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MathNet 2009-part-01 — 175 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 113

On a $10 \times 10$ chessboard, some $4n$ unit square fields are chosen to form a region $R$. This region $R$ can be tiled by $n$ $2 \times 2$ squares. If $R$ can also be tiled by a combination of $n$ pieces of the following types of shapes (with rotations allowed).
Question illustration
Question illustration
Determine the minimum value of $n$. (Posed by Zhu Huawei)