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Author: mathforces
Problem has been solved: 47 times

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For some function $ f: Z \to Z $ it turned out that $ f (n) + f (m) = f (n + 1) + f (m-1) $, for any $ n $, $ m \in Z $. If $ f (2021) = 1202$ and $ f (1202) = 2021$, then what is the product of the digits of $ f (1) $?





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