edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,1]=>0 [1,2]=>1 [2,1]=>1 [1,1,1]=>0 [1,1,2]=>1 [1,2,1]=>1 [2,1,1]=>1 [1,1,3]=>2 [1,3,1]=>2 [3,1,1]=>2 [1,2,2]=>2 [2,1,2]=>2 [2,2,1]=>2 [1,2,3]=>3 [1,3,2]=>3 [2,1,3]=>3 [2,3,1]=>3 [3,1,2]=>3 [3,2,1]=>3 [1,1,1,1]=>0 [1,1,1,2]=>1 [1,1,2,1]=>1 [1,2,1,1]=>1 [2,1,1,1]=>1 [1,1,1,3]=>2 [1,1,3,1]=>2 [1,3,1,1]=>2 [3,1,1,1]=>2 [1,1,1,4]=>3 [1,1,4,1]=>3 [1,4,1,1]=>3 [4,1,1,1]=>3 [1,1,2,2]=>2 [1,2,1,2]=>2 [1,2,2,1]=>2 [2,1,1,2]=>2 [2,1,2,1]=>2 [2,2,1,1]=>2 [1,1,2,3]=>3 [1,1,3,2]=>3 [1,2,1,3]=>3 [1,2,3,1]=>3 [1,3,1,2]=>3 [1,3,2,1]=>3 [2,1,1,3]=>3 [2,1,3,1]=>3 [2,3,1,1]=>3 [3,1,1,2]=>3 [3,1,2,1]=>3 [3,2,1,1]=>3 [1,1,2,4]=>4 [1,1,4,2]=>4 [1,2,1,4]=>4 [1,2,4,1]=>4 [1,4,1,2]=>4 [1,4,2,1]=>4 [2,1,1,4]=>4 [2,1,4,1]=>4 [2,4,1,1]=>4 [4,1,1,2]=>4 [4,1,2,1]=>4 [4,2,1,1]=>4 [1,1,3,3]=>4 [1,3,1,3]=>4 [1,3,3,1]=>4 [3,1,1,3]=>4 [3,1,3,1]=>4 [3,3,1,1]=>4 [1,1,3,4]=>5 [1,1,4,3]=>5 [1,3,1,4]=>5 [1,3,4,1]=>5 [1,4,1,3]=>5 [1,4,3,1]=>5 [3,1,1,4]=>5 [3,1,4,1]=>5 [3,4,1,1]=>5 [4,1,1,3]=>5 [4,1,3,1]=>5 [4,3,1,1]=>5 [1,2,2,2]=>3 [2,1,2,2]=>3 [2,2,1,2]=>3 [2,2,2,1]=>3 [1,2,2,3]=>4 [1,2,3,2]=>4 [1,3,2,2]=>4 [2,1,2,3]=>4 [2,1,3,2]=>4 [2,2,1,3]=>4 [2,2,3,1]=>4 [2,3,1,2]=>4 [2,3,2,1]=>4 [3,1,2,2]=>4 [3,2,1,2]=>4 [3,2,2,1]=>4 [1,2,2,4]=>5 [1,2,4,2]=>5 [1,4,2,2]=>5 [2,1,2,4]=>5 [2,1,4,2]=>5 [2,2,1,4]=>5 [2,2,4,1]=>5 [2,4,1,2]=>5 [2,4,2,1]=>5 [4,1,2,2]=>5 [4,2,1,2]=>5 [4,2,2,1]=>5 [1,2,3,3]=>5 [1,3,2,3]=>5 [1,3,3,2]=>5 [2,1,3,3]=>5 [2,3,1,3]=>5 [2,3,3,1]=>5 [3,1,2,3]=>5 [3,1,3,2]=>5 [3,2,1,3]=>5 [3,2,3,1]=>5 [3,3,1,2]=>5 [3,3,2,1]=>5 [1,2,3,4]=>6 [1,2,4,3]=>6 [1,3,2,4]=>6 [1,3,4,2]=>6 [1,4,2,3]=>6 [1,4,3,2]=>6 [2,1,3,4]=>6 [2,1,4,3]=>6 [2,3,1,4]=>6 [2,3,4,1]=>6 [2,4,1,3]=>6 [2,4,3,1]=>6 [3,1,2,4]=>6 [3,1,4,2]=>6 [3,2,1,4]=>6 [3,2,4,1]=>6 [3,4,1,2]=>6 [3,4,2,1]=>6 [4,1,2,3]=>6 [4,1,3,2]=>6 [4,2,1,3]=>6 [4,2,3,1]=>6 [4,3,1,2]=>6 [4,3,2,1]=>6 [1,1,1,1,1]=>0 [1,1,1,1,2]=>1 [1,1,1,2,1]=>1 [1,1,2,1,1]=>1 [1,2,1,1,1]=>1 [2,1,1,1,1]=>1 [1,1,1,1,3]=>2 [1,1,1,3,1]=>2 [1,1,3,1,1]=>2 [1,3,1,1,1]=>2 [3,1,1,1,1]=>2 [1,1,1,1,4]=>3 [1,1,1,4,1]=>3 [1,1,4,1,1]=>3 [1,4,1,1,1]=>3 [4,1,1,1,1]=>3 [1,1,1,1,5]=>4 [1,1,1,5,1]=>4 [1,1,5,1,1]=>4 [1,5,1,1,1]=>4 [5,1,1,1,1]=>4 [1,1,1,2,2]=>2 [1,1,2,1,2]=>2 [1,1,2,2,1]=>2 [1,2,1,1,2]=>2 [1,2,1,2,1]=>2 [1,2,2,1,1]=>2 [2,1,1,1,2]=>2 [2,1,1,2,1]=>2 [2,1,2,1,1]=>2 [2,2,1,1,1]=>2 [1,1,1,2,3]=>3 [1,1,1,3,2]=>3 [1,1,2,1,3]=>3 [1,1,2,3,1]=>3 [1,1,3,1,2]=>3 [1,1,3,2,1]=>3 [1,2,1,1,3]=>3 [1,2,1,3,1]=>3 [1,2,3,1,1]=>3 [1,3,1,1,2]=>3 [1,3,1,2,1]=>3 [1,3,2,1,1]=>3 [2,1,1,1,3]=>3 [2,1,1,3,1]=>3 [2,1,3,1,1]=>3 [2,3,1,1,1]=>3 [3,1,1,1,2]=>3 [3,1,1,2,1]=>3 [3,1,2,1,1]=>3 [3,2,1,1,1]=>3 [1,1,1,2,4]=>4 [1,1,1,4,2]=>4 [1,1,2,1,4]=>4 [1,1,2,4,1]=>4 [1,1,4,1,2]=>4 [1,1,4,2,1]=>4 [1,2,1,1,4]=>4 [1,2,1,4,1]=>4 [1,2,4,1,1]=>4 [1,4,1,1,2]=>4 [1,4,1,2,1]=>4 [1,4,2,1,1]=>4 [2,1,1,1,4]=>4 [2,1,1,4,1]=>4 [2,1,4,1,1]=>4 [2,4,1,1,1]=>4 [4,1,1,1,2]=>4 [4,1,1,2,1]=>4 [4,1,2,1,1]=>4 [4,2,1,1,1]=>4 [1,1,1,2,5]=>5 [1,1,1,5,2]=>5 [1,1,2,1,5]=>5 [1,1,2,5,1]=>5 [1,1,5,1,2]=>5 [1,1,5,2,1]=>5 [1,2,1,1,5]=>5 [1,2,1,5,1]=>5 [1,2,5,1,1]=>5 [1,5,1,1,2]=>5 [1,5,1,2,1]=>5 [1,5,2,1,1]=>5 [2,1,1,1,5]=>5 [2,1,1,5,1]=>5 [2,1,5,1,1]=>5 [2,5,1,1,1]=>5 [5,1,1,1,2]=>5 [5,1,1,2,1]=>5 [5,1,2,1,1]=>5 [5,2,1,1,1]=>5 [1,1,1,3,3]=>4 [1,1,3,1,3]=>4 [1,1,3,3,1]=>4 [1,3,1,1,3]=>4 [1,3,1,3,1]=>4 [1,3,3,1,1]=>4 [3,1,1,1,3]=>4 [3,1,1,3,1]=>4 [3,1,3,1,1]=>4 [3,3,1,1,1]=>4 [1,1,1,3,4]=>5 [1,1,1,4,3]=>5 [1,1,3,1,4]=>5 [1,1,3,4,1]=>5 [1,1,4,1,3]=>5 [1,1,4,3,1]=>5 [1,3,1,1,4]=>5 [1,3,1,4,1]=>5 [1,3,4,1,1]=>5 [1,4,1,1,3]=>5 [1,4,1,3,1]=>5 [1,4,3,1,1]=>5 [3,1,1,1,4]=>5 [3,1,1,4,1]=>5 [3,1,4,1,1]=>5 [3,4,1,1,1]=>5 [4,1,1,1,3]=>5 [4,1,1,3,1]=>5 [4,1,3,1,1]=>5 [4,3,1,1,1]=>5 [1,1,1,3,5]=>6 [1,1,1,5,3]=>6 [1,1,3,1,5]=>6 [1,1,3,5,1]=>6 [1,1,5,1,3]=>6 [1,1,5,3,1]=>6 [1,3,1,1,5]=>6 [1,3,1,5,1]=>6 [1,3,5,1,1]=>6 [1,5,1,1,3]=>6 [1,5,1,3,1]=>6 [1,5,3,1,1]=>6 [3,1,1,1,5]=>6 [3,1,1,5,1]=>6 [3,1,5,1,1]=>6 [3,5,1,1,1]=>6 [5,1,1,1,3]=>6 [5,1,1,3,1]=>6 [5,1,3,1,1]=>6 [5,3,1,1,1]=>6 [1,1,1,4,4]=>6 [1,1,4,1,4]=>6 [1,1,4,4,1]=>6 [1,4,1,1,4]=>6 [1,4,1,4,1]=>6 [1,4,4,1,1]=>6 [4,1,1,1,4]=>6 [4,1,1,4,1]=>6 [4,1,4,1,1]=>6 [4,4,1,1,1]=>6 [1,1,1,4,5]=>7 [1,1,1,5,4]=>7 [1,1,4,1,5]=>7 [1,1,4,5,1]=>7 [1,1,5,1,4]=>7 [1,1,5,4,1]=>7 [1,4,1,1,5]=>7 [1,4,1,5,1]=>7 [1,4,5,1,1]=>7 [1,5,1,1,4]=>7 [1,5,1,4,1]=>7 [1,5,4,1,1]=>7 [4,1,1,1,5]=>7 [4,1,1,5,1]=>7 [4,1,5,1,1]=>7 [4,5,1,1,1]=>7 [5,1,1,1,4]=>7 [5,1,1,4,1]=>7 [5,1,4,1,1]=>7 [5,4,1,1,1]=>7 [1,1,2,2,2]=>3 [1,2,1,2,2]=>3 [1,2,2,1,2]=>3 [1,2,2,2,1]=>3 [2,1,1,2,2]=>3 [2,1,2,1,2]=>3 [2,1,2,2,1]=>3 [2,2,1,1,2]=>3 [2,2,1,2,1]=>3 [2,2,2,1,1]=>3 [1,1,2,2,3]=>4 [1,1,2,3,2]=>4 [1,1,3,2,2]=>4 [1,2,1,2,3]=>4 [1,2,1,3,2]=>4 [1,2,2,1,3]=>4 [1,2,2,3,1]=>4 [1,2,3,1,2]=>4 [1,2,3,2,1]=>4 [1,3,1,2,2]=>4 [1,3,2,1,2]=>4 [1,3,2,2,1]=>4 [2,1,1,2,3]=>4 [2,1,1,3,2]=>4 [2,1,2,1,3]=>4 [2,1,2,3,1]=>4 [2,1,3,1,2]=>4 [2,1,3,2,1]=>4 [2,2,1,1,3]=>4 [2,2,1,3,1]=>4 [2,2,3,1,1]=>4 [2,3,1,1,2]=>4 [2,3,1,2,1]=>4 [2,3,2,1,1]=>4 [3,1,1,2,2]=>4 [3,1,2,1,2]=>4 [3,1,2,2,1]=>4 [3,2,1,1,2]=>4 [3,2,1,2,1]=>4 [3,2,2,1,1]=>4 [1,1,2,2,4]=>5 [1,1,2,4,2]=>5 [1,1,4,2,2]=>5 [1,2,1,2,4]=>5 [1,2,1,4,2]=>5 [1,2,2,1,4]=>5 [1,2,2,4,1]=>5 [1,2,4,1,2]=>5 [1,2,4,2,1]=>5 [1,4,1,2,2]=>5 [1,4,2,1,2]=>5 [1,4,2,2,1]=>5 [2,1,1,2,4]=>5 [2,1,1,4,2]=>5 [2,1,2,1,4]=>5 [2,1,2,4,1]=>5 [2,1,4,1,2]=>5 [2,1,4,2,1]=>5 [2,2,1,1,4]=>5 [2,2,1,4,1]=>5 [2,2,4,1,1]=>5 [2,4,1,1,2]=>5 [2,4,1,2,1]=>5 [2,4,2,1,1]=>5 [4,1,1,2,2]=>5 [4,1,2,1,2]=>5 [4,1,2,2,1]=>5 [4,2,1,1,2]=>5 [4,2,1,2,1]=>5 [4,2,2,1,1]=>5 [1,1,2,2,5]=>6 [1,1,2,5,2]=>6 [1,1,5,2,2]=>6 [1,2,1,2,5]=>6 [1,2,1,5,2]=>6 [1,2,2,1,5]=>6 [1,2,2,5,1]=>6 [1,2,5,1,2]=>6 [1,2,5,2,1]=>6 [1,5,1,2,2]=>6 [1,5,2,1,2]=>6 [1,5,2,2,1]=>6 [2,1,1,2,5]=>6 [2,1,1,5,2]=>6 [2,1,2,1,5]=>6 [2,1,2,5,1]=>6 [2,1,5,1,2]=>6 [2,1,5,2,1]=>6 [2,2,1,1,5]=>6 [2,2,1,5,1]=>6 [2,2,5,1,1]=>6 [2,5,1,1,2]=>6 [2,5,1,2,1]=>6 [2,5,2,1,1]=>6 [5,1,1,2,2]=>6 [5,1,2,1,2]=>6 [5,1,2,2,1]=>6 [5,2,1,1,2]=>6 [5,2,1,2,1]=>6 [5,2,2,1,1]=>6 [1,1,2,3,3]=>5 [1,1,3,2,3]=>5 [1,1,3,3,2]=>5 [1,2,1,3,3]=>5 [1,2,3,1,3]=>5 [1,2,3,3,1]=>5 [1,3,1,2,3]=>5 [1,3,1,3,2]=>5 [1,3,2,1,3]=>5 [1,3,2,3,1]=>5 [1,3,3,1,2]=>5 [1,3,3,2,1]=>5 [2,1,1,3,3]=>5 [2,1,3,1,3]=>5 [2,1,3,3,1]=>5 [2,3,1,1,3]=>5 [2,3,1,3,1]=>5 [2,3,3,1,1]=>5 [3,1,1,2,3]=>5 [3,1,1,3,2]=>5 [3,1,2,1,3]=>5 [3,1,2,3,1]=>5 [3,1,3,1,2]=>5 [3,1,3,2,1]=>5 [3,2,1,1,3]=>5 [3,2,1,3,1]=>5 [3,2,3,1,1]=>5 [3,3,1,1,2]=>5 [3,3,1,2,1]=>5 [3,3,2,1,1]=>5 [1,1,2,3,4]=>6 [1,1,2,4,3]=>6 [1,1,3,2,4]=>6 [1,1,3,4,2]=>6 [1,1,4,2,3]=>6 [1,1,4,3,2]=>6 [1,2,1,3,4]=>6 [1,2,1,4,3]=>6 [1,2,3,1,4]=>6 [1,2,3,4,1]=>6 [1,2,4,1,3]=>6 [1,2,4,3,1]=>6 [1,3,1,2,4]=>6 [1,3,1,4,2]=>6 [1,3,2,1,4]=>6 [1,3,2,4,1]=>6 [1,3,4,1,2]=>6 [1,3,4,2,1]=>6 [1,4,1,2,3]=>6 [1,4,1,3,2]=>6 [1,4,2,1,3]=>6 [1,4,2,3,1]=>6 [1,4,3,1,2]=>6 [1,4,3,2,1]=>6 [2,1,1,3,4]=>6 [2,1,1,4,3]=>6 [2,1,3,1,4]=>6 [2,1,3,4,1]=>6 [2,1,4,1,3]=>6 [2,1,4,3,1]=>6 [2,3,1,1,4]=>6 [2,3,1,4,1]=>6 [2,3,4,1,1]=>6 [2,4,1,1,3]=>6 [2,4,1,3,1]=>6 [2,4,3,1,1]=>6 [3,1,1,2,4]=>6 [3,1,1,4,2]=>6 [3,1,2,1,4]=>6 [3,1,2,4,1]=>6 [3,1,4,1,2]=>6 [3,1,4,2,1]=>6 [3,2,1,1,4]=>6 [3,2,1,4,1]=>6 [3,2,4,1,1]=>6 [3,4,1,1,2]=>6 [3,4,1,2,1]=>6 [3,4,2,1,1]=>6 [4,1,1,2,3]=>6 [4,1,1,3,2]=>6 [4,1,2,1,3]=>6 [4,1,2,3,1]=>6 [4,1,3,1,2]=>6 [4,1,3,2,1]=>6 [4,2,1,1,3]=>6 [4,2,1,3,1]=>6 [4,2,3,1,1]=>6 [4,3,1,1,2]=>6 [4,3,1,2,1]=>6 [4,3,2,1,1]=>6 [1,1,2,3,5]=>7 [1,1,2,5,3]=>7 [1,1,3,2,5]=>7 [1,1,3,5,2]=>7 [1,1,5,2,3]=>7 [1,1,5,3,2]=>7 [1,2,1,3,5]=>7 [1,2,1,5,3]=>7 [1,2,3,1,5]=>7 [1,2,3,5,1]=>7 [1,2,5,1,3]=>7 [1,2,5,3,1]=>7 [1,3,1,2,5]=>7 [1,3,1,5,2]=>7 [1,3,2,1,5]=>7 [1,3,2,5,1]=>7 [1,3,5,1,2]=>7 [1,3,5,2,1]=>7 [1,5,1,2,3]=>7 [1,5,1,3,2]=>7 [1,5,2,1,3]=>7 [1,5,2,3,1]=>7 [1,5,3,1,2]=>7 [1,5,3,2,1]=>7 [2,1,1,3,5]=>7 [2,1,1,5,3]=>7 [2,1,3,1,5]=>7 [2,1,3,5,1]=>7 [2,1,5,1,3]=>7 [2,1,5,3,1]=>7 [2,3,1,1,5]=>7 [2,3,1,5,1]=>7 [2,3,5,1,1]=>7 [2,5,1,1,3]=>7 [2,5,1,3,1]=>7 [2,5,3,1,1]=>7 [3,1,1,2,5]=>7 [3,1,1,5,2]=>7 [3,1,2,1,5]=>7 [3,1,2,5,1]=>7 [3,1,5,1,2]=>7 [3,1,5,2,1]=>7 [3,2,1,1,5]=>7 [3,2,1,5,1]=>7 [3,2,5,1,1]=>7 [3,5,1,1,2]=>7 [3,5,1,2,1]=>7 [3,5,2,1,1]=>7 [5,1,1,2,3]=>7 [5,1,1,3,2]=>7 [5,1,2,1,3]=>7 [5,1,2,3,1]=>7 [5,1,3,1,2]=>7 [5,1,3,2,1]=>7 [5,2,1,1,3]=>7 [5,2,1,3,1]=>7 [5,2,3,1,1]=>7 [5,3,1,1,2]=>7 [5,3,1,2,1]=>7 [5,3,2,1,1]=>7 [1,1,2,4,4]=>7 [1,1,4,2,4]=>7 [1,1,4,4,2]=>7 [1,2,1,4,4]=>7 [1,2,4,1,4]=>7 [1,2,4,4,1]=>7 [1,4,1,2,4]=>7 [1,4,1,4,2]=>7 [1,4,2,1,4]=>7 [1,4,2,4,1]=>7 [1,4,4,1,2]=>7 [1,4,4,2,1]=>7 [2,1,1,4,4]=>7 [2,1,4,1,4]=>7 [2,1,4,4,1]=>7 [2,4,1,1,4]=>7 [2,4,1,4,1]=>7 [2,4,4,1,1]=>7 [4,1,1,2,4]=>7 [4,1,1,4,2]=>7 [4,1,2,1,4]=>7 [4,1,2,4,1]=>7 [4,1,4,1,2]=>7 [4,1,4,2,1]=>7 [4,2,1,1,4]=>7 [4,2,1,4,1]=>7 [4,2,4,1,1]=>7 [4,4,1,1,2]=>7 [4,4,1,2,1]=>7 [4,4,2,1,1]=>7 [1,1,2,4,5]=>8 [1,1,2,5,4]=>8 [1,1,4,2,5]=>8 [1,1,4,5,2]=>8 [1,1,5,2,4]=>8 [1,1,5,4,2]=>8 [1,2,1,4,5]=>8 [1,2,1,5,4]=>8 [1,2,4,1,5]=>8 [1,2,4,5,1]=>8 [1,2,5,1,4]=>8 [1,2,5,4,1]=>8 [1,4,1,2,5]=>8 [1,4,1,5,2]=>8 [1,4,2,1,5]=>8 [1,4,2,5,1]=>8 [1,4,5,1,2]=>8 [1,4,5,2,1]=>8 [1,5,1,2,4]=>8 [1,5,1,4,2]=>8 [1,5,2,1,4]=>8 [1,5,2,4,1]=>8 [1,5,4,1,2]=>8 [1,5,4,2,1]=>8 [2,1,1,4,5]=>8 [2,1,1,5,4]=>8 [2,1,4,1,5]=>8 [2,1,4,5,1]=>8 [2,1,5,1,4]=>8 [2,1,5,4,1]=>8 [2,4,1,1,5]=>8 [2,4,1,5,1]=>8 [2,4,5,1,1]=>8 [2,5,1,1,4]=>8 [2,5,1,4,1]=>8 [2,5,4,1,1]=>8 [4,1,1,2,5]=>8 [4,1,1,5,2]=>8 [4,1,2,1,5]=>8 [4,1,2,5,1]=>8 [4,1,5,1,2]=>8 [4,1,5,2,1]=>8 [4,2,1,1,5]=>8 [4,2,1,5,1]=>8 [4,2,5,1,1]=>8 [4,5,1,1,2]=>8 [4,5,1,2,1]=>8 [4,5,2,1,1]=>8 [5,1,1,2,4]=>8 [5,1,1,4,2]=>8 [5,1,2,1,4]=>8 [5,1,2,4,1]=>8 [5,1,4,1,2]=>8 [5,1,4,2,1]=>8 [5,2,1,1,4]=>8 [5,2,1,4,1]=>8 [5,2,4,1,1]=>8 [5,4,1,1,2]=>8 [5,4,1,2,1]=>8 [5,4,2,1,1]=>8 [1,1,3,3,3]=>6 [1,3,1,3,3]=>6 [1,3,3,1,3]=>6 [1,3,3,3,1]=>6 [3,1,1,3,3]=>6 [3,1,3,1,3]=>6 [3,1,3,3,1]=>6 [3,3,1,1,3]=>6 [3,3,1,3,1]=>6 [3,3,3,1,1]=>6 [1,1,3,3,4]=>7 [1,1,3,4,3]=>7 [1,1,4,3,3]=>7 [1,3,1,3,4]=>7 [1,3,1,4,3]=>7 [1,3,3,1,4]=>7 [1,3,3,4,1]=>7 [1,3,4,1,3]=>7 [1,3,4,3,1]=>7 [1,4,1,3,3]=>7 [1,4,3,1,3]=>7 [1,4,3,3,1]=>7 [3,1,1,3,4]=>7 [3,1,1,4,3]=>7 [3,1,3,1,4]=>7 [3,1,3,4,1]=>7 [3,1,4,1,3]=>7 [3,1,4,3,1]=>7 [3,3,1,1,4]=>7 [3,3,1,4,1]=>7 [3,3,4,1,1]=>7 [3,4,1,1,3]=>7 [3,4,1,3,1]=>7 [3,4,3,1,1]=>7 [4,1,1,3,3]=>7 [4,1,3,1,3]=>7 [4,1,3,3,1]=>7 [4,3,1,1,3]=>7 [4,3,1,3,1]=>7 [4,3,3,1,1]=>7 [1,1,3,3,5]=>8 [1,1,3,5,3]=>8 [1,1,5,3,3]=>8 [1,3,1,3,5]=>8 [1,3,1,5,3]=>8 [1,3,3,1,5]=>8 [1,3,3,5,1]=>8 [1,3,5,1,3]=>8 [1,3,5,3,1]=>8 [1,5,1,3,3]=>8 [1,5,3,1,3]=>8 [1,5,3,3,1]=>8 [3,1,1,3,5]=>8 [3,1,1,5,3]=>8 [3,1,3,1,5]=>8 [3,1,3,5,1]=>8 [3,1,5,1,3]=>8 [3,1,5,3,1]=>8 [3,3,1,1,5]=>8 [3,3,1,5,1]=>8 [3,3,5,1,1]=>8 [3,5,1,1,3]=>8 [3,5,1,3,1]=>8 [3,5,3,1,1]=>8 [5,1,1,3,3]=>8 [5,1,3,1,3]=>8 [5,1,3,3,1]=>8 [5,3,1,1,3]=>8 [5,3,1,3,1]=>8 [5,3,3,1,1]=>8 [1,1,3,4,4]=>8 [1,1,4,3,4]=>8 [1,1,4,4,3]=>8 [1,3,1,4,4]=>8 [1,3,4,1,4]=>8 [1,3,4,4,1]=>8 [1,4,1,3,4]=>8 [1,4,1,4,3]=>8 [1,4,3,1,4]=>8 [1,4,3,4,1]=>8 [1,4,4,1,3]=>8 [1,4,4,3,1]=>8 [3,1,1,4,4]=>8 [3,1,4,1,4]=>8 [3,1,4,4,1]=>8 [3,4,1,1,4]=>8 [3,4,1,4,1]=>8 [3,4,4,1,1]=>8 [4,1,1,3,4]=>8 [4,1,1,4,3]=>8 [4,1,3,1,4]=>8 [4,1,3,4,1]=>8 [4,1,4,1,3]=>8 [4,1,4,3,1]=>8 [4,3,1,1,4]=>8 [4,3,1,4,1]=>8 [4,3,4,1,1]=>8 [4,4,1,1,3]=>8 [4,4,1,3,1]=>8 [4,4,3,1,1]=>8 [1,1,3,4,5]=>9 [1,1,3,5,4]=>9 [1,1,4,3,5]=>9 [1,1,4,5,3]=>9 [1,1,5,3,4]=>9 [1,1,5,4,3]=>9 [1,3,1,4,5]=>9 [1,3,1,5,4]=>9 [1,3,4,1,5]=>9 [1,3,4,5,1]=>9 [1,3,5,1,4]=>9 [1,3,5,4,1]=>9 [1,4,1,3,5]=>9 [1,4,1,5,3]=>9 [1,4,3,1,5]=>9 [1,4,3,5,1]=>9 [1,4,5,1,3]=>9 [1,4,5,3,1]=>9 [1,5,1,3,4]=>9 [1,5,1,4,3]=>9 [1,5,3,1,4]=>9 [1,5,3,4,1]=>9 [1,5,4,1,3]=>9 [1,5,4,3,1]=>9 [3,1,1,4,5]=>9 [3,1,1,5,4]=>9 [3,1,4,1,5]=>9 [3,1,4,5,1]=>9 [3,1,5,1,4]=>9 [3,1,5,4,1]=>9 [3,4,1,1,5]=>9 [3,4,1,5,1]=>9 [3,4,5,1,1]=>9 [3,5,1,1,4]=>9 [3,5,1,4,1]=>9 [3,5,4,1,1]=>9 [4,1,1,3,5]=>9 [4,1,1,5,3]=>9 [4,1,3,1,5]=>9 [4,1,3,5,1]=>9 [4,1,5,1,3]=>9 [4,1,5,3,1]=>9 [4,3,1,1,5]=>9 [4,3,1,5,1]=>9 [4,3,5,1,1]=>9 [4,5,1,1,3]=>9 [4,5,1,3,1]=>9 [4,5,3,1,1]=>9 [5,1,1,3,4]=>9 [5,1,1,4,3]=>9 [5,1,3,1,4]=>9 [5,1,3,4,1]=>9 [5,1,4,1,3]=>9 [5,1,4,3,1]=>9 [5,3,1,1,4]=>9 [5,3,1,4,1]=>9 [5,3,4,1,1]=>9 [5,4,1,1,3]=>9 [5,4,1,3,1]=>9 [5,4,3,1,1]=>9 [1,2,2,2,2]=>4 [2,1,2,2,2]=>4 [2,2,1,2,2]=>4 [2,2,2,1,2]=>4 [2,2,2,2,1]=>4 [1,2,2,2,3]=>5 [1,2,2,3,2]=>5 [1,2,3,2,2]=>5 [1,3,2,2,2]=>5 [2,1,2,2,3]=>5 [2,1,2,3,2]=>5 [2,1,3,2,2]=>5 [2,2,1,2,3]=>5 [2,2,1,3,2]=>5 [2,2,2,1,3]=>5 [2,2,2,3,1]=>5 [2,2,3,1,2]=>5 [2,2,3,2,1]=>5 [2,3,1,2,2]=>5 [2,3,2,1,2]=>5 [2,3,2,2,1]=>5 [3,1,2,2,2]=>5 [3,2,1,2,2]=>5 [3,2,2,1,2]=>5 [3,2,2,2,1]=>5 [1,2,2,2,4]=>6 [1,2,2,4,2]=>6 [1,2,4,2,2]=>6 [1,4,2,2,2]=>6 [2,1,2,2,4]=>6 [2,1,2,4,2]=>6 [2,1,4,2,2]=>6 [2,2,1,2,4]=>6 [2,2,1,4,2]=>6 [2,2,2,1,4]=>6 [2,2,2,4,1]=>6 [2,2,4,1,2]=>6 [2,2,4,2,1]=>6 [2,4,1,2,2]=>6 [2,4,2,1,2]=>6 [2,4,2,2,1]=>6 [4,1,2,2,2]=>6 [4,2,1,2,2]=>6 [4,2,2,1,2]=>6 [4,2,2,2,1]=>6 [1,2,2,2,5]=>7 [1,2,2,5,2]=>7 [1,2,5,2,2]=>7 [1,5,2,2,2]=>7 [2,1,2,2,5]=>7 [2,1,2,5,2]=>7 [2,1,5,2,2]=>7 [2,2,1,2,5]=>7 [2,2,1,5,2]=>7 [2,2,2,1,5]=>7 [2,2,2,5,1]=>7 [2,2,5,1,2]=>7 [2,2,5,2,1]=>7 [2,5,1,2,2]=>7 [2,5,2,1,2]=>7 [2,5,2,2,1]=>7 [5,1,2,2,2]=>7 [5,2,1,2,2]=>7 [5,2,2,1,2]=>7 [5,2,2,2,1]=>7 [1,2,2,3,3]=>6 [1,2,3,2,3]=>6 [1,2,3,3,2]=>6 [1,3,2,2,3]=>6 [1,3,2,3,2]=>6 [1,3,3,2,2]=>6 [2,1,2,3,3]=>6 [2,1,3,2,3]=>6 [2,1,3,3,2]=>6 [2,2,1,3,3]=>6 [2,2,3,1,3]=>6 [2,2,3,3,1]=>6 [2,3,1,2,3]=>6 [2,3,1,3,2]=>6 [2,3,2,1,3]=>6 [2,3,2,3,1]=>6 [2,3,3,1,2]=>6 [2,3,3,2,1]=>6 [3,1,2,2,3]=>6 [3,1,2,3,2]=>6 [3,1,3,2,2]=>6 [3,2,1,2,3]=>6 [3,2,1,3,2]=>6 [3,2,2,1,3]=>6 [3,2,2,3,1]=>6 [3,2,3,1,2]=>6 [3,2,3,2,1]=>6 [3,3,1,2,2]=>6 [3,3,2,1,2]=>6 [3,3,2,2,1]=>6 [1,2,2,3,4]=>7 [1,2,2,4,3]=>7 [1,2,3,2,4]=>7 [1,2,3,4,2]=>7 [1,2,4,2,3]=>7 [1,2,4,3,2]=>7 [1,3,2,2,4]=>7 [1,3,2,4,2]=>7 [1,3,4,2,2]=>7 [1,4,2,2,3]=>7 [1,4,2,3,2]=>7 [1,4,3,2,2]=>7 [2,1,2,3,4]=>7 [2,1,2,4,3]=>7 [2,1,3,2,4]=>7 [2,1,3,4,2]=>7 [2,1,4,2,3]=>7 [2,1,4,3,2]=>7 [2,2,1,3,4]=>7 [2,2,1,4,3]=>7 [2,2,3,1,4]=>7 [2,2,3,4,1]=>7 [2,2,4,1,3]=>7 [2,2,4,3,1]=>7 [2,3,1,2,4]=>7 [2,3,1,4,2]=>7 [2,3,2,1,4]=>7 [2,3,2,4,1]=>7 [2,3,4,1,2]=>7 [2,3,4,2,1]=>7 [2,4,1,2,3]=>7 [2,4,1,3,2]=>7 [2,4,2,1,3]=>7 [2,4,2,3,1]=>7 [2,4,3,1,2]=>7 [2,4,3,2,1]=>7 [3,1,2,2,4]=>7 [3,1,2,4,2]=>7 [3,1,4,2,2]=>7 [3,2,1,2,4]=>7 [3,2,1,4,2]=>7 [3,2,2,1,4]=>7 [3,2,2,4,1]=>7 [3,2,4,1,2]=>7 [3,2,4,2,1]=>7 [3,4,1,2,2]=>7 [3,4,2,1,2]=>7 [3,4,2,2,1]=>7 [4,1,2,2,3]=>7 [4,1,2,3,2]=>7 [4,1,3,2,2]=>7 [4,2,1,2,3]=>7 [4,2,1,3,2]=>7 [4,2,2,1,3]=>7 [4,2,2,3,1]=>7 [4,2,3,1,2]=>7 [4,2,3,2,1]=>7 [4,3,1,2,2]=>7 [4,3,2,1,2]=>7 [4,3,2,2,1]=>7 [1,2,2,3,5]=>8 [1,2,2,5,3]=>8 [1,2,3,2,5]=>8 [1,2,3,5,2]=>8 [1,2,5,2,3]=>8 [1,2,5,3,2]=>8 [1,3,2,2,5]=>8 [1,3,2,5,2]=>8 [1,3,5,2,2]=>8 [1,5,2,2,3]=>8 [1,5,2,3,2]=>8 [1,5,3,2,2]=>8 [2,1,2,3,5]=>8 [2,1,2,5,3]=>8 [2,1,3,2,5]=>8 [2,1,3,5,2]=>8 [2,1,5,2,3]=>8 [2,1,5,3,2]=>8 [2,2,1,3,5]=>8 [2,2,1,5,3]=>8 [2,2,3,1,5]=>8 [2,2,3,5,1]=>8 [2,2,5,1,3]=>8 [2,2,5,3,1]=>8 [2,3,1,2,5]=>8 [2,3,1,5,2]=>8 [2,3,2,1,5]=>8 [2,3,2,5,1]=>8 [2,3,5,1,2]=>8 [2,3,5,2,1]=>8 [2,5,1,2,3]=>8 [2,5,1,3,2]=>8 [2,5,2,1,3]=>8 [2,5,2,3,1]=>8 [2,5,3,1,2]=>8 [2,5,3,2,1]=>8 [3,1,2,2,5]=>8 [3,1,2,5,2]=>8 [3,1,5,2,2]=>8 [3,2,1,2,5]=>8 [3,2,1,5,2]=>8 [3,2,2,1,5]=>8 [3,2,2,5,1]=>8 [3,2,5,1,2]=>8 [3,2,5,2,1]=>8 [3,5,1,2,2]=>8 [3,5,2,1,2]=>8 [3,5,2,2,1]=>8 [5,1,2,2,3]=>8 [5,1,2,3,2]=>8 [5,1,3,2,2]=>8 [5,2,1,2,3]=>8 [5,2,1,3,2]=>8 [5,2,2,1,3]=>8 [5,2,2,3,1]=>8 [5,2,3,1,2]=>8 [5,2,3,2,1]=>8 [5,3,1,2,2]=>8 [5,3,2,1,2]=>8 [5,3,2,2,1]=>8 [1,2,2,4,4]=>8 [1,2,4,2,4]=>8 [1,2,4,4,2]=>8 [1,4,2,2,4]=>8 [1,4,2,4,2]=>8 [1,4,4,2,2]=>8 [2,1,2,4,4]=>8 [2,1,4,2,4]=>8 [2,1,4,4,2]=>8 [2,2,1,4,4]=>8 [2,2,4,1,4]=>8 [2,2,4,4,1]=>8 [2,4,1,2,4]=>8 [2,4,1,4,2]=>8 [2,4,2,1,4]=>8 [2,4,2,4,1]=>8 [2,4,4,1,2]=>8 [2,4,4,2,1]=>8 [4,1,2,2,4]=>8 [4,1,2,4,2]=>8 [4,1,4,2,2]=>8 [4,2,1,2,4]=>8 [4,2,1,4,2]=>8 [4,2,2,1,4]=>8 [4,2,2,4,1]=>8 [4,2,4,1,2]=>8 [4,2,4,2,1]=>8 [4,4,1,2,2]=>8 [4,4,2,1,2]=>8 [4,4,2,2,1]=>8 [1,2,2,4,5]=>9 [1,2,2,5,4]=>9 [1,2,4,2,5]=>9 [1,2,4,5,2]=>9 [1,2,5,2,4]=>9 [1,2,5,4,2]=>9 [1,4,2,2,5]=>9 [1,4,2,5,2]=>9 [1,4,5,2,2]=>9 [1,5,2,2,4]=>9 [1,5,2,4,2]=>9 [1,5,4,2,2]=>9 [2,1,2,4,5]=>9 [2,1,2,5,4]=>9 [2,1,4,2,5]=>9 [2,1,4,5,2]=>9 [2,1,5,2,4]=>9 [2,1,5,4,2]=>9 [2,2,1,4,5]=>9 [2,2,1,5,4]=>9 [2,2,4,1,5]=>9 [2,2,4,5,1]=>9 [2,2,5,1,4]=>9 [2,2,5,4,1]=>9 [2,4,1,2,5]=>9 [2,4,1,5,2]=>9 [2,4,2,1,5]=>9 [2,4,2,5,1]=>9 [2,4,5,1,2]=>9 [2,4,5,2,1]=>9 [2,5,1,2,4]=>9 [2,5,1,4,2]=>9 [2,5,2,1,4]=>9 [2,5,2,4,1]=>9 [2,5,4,1,2]=>9 [2,5,4,2,1]=>9 [4,1,2,2,5]=>9 [4,1,2,5,2]=>9 [4,1,5,2,2]=>9 [4,2,1,2,5]=>9 [4,2,1,5,2]=>9 [4,2,2,1,5]=>9 [4,2,2,5,1]=>9 [4,2,5,1,2]=>9 [4,2,5,2,1]=>9 [4,5,1,2,2]=>9 [4,5,2,1,2]=>9 [4,5,2,2,1]=>9 [5,1,2,2,4]=>9 [5,1,2,4,2]=>9 [5,1,4,2,2]=>9 [5,2,1,2,4]=>9 [5,2,1,4,2]=>9 [5,2,2,1,4]=>9 [5,2,2,4,1]=>9 [5,2,4,1,2]=>9 [5,2,4,2,1]=>9 [5,4,1,2,2]=>9 [5,4,2,1,2]=>9 [5,4,2,2,1]=>9 [1,2,3,3,3]=>7 [1,3,2,3,3]=>7 [1,3,3,2,3]=>7 [1,3,3,3,2]=>7 [2,1,3,3,3]=>7 [2,3,1,3,3]=>7 [2,3,3,1,3]=>7 [2,3,3,3,1]=>7 [3,1,2,3,3]=>7 [3,1,3,2,3]=>7 [3,1,3,3,2]=>7 [3,2,1,3,3]=>7 [3,2,3,1,3]=>7 [3,2,3,3,1]=>7 [3,3,1,2,3]=>7 [3,3,1,3,2]=>7 [3,3,2,1,3]=>7 [3,3,2,3,1]=>7 [3,3,3,1,2]=>7 [3,3,3,2,1]=>7 [1,2,3,3,4]=>8 [1,2,3,4,3]=>8 [1,2,4,3,3]=>8 [1,3,2,3,4]=>8 [1,3,2,4,3]=>8 [1,3,3,2,4]=>8 [1,3,3,4,2]=>8 [1,3,4,2,3]=>8 [1,3,4,3,2]=>8 [1,4,2,3,3]=>8 [1,4,3,2,3]=>8 [1,4,3,3,2]=>8 [2,1,3,3,4]=>8 [2,1,3,4,3]=>8 [2,1,4,3,3]=>8 [2,3,1,3,4]=>8 [2,3,1,4,3]=>8 [2,3,3,1,4]=>8 [2,3,3,4,1]=>8 [2,3,4,1,3]=>8 [2,3,4,3,1]=>8 [2,4,1,3,3]=>8 [2,4,3,1,3]=>8 [2,4,3,3,1]=>8 [3,1,2,3,4]=>8 [3,1,2,4,3]=>8 [3,1,3,2,4]=>8 [3,1,3,4,2]=>8 [3,1,4,2,3]=>8 [3,1,4,3,2]=>8 [3,2,1,3,4]=>8 [3,2,1,4,3]=>8 [3,2,3,1,4]=>8 [3,2,3,4,1]=>8 [3,2,4,1,3]=>8 [3,2,4,3,1]=>8 [3,3,1,2,4]=>8 [3,3,1,4,2]=>8 [3,3,2,1,4]=>8 [3,3,2,4,1]=>8 [3,3,4,1,2]=>8 [3,3,4,2,1]=>8 [3,4,1,2,3]=>8 [3,4,1,3,2]=>8 [3,4,2,1,3]=>8 [3,4,2,3,1]=>8 [3,4,3,1,2]=>8 [3,4,3,2,1]=>8 [4,1,2,3,3]=>8 [4,1,3,2,3]=>8 [4,1,3,3,2]=>8 [4,2,1,3,3]=>8 [4,2,3,1,3]=>8 [4,2,3,3,1]=>8 [4,3,1,2,3]=>8 [4,3,1,3,2]=>8 [4,3,2,1,3]=>8 [4,3,2,3,1]=>8 [4,3,3,1,2]=>8
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Description
The sum of the entries of a parking function minus its length.
Under the standard map to labelled rooted forests, this statistic is sent to the number of inversions.
References
[1] Stanley, R. P. Hyperplane arrangements, parking functions and tree inversions MathSciNet:1627378
Code
def statistic(PF):
    return sum(PF) - len(PF)

Created
Jun 26, 2016 at 21:01 by Christian Stump
Updated
Jun 26, 2016 at 21:01 by Christian Stump