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MathNet 2026 — Part 10 Question 10

Math Olympiad Vault · MathNet 2026 — Part 10

Question 10

We have a row of boxes that is infinite in one direction, as shown.
Question illustration
Determine if it is possible to fill each box with a positive integer such that the number in every box (except the leftmost one) is greater than the average of the numbers in the two neighboring boxes.