136 lines
9.0 KiB
Markdown
136 lines
9.0 KiB
Markdown
"You are now acting as a **'2026 MCM Problem A Outstanding Winner-tier Competitor + Paper Reviewer + Numerical Results Auditor + Chart Specification Auditor'**. I have uploaded and authorized you to directly read the following files:
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(1) Official Problem PDF
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(2) Our Modeling/Derivation Document
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(3) Numerical Computation & Verification: Prompts + Output Results (including all numerical values, tables, robustness checks, uncertainty quantification results, and potential artifacts like FIGURE_SPEC / SURVIVAL_CURVE)
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(4) Paper Structure 2 (May contain errors; only absorb critically)
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# ========================
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**【Overall Goal (Sole Output)】**
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Generate **only** the complete body text for the **'Original Problem Question 2 (Time-to-Empty predictions)'** that is **[ready to be pasted directly into the final paper]**.
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* You must fill in the body text, tables, and figure captions with the exact values from (3) verbatim.
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* **Strictly prohibit the fabrication of any numerical values** (not even 'reasonable-looking' ones).
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* (4) must only be critically absorbed: point out its issues and replace it with a superior structure.
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# ========================
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**【Mandatory Process (Must execute in order, but do not output your thought process)】**
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**Step 0 (Extraction List):**
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* Extract all "result artifact lists" related to Question 2 from (3), including but not limited to:
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TTE_TABLE / SCENARIO_TTE_TABLE / DRIVER_RANKING / MECH_SIGNATURES / SOBOL_TABLE (if used in Q2) / UQ_SUMMARY / SURVIVAL_CURVE / FIGURE_SPEC, etc.
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* Search the uploaded files for keywords like "Required diagrams list", "FigXX", "Figure", "图X":
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* If a "Required diagrams list" explicitly exists: Treat it as the highest priority and ensure all diagrams related to Q2 are covered.
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* If no explicit list exists: Use the **[Default Figure List]** provided later in this prompt as a hard constraint.
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**Step 1 (Write Question 2 Only):**
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* Generate the complete content for sections 2.1–2.9 as specified below (including table/figure citations, captions, conclusions, and self-check).
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* Every key conclusion must be bound to at least one number or interval from (3) and accompanied by a source marker.
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# ==================================
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**【Hard Constraint: Output Structure Must Match Exactly】**
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The final output must contain **exactly** the following 9 first-level subsections (copy the titles verbatim; you may add second/third-level headers within sections):
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2.1 Problem Restatement and Deliverables
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2.2 TTE Definition, Termination Criteria, and Calculation Method
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2.3 Scenarios, Initial Conditions, and Simulation Settings (Only those relevant to Q2)
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2.4 Result Table A: TTE Variation with Initial Charge (SOC/z0)
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2.5 Result Table B: Comparison of Different Usage Scenarios (including ΔTTE and Termination Causes)
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2.6 "Rapid Drain" Driver Attribution and Impact Ranking (Must be quantified)
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2.7 Uncertainty Quantification and Consistency with "Observed Behavior"
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2.8 Conclusion for Q2 (Answer the specific question in one sentence + Numerical Evidence)
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2.9 List of Figures and Captions (Must include all figures required for this question)
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*Note: Sections 2.4/2.5/2.6/2.7 must include tables (Markdown format), and the fields must meet the specifications below.*
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*Section 2.9 must include "Figure List + Captions + Plotting Points".*
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# ==================================
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**【Hard Constraint: Mandatory Tables and Fields】**
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**【Table A】 (Place in 2.4): TTE Variation with Initial Charge** (Must cover all z0/SOC values appearing in the output file)
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* **Mandatory Columns:** z0/SOC, TTE (with units), Termination Cause, avg_P or equivalent power metric (if provided), max_I or equivalent peak current metric (if provided), Remarks.
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* If a column is missing in (3): Fill the cell with "Not provided in output" and explain the absence in one sentence after the table (do not guess).
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**【Table B】 (Place in 2.5): Scenario Comparison** (Must cover all scenarios appearing in the output file)
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* **Mandatory Columns:** Scenario Name, Key Parameter/Activity Description, TTE (Units), ΔTTE relative to Baseline (Units), Termination Cause, Brief Mechanism Explanation (1 sentence, must refer back to model variables or numerical metrics).
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* You must explicitly identify which is the "Baseline Scenario" and explain the reason for this choice (one sentence).
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**【Table C】 (Place in 2.6): Impact Ranking (Driver Ranking)**
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* **Mandatory Columns:** Factor, Quantified Evidence (e.g., caused TTE drop of XX%, ΔTTE=XX, or Power increase of XX), Action Chain (expressed in model variables: P_tot→I→Δ/Heat→...), Conclusion (High/Medium/Low Impact).
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* Rankings must come from sensitivity/comparative experiments/ablation results in (3); if (3) provides no ranking data, explicitly write: "Output did not provide ranking experiments, so this paper only performs qualitative attribution."
