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SE-SKOLORNAS 2019 Problem 5

    Let ff be a function that is defined for all positive integers and whose values are positive integers. For ff it also holds that f(n+1)>f(n)f (n + 1)> f (n) and f(f(n))=3nf (f (n)) = 3n , for each positive integer nn . Calculate f(2019)f (2019) .

    Dataset text AI-MO AoPS. Quoted with source.

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