Difference between revisions of "1990 IMO Problems/Problem 5"
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Revision as of 05:57, 5 July 2016
5. Given an initial integer , two players, and , choose integers , . . . alternately according to the following rules: Knowing \mathbb{A}n_{2k+1}n_{2k}\leq n_{2k+1}\leq n_{2k}^2n_{2k+1}\mathbb{B}n_{2k+2}\frac{n_{2k+1}}{n_{2k+2}}\mathbb{A}\mathbb{B}n_{0}\mathbb{A}\mathbb{B}$ have a winning strategy? (c) Neither player have a winning strategy?