edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,1]=>1 [1,2]=>0 [2,1]=>1 [1,1,1]=>2 [1,1,2]=>2 [1,2,1]=>1 [2,1,1]=>2 [1,1,3]=>1 [1,3,1]=>1 [3,1,1]=>2 [1,2,2]=>1 [2,1,2]=>2 [2,2,1]=>1 [1,2,3]=>0 [1,3,2]=>1 [2,1,3]=>1 [2,3,1]=>1 [3,1,2]=>2 [3,2,1]=>1 [1,1,1,1]=>3 [1,1,1,2]=>3 [1,1,2,1]=>3 [1,2,1,1]=>2 [2,1,1,1]=>3 [1,1,1,3]=>3 [1,1,3,1]=>2 [1,3,1,1]=>2 [3,1,1,1]=>3 [1,1,1,4]=>2 [1,1,4,1]=>2 [1,4,1,1]=>2 [4,1,1,1]=>3 [1,1,2,2]=>3 [1,2,1,2]=>2 [1,2,2,1]=>2 [2,1,1,2]=>3 [2,1,2,1]=>3 [2,2,1,1]=>2 [1,1,2,3]=>3 [1,1,3,2]=>2 [1,2,1,3]=>2 [1,2,3,1]=>1 [1,3,1,2]=>2 [1,3,2,1]=>2 [2,1,1,3]=>3 [2,1,3,1]=>2 [2,3,1,1]=>2 [3,1,1,2]=>3 [3,1,2,1]=>3 [3,2,1,1]=>2 [1,1,2,4]=>2 [1,1,4,2]=>2 [1,2,1,4]=>1 [1,2,4,1]=>1 [1,4,1,2]=>2 [1,4,2,1]=>2 [2,1,1,4]=>2 [2,1,4,1]=>2 [2,4,1,1]=>2 [4,1,1,2]=>3 [4,1,2,1]=>3 [4,2,1,1]=>2 [1,1,3,3]=>2 [1,3,1,3]=>2 [1,3,3,1]=>1 [3,1,1,3]=>3 [3,1,3,1]=>2 [3,3,1,1]=>2 [1,1,3,4]=>1 [1,1,4,3]=>2 [1,3,1,4]=>1 [1,3,4,1]=>1 [1,4,1,3]=>2 [1,4,3,1]=>1 [3,1,1,4]=>2 [3,1,4,1]=>2 [3,4,1,1]=>2 [4,1,1,3]=>3 [4,1,3,1]=>2 [4,3,1,1]=>2 [1,2,2,2]=>2 [2,1,2,2]=>3 [2,2,1,2]=>2 [2,2,2,1]=>2 [1,2,2,3]=>2 [1,2,3,2]=>1 [1,3,2,2]=>2 [2,1,2,3]=>3 [2,1,3,2]=>2 [2,2,1,3]=>2 [2,2,3,1]=>1 [2,3,1,2]=>2 [2,3,2,1]=>2 [3,1,2,2]=>3 [3,2,1,2]=>2 [3,2,2,1]=>2 [1,2,2,4]=>1 [1,2,4,2]=>1 [1,4,2,2]=>2 [2,1,2,4]=>2 [2,1,4,2]=>2 [2,2,1,4]=>1 [2,2,4,1]=>1 [2,4,1,2]=>2 [2,4,2,1]=>2 [4,1,2,2]=>3 [4,2,1,2]=>2 [4,2,2,1]=>2 [1,2,3,3]=>1 [1,3,2,3]=>2 [1,3,3,2]=>1 [2,1,3,3]=>2 [2,3,1,3]=>2 [2,3,3,1]=>1 [3,1,2,3]=>3 [3,1,3,2]=>2 [3,2,1,3]=>2 [3,2,3,1]=>1 [3,3,1,2]=>2 [3,3,2,1]=>2 [1,2,3,4]=>0 [1,2,4,3]=>1 [1,3,2,4]=>1 [1,3,4,2]=>1 [1,4,2,3]=>2 [1,4,3,2]=>1 [2,1,3,4]=>1 [2,1,4,3]=>2 [2,3,1,4]=>1 [2,3,4,1]=>1 [2,4,1,3]=>2 [2,4,3,1]=>1 [3,1,2,4]=>2 [3,1,4,2]=>2 [3,2,1,4]=>1 [3,2,4,1]=>1 [3,4,1,2]=>2 [3,4,2,1]=>2 [4,1,2,3]=>3 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>1 [4,3,1,2]=>2 [4,3,2,1]=>2 [1,1,1,1,1]=>4 [1,1,1,1,2]=>4 [1,1,1,2,1]=>4 [1,1,2,1,1]=>4 [1,2,1,1,1]=>3 [2,1,1,1,1]=>4 [1,1,1,1,3]=>4 [1,1,1,3,1]=>4 [1,1,3,1,1]=>3 [1,3,1,1,1]=>3 [3,1,1,1,1]=>4 [1,1,1,1,4]=>4 [1,1,1,4,1]=>3 [1,1,4,1,1]=>3 [1,4,1,1,1]=>3 [4,1,1,1,1]=>4 [1,1,1,1,5]=>3 [1,1,1,5,1]=>3 [1,1,5,1,1]=>3 [1,5,1,1,1]=>3 [5,1,1,1,1]=>4 [1,1,1,2,2]=>4 [1,1,2,1,2]=>4 [1,1,2,2,1]=>4 [1,2,1,1,2]=>3 [1,2,1,2,1]=>3 [1,2,2,1,1]=>3 [2,1,1,1,2]=>4 [2,1,1,2,1]=>4 [2,1,2,1,1]=>4 [2,2,1,1,1]=>3 [1,1,1,2,3]=>4 [1,1,1,3,2]=>4 [1,1,2,1,3]=>4 [1,1,2,3,1]=>4 [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]=>2 [1,3,1,1,2]=>3 [1,3,1,2,1]=>3 [1,3,2,1,1]=>3 [2,1,1,1,3]=>4 [2,1,1,3,1]=>4 [2,1,3,1,1]=>3 [2,3,1,1,1]=>3 [3,1,1,1,2]=>4 [3,1,1,2,1]=>4 [3,1,2,1,1]=>4 [3,2,1,1,1]=>3 [1,1,1,2,4]=>4 [1,1,1,4,2]=>3 [1,1,2,1,4]=>4 [1,1,2,4,1]=>3 [1,1,4,1,2]=>3 [1,1,4,2,1]=>3 [1,2,1,1,4]=>3 [1,2,1,4,1]=>2 [1,2,4,1,1]=>2 [1,4,1,1,2]=>3 [1,4,1,2,1]=>3 [1,4,2,1,1]=>3 [2,1,1,1,4]=>4 [2,1,1,4,1]=>3 [2,1,4,1,1]=>3 [2,4,1,1,1]=>3 [4,1,1,1,2]=>4 [4,1,1,2,1]=>4 [4,1,2,1,1]=>4 [4,2,1,1,1]=>3 [1,1,1,2,5]=>3 [1,1,1,5,2]=>3 [1,1,2,1,5]=>3 [1,1,2,5,1]=>3 [1,1,5,1,2]=>3 [1,1,5,2,1]=>3 [1,2,1,1,5]=>2 [1,2,1,5,1]=>2 [1,2,5,1,1]=>2 [1,5,1,1,2]=>3 [1,5,1,2,1]=>3 [1,5,2,1,1]=>3 [2,1,1,1,5]=>3 [2,1,1,5,1]=>3 [2,1,5,1,1]=>3 [2,5,1,1,1]=>3 [5,1,1,1,2]=>4 [5,1,1,2,1]=>4 [5,1,2,1,1]=>4 [5,2,1,1,1]=>3 [1,1,1,3,3]=>4 [1,1,3,1,3]=>3 [1,1,3,3,1]=>3 [1,3,1,1,3]=>3 [1,3,1,3,1]=>3 [1,3,3,1,1]=>2 [3,1,1,1,3]=>4 [3,1,1,3,1]=>4 [3,1,3,1,1]=>3 [3,3,1,1,1]=>3 [1,1,1,3,4]=>4 [1,1,1,4,3]=>3 [1,1,3,1,4]=>3 [1,1,3,4,1]=>2 [1,1,4,1,3]=>3 [1,1,4,3,1]=>3 [1,3,1,1,4]=>3 [1,3,1,4,1]=>2 [1,3,4,1,1]=>2 [1,4,1,1,3]=>3 [1,4,1,3,1]=>3 [1,4,3,1,1]=>2 [3,1,1,1,4]=>4 [3,1,1,4,1]=>3 [3,1,4,1,1]=>3 [3,4,1,1,1]=>3 [4,1,1,1,3]=>4 [4,1,1,3,1]=>4 [4,1,3,1,1]=>3 [4,3,1,1,1]=>3 [1,1,1,3,5]=>3 [1,1,1,5,3]=>3 [1,1,3,1,5]=>2 [1,1,3,5,1]=>2 [1,1,5,1,3]=>3 [1,1,5,3,1]=>3 [1,3,1,1,5]=>2 [1,3,1,5,1]=>2 [1,3,5,1,1]=>2 [1,5,1,1,3]=>3 [1,5,1,3,1]=>3 [1,5,3,1,1]=>2 [3,1,1,1,5]=>3 [3,1,1,5,1]=>3 [3,1,5,1,1]=>3 [3,5,1,1,1]=>3 [5,1,1,1,3]=>4 [5,1,1,3,1]=>4 [5,1,3,1,1]=>3 [5,3,1,1,1]=>3 [1,1,1,4,4]=>3 [1,1,4,1,4]=>3 [1,1,4,4,1]=>2 [1,4,1,1,4]=>3 [1,4,1,4,1]=>2 [1,4,4,1,1]=>2 [4,1,1,1,4]=>4 [4,1,1,4,1]=>3 [4,1,4,1,1]=>3 [4,4,1,1,1]=>3 [1,1,1,4,5]=>2 [1,1,1,5,4]=>3 [1,1,4,1,5]=>2 [1,1,4,5,1]=>2 [1,1,5,1,4]=>3 [1,1,5,4,1]=>2 [1,4,1,1,5]=>2 [1,4,1,5,1]=>2 [1,4,5,1,1]=>2 [1,5,1,1,4]=>3 [1,5,1,4,1]=>2 [1,5,4,1,1]=>2 [4,1,1,1,5]=>3 [4,1,1,5,1]=>3 [4,1,5,1,1]=>3 [4,5,1,1,1]=>3 [5,1,1,1,4]=>4 [5,1,1,4,1]=>3 [5,1,4,1,1]=>3 [5,4,1,1,1]=>3 [1,1,2,2,2]=>4 [1,2,1,2,2]=>3 [1,2,2,1,2]=>3 [1,2,2,2,1]=>3 [2,1,1,2,2]=>4 [2,1,2,1,2]=>4 [2,1,2,2,1]=>4 [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]=>3 [1,2,1,2,3]=>3 [1,2,1,3,2]=>3 [1,2,2,1,3]=>3 [1,2,2,3,1]=>3 [1,2,3,1,2]=>2 [1,2,3,2,1]=>2 [1,3,1,2,2]=>3 [1,3,2,1,2]=>3 [1,3,2,2,1]=>3 [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]=>3 [2,1,3,2,1]=>3 [2,2,1,1,3]=>3 [2,2,1,3,1]=>3 [2,2,3,1,1]=>2 [2,3,1,1,2]=>3 [2,3,1,2,1]=>3 [2,3,2,1,1]=>3 [3,1,1,2,2]=>4 [3,1,2,1,2]=>4 [3,1,2,2,1]=>4 [3,2,1,1,2]=>3 [3,2,1,2,1]=>3 [3,2,2,1,1]=>3 [1,1,2,2,4]=>4 [1,1,2,4,2]=>3 [1,1,4,2,2]=>3 [1,2,1,2,4]=>3 [1,2,1,4,2]=>2 [1,2,2,1,4]=>3 [1,2,2,4,1]=>2 [1,2,4,1,2]=>2 [1,2,4,2,1]=>2 [1,4,1,2,2]=>3 [1,4,2,1,2]=>3 [1,4,2,2,1]=>3 [2,1,1,2,4]=>4 [2,1,1,4,2]=>3 [2,1,2,1,4]=>4 [2,1,2,4,1]=>3 [2,1,4,1,2]=>3 [2,1,4,2,1]=>3 [2,2,1,1,4]=>3 [2,2,1,4,1]=>2 [2,2,4,1,1]=>2 [2,4,1,1,2]=>3 [2,4,1,2,1]=>3 [2,4,2,1,1]=>3 [4,1,1,2,2]=>4 [4,1,2,1,2]=>4 [4,1,2,2,1]=>4 [4,2,1,1,2]=>3 [4,2,1,2,1]=>3 [4,2,2,1,1]=>3 [1,1,2,2,5]=>3 [1,1,2,5,2]=>3 [1,1,5,2,2]=>3 [1,2,1,2,5]=>2 [1,2,1,5,2]=>2 [1,2,2,1,5]=>2 [1,2,2,5,1]=>2 [1,2,5,1,2]=>2 [1,2,5,2,1]=>2 [1,5,1,2,2]=>3 [1,5,2,1,2]=>3 [1,5,2,2,1]=>3 [2,1,1,2,5]=>3 [2,1,1,5,2]=>3 [2,1,2,1,5]=>3 [2,1,2,5,1]=>3 [2,1,5,1,2]=>3 [2,1,5,2,1]=>3 [2,2,1,1,5]=>2 [2,2,1,5,1]=>2 [2,2,5,1,1]=>2 [2,5,1,1,2]=>3 [2,5,1,2,1]=>3 [2,5,2,1,1]=>3 [5,1,1,2,2]=>4 [5,1,2,1,2]=>4 [5,1,2,2,1]=>4 [5,2,1,1,2]=>3 [5,2,1,2,1]=>3 [5,2,2,1,1]=>3 [1,1,2,3,3]=>4 [1,1,3,2,3]=>3 [1,1,3,3,2]=>3 [1,2,1,3,3]=>3 [1,2,3,1,3]=>2 [1,2,3,3,1]=>2 [1,3,1,2,3]=>3 [1,3,1,3,2]=>3 [1,3,2,1,3]=>3 [1,3,2,3,1]=>3 [1,3,3,1,2]=>2 [1,3,3,2,1]=>2 [2,1,1,3,3]=>4 [2,1,3,1,3]=>3 [2,1,3,3,1]=>3 [2,3,1,1,3]=>3 [2,3,1,3,1]=>3 [2,3,3,1,1]=>2 [3,1,1,2,3]=>4 [3,1,1,3,2]=>4 [3,1,2,1,3]=>4 [3,1,2,3,1]=>4 [3,1,3,1,2]=>3 [3,1,3,2,1]=>3 [3,2,1,1,3]=>3 [3,2,1,3,1]=>3 [3,2,3,1,1]=>2 [3,3,1,1,2]=>3 [3,3,1,2,1]=>3 [3,3,2,1,1]=>3 [1,1,2,3,4]=>4 [1,1,2,4,3]=>3 [1,1,3,2,4]=>3 [1,1,3,4,2]=>2 [1,1,4,2,3]=>3 [1,1,4,3,2]=>3 [1,2,1,3,4]=>3 [1,2,1,4,3]=>2 [1,2,3,1,4]=>2 [1,2,3,4,1]=>1 [1,2,4,1,3]=>2 [1,2,4,3,1]=>2 [1,3,1,2,4]=>3 [1,3,1,4,2]=>2 [1,3,2,1,4]=>3 [1,3,2,4,1]=>2 [1,3,4,1,2]=>2 [1,3,4,2,1]=>2 [1,4,1,2,3]=>3 [1,4,1,3,2]=>3 [1,4,2,1,3]=>3 [1,4,2,3,1]=>3 [1,4,3,1,2]=>2 [1,4,3,2,1]=>2 [2,1,1,3,4]=>4 [2,1,1,4,3]=>3 [2,1,3,1,4]=>3 [2,1,3,4,1]=>2 [2,1,4,1,3]=>3 [2,1,4,3,1]=>3 [2,3,1,1,4]=>3 [2,3,1,4,1]=>2 [2,3,4,1,1]=>2 [2,4,1,1,3]=>3 [2,4,1,3,1]=>3 [2,4,3,1,1]=>2 [3,1,1,2,4]=>4 [3,1,1,4,2]=>3 [3,1,2,1,4]=>4 [3,1,2,4,1]=>3 [3,1,4,1,2]=>3 [3,1,4,2,1]=>3 [3,2,1,1,4]=>3 [3,2,1,4,1]=>2 [3,2,4,1,1]=>2 [3,4,1,1,2]=>3 [3,4,1,2,1]=>3 [3,4,2,1,1]=>3 [4,1,1,2,3]=>4 [4,1,1,3,2]=>4 [4,1,2,1,3]=>4 [4,1,2,3,1]=>4 [4,1,3,1,2]=>3 [4,1,3,2,1]=>3 [4,2,1,1,3]=>3 [4,2,1,3,1]=>3 [4,2,3,1,1]=>2 [4,3,1,1,2]=>3 [4,3,1,2,1]=>3 [4,3,2,1,1]=>3 [1,1,2,3,5]=>3 [1,1,2,5,3]=>3 [1,1,3,2,5]=>2 [1,1,3,5,2]=>2 [1,1,5,2,3]=>3 [1,1,5,3,2]=>3 [1,2,1,3,5]=>2 [1,2,1,5,3]=>2 [1,2,3,1,5]=>1 [1,2,3,5,1]=>1 [1,2,5,1,3]=>2 [1,2,5,3,1]=>2 [1,3,1,2,5]=>2 [1,3,1,5,2]=>2 [1,3,2,1,5]=>2 [1,3,2,5,1]=>2 [1,3,5,1,2]=>2 [1,3,5,2,1]=>2 [1,5,1,2,3]=>3 [1,5,1,3,2]=>3 [1,5,2,1,3]=>3 [1,5,2,3,1]=>3 [1,5,3,1,2]=>2 [1,5,3,2,1]=>2 [2,1,1,3,5]=>3 [2,1,1,5,3]=>3 [2,1,3,1,5]=>2 [2,1,3,5,1]=>2 [2,1,5,1,3]=>3 [2,1,5,3,1]=>3 [2,3,1,1,5]=>2 [2,3,1,5,1]=>2 [2,3,5,1,1]=>2 [2,5,1,1,3]=>3 [2,5,1,3,1]=>3 [2,5,3,1,1]=>2 [3,1,1,2,5]=>3 [3,1,1,5,2]=>3 [3,1,2,1,5]=>3 [3,1,2,5,1]=>3 [3,1,5,1,2]=>3 [3,1,5,2,1]=>3 [3,2,1,1,5]=>2 [3,2,1,5,1]=>2 [3,2,5,1,1]=>2 [3,5,1,1,2]=>3 [3,5,1,2,1]=>3 [3,5,2,1,1]=>3 [5,1,1,2,3]=>4 [5,1,1,3,2]=>4 [5,1,2,1,3]=>4 [5,1,2,3,1]=>4 [5,1,3,1,2]=>3 [5,1,3,2,1]=>3 [5,2,1,1,3]=>3 [5,2,1,3,1]=>3 [5,2,3,1,1]=>2 [5,3,1,1,2]=>3 [5,3,1,2,1]=>3 [5,3,2,1,1]=>3 [1,1,2,4,4]=>3 [1,1,4,2,4]=>3 [1,1,4,4,2]=>2 [1,2,1,4,4]=>2 [1,2,4,1,4]=>2 [1,2,4,4,1]=>1 [1,4,1,2,4]=>3 [1,4,1,4,2]=>2 [1,4,2,1,4]=>3 [1,4,2,4,1]=>2 [1,4,4,1,2]=>2 [1,4,4,2,1]=>2 [2,1,1,4,4]=>3 [2,1,4,1,4]=>3 [2,1,4,4,1]=>2 [2,4,1,1,4]=>3 [2,4,1,4,1]=>2 [2,4,4,1,1]=>2 [4,1,1,2,4]=>4 [4,1,1,4,2]=>3 [4,1,2,1,4]=>4 [4,1,2,4,1]=>3 [4,1,4,1,2]=>3 [4,1,4,2,1]=>3 [4,2,1,1,4]=>3 [4,2,1,4,1]=>2 [4,2,4,1,1]=>2 [4,4,1,1,2]=>3 [4,4,1,2,1]=>3 [4,4,2,1,1]=>3 [1,1,2,4,5]=>2 [1,1,2,5,4]=>3 [1,1,4,2,5]=>2 [1,1,4,5,2]=>2 [1,1,5,2,4]=>3 [1,1,5,4,2]=>2 [1,2,1,4,5]=>1 [1,2,1,5,4]=>2 [1,2,4,1,5]=>1 [1,2,4,5,1]=>1 [1,2,5,1,4]=>2 [1,2,5,4,1]=>1 [1,4,1,2,5]=>2 [1,4,1,5,2]=>2 [1,4,2,1,5]=>2 [1,4,2,5,1]=>2 [1,4,5,1,2]=>2 [1,4,5,2,1]=>2 [1,5,1,2,4]=>3 [1,5,1,4,2]=>2 [1,5,2,1,4]=>3 [1,5,2,4,1]=>2 [1,5,4,1,2]=>2 [1,5,4,2,1]=>2 [2,1,1,4,5]=>2 [2,1,1,5,4]=>3 [2,1,4,1,5]=>2 [2,1,4,5,1]=>2 [2,1,5,1,4]=>3 [2,1,5,4,1]=>2 [2,4,1,1,5]=>2 [2,4,1,5,1]=>2 [2,4,5,1,1]=>2 [2,5,1,1,4]=>3 [2,5,1,4,1]=>2 [2,5,4,1,1]=>2 [4,1,1,2,5]=>3 [4,1,1,5,2]=>3 [4,1,2,1,5]=>3 [4,1,2,5,1]=>3 [4,1,5,1,2]=>3 [4,1,5,2,1]=>3 [4,2,1,1,5]=>2 [4,2,1,5,1]=>2 [4,2,5,1,1]=>2 [4,5,1,1,2]=>3 [4,5,1,2,1]=>3 [4,5,2,1,1]=>3 [5,1,1,2,4]=>4 [5,1,1,4,2]=>3 [5,1,2,1,4]=>4 [5,1,2,4,1]=>3 [5,1,4,1,2]=>3 [5,1,4,2,1]=>3 [5,2,1,1,4]=>3 [5,2,1,4,1]=>2 [5,2,4,1,1]=>2 [5,4,1,1,2]=>3 [5,4,1,2,1]=>3 [5,4,2,1,1]=>3 [1,1,3,3,3]=>3 [1,3,1,3,3]=>3 [1,3,3,1,3]=>2 [1,3,3,3,1]=>2 [3,1,1,3,3]=>4 [3,1,3,1,3]=>3 [3,1,3,3,1]=>3 [3,3,1,1,3]=>3 [3,3,1,3,1]=>3 [3,3,3,1,1]=>2 [1,1,3,3,4]=>3 [1,1,3,4,3]=>2 [1,1,4,3,3]=>3 [1,3,1,3,4]=>3 [1,3,1,4,3]=>2 [1,3,3,1,4]=>2 [1,3,3,4,1]=>1 [1,3,4,1,3]=>2 [1,3,4,3,1]=>2 [1,4,1,3,3]=>3 [1,4,3,1,3]=>2 [1,4,3,3,1]=>2 [3,1,1,3,4]=>4 [3,1,1,4,3]=>3 [3,1,3,1,4]=>3 [3,1,3,4,1]=>2 [3,1,4,1,3]=>3 [3,1,4,3,1]=>3 [3,3,1,1,4]=>3 [3,3,1,4,1]=>2 [3,3,4,1,1]=>2 [3,4,1,1,3]=>3 [3,4,1,3,1]=>3 [3,4,3,1,1]=>2 [4,1,1,3,3]=>4 [4,1,3,1,3]=>3 [4,1,3,3,1]=>3 [4,3,1,1,3]=>3 [4,3,1,3,1]=>3 [4,3,3,1,1]=>2 [1,1,3,3,5]=>2 [1,1,3,5,3]=>2 [1,1,5,3,3]=>3 [1,3,1,3,5]=>2 [1,3,1,5,3]=>2 [1,3,3,1,5]=>1 [1,3,3,5,1]=>1 [1,3,5,1,3]=>2 [1,3,5,3,1]=>2 [1,5,1,3,3]=>3 [1,5,3,1,3]=>2 [1,5,3,3,1]=>2 [3,1,1,3,5]=>3 [3,1,1,5,3]=>3 [3,1,3,1,5]=>2 [3,1,3,5,1]=>2 [3,1,5,1,3]=>3 [3,1,5,3,1]=>3 [3,3,1,1,5]=>2 [3,3,1,5,1]=>2 [3,3,5,1,1]=>2 [3,5,1,1,3]=>3 [3,5,1,3,1]=>3 [3,5,3,1,1]=>2 [5,1,1,3,3]=>4 [5,1,3,1,3]=>3 [5,1,3,3,1]=>3 [5,3,1,1,3]=>3 [5,3,1,3,1]=>3 [5,3,3,1,1]=>2 [1,1,3,4,4]=>2 [1,1,4,3,4]=>3 [1,1,4,4,3]=>2 [1,3,1,4,4]=>2 [1,3,4,1,4]=>2 [1,3,4,4,1]=>1 [1,4,1,3,4]=>3 [1,4,1,4,3]=>2 [1,4,3,1,4]=>2 [1,4,3,4,1]=>1 [1,4,4,1,3]=>2 [1,4,4,3,1]=>2 [3,1,1,4,4]=>3 [3,1,4,1,4]=>3 [3,1,4,4,1]=>2 [3,4,1,1,4]=>3 [3,4,1,4,1]=>2 [3,4,4,1,1]=>2 [4,1,1,3,4]=>4 [4,1,1,4,3]=>3 [4,1,3,1,4]=>3 [4,1,3,4,1]=>2 [4,1,4,1,3]=>3 [4,1,4,3,1]=>3 [4,3,1,1,4]=>3 [4,3,1,4,1]=>2 [4,3,4,1,1]=>2 [4,4,1,1,3]=>3 [4,4,1,3,1]=>3 [4,4,3,1,1]=>2 [1,1,3,4,5]=>1 [1,1,3,5,4]=>2 [1,1,4,3,5]=>2 [1,1,4,5,3]=>2 [1,1,5,3,4]=>3 [1,1,5,4,3]=>2 [1,3,1,4,5]=>1 [1,3,1,5,4]=>2 [1,3,4,1,5]=>1 [1,3,4,5,1]=>1 [1,3,5,1,4]=>2 [1,3,5,4,1]=>1 [1,4,1,3,5]=>2 [1,4,1,5,3]=>2 [1,4,3,1,5]=>1 [1,4,3,5,1]=>1 [1,4,5,1,3]=>2 [1,4,5,3,1]=>2 [1,5,1,3,4]=>3 [1,5,1,4,3]=>2 [1,5,3,1,4]=>2 [1,5,3,4,1]=>1 [1,5,4,1,3]=>2 [1,5,4,3,1]=>2 [3,1,1,4,5]=>2 [3,1,1,5,4]=>3 [3,1,4,1,5]=>2 [3,1,4,5,1]=>2 [3,1,5,1,4]=>3 [3,1,5,4,1]=>2 [3,4,1,1,5]=>2 [3,4,1,5,1]=>2 [3,4,5,1,1]=>2 [3,5,1,1,4]=>3 [3,5,1,4,1]=>2 [3,5,4,1,1]=>2 [4,1,1,3,5]=>3 [4,1,1,5,3]=>3 [4,1,3,1,5]=>2 [4,1,3,5,1]=>2 [4,1,5,1,3]=>3 [4,1,5,3,1]=>3 [4,3,1,1,5]=>2 [4,3,1,5,1]=>2 [4,3,5,1,1]=>2 [4,5,1,1,3]=>3 [4,5,1,3,1]=>3 [4,5,3,1,1]=>2 [5,1,1,3,4]=>4 [5,1,1,4,3]=>3 [5,1,3,1,4]=>3 [5,1,3,4,1]=>2 [5,1,4,1,3]=>3 [5,1,4,3,1]=>3 [5,3,1,1,4]=>3 [5,3,1,4,1]=>2 [5,3,4,1,1]=>2 [5,4,1,1,3]=>3 [5,4,1,3,1]=>3 [5,4,3,1,1]=>2 [1,2,2,2,2]=>3 [2,1,2,2,2]=>4 [2,2,1,2,2]=>3 [2,2,2,1,2]=>3 [2,2,2,2,1]=>3 [1,2,2,2,3]=>3 [1,2,2,3,2]=>3 [1,2,3,2,2]=>2 [1,3,2,2,2]=>3 [2,1,2,2,3]=>4 [2,1,2,3,2]=>4 [2,1,3,2,2]=>3 [2,2,1,2,3]=>3 [2,2,1,3,2]=>3 [2,2,2,1,3]=>3 [2,2,2,3,1]=>3 [2,2,3,1,2]=>2 [2,2,3,2,1]=>2 [2,3,1,2,2]=>3 [2,3,2,1,2]=>3 [2,3,2,2,1]=>3 [3,1,2,2,2]=>4 [3,2,1,2,2]=>3 [3,2,2,1,2]=>3 [3,2,2,2,1]=>3 [1,2,2,2,4]=>3 [1,2,2,4,2]=>2 [1,2,4,2,2]=>2 [1,4,2,2,2]=>3 [2,1,2,2,4]=>4 [2,1,2,4,2]=>3 [2,1,4,2,2]=>3 [2,2,1,2,4]=>3 [2,2,1,4,2]=>2 [2,2,2,1,4]=>3 [2,2,2,4,1]=>2 [2,2,4,1,2]=>2 [2,2,4,2,1]=>2 [2,4,1,2,2]=>3 [2,4,2,1,2]=>3 [2,4,2,2,1]=>3 [4,1,2,2,2]=>4 [4,2,1,2,2]=>3 [4,2,2,1,2]=>3 [4,2,2,2,1]=>3 [1,2,2,2,5]=>2 [1,2,2,5,2]=>2 [1,2,5,2,2]=>2 [1,5,2,2,2]=>3 [2,1,2,2,5]=>3 [2,1,2,5,2]=>3 [2,1,5,2,2]=>3 [2,2,1,2,5]=>2 [2,2,1,5,2]=>2 [2,2,2,1,5]=>2 [2,2,2,5,1]=>2 [2,2,5,1,2]=>2 [2,2,5,2,1]=>2 [2,5,1,2,2]=>3 [2,5,2,1,2]=>3 [2,5,2,2,1]=>3 [5,1,2,2,2]=>4 [5,2,1,2,2]=>3 [5,2,2,1,2]=>3 [5,2,2,2,1]=>3 [1,2,2,3,3]=>3 [1,2,3,2,3]=>2 [1,2,3,3,2]=>2 [1,3,2,2,3]=>3 [1,3,2,3,2]=>3 [1,3,3,2,2]=>2 [2,1,2,3,3]=>4 [2,1,3,2,3]=>3 [2,1,3,3,2]=>3 [2,2,1,3,3]=>3 [2,2,3,1,3]=>2 [2,2,3,3,1]=>2 [2,3,1,2,3]=>3 [2,3,1,3,2]=>3 [2,3,2,1,3]=>3 [2,3,2,3,1]=>3 [2,3,3,1,2]=>2 [2,3,3,2,1]=>2 [3,1,2,2,3]=>4 [3,1,2,3,2]=>4 [3,1,3,2,2]=>3 [3,2,1,2,3]=>3 [3,2,1,3,2]=>3 [3,2,2,1,3]=>3 [3,2,2,3,1]=>3 [3,2,3,1,2]=>2 [3,2,3,2,1]=>2 [3,3,1,2,2]=>3 [3,3,2,1,2]=>3 [3,3,2,2,1]=>3 [1,2,2,3,4]=>3 [1,2,2,4,3]=>2 [1,2,3,2,4]=>2 [1,2,3,4,2]=>1 [1,2,4,2,3]=>2 [1,2,4,3,2]=>2 [1,3,2,2,4]=>3 [1,3,2,4,2]=>2 [1,3,4,2,2]=>2 [1,4,2,2,3]=>3 [1,4,2,3,2]=>3 [1,4,3,2,2]=>2 [2,1,2,3,4]=>4 [2,1,2,4,3]=>3 [2,1,3,2,4]=>3 [2,1,3,4,2]=>2 [2,1,4,2,3]=>3 [2,1,4,3,2]=>3 [2,2,1,3,4]=>3 [2,2,1,4,3]=>2 [2,2,3,1,4]=>2 [2,2,3,4,1]=>1 [2,2,4,1,3]=>2 [2,2,4,3,1]=>2 [2,3,1,2,4]=>3 [2,3,1,4,2]=>2 [2,3,2,1,4]=>3 [2,3,2,4,1]=>2 [2,3,4,1,2]=>2 [2,3,4,2,1]=>2 [2,4,1,2,3]=>3 [2,4,1,3,2]=>3 [2,4,2,1,3]=>3 [2,4,2,3,1]=>3 [2,4,3,1,2]=>2 [2,4,3,2,1]=>2 [3,1,2,2,4]=>4 [3,1,2,4,2]=>3 [3,1,4,2,2]=>3 [3,2,1,2,4]=>3 [3,2,1,4,2]=>2 [3,2,2,1,4]=>3 [3,2,2,4,1]=>2 [3,2,4,1,2]=>2 [3,2,4,2,1]=>2 [3,4,1,2,2]=>3 [3,4,2,1,2]=>3 [3,4,2,2,1]=>3 [4,1,2,2,3]=>4 [4,1,2,3,2]=>4 [4,1,3,2,2]=>3 [4,2,1,2,3]=>3 [4,2,1,3,2]=>3 [4,2,2,1,3]=>3 [4,2,2,3,1]=>3 [4,2,3,1,2]=>2 [4,2,3,2,1]=>2 [4,3,1,2,2]=>3 [4,3,2,1,2]=>3 [4,3,2,2,1]=>3 [1,2,2,3,5]=>2 [1,2,2,5,3]=>2 [1,2,3,2,5]=>1 [1,2,3,5,2]=>1 [1,2,5,2,3]=>2 [1,2,5,3,2]=>2 [1,3,2,2,5]=>2 [1,3,2,5,2]=>2 [1,3,5,2,2]=>2 [1,5,2,2,3]=>3 [1,5,2,3,2]=>3 [1,5,3,2,2]=>2 [2,1,2,3,5]=>3 [2,1,2,5,3]=>3 [2,1,3,2,5]=>2 [2,1,3,5,2]=>2 [2,1,5,2,3]=>3 [2,1,5,3,2]=>3 [2,2,1,3,5]=>2 [2,2,1,5,3]=>2 [2,2,3,1,5]=>1 [2,2,3,5,1]=>1 [2,2,5,1,3]=>2 [2,2,5,3,1]=>2 [2,3,1,2,5]=>2 [2,3,1,5,2]=>2 [2,3,2,1,5]=>2 [2,3,2,5,1]=>2 [2,3,5,1,2]=>2 [2,3,5,2,1]=>2 [2,5,1,2,3]=>3 [2,5,1,3,2]=>3 [2,5,2,1,3]=>3 [2,5,2,3,1]=>3 [2,5,3,1,2]=>2 [2,5,3,2,1]=>2 [3,1,2,2,5]=>3 [3,1,2,5,2]=>3 [3,1,5,2,2]=>3 [3,2,1,2,5]=>2 [3,2,1,5,2]=>2 [3,2,2,1,5]=>2 [3,2,2,5,1]=>2 [3,2,5,1,2]=>2 [3,2,5,2,1]=>2 [3,5,1,2,2]=>3 [3,5,2,1,2]=>3 [3,5,2,2,1]=>3 [5,1,2,2,3]=>4 [5,1,2,3,2]=>4 [5,1,3,2,2]=>3 [5,2,1,2,3]=>3 [5,2,1,3,2]=>3 [5,2,2,1,3]=>3 [5,2,2,3,1]=>3 [5,2,3,1,2]=>2 [5,2,3,2,1]=>2 [5,3,1,2,2]=>3 [5,3,2,1,2]=>3 [5,3,2,2,1]=>3 [1,2,2,4,4]=>2 [1,2,4,2,4]=>2 [1,2,4,4,2]=>1 [1,4,2,2,4]=>3 [1,4,2,4,2]=>2 [1,4,4,2,2]=>2 [2,1,2,4,4]=>3 [2,1,4,2,4]=>3 [2,1,4,4,2]=>2 [2,2,1,4,4]=>2 [2,2,4,1,4]=>2 [2,2,4,4,1]=>1 [2,4,1,2,4]=>3 [2,4,1,4,2]=>2 [2,4,2,1,4]=>3 [2,4,2,4,1]=>2 [2,4,4,1,2]=>2 [2,4,4,2,1]=>2 [4,1,2,2,4]=>4 [4,1,2,4,2]=>3 [4,1,4,2,2]=>3 [4,2,1,2,4]=>3 [4,2,1,4,2]=>2 [4,2,2,1,4]=>3 [4,2,2,4,1]=>2 [4,2,4,1,2]=>2 [4,2,4,2,1]=>2 [4,4,1,2,2]=>3 [4,4,2,1,2]=>3 [4,4,2,2,1]=>3 [1,2,2,4,5]=>1 [1,2,2,5,4]=>2 [1,2,4,2,5]=>1 [1,2,4,5,2]=>1 [1,2,5,2,4]=>2 [1,2,5,4,2]=>1 [1,4,2,2,5]=>2 [1,4,2,5,2]=>2 [1,4,5,2,2]=>2 [1,5,2,2,4]=>3 [1,5,2,4,2]=>2 [1,5,4,2,2]=>2 [2,1,2,4,5]=>2 [2,1,2,5,4]=>3 [2,1,4,2,5]=>2 [2,1,4,5,2]=>2 [2,1,5,2,4]=>3 [2,1,5,4,2]=>2 [2,2,1,4,5]=>1 [2,2,1,5,4]=>2 [2,2,4,1,5]=>1 [2,2,4,5,1]=>1 [2,2,5,1,4]=>2 [2,2,5,4,1]=>1 [2,4,1,2,5]=>2 [2,4,1,5,2]=>2 [2,4,2,1,5]=>2 [2,4,2,5,1]=>2 [2,4,5,1,2]=>2 [2,4,5,2,1]=>2 [2,5,1,2,4]=>3 [2,5,1,4,2]=>2 [2,5,2,1,4]=>3 [2,5,2,4,1]=>2 [2,5,4,1,2]=>2 [2,5,4,2,1]=>2 [4,1,2,2,5]=>3 [4,1,2,5,2]=>3 [4,1,5,2,2]=>3 [4,2,1,2,5]=>2 [4,2,1,5,2]=>2 [4,2,2,1,5]=>2 [4,2,2,5,1]=>2 [4,2,5,1,2]=>2 [4,2,5,2,1]=>2 [4,5,1,2,2]=>3 [4,5,2,1,2]=>3 [4,5,2,2,1]=>3 [5,1,2,2,4]=>4 [5,1,2,4,2]=>3 [5,1,4,2,2]=>3 [5,2,1,2,4]=>3 [5,2,1,4,2]=>2 [5,2,2,1,4]=>3 [5,2,2,4,1]=>2 [5,2,4,1,2]=>2 [5,2,4,2,1]=>2 [5,4,1,2,2]=>3 [5,4,2,1,2]=>3 [5,4,2,2,1]=>3 [1,2,3,3,3]=>2 [1,3,2,3,3]=>3 [1,3,3,2,3]=>2 [1,3,3,3,2]=>2 [2,1,3,3,3]=>3 [2,3,1,3,3]=>3 [2,3,3,1,3]=>2 [2,3,3,3,1]=>2 [3,1,2,3,3]=>4 [3,1,3,2,3]=>3 [3,1,3,3,2]=>3 [3,2,1,3,3]=>3 [3,2,3,1,3]=>2 [3,2,3,3,1]=>2 [3,3,1,2,3]=>3 [3,3,1,3,2]=>3 [3,3,2,1,3]=>3 [3,3,2,3,1]=>3 [3,3,3,1,2]=>2 [3,3,3,2,1]=>2 [1,2,3,3,4]=>2 [1,2,3,4,3]=>1 [1,2,4,3,3]=>2 [1,3,2,3,4]=>3 [1,3,2,4,3]=>2 [1,3,3,2,4]=>2 [1,3,3,4,2]=>1 [1,3,4,2,3]=>2 [1,3,4,3,2]=>2 [1,4,2,3,3]=>3 [1,4,3,2,3]=>2 [1,4,3,3,2]=>2 [2,1,3,3,4]=>3 [2,1,3,4,3]=>2 [2,1,4,3,3]=>3 [2,3,1,3,4]=>3 [2,3,1,4,3]=>2 [2,3,3,1,4]=>2 [2,3,3,4,1]=>1 [2,3,4,1,3]=>2 [2,3,4,3,1]=>2 [2,4,1,3,3]=>3 [2,4,3,1,3]=>2 [2,4,3,3,1]=>2 [3,1,2,3,4]=>4 [3,1,2,4,3]=>3 [3,1,3,2,4]=>3 [3,1,3,4,2]=>2 [3,1,4,2,3]=>3 [3,1,4,3,2]=>3 [3,2,1,3,4]=>3 [3,2,1,4,3]=>2 [3,2,3,1,4]=>2 [3,2,3,4,1]=>1 [3,2,4,1,3]=>2 [3,2,4,3,1]=>2 [3,3,1,2,4]=>3 [3,3,1,4,2]=>2 [3,3,2,1,4]=>3 [3,3,2,4,1]=>2 [3,3,4,1,2]=>2 [3,3,4,2,1]=>2 [3,4,1,2,3]=>3 [3,4,1,3,2]=>3 [3,4,2,1,3]=>3 [3,4,2,3,1]=>3 [3,4,3,1,2]=>2 [3,4,3,2,1]=>2 [4,1,2,3,3]=>4 [4,1,3,2,3]=>3 [4,1,3,3,2]=>3 [4,2,1,3,3]=>3 [4,2,3,1,3]=>2 [4,2,3,3,1]=>2 [4,3,1,2,3]=>3 [4,3,1,3,2]=>3 [4,3,2,1,3]=>3 [4,3,2,3,1]=>3 [4,3,3,1,2]=>2
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Description
The number of preferred parking spots in a parking function less than the index of the car.
Let $(a_1,\dots,a_n)$ be a parking function. Then this statistic returns the number of indices $1\leq i\leq n$ such that $a_i < i$.
Code
def statistic(p):
    return sum(1 for i in range(len(p)) if p[i] < i+1)

Created
Jun 11, 2023 at 16:43 by Martin Rubey
Updated
Jun 11, 2023 at 16:43 by Martin Rubey