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| '''美赛'''在本目录中特指 COMAP 主办的 MCM(Mathematical Contest in Modeling)与 ICM(Interdisciplinary Contest in Modeling)。这里按年份和题号连接官方原题与配套数据,更新至 '''2026 年'''。
| | 美赛包括 COMAP 主办的 MCM(数学建模竞赛)与 ICM(交叉学科建模竞赛)。按年份、题号阅读各道题的背景、条件和任务;原题及附件集中列在每篇文末。 |
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| [[数学建模竞赛|返回竞赛总目录]] · [[全国大学生数学建模竞赛|查看国赛]] | | [[数学建模竞赛|竞赛总目录]] · [[全国大学生数学建模竞赛|另一赛事目录]] |
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| == 2017—2026:题目与附件 == | | == 2026 年 == |
| 这十年的常规赛每年列出 A—F 六题,共 60 题。2023 年另有春季赛 Y、Z 两题,在该年度页中分开展示。中文题名供查找,英文原名用于和官方文件对照。
| | * [[2026年美赛A题:智能手机电池耗电建模]] |
| | * [[2026年美赛B题:利用太空电梯系统建设月球殖民地]] |
| | * [[2026年美赛C题:与明星共舞的数据分析]] |
| | * [[2026年美赛D题:体育运营与成功管理]] |
| | * [[2026年美赛E题:被动式遮阳]] |
| | * [[2026年美赛F题:用不用生成式AI,以及如何使用?]] |
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| <div class="math-table-scroll" role="region" aria-label="2017至2026年美赛目录" tabindex="0">
| | == 其他年度资料 == |
| {| class="wikitable"
| | * [[2025年美赛赛题]] |
| ! 年份 !! MCM 题目 !! ICM 题目
| | * [[2024年美赛赛题]] |
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| | * [[2023年美赛赛题]] |
| | [[2026年美赛赛题|2026 年题目与数据]] || A 智能手机电池耗电建模;B 利用太空电梯系统建设月球殖民地;C 与明星共舞的数据分析 || D 体育运营与成功管理;E 被动式遮阳;F 用不用生成式AI,以及如何使用?
| | * [[2022年美赛赛题]] |
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| | * [[2021年美赛赛题]] |
| | [[2025年美赛赛题|2025 年题目与数据]] || A 时间的考验:楼梯的持续磨损;B 可持续旅游管理;C 奥运会奖牌榜模型 || D 通向更好城市的路线图;E 为农业腾出空间;F 网络安全够强吗?
| | * [[2020年美赛赛题]] |
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| | * [[2019年美赛赛题]] |
| | [[2024年美赛赛题|2024 年题目与数据]] || A 资源可用性与性别比例;B 搜寻潜水器;C 网球中的势头 || D 五大湖水资源问题;E 财产保险的可持续性;F 减少非法野生动物贸易
| | * [[2018年美赛赛题]] |
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| | * [[2017年美赛赛题]] |
| | [[2023年美赛赛题|2023 年题目与数据]] || A 干旱中的植物群落;B 重新构想马赛马拉;C 预测Wordle结果 || D 确定联合国可持续发展目标的优先顺序;E 光污染;F 绿色GDP
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| | [[2022年美赛赛题|2022 年题目与数据]] || A 自行车手的功率曲线;B 水资源与水电共享;C 交易策略 || D 数据太多无从下手?让分析来帮忙!;E 森林固碳;F 人人为一,一片太空属于所有人
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| | [[2021年美赛赛题|2021 年题目与数据]] || A 真菌;B 扑救山火;C 证实大黄蜂的传闻 || D 音乐的影响力;E 重新优化粮食系统;F 高等教育的脉搏与体温
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| | [[2020年美赛赛题|2020 年题目与数据]] || A 向北迁移;B 最持久的沙堡;C 数据的财富 || D 团队协作策略;E 被塑料淹没;F 我曾称之为家的地方……
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| | [[2019年美赛赛题|2019 年题目与数据]] || A 生态系统博弈;B 派出无人机:建立空中灾害救援响应系统;C 阿片类药物危机 || D 离开卢浮宫的时刻;E 环境退化的代价是什么?;F 普遍、去中心化的数字货币:可能吗?
