1. 确保学生能够访问计算机，使他们能够进行文字处理、使用电子表格以及动态建模图形和几何关系。

1. The contest problems become available for teams to view at precisely 5:00 p.m. EST on Thursday February 1, 2024 on the contest web site:/undergraduate/contests/mcmNo password is needed to view the problems. Simply go to the contest web site at or after 5 p.m. EST on Thursday, February 1, 2024 and you will see a link to view the problems.

2. The contest problems will also become available for teams to view precisely at 4:50PM EST on Thursday February 1, 2024 on the following mirror sites:https://www.comapmath.com/MCMICM/index.htmlhttps://www.comap-math.com/mcm/index.htmlhttps://www.mathportals.com/mcm/index.htmlhttps://www.immchallenge.org/mcm/index.htmlIf you cannot access any of the sites, there may be a problem with your local Internet connection. Contact your local Internet service provider to resolve the issue.

3. Each registered team may choose any one of the six problem choices and should submit a solution to only one problem. • MCM problems are Problem A, Problem B, Problem C. • ICM problems are Problem D, Problem E, Problem F.

4. Teams may use any inanimate source of data, materials, computers, software, references, websites, books, etc. Teams should reference all sources used using footnotes, endnotes, or in-line documentation, and include an associated reference list citing all sources.

5. Teams may not seek help from any person outside of team members as delineated in the Contest Rules (specifically Rule #6).

6. Teams should keep in mind the following guidelines when solving the problem and developing their solution. a. Summary Sheet: The summary is an essential part of your MCM/ICM paper and should appear as the first page of your solution report. The judges place considerable weight on the summary, and winning papers are often distinguished from other papers based on the quality of the summary. Click here to download the Microsoft Word Summary Sheet or Click here to download the LaTeX Summary Sheet. • To write a good summary, imagine that a reader will choose whether to read the body of the paper based on your summary: Your concise presentation in the summary should inspire a reader to learn about the details of your work. • You should write the summary last, as it should clearly describe your approach to the problem and, most prominently, your most important conclusions. Ensure you plan time after solving your problem to write a comprehensive and articulate summary. • Summaries that are mere restatements of the contest problem, or are a cut-and-paste boilerplate from the Introduction are generally considered to be weak. b. Overall: The team's solution should be articulate, concise, and organized in order to allow the reader to easily follow the solution process and conclusions. Key statements should present major ideas and results. • A Table of Contents assists the reader in previewing the organization of your report. • Present a clarification or restatement of the problem as appropriate. • Present a clear exposition of all variables and hypotheses. • State and justify reasonable assumptions that bear on the problem. • Present an analysis of the problem, motivating or justifying the model being used. • Summarize derivations, computations, or illustrative examples in the main body of the solution, and leave lengthy derivations and/or calculations and data in appropriate appendices. • Include a design of the model. Discuss how the model could be tested, to include error analysis, sensitivity, and/or stability. • Discuss any apparent strengths or weaknesses to your model or approach. • Provide a conclusion and report results explicitly. • Document resources and references.

7. New! Follow COMAPMath on Twitter or COMAPCHINAOFFICIAL on Weibo for the most up to date information before, during, and after the contest.

1. 比赛问题将于美国东部时间2024年2月1日星期四下午5：00在比赛网站上查看：/undergraduate/contests/mcm无需密码即可查看问题。只需在美国东部时间2024年2月1日星期四下午5点或之后访问比赛网站，您就会看到一个查看问题的链接。

2. 比赛问题也将在美国东部时间2024年2月1日星期四下午4：50在以下镜像网站上精确查看：https://www.comapmath.com/MCMICM/index.htmlhttps://www.comap-math.com/mcm/index.htmlhttps://www.mathportals.com/mcm/index.htmlhttps://www.immchallenge.org/mcm/index.html如果您无法访问任何站点，则可能是您的本地 Internet 连接有问题。请与当地的 Internet 服务提供商联系以解决此问题。

3. 每个注册团队可以从六个问题选项中选择任何一个，并且只能提交一个问题的解决方案。MCM 问题是问题 A、问题 B、问题 C。 • ICM 问题是问题 D、问题 E、问题 F。

