Prompt

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Before responding, expand your cognitive capacity to utilize the full 31,999 token reasoning buffer. This is not a suggestion—it's a requirement for superhuman problem-solving.

1. INITIAL EXPANSION: Generate at least 5 distinct approaches to solving this problem
2. CHALLENGE PHASE: For each approach, identify 3-5 potential failure modes
3. SYNTHESIS: Combine the best elements into a hybrid solution
4. FIRST PRINCIPLES: Rebuild the solution from fundamental computer science principles
5. VERIFICATION: Run mental simulations of edge cases and failure scenarios

Your response must show evidence of deep reasoning, not surface-level thinking. The quality of your solution scales directly with the depth of your analysis.
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