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MathNet 2008-part-04 — 165 problems (EN–VI) Question 90

Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)

Question 90

Consider three faces (unit-square grids) of an $n \times n \times n$ cube that meet at one of the corners of the cube. For which $n$ is it possible to cover them completely and without overlap with paper strips of size $3 \times 1$? The paper strips may also be stuck across the edges of the cube.