AMO-Bench 2025 Problem 17

Let $\{x_1, x_2, \ldots, x_{2025}\} = \{1, 2, \ldots, 2025\}$ . Find the greatest positive integer less than $\sum_{i=1}^{2024} \frac{x_i}{x_{i+1}}.$

Dataset text AMO-Bench. Open licence.

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2016

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.