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MathNet 2022-part-06 — 196 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 40

Aerith writes a positive integer in each cell of a $2021 \times 2021$ grid. Every second, Bob will pick a cell with value at least five if one exists, decrease its value by four, and increment each of the cell's neighbors by $1$. Must this process always stop?