Statement

At Luca's university, the final exam for a course usually consists of a written part and an oral one, taken exactly in this order. As the difficulty of the written part varies among different exam sessions, each time a tedious work has to be done in order to properly set the oral admission threshold. Grades for written exams are assigned in the range 0---100. A student can take the oral exam if and only if his/her grade is greater than or equal to the threshold (which can also range from 0 to 100). The professor doesn't want to spend many days to assess lots of students (if the threshold is low). On the other hand, he can't be too strict setting an exaggeratedly high threshold. Luca's professor kindly asked him to ease his work providing a list with indications on how many students would be admitted to the oral exam for every possible threshold. Compute this list for Luca!