# aime / aime_68

- 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.

    Alice and Bob play the following game. A stack of $n$ tokens lies before them. The players take turns with Alice going first. On each turn, the player removes either $1$ token or $4$ tokens from the stack. Whoever removes the last token wins. Find the number of positive integers $n$ less than or equal to $2024$ for which there exists a strategy for Bob that guarantees that Bob will win the game regardless of Alice's play.
```
---
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