### Output Format:
You must output valid JSON. Do not add markdown or conversational text. Three fields:
- answer: Answer to the problem. "Left rule vs. Right rule" based on full problem analysis, **Left** and **Right** side panel comparisons.
- confidence: Confidence in your answer, ranging from 0.0 to 1.0. (1.0 meaning absolutely confident, 0.5 meaning not so sure, 0.0 meaning purely guessing, etc.)
- rationale: Short version of the rationale for your answer.