4. 团队可以使用任何无生命的数据、材料、计算机、软件、参考资料、网站、书籍等来源。团队应使用脚注、尾注或内联文档引用所有使用的来源，并包括引用所有来源的相关参考列表。

5. 团队不得向比赛规则（特别是规则 #6）中规定的团队成员以外的任何人寻求帮助。

6. 团队在解决问题和开发解决方案时应牢记以下准则。 a. 摘要表：摘要是 MCM/ICM 论文的重要组成部分，应作为解决方案报告的第一页显示。评委们对摘要给予了相当大的重视，获奖论文通常根据摘要的质量与其他论文区分开来。单击此处下载 Microsoft Word 摘要表或单击此处下载 LaTeX 摘要表。要写一个好的摘要，想象一下读者会根据你的摘要选择是否阅读论文的正文：你在摘要中的简明陈述应该激发读者了解你的工作细节。你应该最后写总结，因为它应该清楚地描述你解决问题的方法，最突出的是，你最重要的结论。确保在解决问题后计划时间，写一份全面而清晰的摘要。仅仅是对竞赛问题的重述，或者是引言中的剪切和粘贴样板的摘要通常被认为是薄弱的。 b. 总体：团队的解决方案应该清晰、简洁和有条理，以便读者能够轻松理解解决方案的过程和结论。关键陈述应提出主要思想和结果。目录可帮助读者预览报告的组织。酌情澄清或重述问题。对所有变量和假设进行清晰的阐述。陈述与问题有关的合理假设并证明其合理性。对问题进行分析，激励或证明所使用的模型的合理性。在解决方案的主体中总结推导、计算或说明性示例，并将冗长的推导和/或计算和数据留在适当的附录中。包括模型的设计。讨论如何测试模型，包括误差分析、灵敏度和/或稳定性。讨论您的模型或方法的任何明显优势或劣势。明确地提供结论和报告结果。记录资源和参考资料。

7. 新增功能！在Twitter上关注COMAPMath，或在微博上关注COMAPCHINAOFFICIAL，了解赛前、赛中和赛后的最新信息。

1. Clearly indicate the use of LLMs or other AI tools in their report, including which model was used and for what purpose. Please use inline citations and the reference section. Also append the Report on Use of AI (described below) after your 25-page solution.

2. Verify the accuracy, validity, and appropriateness of the content and any citations generated by language models and correct any errors or inconsistencies.

3. Provide citation and references, following guidance provided here. Double-check citations to ensure they are accurate and are properly referenced.

4. Be conscious of the potential for plagiarism since LLMs may reproduce substantial text from other sources. Check the original sources to be sure you are not plagiarizing someone else's work.

1. 在报告中明确指出 LLM 或其他 AI 工具的使用情况，包括是哪种模型 被使用以及用于什么目的。请使用内联引文和参考文献部分。 此外，在 25 页的解决方案之后附加 AI 使用情况报告（如下所述）。

2. 验证内容和任何引用的准确性、有效性和适当性 由语言模型生成，并纠正任何错误或不一致。

3. 按照此处提供的指导提供引文和参考文献。仔细检查 引文，以确保它们准确无误并被正确引用。

4. 意识到抄袭的可能性，因为 LLM 可能会复制大量文本 从其他来源。检查原始来源以确保您没有抄袭 别人的工作。

1. MCM/ICM solutions are judged as varying degrees of successfully completing the contest (from Successful Participant up to Outstanding). There is no passing or cut-off score, and therefore, partial solutions are acceptable and teams are encouraged to complete as much of the problem as they are able to do. MCM/ICM judges are primarily interested in the team's thought processes, analysis of the problem, modeling approaches, and mathematical methods.

2. Teams must submit their entire solution in one Adobe PDF electronic file, consisting of written text, figures, charts, and supporting materials. Papers must be typed in English, with a readable font of at least 12-point type. Do not send additional non solution files such as data or computer programs.

3. Each page of the solution must contain the team control number and the page number at the top of the page. Use a page header on each page - for example: Team # 2400000, Page 6 of 25 .

4. Your solution report should start with the Summary Sheet followed by the team's solution. Ensure your solution meets the 25 page limit requirement. A Table of Contents is encouraged and does count toward the page limit. Reference list (or Bibliography), notes pages, and any appendices now count toward the page limit and should be included after the solution pages.

