>1 [5,4,2,6,3,1]=>0 [5,4,3,1,2,6]=>3 [5,4,3,1,6,2]=>2 [5,4,3,2,1,6]=>1 [5,4,3,2,6,1]=>0 [5,4,3,6,1,2]=>1 [5,4,3,6,2,1]=>0 [5,4,6,1,2,3]=>2 [5,4,6,1,3,2]=>2 [5,4,6,2,1,3]=>1 [5,4,6,2,3,1]=>0 [5,4,6,3,1,2]=>1 [5,4,6,3,2,1]=>0 [5,6,1,2,3,4]=>3 [5,6,1,2,4,3]=>3 [5,6,1,3,2,4]=>3 [5,6,1,3,4,2]=>3 [5,6,1,4,2,3]=>3 [5,6,1,4,3,2]=>3 [5,6,2,1,3,4]=>2 [5,6,2,1,4,3]=>2 [5,6,2,3,1,4]=>1 [5,6,2,3,4,1]=>0 [5,6,2,4,1,3]=>1 [5,6,2,4,3,1]=>0 [5,6,3,1,2,4]=>2 [5,6,3,1,4,2]=>2 [5,6,3,2,1,4]=>1 [5,6,3,2,4,1]=>0 [5,6,3,4,1,2]=>1 [5,6,3,4,2,1]=>0 [5,6,4,1,2,3]=>2 [5,6,4,1,3,2]=>2 [5,6,4,2,1,3]=>1 [5,6,4,2,3,1]=>0 [5,6,4,3,1,2]=>1 [5,6,4,3,2,1]=>0 [6,1,2,3,4,5]=>6 [6,1,2,3,5,4]=>6 [6,1,2,4,3,5]=>5 [6,1,2,4,5,3]=>4 [6,1,2,5,3,4]=>5 [6,1,2,5,4,3]=>4 [6,1,3,2,4,5]=>6 [6,1,3,2,5,4]=>6 [6,1,3,4,2,5]=>5 [6,1,3,4,5,2]=>4 [6,1,3,5,2,4]=>5 [6,1,3,5,4,2]=>4 [6,1,4,2,3,5]=>5 [6,1,4,2,5,3]=>4 [6,1,4,3,2,5]=>5 [6,1,4,3,5,2]=>4 [6,1,4,5,2,3]=>4 [6,1,4,5,3,2]=>4 [6,1,5,2,3,4]=>5 [6,1,5,2,4,3]=>4 [6,1,5,3,2,4]=>5 [6,1,5,3,4,2]=>4 [6,1,5,4,2,3]=>4 [6,1,5,4,3,2]=>4 [6,2,1,3,4,5]=>4 [6,2,1,3,5,4]=>3 [6,2,1,4,3,5]=>4 [6,2,1,4,5,3]=>3 [6,2,1,5,3,4]=>3 [6,2,1,5,4,3]=>3 [6,2,3,1,4,5]=>2 [6,2,3,1,5,4]=>2 [6,2,3,4,1,5]=>1 [6,2,3,4,5,1]=>0 [6,2,3,5,1,4]=>1 [6,2,3,5,4,1]=>0 [6,2,4,1,3,5]=>2 [6,2,4,1,5,3]=>2 [6,2,4,3,1,5]=>1 [6,2,4,3,5,1]=>0 [6,2,4,5,1,3]=>1 [6,2,4,5,3,1]=>0 [6,2,5,1,3,4]=>2 [6,2,5,1,4,3]=>2 [6,2,5,3,1,4]=>1 [6,2,5,3,4,1]=>0 [6,2,5,4,1,3]=>1 [6,2,5,4,3,1]=>0 [6,3,1,2,4,5]=>4 [6,3,1,2,5,4]=>3 [6,3,1,4,2,5]=>4 [6,3,1,4,5,2]=>3 [6,3,1,5,2,4]=>3 [6,3,1,5,4,2]=>3 [6,3,2,1,4,5]=>2 [6,3,2,1,5,4]=>2 [6,3,2,4,1,5]=>1 [6,3,2,4,5,1]=>0 [6,3,2,5,1,4]=>1 [6,3,2,5,4,1]=>0 [6,3,4,1,2,5]=>2 [6,3,4,1,5,2]=>2 [6,3,4,2,1,5]=>1 [6,3,4,2,5,1]=>0 [6,3,4,5,1,2]=>1 [6,3,4,5,2,1]=>0 [6,3,5,1,2,4]=>2 [6,3,5,1,4,2]=>2 [6,3,5,2,1,4]=>1 [6,3,5,2,4,1]=>0 [6,3,5,4,1,2]=>1 [6,3,5,4,2,1]=>0 [6,4,1,2,3,5]=>4 [6,4,1,2,5,3]=>3 [6,4,1,3,2,5]=>4 [6,4,1,3,5,2]=>3 [6,4,1,5,2,3]=>3 [6,4,1,5,3,2]=>3 [6,4,2,1,3,5]=>2 [6,4,2,1,5,3]=>2 [6,4,2,3,1,5]=>1 [6,4,2,3,5,1]=>0 [6,4,2,5,1,3]=>1 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>2 [6,4,3,1,5,2]=>2 [6,4,3,2,1,5]=>1 [6,4,3,2,5,1]=>0 [6,4,3,5,1,2]=>1 [6,4,3,5,2,1]=>0 [6,4,5,1,2,3]=>2 [6,4,5,1,3,2]=>2 [6,4,5,2,1,3]=>1 [6,4,5,2,3,1]=>0 [6,4,5,3,1,2]=>1 [6,4,5,3,2,1]=>0 [6,5,1,2,3,4]=>3 [6,5,1,2,4,3]=>3 [6,5,1,3,2,4]=>3 [6,5,1,3,4,2]=>3 [6,5,1,4,2,3]=>3 [6,5,1,4,3,2]=>3 [6,5,2,1,3,4]=>2 [6,5,2,1,4,3]=>2 [6,5,2,3,1,4]=>1 [6,5,2,3,4,1]=>0 [6,5,2,4,1,3]=>1 [6,5,2,4,3,1]=>0 [6,5,3,1,2,4]=>2 [6,5,3,1,4,2]=>2 [6,5,3,2,1,4]=>1 [6,5,3,2,4,1]=>0 [6,5,3,4,1,2]=>1 [6,5,3,4,2,1]=>0 [6,5,4,1,2,3]=>2 [6,5,4,1,3,2]=>2 [6,5,4,2,1,3]=>1 [6,5,4,2,3,1]=>0 [6,5,4,3,1,2]=>1 [6,5,4,3,2,1]=>0
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Description
The "bounce" of a permutation.
Code
def statistic(w):
    n = len(w)
    v = w.inverse()
    bounces = [v[0]]
    while bounces[-1] < n:
        bounces.append(max(v[:bounces[-1] + 1]))
    return sum([n - i for i in bounces])
Created
Jun 19, 2013 at 15:40 by Sam Clearman
Updated
Mar 28, 2015 at 22:46 by Martin Rubey