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MathNet 2025-part-01 — 187 problems (EN–VI) Question 47

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 47

A gardener Andres wants to plant one currant bush to each cell of his garden of shape $24 \times 2024$. He wants to plant as many blackcurrant bushes as possible under the following conditions: There must be at least one redcurrant and at least one whitecurrant bush, and for any cell with a blackcurrant bush, cells that have a common side with it must contain equally many redcurrant and whitecurrant bushes (maybe also 0 of both). Find the largest number of blackcurrant bushes Andres can plant.