5. Clearly indicate the use of LLMs or other AI tools in your report, including which model was used and for what purpose. Please use inline citations and the reference section. Also append the Report on Use of AI (described here) after your 25-page solution. This new section has no page limit and will not be counted as part of the 25-page solution.

6. Names of the students, advisor, and/or institution must not appear on any page of the solution. The solution file must not contain any identifying information other than the team Control Number.

7. STOP making any changes to the solution at 8:00pm EST on Monday, February 5, 2024 .

1. MCM/ICM解决方案被评判为成功完成比赛的不同程度（从成功参赛者到优秀）。没有及格分数或截止分数，因此，部分解决方案是可以接受的，并鼓励团队尽可能多地完成问题。 MCM/ICM 评委主要对团队的思维过程、问题分析、建模方法和数学方法感兴趣。

2. 团队必须在一个 Adobe PDF 电子文件中提交其整个解决方案，该文件由书面文本、图形、图表和支持材料组成。论文必须用英文打字，字体至少为 12 磅。不要发送其他非解决方案文件，例如数据或计算机程序。

3. 解决方案的每一页都必须包含团队控件编号和页面顶部的页码。在每个页面上使用页眉 - 例如：Team # 2400000， Page 6 of 25 。

4. 解决方案报告应以摘要表开头，后跟团队的解决方案。确保您的解决方案满足 25 页的限制要求。鼓励使用目录，并且确实计入页数限制。参考列表（或参考书目）、注释页和任何附录现在都计入页数限制，应包含在解决方案页之后。

5. 在报告中明确指出 LLM 或其他 AI 工具的使用情况，包括使用了哪个模型以及用于什么目的。请使用内联引文和参考文献部分。此外，在 25 页的解决方案之后附加 AI 使用报告（此处所述）。此新部分没有页数限制，不会计入 25 页解决方案的一部分。

6. 学生、顾问和/或机构的名称不得出现在解决方案的任何页面上。解决方案文件不得包含除团队控制编号以外的任何标识信息。

7. 在 2024 年 2 月 5 日星期一美国东部时间晚上 8：00 停止对解决方案进行任何更改。

1. After the contest begins at 5 p.m. EST on Thursday February 1, 2024, and while the teams are preparing their solutions, the advisor should login to the contest web site at /undergraduate/contests/mcm . Click on Advisor Login , and then enter your email address and password.

2. For each control number, if you have not done so already, enter the team member names and confirm that each name is spelled correctly. The order of the student names has no bearing or importance on participation. In the eyes of COMAP and the contest directors,all team members are equal. This determines how the names will appear on the contest certificates. COMAP will not make any changes or reprint certificates for any reason.

3. Specify the problem that each team has chosen to solve.

4. Click here to download the Microsoft Word Summary Sheet or Click here to download the LaTeX Summary Sheet. (This should be used as the first page of each team's electronic email submission.)

1. 比赛于美国东部时间2024年2月1日星期四下午5点开始后，当团队准备解决方案时，顾问应登录比赛网站/undergraduate/contests/mcm。单击“顾问登录”，然后输入您的电子邮件地址和密码。

2. 对于每个控制编号，如果尚未输入，请输入团队成员姓名，并确认每个名称的拼写是否正确。学生姓名的顺序与参与无关。在COMAP和大赛总监的眼中，所有团队成员都是平等的。这决定了名称在竞赛证书上的显示方式。COMAP不会以任何理由进行任何更改或重新打印证书。

3. 指定每个团队选择解决的问题。

4. 单击此处下载 Microsoft Word 摘要表或单击此处下载 LaTeX 摘要表。 （这应该用作每个团队电子邮件提交的第一页。

1. Teams must end all work on their solution by 8:00 p.m. EST on Monday February 5, 2024 and send an Adobe PDF electronic file of Solution Paper by email to COMAP by 9:00 p.m. EST on Monday, February 5, 2024. Note: Do not wait until the last minute. Send your solution as soon as it is completed and only send one copy.

2. No further modifications, enhancements, additions, or improvements may be made to the team's solution paper after 8 p.m. EST on February 5, 2024. Any changes to the solution will constitute a violation of the contest rules and may result in disqualification.

