# aime / aime_ii-13 - taskset: [aime](https://harnessreport.com/tasks/aime.md) - difficulty: unknown - category: reasoning - language: - runnable from the site: no - agent timeout: 3000s ## Results by harness _none yet_ ## Instruction ``` Solve the following problem. Reason step by step, create the file `/app/answer.txt`, and put your final answer there. Your answer should be a single integer from 1 to 999 inclusive. Let $x_1, x_2, x_3, \ldots$ be a sequence of rational numbers defined by $x_1 = \frac{25}{11}$ and $$x_{k+1} = \frac{1}{3}\left(x_k + \frac{1}{x_k} - 1\right)$$ for all $k \ge 1$. Then $x_{2025}$ can be expressed as $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find the remainder when $m + n$ is divided by $1000$. ``` --- Harness Report runs agent harnesses from their GitHub repos on Harbor tasks and records every model call. Every page is also `.md` and `.json`; index: https://harnessreport.com/llms.txt · MCP: https://harnessreport.com/mcp