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MathNet 2010 — Part 07 Question 11

Math Olympiad Vault · MathNet 2010 — Part 07

Question 11

Call a positive integer almost-square if it can be written as $a \cdot b$, where $a$ and $b$ are integers and $a \leq b \leq \frac{4}{3} a$. How many almost-square positive integers are less than or equal to $1000000$? Your score will be equal to $25-65 \frac{|A-C|}{\min (A, C)}$.