Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2019-part-07 — 184 problems (EN–VI) Question 103

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

Question 103

Given a white $6 \times 2019$ table. Andrii and Arsenii are playing the following game: one after another (starting with Andrii) a player colors one of the $1 \times 1$ cells in black. Moreover, one's turn cannot create a $3 \times 3$ square that contains two black cells. Whoever doesn't have a turn loses. Who will win if both want to win the game? And what is the strategy?

Question illustration

**Fig. 3**