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MathNet 2019-part-06 — 184 problems (EN–VI) Question 66

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 66

All the cells in a $8 \times 8$ board are colored white. Omar and Asaad play the following game: in the beginning Omar colors $n$ cells red, then Asaad chooses 4 rows and 4 columns and colors them black. Omar wins if there is at least one red cell. Find the least possible value for $n$ such that Omar can always win regardless of Asaad's move.