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MathNet 2023-part-05 — 191 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 72

Inside a square of side length $1$ there are $n \gt 1$ squares, whose side lengths add up to $1$, and each parallel to a side of the large square intersects the interior of at most one of the interior squares. Prove that the sides of the small squares are parallel to the sides of the large square.

Cristian Șăvescu