olymmath

RU-ALLRUSSIAN 1982 Problem 14

    An integer is put in each cell of an n×n\mathrm{n} \times \mathrm{n} array. The difference between the integers in cells which share a side is 0 or 1. Show that some integer occurs at least n\mathrm{n} times.

    Dataset text NuminaMath olympiads. Quoted with source.

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