edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,1]=>1 [2]=>0 [1,1,1]=>2 [1,2]=>0 [2,1]=>1 [3]=>0 [1,1,1,1]=>3 [1,1,2]=>1 [1,2,1]=>1 [1,3]=>0 [2,1,1]=>2 [2,2]=>1 [3,1]=>1 [4]=>0 [1,1,1,1,1]=>4 [1,1,1,2]=>2 [1,1,2,1]=>2 [1,1,3]=>1 [1,2,1,1]=>2 [1,2,2]=>1 [1,3,1]=>1 [1,4]=>0 [2,1,1,1]=>3 [2,1,2]=>1 [2,2,1]=>2 [2,3]=>0 [3,1,1]=>2 [3,2]=>1 [4,1]=>1 [5]=>0 [1,1,1,1,1,1]=>5 [1,1,1,1,2]=>3 [1,1,1,2,1]=>3 [1,1,1,3]=>2 [1,1,2,1,1]=>3 [1,1,2,2]=>2 [1,1,3,1]=>2 [1,1,4]=>1 [1,2,1,1,1]=>3 [1,2,1,2]=>1 [1,2,2,1]=>2 [1,2,3]=>0 [1,3,1,1]=>2 [1,3,2]=>1 [1,4,1]=>1 [1,5]=>0 [2,1,1,1,1]=>4 [2,1,1,2]=>2 [2,1,2,1]=>2 [2,1,3]=>1 [2,2,1,1]=>3 [2,2,2]=>2 [2,3,1]=>1 [2,4]=>0 [3,1,1,1]=>3 [3,1,2]=>1 [3,2,1]=>2 [3,3]=>1 [4,1,1]=>2 [4,2]=>1 [5,1]=>1 [6]=>0 [1,1,1,1,1,1,1]=>6 [1,1,1,1,1,2]=>4 [1,1,1,1,2,1]=>4 [1,1,1,1,3]=>3 [1,1,1,2,1,1]=>4 [1,1,1,2,2]=>3 [1,1,1,3,1]=>3 [1,1,1,4]=>2 [1,1,2,1,1,1]=>4 [1,1,2,1,2]=>2 [1,1,2,2,1]=>3 [1,1,2,3]=>1 [1,1,3,1,1]=>3 [1,1,3,2]=>2 [1,1,4,1]=>2 [1,1,5]=>1 [1,2,1,1,1,1]=>4 [1,2,1,1,2]=>2 [1,2,1,2,1]=>2 [1,2,1,3]=>1 [1,2,2,1,1]=>3 [1,2,2,2]=>2 [1,2,3,1]=>1 [1,2,4]=>0 [1,3,1,1,1]=>3 [1,3,1,2]=>1 [1,3,2,1]=>2 [1,3,3]=>1 [1,4,1,1]=>2 [1,4,2]=>1 [1,5,1]=>1 [1,6]=>0 [2,1,1,1,1,1]=>5 [2,1,1,1,2]=>3 [2,1,1,2,1]=>3 [2,1,1,3]=>2 [2,1,2,1,1]=>3 [2,1,2,2]=>2 [2,1,3,1]=>2 [2,1,4]=>1 [2,2,1,1,1]=>4 [2,2,1,2]=>2 [2,2,2,1]=>3 [2,2,3]=>1 [2,3,1,1]=>2 [2,3,2]=>1 [2,4,1]=>1 [2,5]=>0 [3,1,1,1,1]=>4 [3,1,1,2]=>2 [3,1,2,1]=>2 [3,1,3]=>1 [3,2,1,1]=>3 [3,2,2]=>2 [3,3,1]=>2 [3,4]=>0 [4,1,1,1]=>3 [4,1,2]=>1 [4,2,1]=>2 [4,3]=>1 [5,1,1]=>2 [5,2]=>1 [6,1]=>1 [7]=>0 [1,1,1,1,1,1,1,1]=>7 [1,1,1,1,1,1,2]=>5 [1,1,1,1,1,2,1]=>5 [1,1,1,1,1,3]=>4 [1,1,1,1,2,1,1]=>5 [1,1,1,1,2,2]=>4 [1,1,1,1,3,1]=>4 [1,1,1,1,4]=>3 [1,1,1,2,1,1,1]=>5 [1,1,1,2,1,2]=>3 [1,1,1,2,2,1]=>4 [1,1,1,2,3]=>2 [1,1,1,3,1,1]=>4 [1,1,1,3,2]=>3 [1,1,1,4,1]=>3 [1,1,1,5]=>2 [1,1,2,1,1,1,1]=>5 [1,1,2,1,1,2]=>3 [1,1,2,1,2,1]=>3 [1,1,2,1,3]=>2 [1,1,2,2,1,1]=>4 [1,1,2,2,2]=>3 [1,1,2,3,1]=>2 [1,1,2,4]=>1 [1,1,3,1,1,1]=>4 [1,1,3,1,2]=>2 [1,1,3,2,1]=>3 [1,1,3,3]=>2 [1,1,4,1,1]=>3 [1,1,4,2]=>2 [1,1,5,1]=>2 [1,1,6]=>1 [1,2,1,1,1,1,1]=>5 [1,2,1,1,1,2]=>3 [1,2,1,1,2,1]=>3 [1,2,1,1,3]=>2 [1,2,1,2,1,1]=>3 [1,2,1,2,2]=>2 [1,2,1,3,1]=>2 [1,2,1,4]=>1 [1,2,2,1,1,1]=>4 [1,2,2,1,2]=>2 [1,2,2,2,1]=>3 [1,2,2,3]=>1 [1,2,3,1,1]=>2 [1,2,3,2]=>1 [1,2,4,1]=>1 [1,2,5]=>0 [1,3,1,1,1,1]=>4 [1,3,1,1,2]=>2 [1,3,1,2,1]=>2 [1,3,1,3]=>1 [1,3,2,1,1]=>3 [1,3,2,2]=>2 [1,3,3,1]=>2 [1,3,4]=>0 [1,4,1,1,1]=>3 [1,4,1,2]=>1 [1,4,2,1]=>2 [1,4,3]=>1 [1,5,1,1]=>2 [1,5,2]=>1 [1,6,1]=>1 [1,7]=>0 [2,1,1,1,1,1,1]=>6 [2,1,1,1,1,2]=>4 [2,1,1,1,2,1]=>4 [2,1,1,1,3]=>3 [2,1,1,2,1,1]=>4 [2,1,1,2,2]=>3 [2,1,1,3,1]=>3 [2,1,1,4]=>2 [2,1,2,1,1,1]=>4 [2,1,2,1,2]=>2 [2,1,2,2,1]=>3 [2,1,2,3]=>1 [2,1,3,1,1]=>3 [2,1,3,2]=>2 [2,1,4,1]=>2 [2,1,5]=>1 [2,2,1,1,1,1]=>5 [2,2,1,1,2]=>3 [2,2,1,2,1]=>3 [2,2,1,3]=>2 [2,2,2,1,1]=>4 [2,2,2,2]=>3 [2,2,3,1]=>2 [2,2,4]=>1 [2,3,1,1,1]=>3 [2,3,1,2]=>1 [2,3,2,1]=>2 [2,3,3]=>1 [2,4,1,1]=>2 [2,4,2]=>1 [2,5,1]=>1 [2,6]=>0 [3,1,1,1,1,1]=>5 [3,1,1,1,2]=>3 [3,1,1,2,1]=>3 [3,1,1,3]=>2 [3,1,2,1,1]=>3 [3,1,2,2]=>2 [3,1,3,1]=>2 [3,1,4]=>1 [3,2,1,1,1]=>4 [3,2,1,2]=>2 [3,2,2,1]=>3 [3,2,3]=>1 [3,3,1,1]=>3 [3,3,2]=>2 [3,4,1]=>1 [3,5]=>0 [4,1,1,1,1]=>4 [4,1,1,2]=>2 [4,1,2,1]=>2 [4,1,3]=>1 [4,2,1,1]=>3 [4,2,2]=>2 [4,3,1]=>2 [4,4]=>1 [5,1,1,1]=>3 [5,1,2]=>1 [5,2,1]=>2 [5,3]=>1 [6,1,1]=>2 [6,2]=>1 [7,1]=>1 [8]=>0 [1,1,1,1,1,1,1,1,1]=>8 [1,1,1,1,1,1,1,2]=>6 [1,1,1,1,1,1,2,1]=>6 [1,1,1,1,1,1,3]=>5 [1,1,1,1,1,2,1,1]=>6 [1,1,1,1,1,2,2]=>5 [1,1,1,1,1,3,1]=>5 [1,1,1,1,1,4]=>4 [1,1,1,1,2,1,1,1]=>6 [1,1,1,1,2,1,2]=>4 [1,1,1,1,2,2,1]=>5 [1,1,1,1,2,3]=>3 [1,1,1,1,3,1,1]=>5 [1,1,1,1,3,2]=>4 [1,1,1,1,4,1]=>4 [1,1,1,1,5]=>3 [1,1,1,2,1,1,1,1]=>6 [1,1,1,2,1,1,2]=>4 [1,1,1,2,1,2,1]=>4 [1,1,1,2,1,3]=>3 [1,1,1,2,2,1,1]=>5 [1,1,1,2,2,2]=>4 [1,1,1,2,3,1]=>3 [1,1,1,2,4]=>2 [1,1,1,3,1,1,1]=>5 [1,1,1,3,1,2]=>3 [1,1,1,3,2,1]=>4 [1,1,1,3,3]=>3 [1,1,1,4,1,1]=>4 [1,1,1,4,2]=>3 [1,1,1,5,1]=>3 [1,1,1,6]=>2 [1,1,2,1,1,1,1,1]=>6 [1,1,2,1,1,1,2]=>4 [1,1,2,1,1,2,1]=>4 [1,1,2,1,1,3]=>3 [1,1,2,1,2,1,1]=>4 [1,1,2,1,2,2]=>3 [1,1,2,1,3,1]=>3 [1,1,2,1,4]=>2 [1,1,2,2,1,1,1]=>5 [1,1,2,2,1,2]=>3 [1,1,2,2,2,1]=>4 [1,1,2,2,3]=>2 [1,1,2,3,1,1]=>3 [1,1,2,3,2]=>2 [1,1,2,4,1]=>2 [1,1,2,5]=>1 [1,1,3,1,1,1,1]=>5 [1,1,3,1,1,2]=>3 [1,1,3,1,2,1]=>3 [1,1,3,1,3]=>2 [1,1,3,2,1,1]=>4 [1,1,3,2,2]=>3 [1,1,3,3,1]=>3 [1,1,3,4]=>1 [1,1,4,1,1,1]=>4 [1,1,4,1,2]=>2 [1,1,4,2,1]=>3 [1,1,4,3]=>2 [1,1,5,1,1]=>3 [1,1,5,2]=>2 [1,1,6,1]=>2 [1,1,7]=>1 [1,2,1,1,1,1,1,1]=>6 [1,2,1,1,1,1,2]=>4 [1,2,1,1,1,2,1]=>4 [1,2,1,1,1,3]=>3 [1,2,1,1,2,1,1]=>4 [1,2,1,1,2,2]=>3 [1,2,1,1,3,1]=>3 [1,2,1,1,4]=>2 [1,2,1,2,1,1,1]=>4 [1,2,1,2,1,2]=>2 [1,2,1,2,2,1]=>3 [1,2,1,2,3]=>1 [1,2,1,3,1,1]=>3 [1,2,1,3,2]=>2 [1,2,1,4,1]=>2 [1,2,1,5]=>1 [1,2,2,1,1,1,1]=>5 [1,2,2,1,1,2]=>3 [1,2,2,1,2,1]=>3 [1,2,2,1,3]=>2 [1,2,2,2,1,1]=>4 [1,2,2,2,2]=>3 [1,2,2,3,1]=>2 [1,2,2,4]=>1 [1,2,3,1,1,1]=>3 [1,2,3,1,2]=>1 [1,2,3,2,1]=>2 [1,2,3,3]=>1 [1,2,4,1,1]=>2 [1,2,4,2]=>1 [1,2,5,1]=>1 [1,2,6]=>0 [1,3,1,1,1,1,1]=>5 [1,3,1,1,1,2]=>3 [1,3,1,1,2,1]=>3 [1,3,1,1,3]=>2 [1,3,1,2,1,1]=>3 [1,3,1,2,2]=>2 [1,3,1,3,1]=>2 [1,3,1,4]=>1 [1,3,2,1,1,1]=>4 [1,3,2,1,2]=>2 [1,3,2,2,1]=>3 [1,3,2,3]=>1 [1,3,3,1,1]=>3 [1,3,3,2]=>2 [1,3,4,1]=>1 [1,3,5]=>0 [1,4,1,1,1,1]=>4 [1,4,1,1,2]=>2 [1,4,1,2,1]=>2 [1,4,1,3]=>1 [1,4,2,1,1]=>3 [1,4,2,2]=>2 [1,4,3,1]=>2 [1,4,4]=>1 [1,5,1,1,1]=>3 [1,5,1,2]=>1 [1,5,2,1]=>2 [1,5,3]=>1 [1,6,1,1]=>2 [1,6,2]=>1 [1,7,1]=>1 [1,8]=>0 [2,1,1,1,1,1,1,1]=>7 [2,1,1,1,1,1,2]=>5 [2,1,1,1,1,2,1]=>5 [2,1,1,1,1,3]=>4 [2,1,1,1,2,1,1]=>5 [2,1,1,1,2,2]=>4 [2,1,1,1,3,1]=>4 [2,1,1,1,4]=>3 [2,1,1,2,1,1,1]=>5 [2,1,1,2,1,2]=>3 [2,1,1,2,2,1]=>4 [2,1,1,2,3]=>2 [2,1,1,3,1,1]=>4 [2,1,1,3,2]=>3 [2,1,1,4,1]=>3 [2,1,1,5]=>2 [2,1,2,1,1,1,1]=>5 [2,1,2,1,1,2]=>3 [2,1,2,1,2,1]=>3 [2,1,2,1,3]=>2 [2,1,2,2,1,1]=>4 [2,1,2,2,2]=>3 [2,1,2,3,1]=>2 [2,1,2,4]=>1 [2,1,3,1,1,1]=>4 [2,1,3,1,2]=>2 [2,1,3,2,1]=>3 [2,1,3,3]=>2 [2,1,4,1,1]=>3 [2,1,4,2]=>2 [2,1,5,1]=>2 [2,1,6]=>1 [2,2,1,1,1,1,1]=>6 [2,2,1,1,1,2]=>4 [2,2,1,1,2,1]=>4 [2,2,1,1,3]=>3 [2,2,1,2,1,1]=>4 [2,2,1,2,2]=>3 [2,2,1,3,1]=>3 [2,2,1,4]=>2 [2,2,2,1,1,1]=>5 [2,2,2,1,2]=>3 [2,2,2,2,1]=>4 [2,2,2,3]=>2 [2,2,3,1,1]=>3 [2,2,3,2]=>2 [2,2,4,1]=>2 [2,2,5]=>1 [2,3,1,1,1,1]=>4 [2,3,1,1,2]=>2 [2,3,1,2,1]=>2 [2,3,1,3]=>1 [2,3,2,1,1]=>3 [2,3,2,2]=>2 [2,3,3,1]=>2 [2,3,4]=>0 [2,4,1,1,1]=>3 [2,4,1,2]=>1 [2,4,2,1]=>2 [2,4,3]=>1 [2,5,1,1]=>2 [2,5,2]=>1 [2,6,1]=>1 [2,7]=>0 [3,1,1,1,1,1,1]=>6 [3,1,1,1,1,2]=>4 [3,1,1,1,2,1]=>4 [3,1,1,1,3]=>3 [3,1,1,2,1,1]=>4 [3,1,1,2,2]=>3 [3,1,1,3,1]=>3 [3,1,1,4]=>2 [3,1,2,1,1,1]=>4 [3,1,2,1,2]=>2 [3,1,2,2,1]=>3 [3,1,2,3]=>1 [3,1,3,1,1]=>3 [3,1,3,2]=>2 [3,1,4,1]=>2 [3,1,5]=>1 [3,2,1,1,1,1]=>5 [3,2,1,1,2]=>3 [3,2,1,2,1]=>3 [3,2,1,3]=>2 [3,2,2,1,1]=>4 [3,2,2,2]=>3 [3,2,3,1]=>2 [3,2,4]=>1 [3,3,1,1,1]=>4 [3,3,1,2]=>2 [3,3,2,1]=>3 [3,3,3]=>2 [3,4,1,1]=>2 [3,4,2]=>1 [3,5,1]=>1 [3,6]=>0 [4,1,1,1,1,1]=>5 [4,1,1,1,2]=>3 [4,1,1,2,1]=>3 [4,1,1,3]=>2 [4,1,2,1,1]=>3 [4,1,2,2]=>2 [4,1,3,1]=>2 [4,1,4]=>1 [4,2,1,1,1]=>4 [4,2,1,2]=>2 [4,2,2,1]=>3 [4,2,3]=>1 [4,3,1,1]=>3 [4,3,2]=>2 [4,4,1]=>2 [4,5]=>0 [5,1,1,1,1]=>4 [5,1,1,2]=>2 [5,1,2,1]=>2 [5,1,3]=>1 [5,2,1,1]=>3 [5,2,2]=>2 [5,3,1]=>2 [5,4]=>1 [6,1,1,1]=>3 [6,1,2]=>1 [6,2,1]=>2 [6,3]=>1 [7,1,1]=>2 [7,2]=>1 [8,1]=>1 [9]=>0 [1,1,1,1,1,1,1,1,1,1]=>9 [1,1,1,1,1,1,1,1,2]=>7 [1,1,1,1,1,1,1,2,1]=>7 [1,1,1,1,1,1,1,3]=>6 [1,1,1,1,1,1,2,1,1]=>7 [1,1,1,1,1,1,2,2]=>6 [1,1,1,1,1,1,3,1]=>6 [1,1,1,1,1,1,4]=>5 [1,1,1,1,1,2,1,1,1]=>7 [1,1,1,1,1,2,1,2]=>5 [1,1,1,1,1,2,2,1]=>6 [1,1,1,1,1,2,3]=>4 [1,1,1,1,1,3,1,1]=>6 [1,1,1,1,1,3,2]=>5 [1,1,1,1,1,4,1]=>5 [1,1,1,1,1,5]=>4 [1,1,1,1,2,1,1,1,1]=>7 [1,1,1,1,2,1,1,2]=>5 [1,1,1,1,2,1,2,1]=>5 [1,1,1,1,2,1,3]=>4 [1,1,1,1,2,2,1,1]=>6 [1,1,1,1,2,2,2]=>5 [1,1,1,1,2,3,1]=>4 [1,1,1,1,2,4]=>3 [1,1,1,1,3,1,1,1]=>6 [1,1,1,1,3,1,2]=>4 [1,1,1,1,3,2,1]=>5 [1,1,1,1,3,3]=>4 [1,1,1,1,4,1,1]=>5 [1,1,1,1,4,2]=>4 [1,1,1,1,5,1]=>4 [1,1,1,1,6]=>3 [1,1,1,2,1,1,1,1,1]=>7 [1,1,1,2,1,1,1,2]=>5 [1,1,1,2,1,1,2,1]=>5 [1,1,1,2,1,1,3]=>4 [1,1,1,2,1,2,1,1]=>5 [1,1,1,2,1,2,2]=>4 [1,1,1,2,1,3,1]=>4 [1,1,1,2,1,4]=>3 [1,1,1,2,2,1,1,1]=>6 [1,1,1,2,2,1,2]=>4 [1,1,1,2,2,2,1]=>5 [1,1,1,2,2,3]=>3 [1,1,1,2,3,1,1]=>4 [1,1,1,2,3,2]=>3 [1,1,1,2,4,1]=>3 [1,1,1,2,5]=>2 [1,1,1,3,1,1,1,1]=>6 [1,1,1,3,1,1,2]=>4 [1,1,1,3,1,2,1]=>4 [1,1,1,3,1,3]=>3 [1,1,1,3,2,1,1]=>5 [1,1,1,3,2,2]=>4 [1,1,1,3,3,1]=>4 [1,1,1,3,4]=>2 [1,1,1,4,1,1,1]=>5 [1,1,1,4,1,2]=>3 [1,1,1,4,2,1]=>4 [1,1,1,4,3]=>3 [1,1,1,5,1,1]=>4 [1,1,1,5,2]=>3 [1,1,1,6,1]=>3 [1,1,1,7]=>2 [1,1,2,1,1,1,1,1,1]=>7 [1,1,2,1,1,1,1,2]=>5 [1,1,2,1,1,1,2,1]=>5 [1,1,2,1,1,1,3]=>4 [1,1,2,1,1,2,1,1]=>5 [1,1,2,1,1,2,2]=>4 [1,1,2,1,1,3,1]=>4 [1,1,2,1,1,4]=>3 [1,1,2,1,2,1,1,1]=>5 [1,1,2,1,2,1,2]=>3 [1,1,2,1,2,2,1]=>4 [1,1,2,1,2,3]=>2 [1,1,2,1,3,1,1]=>4 [1,1,2,1,3,2]=>3 [1,1,2,1,4,1]=>3 [1,1,2,1,5]=>2 [1,1,2,2,1,1,1,1]=>6 [1,1,2,2,1,1,2]=>4 [1,1,2,2,1,2,1]=>4 [1,1,2,2,1,3]=>3 [1,1,2,2,2,1,1]=>5 [1,1,2,2,2,2]=>4 [1,1,2,2,3,1]=>3 [1,1,2,2,4]=>2 [1,1,2,3,1,1,1]=>4 [1,1,2,3,1,2]=>2 [1,1,2,3,2,1]=>3 [1,1,2,3,3]=>2 [1,1,2,4,1,1]=>3 [1,1,2,4,2]=>2 [1,1,2,5,1]=>2 [1,1,2,6]=>1 [1,1,3,1,1,1,1,1]=>6 [1,1,3,1,1,1,2]=>4 [1,1,3,1,1,2,1]=>4 [1,1,3,1,1,3]=>3 [1,1,3,1,2,1,1]=>4 [1,1,3,1,2,2]=>3 [1,1,3,1,3,1]=>3 [1,1,3,1,4]=>2 [1,1,3,2,1,1,1]=>5 [1,1,3,2,1,2]=>3 [1,1,3,2,2,1]=>4 [1,1,3,2,3]=>2 [1,1,3,3,1,1]=>4 [1,1,3,3,2]=>3 [1,1,3,4,1]=>2 [1,1,3,5]=>1 [1,1,4,1,1,1,1]=>5 [1,1,4,1,1,2]=>3 [1,1,4,1,2,1]=>3 [1,1,4,1,3]=>2 [1,1,4,2,1,1]=>4 [1,1,4,2,2]=>3 [1,1,4,3,1]=>3 [1,1,4,4]=>2 [1,1,5,1,1,1]=>4 [1,1,5,1,2]=>2 [1,1,5,2,1]=>3 [1,1,5,3]=>2 [1,1,6,1,1]=>3 [1,1,6,2]=>2 [1,1,7,1]=>2 [1,1,8]=>1 [1,2,1,1,1,1,1,1,1]=>7 [1,2,1,1,1,1,1,2]=>5 [1,2,1,1,1,1,2,1]=>5 [1,2,1,1,1,1,3]=>4 [1,2,1,1,1,2,1,1]=>5 [1,2,1,1,1,2,2]=>4 [1,2,1,1,1,3,1]=>4 [1,2,1,1,1,4]=>3 [1,2,1,1,2,1,1,1]=>5 [1,2,1,1,2,1,2]=>3 [1,2,1,1,2,2,1]=>4 [1,2,1,1,2,3]=>2 [1,2,1,1,3,1,1]=>4 [1,2,1,1,3,2]=>3 [1,2,1,1,4,1]=>3 [1,2,1,1,5]=>2 [1,2,1,2,1,1,1,1]=>5 [1,2,1,2,1,1,2]=>3 [1,2,1,2,1,2,1]=>3 [1,2,1,2,1,3]=>2 [1,2,1,2,2,1,1]=>4 [1,2,1,2,2,2]=>3 [1,2,1,2,3,1]=>2 [1,2,1,2,4]=>1 [1,2,1,3,1,1,1]=>4 [1,2,1,3,1,2]=>2 [1,2,1,3,2,1]=>3 [1,2,1,3,3]=>2 [1,2,1,4,1,1]=>3 [1,2,1,4,2]=>2 [1,2,1,5,1]=>2 [1,2,1,6]=>1 [1,2,2,1,1,1,1,1]=>6 [1,2,2,1,1,1,2]=>4 [1,2,2,1,1,2,1]=>4 [1,2,2,1,1,3]=>3 [1,2,2,1,2,1,1]=>4 [1,2,2,1,2,2]=>3 [1,2,2,1,3,1]=>3 [1,2,2,1,4]=>2 [1,2,2,2,1,1,1]=>5 [1,2,2,2,1,2]=>3 [1,2,2,2,2,1]=>4 [1,2,2,2,3]=>2 [1,2,2,3,1,1]=>3 [1,2,2,3,2]=>2 [1,2,2,4,1]=>2 [1,2,2,5]=>1 [1,2,3,1,1,1,1]=>4 [1,2,3,1,1,2]=>2 [1,2,3,1,2,1]=>2 [1,2,3,1,3]=>1 [1,2,3,2,1,1]=>3 [1,2,3,2,2]=>2 [1,2,3,3,1]=>2 [1,2,3,4]=>0 [1,2,4,1,1,1]=>3 [1,2,4,1,2]=>1 [1,2,4,2,1]=>2 [1,2,4,3]=>1 [1,2,5,1,1]=>2 [1,2,5,2]=>1 [1,2,6,1]=>1 [1,2,7]=>0 [1,3,1,1,1,1,1,1]=>6 [1,3,1,1,1,1,2]=>4 [1,3,1,1,1,2,1]=>4 [1,3,1,1,1,3]=>3 [1,3,1,1,2,1,1]=>4 [1,3,1,1,2,2]=>3 [1,3,1,1,3,1]=>3 [1,3,1,1,4]=>2 [1,3,1,2,1,1,1]=>4 [1,3,1,2,1,2]=>2 [1,3,1,2,2,1]=>3 [1,3,1,2,3]=>1 [1,3,1,3,1,1]=>3 [1,3,1,3,2]=>2 [1,3,1,4,1]=>2 [1,3,1,5]=>1 [1,3,2,1,1,1,1]=>5 [1,3,2,1,1,2]=>3 [1,3,2,1,2,1]=>3 [1,3,2,1,3]=>2 [1,3,2,2,1,1]=>4 [1,3,2,2,2]=>3 [1,3,2,3,1]=>2 [1,3,2,4]=>1 [1,3,3,1,1,1]=>4 [1,3,3,1,2]=>2 [1,3,3,2,1]=>3 [1,3,3,3]=>2 [1,3,4,1,1]=>2 [1,3,4,2]=>1 [1,3,5,1]=>1 [1,3,6]=>0 [1,4,1,1,1,1,1]=>5 [1,4,1,1,1,2]=>3 [1,4,1,1,2,1]=>3 [1,4,1,1,3]=>2 [1,4,1,2,1,1]=>3 [1,4,1,2,2]=>2 [1,4,1,3,1]=>2 [1,4,1,4]=>1 [1,4,2,1,1,1]=>4 [1,4,2,1,2]=>2 [1,4,2,2,1]=>3 [1,4,2,3]=>1 [1,4,3,1,1]=>3 [1,4,3,2]=>2 [1,4,4,1]=>2 [1,4,5]=>0 [1,5,1,1,1,1]=>4 [1,5,1,1,2]=>2 [1,5,1,2,1]=>2 [1,5,1,3]=>1 [1,5,2,1,1]=>3 [1,5,2,2]=>2 [1,5,3,1]=>2 [1,5,4]=>1 [1,6,1,1,1]=>3 [1,6,1,2]=>1 [1,6,2,1]=>2 [1,6,3]=>1 [1,7,1,1]=>2 [1,7,2]=>1 [1,8,1]=>1 [1,9]=>0 [2,1,1,1,1,1,1,1,1]=>8 [2,1,1,1,1,1,1,2]=>6 [2,1,1,1,1,1,2,1]=>6 [2,1,1,1,1,1,3]=>5 [2,1,1,1,1,2,1,1]=>6 [2,1,1,1,1,2,2]=>5 [2,1,1,1,1,3,1]=>5 [2,1,1,1,1,4]=>4 [2,1,1,1,2,1,1,1]=>6 [2,1,1,1,2,1,2]=>4 [2,1,1,1,2,2,1]=>5 [2,1,1,1,2,3]=>3 [2,1,1,1,3,1,1]=>5 [2,1,1,1,3,2]=>4 [2,1,1,1,4,1]=>4 [2,1,1,1,5]=>3 [2,1,1,2,1,1,1,1]=>6 [2,1,1,2,1,1,2]=>4 [2,1,1,2,1,2,1]=>4 [2,1,1,2,1,3]=>3 [2,1,1,2,2,1,1]=>5 [2,1,1,2,2,2]=>4 [2,1,1,2,3,1]=>3 [2,1,1,2,4]=>2 [2,1,1,3,1,1,1]=>5 [2,1,1,3,1,2]=>3 [2,1,1,3,2,1]=>4 [2,1,1,3,3]=>3 [2,1,1,4,1,1]=>4 [2,1,1,4,2]=>3 [2,1,1,5,1]=>3 [2,1,1,6]=>2 [2,1,2,1,1,1,1,1]=>6 [2,1,2,1,1,1,2]=>4 [2,1,2,1,1,2,1]=>4 [2,1,2,1,1,3]=>3 [2,1,2,1,2,1,1]=>4 [2,1,2,1,2,2]=>3 [2,1,2,1,3,1]=>3 [2,1,2,1,4]=>2 [2,1,2,2,1,1,1]=>5 [2,1,2,2,1,2]=>3 [2,1,2,2,2,1]=>4 [2,1,2,2,3]=>2 [2,1,2,3,1,1]=>3 [2,1,2,3,2]=>2 [2,1,2,4,1]=>2 [2,1,2,5]=>1 [2,1,3,1,1,1,1]=>5 [2,1,3,1,1,2]=>3 [2,1,3,1,2,1]=>3 [2,1,3,1,3]=>2 [2,1,3,2,1,1]=>4 [2,1,3,2,2]=>3 [2,1,3,3,1]=>3 [2,1,3,4]=>1 [2,1,4,1,1,1]=>4 [2,1,4,1,2]=>2 [2,1,4,2,1]=>3 [2,1,4,3]=>2 [2,1,5,1,1]=>3 [2,1,5,2]=>2 [2,1,6,1]=>2 [2,1,7]=>1 [2,2,1,1,1,1,1,1]=>7 [2,2,1,1,1,1,2]=>5 [2,2,1,1,1,2,1]=>5 [2,2,1,1,1,3]=>4 [2,2,1,1,2,1,1]=>5 [2,2,1,1,2,2]=>4 [2,2,1,1,3,1]=>4 [2,2,1,1,4]=>3 [2,2,1,2,1,1,1]=>5 [2,2,1,2,1,2]=>3 [2,2,1,2,2,1]=>4 [2,2,1,2,3]=>2 [2,2,1,3,1,1]=>4 [2,2,1,3,2]=>3 [2,2,1,4,1]=>3 [2,2,1,5]=>2 [2,2,2,1,1,1,1]=>6 [2,2,2,1,1,2]=>4 [2,2,2,1,2,1]=>4 [2,2,2,1,3]=>3 [2,2,2,2,1,1]=>5 [2,2,2,2,2]=>4 [2,2,2,3,1]=>3 [2,2,2,4]=>2 [2,2,3,1,1,1]=>4 [2,2,3,1,2]=>2 [2,2,3,2,1]=>3 [2,2,3,3]=>2 [2,2,4,1,1]=>3 [2,2,4,2]=>2 [2,2,5,1]=>2 [2,2,6]=>1 [2,3,1,1,1,1,1]=>5 [2,3,1,1,1,2]=>3 [2,3,1,1,2,1]=>3 [2,3,1,1,3]=>2 [2,3,1,2,1,1]=>3 [2,3,1,2,2]=>2 [2,3,1,3,1]=>2 [2,3,1,4]=>1 [2,3,2,1,1,1]=>4 [2,3,2,1,2]=>2 [2,3,2,2,1]=>3 [2,3,2,3]=>1 [2,3,3,1,1]=>3 [2,3,3,2]=>2 [2,3,4,1]=>1 [2,3,5]=>0 [2,4,1,1,1,1]=>4 [2,4,1,1,2]=>2 [2,4,1,2,1]=>2 [2,4,1,3]=>1 [2,4,2,1,1]=>3 [2,4,2,2]=>2 [2,4,3,1]=>2 [2,4,4]=>1 [2,5,1,1,1]=>3 [2,5,1,2]=>1 [2,5,2,1]=>2 [2,5,3]=>1 [2,6,1,1]=>2 [2,6,2]=>1 [2,7,1]=>1 [2,8]=>0 [3,1,1,1,1,1,1,1]=>7 [3,1,1,1,1,1,2]=>5 [3,1,1,1,1,2,1]=>5 [3,1,1,1,1,3]=>4 [3,1,1,1,2,1,1]=>5 [3,1,1,1,2,2]=>4 [3,1,1,1,3,1]=>4 [3,1,1,1,4]=>3 [3,1,1,2,1,1,1]=>5 [3,1,1,2,1,2]=>3 [3,1,1,2,2,1]=>4 [3,1,1,2,3]=>2 [3,1,1,3,1,1]=>4 [3,1,1,3,2]=>3 [3,1,1,4,1]=>3 [3,1,1,5]=>2 [3,1,2,1,1,1,1]=>5 [3,1,2,1,1,2]=>3 [3,1,2,1,2,1]=>3 [3,1,2,1,3]=>2 [3,1,2,2,1,1]=>4 [3,1,2,2,2]=>3 [3,1,2,3,1]=>2 [3,1,2,4]=>1 [3,1,3,1,1,1]=>4 [3,1,3,1,2]=>2 [3,1,3,2,1]=>3 [3,1,3,3]=>2 [3,1,4,1,1]=>3 [3,1,4,2]=>2 [3,1,5,1]=>2 [3,1,6]=>1 [3,2,1,1,1,1,1]=>6 [3,2,1,1,1,2]=>4 [3,2,1,1,2,1]=>4 [3,2,1,1,3]=>3 [3,2,1,2,1,1]=>4 [3,2,1,2,2]=>3 [3,2,1,3,1]=>3 [3,2,1,4]=>2 [3,2,2,1,1,1]=>5 [3,2,2,1,2]=>3 [3,2,2,2,1]=>4 [3,2,2,3]=>2 [3,2,3,1,1]=>3 [3,2,3,2]=>2 [3,2,4,1]=>2 [3,2,5]=>1 [3,3,1,1,1,1]=>5 [3,3,1,1,2]=>3 [3,3,1,2,1]=>3 [3,3,1,3]=>2 [3,3,2,1,1]=>4 [3,3,2,2]=>3 [3,3,3,1]=>3 [3,3,4]=>1 [3,4,1,1,1]=>3 [3,4,1,2]=>1 [3,4,2,1]=>2 [3,4,3]=>1 [3,5,1,1]=>2 [3,5,2]=>1 [3,6,1]=>1 [3,7]=>0 [4,1,1,1,1,1,1]=>6 [4,1,1,1,1,2]=>4 [4,1,1,1,2,1]=>4 [4,1,1,1,3]=>3 [4,1,1,2,1,1]=>4 [4,1,1,2,2]=>3 [4,1,1,3,1]=>3 [4,1,1,4]=>2 [4,1,2,1,1,1]=>4 [4,1,2,1,2]=>2 [4,1,2,2,1]=>3 [4,1,2,3]=>1 [4,1,3,1,1]=>3 [4,1,3,2]=>2 [4,1,4,1]=>2 [4,1,5]=>1 [4,2,1,1,1,1]=>5 [4,2,1,1,2]=>3 [4,2,1,2,1]=>3 [4,2,1,3]=>2 [4,2,2,1,1]=>4 [4,2,2,2]=>3 [4,2,3,1]=>2 [4,2,4]=>1 [4,3,1,1,1]=>4 [4,3,1,2]=>2 [4,3,2,1]=>3 [4,3,3]=>2 [4,4,1,1]=>3 [4,4,2]=>2 [4,5,1]=>1 [4,6]=>0 [5,1,1,1,1,1]=>5 [5,1,1,1,2]=>3 [5,1,1,2,1]=>3 [5,1,1,3]=>2 [5,1,2,1,1]=>3 [5,1,2,2]=>2 [5,1,3,1]=>2 [5,1,4]=>1 [5,2,1,1,1]=>4 [5,2,1,2]=>2 [5,2,2,1]=>3 [5,2,3]=>1 [5,3,1,1]=>3 [5,3,2]=>2 [5,4,1]=>2 [5,5]=>1 [6,1,1,1,1]=>4 [6,1,1,2]=>2 [6,1,2,1]=>2 [6,1,3]=>1 [6,2,1,1]=>3 [6,2,2]=>2 [6,3,1]=>2 [6,4]=>1 [7,1,1,1]=>3 [7,1,2]=>1 [7,2,1]=>2 [7,3]=>1 [8,1,1]=>2 [8,2]=>1 [9,1]=>1 [10]=>0
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Description
The number of weak descents in an integer composition.
A weak descent of an integer composition $\alpha=(a_1, \dots, a_n)$ is an index $1\leq i < n$ such that $a_i \geq a_{i+1}$.
Code
def statistic(a):
    return sum(1 for i in range(1, len(a)) if a[i-1] >= a[i])
Created
Mar 16, 2022 at 12:16 by Martin Rubey
Updated
Mar 16, 2022 at 12:16 by Martin Rubey