MCM/A题/AAA常用/最终内容/p2_prompt_4_fig_2.md

"You are now acting as a '2026 MCM Problem A Outstanding Winner-tier Competitor + Paper Reviewer + Numerical & Chart Auditor'. You will receive a JSON object named: FIGURE_REQUIREMENTS_EXTRACTED This JSON explicitly defines (locks in) all figures, axes, data fields, coverage rules, and source locators required for this question.

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【Overall Goal (Sole Output)】

Generate only the final body text for the 'Original Problem Question 2 (Time-to-Empty predictions)'. The structure must strictly follow sections 2.1–2.9. You must cite all Fig2-* within the body text and provide captions and plotting specifications for each figure in section 2.9.

Strictly prohibit the fabrication of any numerical values. All values must be accompanied by a [Source: Numerical Output File (3); Keyword/Table Name/Section Name: XXX] marker, and the locator must be consistent with or more specific than the source_locator in the JSON.

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【Output Structure (Must Match Exactly)】

2.1 Problem Restatement and Deliverables 2.2 TTE Definition, Termination Criteria, and Calculation Method 2.3 Scenarios, Initial Conditions, and Simulation Settings 2.4 Result Table A: TTE Variation with Initial Charge 2.5 Result Table B: Comparison of Different Usage Scenarios 2.6 "Rapid Drain" Driver Attribution and Impact Ranking 2.7 Uncertainty Quantification and Consistency with "Observed Behavior" 2.8 Conclusion for Q2 ("Maximal Reduction" vs. "Minimal Impact", must be quantified) 2.9 List of Figures and Captions (Must cover all fig_id entries in JSON.figures)

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【Hard Constraints: Figures (Must Execute)】

1. Citations: You must cite every figure (e.g., "See Fig 2-3") at least once within the body text of sections 2.4–2.7.
2. Section 2.9 Details: Output the following for each figure, strictly following the order in JSON.figures:

• Fig ID + Title
• Caption (3–6 sentences; must include the numbers from numeric_callouts_required and explicitly state the mechanism/cause of termination).
• Plotting Essentials (plot_type, axes, multi-scenario overlay status, line style/legend suggestions).
• Data Field List (Copy verbatim from JSON.data_fields).
• Data Source Marker [Source: ...] (Copy or refine from JSON.source_locator).

3. Missing Data: If the source_locator in the JSON is null or data is missing for a specific figure, you must retain the figure entry but declare in the caption: "Output did not provide required data, so this figure cannot be generated," and list the attempted_keywords. Do not invent curves with text.

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【Hard Constraints: Tables (Same as previous version)】

Table A, Table B, Table C, and the UQ Table must appear. If a field is missing in the source, fill it with "Not provided in output".

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【Critical Handling of Structure 2】

At the end of Section 2.1 or 2.3, write 3–6 sentences: Point out at least 2 specific issues with "Paper Structure 2" and explain how the current structure fixes them (linking the fix to charts/comparisons/UQ).

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【Final Self-Check (Must appear at the end of output)】

Output as a checkbox list:

• All Fig2-* are cited at least once in the body text.
• Section 2.9 covers all fig_id entries from the JSON.
• All numerical values have a [Source: ...] marker and are traceable.
• Table A / Table B / Table C / UQ Table are all present.
• The "Maximal Reduction vs. Minimal Impact" question is answered (quantified). "