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MathNet 2017-part-05 — 176 problems (EN–VI) Question 71

Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)

Question 71

What values can assume $[\sqrt{m} + \frac{1}{m+n}] + [\sqrt{n} + \frac{1}{m+n}] - [\sqrt{m}] - [\sqrt{n}]$, when $m$ and $n$ are integers $\ge 9$?