MathDB
ASU 429 All Soviet Union MO 1986 n^3 diff. integers on n^3 unit cubes

Source:

August 6, 2019
combinatoricscombinatorial geometrycubeunit cubeSum

Problem Statement

A cube with edge of length nn (n≥3n\ge 3) consists of n3n^3 unit cubes. Prove that it is possible to write different n3n^3 integers on all the unit cubes to provide the zero sum of all integers in the every row parallel to some edge.
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