HMMT 2007 F7
- General 2
- Answer
My friend and I are playing a game with the following rules: If one of us says an integer , the opponent then says an integer of their choice between and , inclusive. Whoever first says 2007 or greater loses the game, and their opponent wins. I must begin the game by saying a positive integer less than 10 . With how many of them can I guarantee a win?
Dataset text NuminaMath olympiads. Quoted with source.
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