HMMT 2001 U37
- Guts
- Answer
Alex and Bob have 30 matches. Alex picks up somewhere between one and six matches (inclusive), then Bob picks up somewhere between one and six matches, and so on. The player who picks up the last match wins. How many matches should Alex pick up at the beginning to guarantee that he will be able to win?
Dataset text NuminaMath olympiads. Quoted with source.
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