olymmath

RU-ALLRUSSIAN 1985 Problem 15

    A move replaces the real numbers a, b, c, d by a- b, b- c, c- d, d- a. If a, b, c, d are not all equal, show that at least one of the numbers can exceed 1985 after a finite number of moves.

    Dataset text NuminaMath olympiads. Quoted with source.

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