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| | [[2018年美赛赛题|2018 年题目与数据]] || A 多跳高频无线电传播;B 有多少种语言?;C 能源生产 || D 没油了,改用电:电动汽车发展;E 气候变化如何影响区域不稳定性?;F 隐私的代价
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| | [[2017年美赛赛题|2017 年题目与数据]] || A 赞比西河管理;B 收费站后的车流合并;C 协作与导航 || D 优化机场安检口旅客通行量;E 需要可持续城市!;F 移民火星:2100年城市社会的理想劳动力
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| |}
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| </div>
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| == 1985—2016:官方历史档案 == | | == 来源与历史档案 == |
| 早年的题号、竞赛归属和题数与近年并不完全相同,下表沿用 COMAP 官方矩阵的 MCM、ICM 两列,不把历届题目统一改成 A—F。一个链接有时包含同年的多道题。
| | * [https://www.contest.comap.com/undergraduate/contests/mcm/previous-contests.php COMAP 历年题目] |
| | * [https://www.contest.comap.com/undergraduate/contests/matrix/index.html COMAP 历史题目矩阵] |
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| === 2006—2016 ===
| | 本专题暂不收录解答。 |
| <div class="math-table-scroll" role="region" aria-label="2006至2016年美赛官方档案" tabindex="0">
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| {| class="wikitable"
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| ! 年份 !! MCM 官方原题 !! ICM 官方原题
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| | 2016 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_MCM_Problem_A.pdf Problem A: Hot Bath]<br>[https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_MCM_Problem_B.pdf Problem B: Space Junk]<br>[https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_MCM_Problem_C.pdf Problem C: The Goodgrant Challenge] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_ICM_Problem_D.pdf Problem D: Measuring the Evolution and Influence in Society’s Information Networks]<br>[https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_ICM_Problem_E.pdf Problem E: Are we heading towards a thirsty planet?]<br>[https://www.contest.comap.com/undergraduate/contests/mcm/contests/2016/problems/2016_ICM_Problem_F.pdf Problem F: Modeling Refugee Immigration Policies]
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| | 2015 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2015/problems/ Problem A: Eradicating Ebola Problem B: Searching for a lost plane] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2015/problems/2015_ICM_Problem_C.pdf Problem C: Managing Human Capital in Organizations]<br>[https://www.contest.comap.com/undergraduate/contests/mcm/contests/2015/problems/2015_ICM_Problem_D.pdf Problem D: Is it sustainable?]
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| | 2014 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2014/problems/ Problem A: The Keep-Right-Except-To-Pass Rule Problem B: College Coaching Legends] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2014/problems/ICM_2014.pdf Using Networks to Measure Influence and Impact]
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| | 2013 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2013/problems/ Problem A: The Ultimate Brownie Pan Problem B: Water, Water, Everywhere] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2013/problems/2013_ICM_Problem.pdf Network Modeling of Earth's Health]
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| | 2012 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2012/problems/ Problem A: The Leaves of a Tree Problem B: Camping along the Big Long River] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2012/problems/2012_ICM.zip Modeling for Crime Busting]
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| | 2011 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2011/problems/ Problem A: Snowboard Course Problem B: Repeater Coordination] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2011/problems/ICM_2011.pdf How environmentally and economically sound are electric vehicles? Is their widespread use feasible and practical?]
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| | 2010 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2010/problems/ Problem A: The Sweet Spot Problem B: Criminology] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2010/problems/ICM_2010.pdf The Great Pacific Ocean Garbage Patch]
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| | 2009 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2009/problems/ Problem A: Designing a Traffic Circle Problem B: Energy and the Cell Phone] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2009/problems/ICM_2009.pdf Creating Food Systems: Re-Balancing Human-Influenced Ecosystems]
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| | 2008 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2008/problems/ Problem A: Take a Bath Problem B: Creating Sudoku Puzzles] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2008/problems/2008-ICM-Problem.pdf Finding the Good in Health Care Systems]
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| | 2007 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2007/problems/ Problem A: Gerrymandering Problem B: The Airplane Seating Problem] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2007/problems/ICM2007.pdf Organ Transplant: The Kidney Exchange Problem]
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| | 2006 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2006/problems/ Problem A: Positioning and Moving Sprinkler Systems for Irrigation Problem B: Wheel Chair Access at Airports] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2006/problems/2006%20ICM.zip Trade-offs in the fight against HIV/AIDS]
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| |}
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| </div>
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| === 1996—2005 ===
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| <div class="math-table-scroll" role="region" aria-label="1996至2005年美赛官方档案" tabindex="0">
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| {| class="wikitable"
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| ! 年份 !! MCM 官方原题 !! ICM 官方原题
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| | 2005 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2005/problems/ Problem A: Flood Planning Problem B: Tollbooths] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2005/problems/ Nonrenewable Resources]
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| | 2004 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2004/problems/ Problem A: Are Fingerprints Unique? Problem B: A Faster QuickPass System] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2004/problems/icm%202004.pdf To Be Secure or Not to Be?]
