Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2019-part-02 — 184 problems (EN–VI) Question 16

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 16

The figure below represents a bookcase with two shelves holding five piles of books, three of them with two books and two of them with only one book. Alice and Luiz invented a game in which each of them, alternately, removes one or two books from one of the piles of books. Whoever takes the last book wins. Alice starts the challenge. Which of them has a winning strategy, whatever the opponent's moves?

Question illustration