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RU-ALLRUSSIAN 2009 Problem 94

  • Grade 9

There are n cups arranged on the circle. Under one of cups is hiden a coin. For every move, it is allowed to choose 4 cups and verify if the coin lies under these cups. After that, the cups are returned into its former places and the coin moves to one of two neigbor cups. What is the minimal number of moves we need in order to eventually find where the coin is?

Dataset text AI-MO AoPS. Quoted with source.

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