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MathNet 2022-part-03 — 197 problems (EN–VI) Question 175

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 175

Kjell has a large piece of graph paper of $100 \times 100$ squares.
How many squares can Kjell colour at most without there being three coloured squares in a row, all directly next to each other or all directly above each other?