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**【UQ Table/Paragraph】 (Place in 2.7): Uncertainty Quantification Results** (Numbers must appear)
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* Provide at least one type: Mean ± SD / 95% CI / Quantiles (Q10, Q50, Q90) / Survival Curve Key Points.
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* Explain the source of uncertainty (based on the actual settings in (3)).
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# ==================================
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**【Hard Constraint: Figures Must Appear — And Be Traceable】**
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**A) The body text must cite figures:**
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* In the relevant paragraphs of 2.4–2.7, citations like "As shown in Fig 2-X / See Fig 2-X" must appear at least once per section.
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* Figures must serve the argumentation of "Question 2" (TTE vs SOC, Scenario Differences, Mechanism Signatures, UQ/Survival Curves). Do not draw irrelevant figures just to fill space.
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**B) 2.9 Must output "Figure List + Captions + Plotting Points":**
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For each figure, you must provide the following fields (fixed order):
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* **Figure ID:** Fig2-1, Fig2-2, ...
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* **Figure Title:** (≤12 words)
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* **Caption:** (3–6 sentences, must include: Content Displayed + Key Numerical Findings + Termination Cause/Mechanism Keywords)
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* **Plotting Data Fields:** Explicitly state which table/CSV/JSON field (Column Name/Key Name) from (3) this comes from.
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* **Axes & Units:** x/y with units; if dual-axis, specify Left/Right.
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* **Data Source Marker:** [Source: Numerical Output File (3); Keyword/Table Name/Section Name: XXX] (Must be genuinely retrievable).
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**C) Default Figure List (Enforced when no "Required Diagrams List" is detected):**
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* **Fig2-1:** TTE vs z0/SOC (Line or Bar chart; from Table A or TTE_TABLE)
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* **Fig2-2:** Scenario ΔTTE Comparison (Bar chart; from Table B or SCENARIO_TTE_TABLE + ΔTTE)
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* **Fig2-3:** SOC Trajectory z(t) (Time series; from (3) Trajectory or z(t) in FIGURE_SPEC)
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* **Fig2-4:** I(t) and P_tot(t) (Dual-axis time series; from Trajectory or FIGURE_SPEC)
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* **Fig2-5:** T_b(t) Temperature Trajectory (Time series; from Trajectory or FIGURE_SPEC)
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* **Fig2-6:** Δ(t) Discriminant Trajectory (Time series; from Trajectory or FIGURE_SPEC)
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* **Fig2-7:** UQ Survival Curve S(t)=P(TTE>t) (From SURVIVAL_CURVE; mark p10/p50/p90 or CI key numbers in the caption)
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*If (3) lacks data for a specific figure:*
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* Do NOT use "descriptive text masquerading as a figure" to fake results.
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* Keep the figure entry, but in the caption explicitly write: "Output did not provide required data, so this figure cannot be generated from existing results," and list the keywords you attempted to locate.
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# ==================================
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**【Hard Constraint: Numerical "Traceability" Rules (Anti-Fabrication)】**
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Any numerical value appearing (including TTE, ΔTTE, Power, Current, Temperature, Confidence Intervals, Quantiles, etc.) must be immediately followed by a **[Numerical Source Marker]**:
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Format: **[Source: Numerical Output File (3); Keyword/Table Name/Section Name: XXX]**
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* If the corresponding value cannot be found in (3): You are prohibited from outputting that value; rewrite as "Not provided in output" and provide the keyword you tried to locate.
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# ==================================
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**【Hard Constraint: Mechanism Explanation Must be "Model-Based"】 & 【Critical Handling of Structure 2】**
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* Mechanism explanations in 2.5 and 2.6 must explicitly use a causal chain of key model variables at least once:
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Activity/Condition → P_tot↑ → I↑ → dz/dt accelerates OR Δ→0 / V_cut triggered → Termination occurs earlier → TTE↓
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* At the end of 2.1 or 2.3, add 3–6 sentences:
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Point out at least 2 specific issues with "Paper Structure 2" and explain how your current structure fixes them.
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# ==================================
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**【Final Self-Check (Must appear at the end of the output)】**
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Append a "Self-Check List" (checkboxes) at the very end of the text:
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* [ ] Table A includes all z0/SOC values
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* [ ] Table B includes all scenarios and identifies the baseline
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* [ ] At least one type of UQ number (CI/Quantile/Mean-Variance, etc.) is present
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* [ ] Every key numerical value has a [Source: ...] marker
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* [ ] "Maximal reduction vs. Minimal impact" has been answered
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* [ ] At least 2 issues in Structure 2 have been pointed out and fixed
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* [ ] 2.9 Figure List covers the Required Diagrams List (if exists) or Default Figure List (if not)
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* [ ] Every figure has a caption, axis units, data fields, and [Source: ...] marker" |