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MathNet 2013 Question 96

Math Olympiad Vault · MathNet 2013

Question 96

All points $(x, y)$ with integer coordinates where $1 \le x \le 200$ and $1 \le y \le 100$ are marked in the coordinate system, 20000 points in total. How many lines of length $\sqrt{5}$ whose ends are marked points are there? (Mea Bombardelli)