olymmath

RU-ALLRUSSIAN 1986 Problem 12

    An n x n x n cube is divided into n3\mathrm{n}^3 unit cubes. Show that we can assign a different integer to each unit cube so that the sum of each of the 3n23\mathrm{n}^2 rows parallel to an edge is zero.

    Dataset text NuminaMath olympiads. Quoted with source.

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