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MathNet 2015-part-02 — 191 problems (EN–VI) Question 101

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 101

A natural number $n$ is given. Square with side of length $n$ is divided into $n^2$ unit squares. For the distance between two squares we consider the distance from centre to centre. Find the number of pairs of squares whose distance is $5$.