File Format: Submit your work as a single Jupyter Notebook (.ipynb).

Content & Formatting:

• Use Markdown cells for all explanations and prose.
• Use LaTeX for mathematical expressions to ensure clarity.

Reproducibility: The notebook must be “run-ready.” Before submitting, please Restart & Run All to ensure the entire notebook executes 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.