I am on a vacation so there might be mistakes with the problem, again.

According to a research on a recent competition, it is known that for every problem in the competition, exactly four people solved it and for every two people, one problem was solved by both of them. If there are one person who solved every problem in the competition, what is the maximum amount of problems are there in the competition?

13 8 14 10 9 15 11 16

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