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| | 2003 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2003/problems/ Problem A: The Stunt Person Problem B: Gamma Knife Treatment Planning] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2003/problems/Problem%20C03.pdf Aviation Baggage Screening Strategies: To Screen or Not to Screen, that is the Question]
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| | 2002 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2002/problems/mcm.php Problem A: Wind and Waterspray Problem B: Airline Overbooking] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2002/problems/icm.php If we SCRUB our land too much, we may lose the LIZARDs]
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| | 2001 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2001/problems/mcm.php Problem A: The Bicycle Wheel Problem Problem B: The Hurricane Evacuation Problem] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2001/problems/icm2001.pdf The Zebra Mussel Problem]
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| | 2000 || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2000/problems/mcm.php Problem A: Air Traffic Control Problem B: Radio Channel Assignments] || [https://www.contest.comap.com/undergraduate/contests/mcm/contests/2000/problems/icm.php Elephants: When is Enough, Enough?]
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| | 1999 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1999mcmProblems.htm Problem A: Deep Impact Problem B: Unlawful Assembly] || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1999icmProblem.htm Ground Pollution]
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| | 1998 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1998mcmProblems.htm Problem A: The Scanner Problem Problem B: The Grade Inflation Problem] || 该年官方矩阵未列 ICM
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| | 1997 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1997mcmProblems.htm Problem A: The Velociraptor Problem Problem B: Mix Well For Fruitful Discussions] || 该年官方矩阵未列 ICM
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| | 1996 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1996mcmProblems.htm Problem A: The Submarine Detection Problem Problem B: The Contest Judging Problem] || 该年官方矩阵未列 ICM
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| |}
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| </div>
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| === 1985—1995 ===
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| <div class="math-table-scroll" role="region" aria-label="1985至1995年美赛官方档案" tabindex="0">
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| {| class="wikitable"
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| ! 年份 !! MCM 官方原题 !! ICM 官方原题
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| | 1995 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1995mcmProblems.htm Problem A: The Single Helix Problem B: Aluacha Balaclava College] || 该年官方矩阵未列 ICM
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| | 1994 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1994/1994A.pdf Problem A: The Communications Network Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1994/1994B.pdf Problem B: The Concrete Slab Problem] || 该年官方矩阵未列 ICM
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| | 1993 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1993/1993A.pdf Problem A: The Coal-Tipple Operations Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1993/1993B.pdf Problem B: The Optimal Composting Problem] || 该年官方矩阵未列 ICM
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| | 1992 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1992/1992A.pdf Problem A: The Emergency Power-Restoration Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1992/1992B.pdf Problem B: The Air-Traffic-Control Radar Problem] || 该年官方矩阵未列 ICM
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| | 1991 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1991/1991A.pdf Problem A: The Steiner Tree Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1991/1991B.pdf Problem B: The Water Tank Problem] || 该年官方矩阵未列 ICM
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| | 1990 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1990/1990A.pdf Problem A: The Brain-Drug Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1990/1990B.pdf Problem B: The Snowplow Problem] || 该年官方矩阵未列 ICM
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| | 1989 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1989/1989A.pdf Problem A: The Midge Classification Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1989/1989B.pdf Problem B: The Aircraft Queueing Problem] || 该年官方矩阵未列 ICM
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| | 1988 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1988/1988A.pdf Problem A: The Drug Runner Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1988/1988B.pdf Problem B: The Railroad Flatcar Problem] || 该年官方矩阵未列 ICM
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| | 1987 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1987/1987A.pdf Problem A: The Salt Storage Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1987/1987B.pdf Problem B: The Parking Lot Problem] || 该年官方矩阵未列 ICM
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| | 1986 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1986/1986A.pdf Problem A: The Hydrographic Data Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1986/1986B.pdf Problem B: The Emergency-Facilities Location Problem] || 该年官方矩阵未列 ICM
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| | 1985 || [https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1985/1985A.pdf Problem A: The Strategic Reserve Problem]<br>[https://www.contest.comap.com/undergraduate/contests/matrix/PDF/1985/1985B.pdf Problem B: The Animal Population Problem] || 该年官方矩阵未列 ICM
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| |}
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| </div>
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| == 年份和题号核对 ==
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| 2020 年分两场进行,场次信息见[[2020年美赛赛题]];2023 年春季赛见[[2023年美赛赛题#2023 年春季赛|2023 年目录]]。历史中文汇编中有题号排列与当前官方矩阵不一致的情况,例如 1985 年官方矩阵将战略储备列为 A、动物群体列为 B。查阅译本时可用年份、英文题名和官方文件一起定位。
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| == 来源 ==
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| * [https://www.contest.comap.com/undergraduate/contests/mcm/previous-contests.php COMAP 历年题目与结果]
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| * [https://www.contest.comap.com/undergraduate/contests/matrix/index.html COMAP 历届题目矩阵(本页取 MCM、ICM 两列)]
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| 本页登记赛题与数据入口,暂不收录解答。核对日期:2026年9月22日。
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| [[分类:数学建模竞赛]] | | [[分类:数学建模竞赛]] |