edit this statistic or download as text // json
Identifier
Values
=>
[1]=>1 [1,1]=>1 [2]=>1 [1,1,1]=>1 [1,2]=>2 [2,1]=>1 [3]=>1 [1,1,1,1]=>1 [1,1,2]=>2 [1,2,1]=>2 [1,3]=>2 [2,1,1]=>1 [2,2]=>1 [3,1]=>1 [4]=>1 [1,1,1,1,1]=>1 [1,1,1,2]=>2 [1,1,2,1]=>2 [1,1,3]=>2 [1,2,1,1]=>2 [1,2,2]=>2 [1,3,1]=>2 [1,4]=>2 [2,1,1,1]=>1 [2,1,2]=>1 [2,2,1]=>1 [2,3]=>2 [3,1,1]=>1 [3,2]=>1 [4,1]=>1 [5]=>1 [1,1,1,1,1,1]=>1 [1,1,1,1,2]=>2 [1,1,1,2,1]=>2 [1,1,1,3]=>2 [1,1,2,1,1]=>2 [1,1,2,2]=>2 [1,1,3,1]=>2 [1,1,4]=>2 [1,2,1,1,1]=>2 [1,2,1,2]=>2 [1,2,2,1]=>2 [1,2,3]=>3 [1,3,1,1]=>2 [1,3,2]=>2 [1,4,1]=>2 [1,5]=>2 [2,1,1,1,1]=>1 [2,1,1,2]=>1 [2,1,2,1]=>1 [2,1,3]=>2 [2,2,1,1]=>1 [2,2,2]=>1 [2,3,1]=>2 [2,4]=>2 [3,1,1,1]=>1 [3,1,2]=>1 [3,2,1]=>1 [3,3]=>1 [4,1,1]=>1 [4,2]=>1 [5,1]=>1 [6]=>1 [1,1,1,1,1,1,1]=>1 [1,1,1,1,1,2]=>2 [1,1,1,1,2,1]=>2 [1,1,1,1,3]=>2 [1,1,1,2,1,1]=>2 [1,1,1,2,2]=>2 [1,1,1,3,1]=>2 [1,1,1,4]=>2 [1,1,2,1,1,1]=>2 [1,1,2,1,2]=>2 [1,1,2,2,1]=>2 [1,1,2,3]=>3 [1,1,3,1,1]=>2 [1,1,3,2]=>2 [1,1,4,1]=>2 [1,1,5]=>2 [1,2,1,1,1,1]=>2 [1,2,1,1,2]=>2 [1,2,1,2,1]=>2 [1,2,1,3]=>3 [1,2,2,1,1]=>2 [1,2,2,2]=>2 [1,2,3,1]=>3 [1,2,4]=>3 [1,3,1,1,1]=>2 [1,3,1,2]=>2 [1,3,2,1]=>2 [1,3,3]=>2 [1,4,1,1]=>2 [1,4,2]=>2 [1,5,1]=>2 [1,6]=>2 [2,1,1,1,1,1]=>1 [2,1,1,1,2]=>1 [2,1,1,2,1]=>1 [2,1,1,3]=>2 [2,1,2,1,1]=>1 [2,1,2,2]=>1 [2,1,3,1]=>2 [2,1,4]=>2 [2,2,1,1,1]=>1 [2,2,1,2]=>1 [2,2,2,1]=>1 [2,2,3]=>2 [2,3,1,1]=>2 [2,3,2]=>2 [2,4,1]=>2 [2,5]=>2 [3,1,1,1,1]=>1 [3,1,1,2]=>1 [3,1,2,1]=>1 [3,1,3]=>1 [3,2,1,1]=>1 [3,2,2]=>1 [3,3,1]=>1 [3,4]=>2 [4,1,1,1]=>1 [4,1,2]=>1 [4,2,1]=>1 [4,3]=>1 [5,1,1]=>1 [5,2]=>1 [6,1]=>1 [7]=>1 [1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,2]=>2 [1,1,1,1,1,2,1]=>2 [1,1,1,1,1,3]=>2 [1,1,1,1,2,1,1]=>2 [1,1,1,1,2,2]=>2 [1,1,1,1,3,1]=>2 [1,1,1,1,4]=>2 [1,1,1,2,1,1,1]=>2 [1,1,1,2,1,2]=>2 [1,1,1,2,2,1]=>2 [1,1,1,2,3]=>3 [1,1,1,3,1,1]=>2 [1,1,1,3,2]=>2 [1,1,1,4,1]=>2 [1,1,1,5]=>2 [1,1,2,1,1,1,1]=>2 [1,1,2,1,1,2]=>2 [1,1,2,1,2,1]=>2 [1,1,2,1,3]=>3 [1,1,2,2,1,1]=>2 [1,1,2,2,2]=>2 [1,1,2,3,1]=>3 [1,1,2,4]=>3 [1,1,3,1,1,1]=>2 [1,1,3,1,2]=>2 [1,1,3,2,1]=>2 [1,1,3,3]=>2 [1,1,4,1,1]=>2 [1,1,4,2]=>2 [1,1,5,1]=>2 [1,1,6]=>2 [1,2,1,1,1,1,1]=>2 [1,2,1,1,1,2]=>2 [1,2,1,1,2,1]=>2 [1,2,1,1,3]=>3 [1,2,1,2,1,1]=>2 [1,2,1,2,2]=>2 [1,2,1,3,1]=>3 [1,2,1,4]=>3 [1,2,2,1,1,1]=>2 [1,2,2,1,2]=>2 [1,2,2,2,1]=>2 [1,2,2,3]=>3 [1,2,3,1,1]=>3 [1,2,3,2]=>3 [1,2,4,1]=>3 [1,2,5]=>3 [1,3,1,1,1,1]=>2 [1,3,1,1,2]=>2 [1,3,1,2,1]=>2 [1,3,1,3]=>2 [1,3,2,1,1]=>2 [1,3,2,2]=>2 [1,3,3,1]=>2 [1,3,4]=>3 [1,4,1,1,1]=>2 [1,4,1,2]=>2 [1,4,2,1]=>2 [1,4,3]=>2 [1,5,1,1]=>2 [1,5,2]=>2 [1,6,1]=>2 [1,7]=>2 [2,1,1,1,1,1,1]=>1 [2,1,1,1,1,2]=>1 [2,1,1,1,2,1]=>1 [2,1,1,1,3]=>2 [2,1,1,2,1,1]=>1 [2,1,1,2,2]=>1 [2,1,1,3,1]=>2 [2,1,1,4]=>2 [2,1,2,1,1,1]=>1 [2,1,2,1,2]=>1 [2,1,2,2,1]=>1 [2,1,2,3]=>2 [2,1,3,1,1]=>2 [2,1,3,2]=>2 [2,1,4,1]=>2 [2,1,5]=>2 [2,2,1,1,1,1]=>1 [2,2,1,1,2]=>1 [2,2,1,2,1]=>1 [2,2,1,3]=>2 [2,2,2,1,1]=>1 [2,2,2,2]=>1 [2,2,3,1]=>2 [2,2,4]=>2 [2,3,1,1,1]=>2 [2,3,1,2]=>2 [2,3,2,1]=>2 [2,3,3]=>2 [2,4,1,1]=>2 [2,4,2]=>2 [2,5,1]=>2 [2,6]=>2 [3,1,1,1,1,1]=>1 [3,1,1,1,2]=>1 [3,1,1,2,1]=>1 [3,1,1,3]=>1 [3,1,2,1,1]=>1 [3,1,2,2]=>1 [3,1,3,1]=>1 [3,1,4]=>2 [3,2,1,1,1]=>1 [3,2,1,2]=>1 [3,2,2,1]=>1 [3,2,3]=>1 [3,3,1,1]=>1 [3,3,2]=>1 [3,4,1]=>2 [3,5]=>2 [4,1,1,1,1]=>1 [4,1,1,2]=>1 [4,1,2,1]=>1 [4,1,3]=>1 [4,2,1,1]=>1 [4,2,2]=>1 [4,3,1]=>1 [4,4]=>1 [5,1,1,1]=>1 [5,1,2]=>1 [5,2,1]=>1 [5,3]=>1 [6,1,1]=>1 [6,2]=>1 [7,1]=>1 [8]=>1 [1,1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,1,2]=>2 [1,1,1,1,1,1,2,1]=>2 [1,1,1,1,1,1,3]=>2 [1,1,1,1,1,2,1,1]=>2 [1,1,1,1,1,2,2]=>2 [1,1,1,1,1,3,1]=>2 [1,1,1,1,1,4]=>2 [1,1,1,1,2,1,1,1]=>2 [1,1,1,1,2,1,2]=>2 [1,1,1,1,2,2,1]=>2 [1,1,1,1,2,3]=>3 [1,1,1,1,3,1,1]=>2 [1,1,1,1,3,2]=>2 [1,1,1,1,4,1]=>2 [1,1,1,1,5]=>2 [1,1,1,2,1,1,1,1]=>2 [1,1,1,2,1,1,2]=>2 [1,1,1,2,1,2,1]=>2 [1,1,1,2,1,3]=>3 [1,1,1,2,2,1,1]=>2 [1,1,1,2,2,2]=>2 [1,1,1,2,3,1]=>3 [1,1,1,2,4]=>3 [1,1,1,3,1,1,1]=>2 [1,1,1,3,1,2]=>2 [1,1,1,3,2,1]=>2 [1,1,1,3,3]=>2 [1,1,1,4,1,1]=>2 [1,1,1,4,2]=>2 [1,1,1,5,1]=>2 [1,1,1,6]=>2 [1,1,2,1,1,1,1,1]=>2 [1,1,2,1,1,1,2]=>2 [1,1,2,1,1,2,1]=>2 [1,1,2,1,1,3]=>3 [1,1,2,1,2,1,1]=>2 [1,1,2,1,2,2]=>2 [1,1,2,1,3,1]=>3 [1,1,2,1,4]=>3 [1,1,2,2,1,1,1]=>2 [1,1,2,2,1,2]=>2 [1,1,2,2,2,1]=>2 [1,1,2,2,3]=>3 [1,1,2,3,1,1]=>3 [1,1,2,3,2]=>3 [1,1,2,4,1]=>3 [1,1,2,5]=>3 [1,1,3,1,1,1,1]=>2 [1,1,3,1,1,2]=>2 [1,1,3,1,2,1]=>2 [1,1,3,1,3]=>2 [1,1,3,2,1,1]=>2 [1,1,3,2,2]=>2 [1,1,3,3,1]=>2 [1,1,3,4]=>3 [1,1,4,1,1,1]=>2 [1,1,4,1,2]=>2 [1,1,4,2,1]=>2 [1,1,4,3]=>2 [1,1,5,1,1]=>2 [1,1,5,2]=>2 [1,1,6,1]=>2 [1,1,7]=>2 [1,2,1,1,1,1,1,1]=>2 [1,2,1,1,1,1,2]=>2 [1,2,1,1,1,2,1]=>2 [1,2,1,1,1,3]=>3 [1,2,1,1,2,1,1]=>2 [1,2,1,1,2,2]=>2 [1,2,1,1,3,1]=>3 [1,2,1,1,4]=>3 [1,2,1,2,1,1,1]=>2 [1,2,1,2,1,2]=>2 [1,2,1,2,2,1]=>2 [1,2,1,2,3]=>3 [1,2,1,3,1,1]=>3 [1,2,1,3,2]=>3 [1,2,1,4,1]=>3 [1,2,1,5]=>3 [1,2,2,1,1,1,1]=>2 [1,2,2,1,1,2]=>2 [1,2,2,1,2,1]=>2 [1,2,2,1,3]=>3 [1,2,2,2,1,1]=>2 [1,2,2,2,2]=>2 [1,2,2,3,1]=>3 [1,2,2,4]=>3 [1,2,3,1,1,1]=>3 [1,2,3,1,2]=>3 [1,2,3,2,1]=>3 [1,2,3,3]=>3 [1,2,4,1,1]=>3 [1,2,4,2]=>3 [1,2,5,1]=>3 [1,2,6]=>3 [1,3,1,1,1,1,1]=>2 [1,3,1,1,1,2]=>2 [1,3,1,1,2,1]=>2 [1,3,1,1,3]=>2 [1,3,1,2,1,1]=>2 [1,3,1,2,2]=>2 [1,3,1,3,1]=>2 [1,3,1,4]=>3 [1,3,2,1,1,1]=>2 [1,3,2,1,2]=>2 [1,3,2,2,1]=>2 [1,3,2,3]=>2 [1,3,3,1,1]=>2 [1,3,3,2]=>2 [1,3,4,1]=>3 [1,3,5]=>3 [1,4,1,1,1,1]=>2 [1,4,1,1,2]=>2 [1,4,1,2,1]=>2 [1,4,1,3]=>2 [1,4,2,1,1]=>2 [1,4,2,2]=>2 [1,4,3,1]=>2 [1,4,4]=>2 [1,5,1,1,1]=>2 [1,5,1,2]=>2 [1,5,2,1]=>2 [1,5,3]=>2 [1,6,1,1]=>2 [1,6,2]=>2 [1,7,1]=>2 [1,8]=>2 [2,1,1,1,1,1,1,1]=>1 [2,1,1,1,1,1,2]=>1 [2,1,1,1,1,2,1]=>1 [2,1,1,1,1,3]=>2 [2,1,1,1,2,1,1]=>1 [2,1,1,1,2,2]=>1 [2,1,1,1,3,1]=>2 [2,1,1,1,4]=>2 [2,1,1,2,1,1,1]=>1 [2,1,1,2,1,2]=>1 [2,1,1,2,2,1]=>1 [2,1,1,2,3]=>2 [2,1,1,3,1,1]=>2 [2,1,1,3,2]=>2 [2,1,1,4,1]=>2 [2,1,1,5]=>2 [2,1,2,1,1,1,1]=>1 [2,1,2,1,1,2]=>1 [2,1,2,1,2,1]=>1 [2,1,2,1,3]=>2 [2,1,2,2,1,1]=>1 [2,1,2,2,2]=>1 [2,1,2,3,1]=>2 [2,1,2,4]=>2 [2,1,3,1,1,1]=>2 [2,1,3,1,2]=>2 [2,1,3,2,1]=>2 [2,1,3,3]=>2 [2,1,4,1,1]=>2 [2,1,4,2]=>2 [2,1,5,1]=>2 [2,1,6]=>2 [2,2,1,1,1,1,1]=>1 [2,2,1,1,1,2]=>1 [2,2,1,1,2,1]=>1 [2,2,1,1,3]=>2 [2,2,1,2,1,1]=>1 [2,2,1,2,2]=>1 [2,2,1,3,1]=>2 [2,2,1,4]=>2 [2,2,2,1,1,1]=>1 [2,2,2,1,2]=>1 [2,2,2,2,1]=>1 [2,2,2,3]=>2 [2,2,3,1,1]=>2 [2,2,3,2]=>2 [2,2,4,1]=>2 [2,2,5]=>2 [2,3,1,1,1,1]=>2 [2,3,1,1,2]=>2 [2,3,1,2,1]=>2 [2,3,1,3]=>2 [2,3,2,1,1]=>2 [2,3,2,2]=>2 [2,3,3,1]=>2 [2,3,4]=>3 [2,4,1,1,1]=>2 [2,4,1,2]=>2 [2,4,2,1]=>2 [2,4,3]=>2 [2,5,1,1]=>2 [2,5,2]=>2 [2,6,1]=>2 [2,7]=>2 [3,1,1,1,1,1,1]=>1 [3,1,1,1,1,2]=>1 [3,1,1,1,2,1]=>1 [3,1,1,1,3]=>1 [3,1,1,2,1,1]=>1 [3,1,1,2,2]=>1 [3,1,1,3,1]=>1 [3,1,1,4]=>2 [3,1,2,1,1,1]=>1 [3,1,2,1,2]=>1 [3,1,2,2,1]=>1 [3,1,2,3]=>1 [3,1,3,1,1]=>1 [3,1,3,2]=>1 [3,1,4,1]=>2 [3,1,5]=>2 [3,2,1,1,1,1]=>1 [3,2,1,1,2]=>1 [3,2,1,2,1]=>1 [3,2,1,3]=>1 [3,2,2,1,1]=>1 [3,2,2,2]=>1 [3,2,3,1]=>1 [3,2,4]=>2 [3,3,1,1,1]=>1 [3,3,1,2]=>1 [3,3,2,1]=>1 [3,3,3]=>1 [3,4,1,1]=>2 [3,4,2]=>2 [3,5,1]=>2 [3,6]=>2 [4,1,1,1,1,1]=>1 [4,1,1,1,2]=>1 [4,1,1,2,1]=>1 [4,1,1,3]=>1 [4,1,2,1,1]=>1 [4,1,2,2]=>1 [4,1,3,1]=>1 [4,1,4]=>1 [4,2,1,1,1]=>1 [4,2,1,2]=>1 [4,2,2,1]=>1 [4,2,3]=>1 [4,3,1,1]=>1 [4,3,2]=>1 [4,4,1]=>1 [4,5]=>2 [5,1,1,1,1]=>1 [5,1,1,2]=>1 [5,1,2,1]=>1 [5,1,3]=>1 [5,2,1,1]=>1 [5,2,2]=>1 [5,3,1]=>1 [5,4]=>1 [6,1,1,1]=>1 [6,1,2]=>1 [6,2,1]=>1 [6,3]=>1 [7,1,1]=>1 [7,2]=>1 [8,1]=>1 [9]=>1 [1,1,1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,2,2]=>2 [1,1,1,1,2,1,1,2]=>2 [1,1,1,1,2,2,1,1]=>2 [1,1,1,1,3,3]=>2 [1,1,1,1,5,1]=>2 [1,1,2,1,1,1,1,2]=>2 [1,1,2,1,1,2,1,1]=>2 [1,1,2,1,2,3]=>3 [1,1,2,2,1,1,1,1]=>2 [1,1,2,2,2,2]=>2 [1,1,3,1,1,3]=>2 [1,1,3,2,1,2]=>2 [1,1,3,3,1,1]=>2 [1,1,4,4]=>2 [1,1,7,1]=>2 [1,2,1,1,4,1]=>3 [1,2,6,1]=>3 [1,3,1,1,3,1]=>2 [1,3,5,1]=>3 [1,4,1,1,2,1]=>2 [1,4,4,1]=>2 [1,5,1,1,1,1]=>2 [1,5,3,1]=>2 [1,6,1,2]=>2 [1,6,2,1]=>2 [1,7,1,1]=>2 [1,8,1]=>2 [1,9]=>2 [2,1,1,1,1,1,1,2]=>1 [2,1,1,1,1,2,1,1]=>1 [2,1,1,1,2,3]=>2 [2,1,1,2,1,1,1,1]=>1 [2,1,1,2,2,2]=>1 [2,1,2,1,1,3]=>2 [2,1,2,2,1,2]=>1 [2,1,2,3,1,1]=>2 [2,1,3,4]=>3 [2,1,6,1]=>2 [2,2,1,1,1,1,1,1]=>1 [2,2,1,1,2,2]=>1 [2,2,2,1,1,2]=>1 [2,2,2,2,1,1]=>1 [2,2,3,3]=>2 [3,1,1,1,1,3]=>1 [3,1,1,2,1,2]=>1 [3,1,1,3,1,1]=>1 [3,1,2,4]=>2 [3,2,1,1,1,2]=>1 [3,2,1,2,1,1]=>1 [3,2,2,3]=>1 [3,3,1,1,1,1]=>1 [3,3,2,2]=>1 [4,1,1,4]=>1 [4,2,1,3]=>1 [4,3,1,2]=>1 [4,4,1,1]=>1 [5,5]=>1 [8,1,1]=>1 [9,1]=>1 [1,10]=>2 [1,8,1,1]=>2 [1,7,2,1]=>2 [1,6,3,1]=>2 [1,5,4,1]=>2 [1,4,5,1]=>3 [1,3,6,1]=>3 [1,2,7,1]=>3 [1,1,8,1]=>2 [10,1]=>1 [1,1,1,1,1,1,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,1,1,2,2]=>2 [1,1,1,1,1,1,2,2,1,1]=>2 [1,1,1,1,1,1,2,1,1,2]=>2 [1,1,1,1,1,1,3,3]=>2 [1,1,1,1,2,2,1,1,1,1]=>2 [1,1,1,1,2,2,2,2]=>2 [1,1,1,1,2,1,1,2,1,1]=>2 [1,1,1,1,2,1,1,1,1,2]=>2 [1,1,1,1,2,1,2,3]=>3 [1,1,1,1,3,3,1,1]=>2 [1,1,1,1,3,2,1,2]=>2 [1,1,1,1,3,1,1,3]=>2 [1,1,1,1,4,4]=>2 [1,1,2,2,1,1,1,1,1,1]=>2 [1,1,2,2,1,1,2,2]=>2 [1,1,2,2,2,2,1,1]=>2 [1,1,2,2,2,1,1,2]=>2 [1,1,2,2,3,3]=>3 [1,1,2,1,1,2,1,1,1,1]=>2 [1,1,2,1,1,2,2,2]=>2 [1,1,2,1,1,1,1,2,1,1]=>2 [1,1,2,1,1,1,1,1,1,2]=>2 [1,1,2,1,1,1,2,3]=>3 [1,1,2,1,2,3,1,1]=>3 [1,1,2,1,2,2,1,2]=>2 [1,1,2,1,2,1,1,3]=>3 [1,1,2,1,3,4]=>4 [1,1,3,3,1,1,1,1]=>2 [1,1,3,3,2,2]=>2 [1,1,3,2,1,2,1,1]=>2 [1,1,3,2,1,1,1,2]=>2 [1,1,3,2,2,3]=>2 [1,1,3,1,1,3,1,1]=>2 [1,1,3,1,1,2,1,2]=>2 [1,1,3,1,1,1,1,3]=>2 [1,1,3,1,2,4]=>3 [1,1,4,4,1,1]=>2 [1,1,4,3,1,2]=>2 [1,1,4,2,1,3]=>2 [1,1,4,1,1,4]=>2 [1,1,5,5]=>2 [2,2,1,1,1,1,1,1,1,1]=>1 [2,2,1,1,1,1,2,2]=>1 [2,2,1,1,2,2,1,1]=>1 [2,2,1,1,2,1,1,2]=>1 [2,2,1,1,3,3]=>2 [2,2,2,2,1,1,1,1]=>1 [2,2,2,2,2,2]=>1 [2,2,2,1,1,2,1,1]=>1 [2,2,2,1,1,1,1,2]=>1 [2,2,2,1,2,3]=>2 [2,2,3,3,1,1]=>2 [2,2,3,2,1,2]=>2 [2,2,3,1,1,3]=>2 [2,2,4,4]=>2 [2,1,1,2,1,1,1,1,1,1]=>1 [2,1,1,2,1,1,2,2]=>1 [2,1,1,2,2,2,1,1]=>1 [2,1,1,2,2,1,1,2]=>1 [2,1,1,2,3,3]=>2 [2,1,1,1,1,2,1,1,1,1]=>1 [2,1,1,1,1,2,2,2]=>1 [2,1,1,1,1,1,1,2,1,1]=>1 [2,1,1,1,1,1,1,1,1,2]=>1 [2,1,1,1,1,1,2,3]=>2 [2,1,1,1,2,3,1,1]=>2 [2,1,1,1,2,2,1,2]=>1 [2,1,1,1,2,1,1,3]=>2 [2,1,1,1,3,4]=>3 [2,1,2,3,1,1,1,1]=>2 [2,1,2,3,2,2]=>2 [2,1,2,2,1,2,1,1]=>1 [2,1,2,2,1,1,1,2]=>1 [2,1,2,2,2,3]=>2 [2,1,2,1,1,3,1,1]=>2 [2,1,2,1,1,2,1,2]=>1 [2,1,2,1,1,1,1,3]=>2 [2,1,2,1,2,4]=>2 [2,1,3,4,1,1]=>3 [2,1,3,3,1,2]=>2 [2,1,3,2,1,3]=>2 [2,1,3,1,1,4]=>3 [2,1,4,5]=>3 [3,3,1,1,1,1,1,1]=>1 [3,3,1,1,2,2]=>1 [3,3,2,2,1,1]=>1 [3,3,2,1,1,2]=>1 [3,3,3,3]=>1 [3,2,1,2,1,1,1,1]=>1 [3,2,1,2,2,2]=>1 [3,2,1,1,1,2,1,1]=>1 [3,2,1,1,1,1,1,2]=>1 [3,2,1,1,2,3]=>1 [3,2,2,3,1,1]=>1 [3,2,2,2,1,2]=>1 [3,2,2,1,1,3]=>1 [3,2,3,4]=>2 [3,1,1,3,1,1,1,1]=>1 [3,1,1,3,2,2]=>1 [3,1,1,2,1,2,1,1]=>1 [3,1,1,2,1,1,1,2]=>1 [3,1,1,2,2,3]=>1 [3,1,1,1,1,3,1,1]=>1 [3,1,1,1,1,2,1,2]=>1 [3,1,1,1,1,1,1,3]=>1 [3,1,1,1,2,4]=>2 [3,1,2,4,1,1]=>2 [3,1,2,3,1,2]=>1 [3,1,2,2,1,3]=>1 [3,1,2,1,1,4]=>2 [3,1,3,5]=>2 [4,4,1,1,1,1]=>1 [4,4,2,2]=>1 [4,3,1,2,1,1]=>1 [4,3,1,1,1,2]=>1 [4,3,2,3]=>1 [4,2,1,3,1,1]=>1 [4,2,1,2,1,2]=>1 [4,2,1,1,1,3]=>1 [4,2,2,4]=>1 [4,1,1,4,1,1]=>1 [4,1,1,3,1,2]=>1 [4,1,1,2,1,3]=>1 [4,1,1,1,1,4]=>1 [4,1,2,5]=>2 [5,5,1,1]=>1 [5,4,1,2]=>1 [5,3,1,3]=>1 [5,2,1,4]=>1 [5,1,1,5]=>1 [6,6]=>1
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Description
The number of strong records in an integer composition.
A strong record is an element $a_i$ such that $a_i > a_j$ for all $j < i$. In particular, the first part of a composition is a strong record.
Theorem 1.1 of [1] provides the generating function for compositions with parts in a given set according to the sum of the parts, the number of parts and the number of strong records.
References
[1] Knopfmacher, A., Mansour, T. Record statistics in integer compositions MathSciNet:2721540
Code
def statistic(pi):
    pi = list(pi)
    i = 0
    res = 0
    for j in range(len(pi)):
        if pi[j] > i:
            i = pi[j] 
            res += 1
    return res
Created
Apr 08, 2017 at 21:56 by Martin Rubey
Updated
Jul 02, 2019 at 22:33 by Martin Rubey