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IKMC 2027 - Grades 11-12 - Self-study SET 4 - Thematic Batch 3 Question 11

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 4 - Thematic Batch 3

Question 11

After New Year celebrations, Alex and Julia play a game with as many beans as the year number: this year they played with 2022 beans. They alternate removing from 1 to 12 beans, and whoever removes the last bean wins. Among future years, which is the earliest year in which the second player has a guaranteed winning strategy?

Question illustration
  1. 2023
  2. 2024
  3. 2026
  4. 2028
  5. The second player cannot win