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MathNet 2002 — Part 02 Question 127

Math Olympiad Vault · MathNet 2002 — Part 02

Question 127

Let $n$ be an integer. Prove that
$$
\left\lfloor\frac{n}{2}\right\rfloor+\left\lfloor\frac{n+1}{2}\right\rfloor=n .
$$