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MathNet 2018-part-04 — 181 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 40

How many distinct numbers are there in the sequence $\left\lfloor\frac{1^{2}}{2018}\right\rfloor, \left\lfloor\frac{2^{2}}{2018}\right\rfloor, \ldots, \left\lfloor\frac{2018^{2}}{2018}\right\rfloor$?