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MathNet 2016-part-04 — 184 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 104

A square is dissected into $n^2 \ge 4$ rectangles by $n-1$ vertical lines and $n-1$ horizontal lines. Prove that one may choose $2n$ of these rectangles such that for any two of the chosen rectangles, one can be put completely into the other (perhaps, after some rotation).