I need a finished 2026 Problem A mathematical modeling paper in Word format. Do the models and algorithms you recommended above have authoritative paper endorsements that can be listed in the references? We are writing a mathematical modeling competition paper. You must grasp the balance well, that is, the boundary between an excellent mathematical modeling paper and an excellent research paper. It cannot be a pure application of models, but of course it also cannot be written completely as a research paper. I will give you several excellent papers from previous years as references, such as A053, A127, A165, etc. You may also not restrict yourself to a topic or competition, and find excellent papers from various mathematical modeling competitions as references, but the format must conform to the 2026 requirements of the Higher Education Cup Mathematical Modeling Competition. Imitate the models, ideas, logic, writing structure, and layout of excellent papers. Do not format randomly. Be sure to imitate the layout style of excellent Higher Education Cup papers. Choose the model or models you think are most suitable, use models in parallel, or use some models for solving and some for validation, or gradually optimize the model while solving with a basic model. In short, after comparing several approaches, choose the most suitable one. Remember to repeatedly ask why it is done this way, and stop in time when you find you may be going off track. Try to draw beautiful figures, whether schematic diagrams of medicinal materials or visualizations of our results. You can imitate the color schemes of figures in top journals and make them more beautiful. After drawing each figure, be sure to provide a reasonable explanation afterward and conduct reasonable analysis of the results. Control the number of charts and figures to within 15. You may appropriately draw some mechanism explanation diagrams if objectively necessary. At the same time, the paper must conform to this year's Higher Education Cup mathematical modeling paper standards. The main text should not exceed 30 pages. Do not forget the code in the appendix. The appendix can also include some figures or results. Give me a complete solution paper for Problem A. Begin your operation. After completing the paper, compare it with previous papers and objectively evaluate your produced paper.