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MathNet 2018-part-03 — 181 problems (EN–VI) Question 17

Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)

Question 17

For which natural number $n$ is it possible to place natural numbers from $1$ to $3n$ on the edges of a right $n$-angled prism (on each edge there is exactly one number placed and each one is used exactly 1 time) in such a way that the sum of all the numbers that surround each face is the same?