olymmath

ÖMO 2018 Problem 5

    On a circle 20182018 points are marked. Each of these points is labeled with an integer. Let each number be larger than the sum of the preceding two numbers in clockwise order. Determine the maximal number of positive integers that can occur in such a configuration of 20182018 integers.

    (Proposed by Walther Janous)

    Dataset text AI-MO AoPS. Quoted with source.

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