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Problem of the Week
Problem E
Count on That

Let \(n\) be a positive integer. How many values of \(n\) satisfy the following inequality? \[(n-1)(n-3)(n-5)\cdots(n-2019)(n-2021) \leq 0\] Note: The product on the left side of the inequality consists of \(1011\) factors of the form \(n-d\), where the value of \(d\) starts at \(1\) and increases by \(2\) for each subsequent factor.