# Intervals, Equalities and Functions - Part 1

Level 2

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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