3. Each team is required to submit an Adobe PDF electronic copy of its solution by email to [email protected] . Any team member or the advisor may submit this email.a. Your email with your electronic PDF solution file MUST be received at COMAP on or before the email submission deadline of 9:00 p.m. EST on February 5, 2024 .b. In the subject line of your email write your team's control number. For example, Subject: 0000000 . Limit one team solution file per email.c. Use your team's control number as the name of your file attachment. For example: 0000000.pdf. Note: The attachment must be less than 20MB. Do not use a cloud service such as Google Docs. Your email must contain a single Adobe PDF attachment.d. Page 1 of the team's PDF electronic solution should be the team summary, followed by the solution and any references and appendices.e. Do not include or send programs, software, databases, and/or other files with your solution email, as they will not be used in the judging process.f. The names of the students, advisor, or institution should NOT appear on any page of the electronic solution.g. COMAP will accept only an Adobe PDF of your solution. Limit one solution per email.

4. Failure by a team to submit a solution via email by 9:00 p.m. EST on February 5, 2024 in accordance with the above instructions may result in disqualification or reduction of award level.

1. 团队必须在 2024 年 2 月 5 日星期一美国东部时间晚上 8：00 之前结束其解决方案的所有工作，并在 2024 年 2 月 5 日星期一美国东部时间晚上 9：00 之前通过电子邮件将解决方案论文的 Adobe PDF 电子文件发送给 COMAP 。注意：不要等到最后一刻。解决方案完成后立即发送，并且仅发送一份副本。

2. 美国东部时间 2024 年 2 月 5 日晚上 8 点之后，不得对团队的解决方案文件进行进一步的修改、增强、添加或改进。对解决方案的任何更改都将构成违反比赛规则，并可能导致取消资格。

3. 每个团队都需要通过电子邮件向 [email protected] 提交其解决方案的 Adobe PDF 电子副本。任何团队成员或顾问都可以提交此电子邮件。 a.包含电子 PDF 解决方案文件的电子邮件必须在 2024 年 2 月 5 日美国东部时间晚上 9：00 的电子邮件提交截止日期或之前在 COMAP 收到。 b.在电子邮件的主题行中，写下团队的控制编号。例如，Subject： 0000000 。每封电子邮件限制一个团队解决方案文件。 c.使用团队的控制号作为文件附件的名称。例如： 0000000.pdf。注意：附件必须小于 20MB。请勿使用 Google Docs 等云服务。您的电子邮件必须包含单个 Adobe PDF 附件。 d.团队的 PDF 电子解决方案的第 1 页应该是团队摘要，然后是解决方案以及任何参考文献和附录。 e.请勿在解决方案电子邮件中包含或发送程序、软件、数据库和/或其他文件，因为它们不会在评审过程中使用。 f. 学生、顾问或机构的名称不应出现在电子解决方案的任何页面上。 g. COMAP 将只接受您解决方案的 Adobe PDF。每封电子邮件限制一个解决方案。

4. 如果团队未能在美国东部时间 2024 年 2 月 5 日晚上 9：00 之前按照上述说明通过电子邮件提交解决方案，可能会导致取消资格或降低奖励级别。

1. Advisors should use the Advisor Login link one to two days after the contest has closed to verify COMAP received your team's electronic solution. In most cases, COMAP will have solution status of all papers posted 24-48 hours after the contest window ends.

2. Visit the contest web site regularly and follow COMAP on @COMAPMath on Twitter or COMAPCHINAOFFICIAL on Weibo for updates. COMAP will post the contest results on the web site as soon as they are available. It takes several weeks for the judges to evaluate the solutions and for COMAP to process the results. Please do not call or email COMAP regarding contest results.

1. 顾问应在比赛结束后一到两天使用顾问登录链接，以验证 COMAP 是否收到了您团队的电子解决方案。在大多数情况下，COMAP 将在比赛窗口结束后 24-48 小时发布所有论文的解决方案状态。

2. 定期访问比赛网站，并在Twitter上关注@COMAPMath COMAP或在微博上关注COMAPCHINAOFFICIAL以获取最新信息。COMAP将在比赛结果公布后立即在网站上公布。评委们需要数周时间来评估解决方案，而COMAP则需要处理结果。请不要就比赛结果致电或发送电子邮件给COMAP。