ALL PREVIOUS ACTIONS HAVE BEEN EXHAUSTED WITHOUT FINDING AN ANSWER.

{{failed_count}} research directions were explored and failed. Below is each direction and the reasoning from its final step, which explains why it did not produce a result:

{{failed_summaries}}

INSTRUCTIONS FOR NEW PROPOSALS:

1. Avoid repeating the above directions — prefer new angles, different variables, or alternative search strategies, but refining a previous direction with a meaningful twist is acceptable.
2. Analyze the failure reasons — identify gaps, wrong assumptions, or overlooked angles in the previous attempts.
3. Prioritize directions that address weaknesses revealed by the failures above (e.g., if direct searches failed, try indirect connections; if broad searches were too noisy, try more specific constraints).
4. Each direction must be self-contained and immediately actionable.