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MathNet 2011 Question 40

Math Olympiad Vault · MathNet 2011

Question 40

Olesya writes down numbers $1, 2, 3, 4, 5, 6$ at the vertices of a prism. After this, at each edge Andriy writes down the sum of numbers that are written at the vertices that form this edge. Can Olesya write numbers in such a way that all Andriy's numbers are different?