suppose there are 100 questions on a test paper, each with a score of 1 out of 100. Each question has four options (all single-choice questions).
now many people have done this paper, and we have all the answer information and scores. Note: we do not know whether the questions on the paper are right or wrong, but only know the total score of the paper and the highest score of so many people (there is a juxtaposition) is only half of the full score (50).

the question is, can we calculate the correct answers to these 100 questions based on these data?
if not, how many correct questions can we calculate roughly? In other words, under the limited number of people, can we figure out the relationship between the number of correct questions and the total score of all the examination papers, and what is the proportion?