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MathNet 2019-part-07 — 184 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 78

Andrew and Olesya in turn cut some squares from the rectangle $4000 \times 2019$, following the lines in such a way that after every turn the remaining figure stays connected. The one who cannot make a move loses. Who is going to win if both children play the best they can, and Olesya is first?

(Bogdan Rublyov)

Question illustration
**Fig. 34**