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BALKAN-SL 2018 N2

  • Answer

Find all functions f:N→Nf: \mathbb{N} \rightarrow \mathbb{N} such that

n!+f(m)!∣f(n)!+f(m!)n!+f(m)!\mid f(n)!+f(m!)

for all m,n∈Nm, n \in \mathbb{N}.

Dataset text NuminaMath olympiads. Quoted with source.

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f(n)=n

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