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MathNet 2022-part-01 — 197 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)

Question 70

Given $n \ge 2$ different integers greater than $-10$. It turned out that among them the amount of odd numbers equals to the largest even number, and the amount of even numbers equals to the largest odd number.
a) Find the smallest possible value of $n$.
b) Find the greatest possible value of $n$.