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OMCPLP 2015 Problem 3

  • Day 1

In the center of a square is a rabbit and at each vertex of this even square, a wolf. The wolves only move along the sides of the square and the rabbit moves freely in the plane. Knowing that the rabbit move at a speed of 1010 km / h and that the wolves move to a maximum speed of 1414 km / h, determine if there is a strategy for the rabbit to leave the square without being caught by the wolves.

Dataset text AI-MO AoPS. Quoted with source.

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