======Homework Submission Guidelines======

=====File Format & Naming=====

Submit your work as a single **Jupyter Notebook** file. Please use the following naming convention: ''StudentName_HW#.ipynb'' (e.g., ''王小明_HW1.ipynb'').

=====Content & Formatting=====
  * **Explanations:** Use **Markdown cells** for all text and prose.
  * **Mathematics:** Use **LaTeX** for mathematical expressions and formulas.

=====Reproducibility=====
The notebook must be fully reproducible. Before submission, please **"Restart & Run All"** to ensure the entire notebook executes from start to finish without errors.

=====Performance & Caching=====
If a specific code block requires significant computation time (**> 1 minute**), please implement a **caching mechanism**. The script should check for a local data file; if the file exists, the notebook should load the results rather than re-running the lengthy evaluation.

=====Performance & Caching=====
To facilitate efficient grading, the notebook should not take more than **1 minute** to execute. If your code requires lengthy computations:

  * Implement a **caching mechanism** (e.g., using ''pickle'' or ''joblib'').
  * The script should check for the existence of a local data file; if found, it should load the results instead of re-running the evaluation.