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MathNet 2023-part-05 — 191 problems (EN–VI) Question 128

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 128

Mohammed has a chess board, colored white and black in the usual way and mentioned a point, which lies strictly inside one of the 64 cells. Ahmed can draw any closed broken line without self-intersections and ask Mohammed whether his point is inside or outside the broken line. How many questions does Ahmed need to ask so that he can find out whether the point is in a black or in a white cell?