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MathNet 2017-part-01 — 176 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 92

In the figure below, 16 equilateral triangles of side $1$ are drawn. We say that two of them are neighbors if they share a side. Determine whether it is possible to write the numbers from $1$ to $16$ inside these triangles so that all differences between the numbers placed in two neighboring triangles are $1$ or $2$.

Question illustration