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MathNet 2011 Question 51

Math Olympiad Vault · MathNet 2011

Question 51

There are $n \ge 3$ burrows on a straight line. Mouse Jerry is hiding in one of these burrows. Cat Tom has a possibility to put his paw into one of the burrows and to catch Jerry if he is hiding in this burrow. After every Tom's attempt Jerry necessarily runs to the neighboring (left or right) burrow. Can Tom always catch Jerry?