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MathNet 2009-part-05 — 172 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 76

Descartes's Blackjack: How many integer lattice points (points of the form $(m, n)$ for integers $m$ and $n$) lie inside or on the boundary of the disk of radius $2009$ centered at the origin?

If your answer is higher than the correct answer, you will receive $0$ points. If your answer is $d$ less than the correct answer, your score on this problem will be the larger of $0$ and $25 - \lfloor d / 10 \rfloor$.