Cumcm Math Modeling

CUMCM Math Modeling

Answer in Chinese by default. Treat the final contest paper as the main deliverable for solved or paper-facing work. Planning-only work should still produce artifacts that can later be written into paper/main.tex, but it does not have to edit the paper immediately.

Always Read First

• Short beginner request intent map: prompts/intent-map.md
• Core rules: references/core-rules.md

Workflow

For full problems, follow the staged workflow in references/workflow.md and the gate checks in references/stage-gates.md.

For each solved subquestion:

1. Parse the task and data dependencies.
2. Write modeling/qx_modeling_idea.md using references/modeling-derivation-standard.md; it must include a beginner-readable derivation from problem wording to variables, mechanisms, equations/criteria, constraints, code modeling process, algorithm, validation, and paper wording.
3. Solve with code when needed.
4. Produce tables, GPT-image model flowchart, result figures, and validation.
5. Reverse-check code against the modeling idea.
6. Record headline value sources in saved tables, figures, and validation notes.
7. Update paper/main.tex.

Task Routing

Read only the relevant file(s):

• Short or vague beginner request: prompts/intent-map.md, then route by the expanded intent below. Use prompts/auto-complete.md only as the compatibility navigation entry if needed
• Solve one subquestion or full problem: prompts/solve.md
• Candidate models, direct derivation, deeper model, or model optimization: prompts/modeling.md
• Abstract, paper writing, figure/table discipline, or code-to-paper writing: prompts/writing.md
• Baseline, validation, sensitivity, or reliability checks: prompts/validation.md
• Judge-style review, award readiness, or emergency mode: prompts/review.md
• Full problem: references/workflow.md, references/problem-routing.md
• Single subquestion: references/task-modes.md, references/problem-routing.md
• Before writing any modeling/qx_modeling_idea.md: references/modeling-derivation-standard.md
• Data audit: references/data-audit.md, then use scripts/data_profile.py
• Problem parsing: references/problem-parsing.md, then use scripts/problem_parser.py
• Task decomposition: use scripts/build_task_plan.py
• Before finalizing any model route or paper-facing claim: references/critical-constraint-audit.md
• Model selection: references/method-cards.json, then references/method-library.md if needed
• Mathematical depth: references/advanced-math-modeling.md when the problem has physical mechanisms, networks, uncertainty, causal questions, PDE/ODE dynamics, stochastic processes, or when the user asks for stronger mathematical modeling
• First-prize gate, rubric, and benchmark: references/first-prize-workflow.md, references/first-prize-rubric.md, references/official-benchmark.md
• CUMCM A problem: references/cumcm-a-problem-patterns.md
• Code to paper: references/code-to-paper.md, references/result-tracking.md
• Paper writing: references/paper-writing.md, references/paper-assembly.md
• Abstract: agents/abstract_writer.md
• Review: references/final-review.md, references/final-checklist.md
• Maintenance: references/maintenance.md

Role cards live in agents/. Use them when entering that stage: problem parser, coordinator, modeler, coder, writer, assembler, abstract writer, and reviewer.

Non-Negotiables

• Create or update paper/main.tex for solved subquestions, full-problem solving, paper writing/revision, code/result-to-paper work, and any validation or review fix that changes paper-facing claims.
• Planning-only tasks such as problem parsing, route comparison, candidate model brainstorming, or pre-solve derivation may stop at problem/, modeling/, or results/, but must state what would later enter the paper.
• Never split the contest-paper deliverable into paper/sections/*.tex.
• Standard output folders are problem/, data/, modeling/, src/, tables/, figures/, results/, and paper/.
• Use data/, not date/, for raw, cleaned, and processed data.
• Flowcharts and technical roadmaps are GPT-image paper figures.
• Paper figures default to the bundled Chinese font assets under assets/fonts/.
• Do not write final numbers without a saved, traceable source.
• Final paper-facing numeric display must use at most two decimal places in paper/main.tex, final tables embedded in the paper, and output figures intended for the paper. Intermediate result files, source tables, logs, and validation records may keep higher precision for traceability, but the final prose, captions, tables, and visible figure labels must not show more than two decimal places.
• Do not let modeling/qx_modeling_idea.md collapse into a formula list; every solved question needs a section such as “逐步建模推导” explaining how the model is built from the problem facts, in prose a beginner can follow.
• Do not let code exist only in src/. Every solved question needs a detailed “代码建模流程” section in modeling/qx_modeling_idea.md that maps data, variables, formulas, constraints, loops/solvers, intermediate checks, outputs, and figures to the actual implementation.
• Do not stop at generic contest methods when a mechanism-based mathematical model is justified. For physics, supply-chain, PDE/ODE, stochastic, network, control, or causal tasks, consider whether a deeper mathematical model can be used as the main model, correction model, or validation model.
• Do not force advanced mathematics for decoration. Every advanced model must have variables, assumptions, equations, parameter sources, numerical solution steps, and validation or boundary checks that can be written into the paper.
• Do not report optimality without solver status and feasibility checks.
• Do not claim high accuracy without metrics or a baseline.
• Do not leave placeholders in final deliverables unless the user asked for a draft.
• Treat terse requests such as “帮我求解第一问”, “做 Q1”, “帮我写论文”, and “检查一下” as complete intent shortcuts using prompts/intent-map.md. Do not ask the user to write long prompts and do not lower quality because the prompt is short.
• Every CUMCM run defaults to first-prize-oriented standards: perform official benchmark comparison and critical gate checks for core mechanism, validation, traceability, and paper readiness. Do not call the work complete, first-prize-level, or award-ready if any critical gate is missing.