Intervals, Equalities and Functions - Part 1

Level pending

Find the smallest possible output for \(f : \mathbb{R} \rightarrow \mathbb{R} \) such that for all the following equality holds \(f({\lfloor}x{\rfloor}y)\) \(=\) \(f(x){\lfloor}f(y){\rfloor}\)

Details and Assumptions

\({\lfloor}x{\rfloor}\) is the greatest integer less than \(x\)

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