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MathNet 2022-part-01 — 197 problems (EN–VI) Question 79

Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)

Question 79

The $2022 \times 2022$ board was cut into tetraminoes of two types: L-tetramino $L$ and Z-tetramino $Z$. Each tetramino consists of four unit squares, tetriminoes can be rotated and flipped.
Find the smallest number of $Z$-tetriminoes that could be obtained.