a$.$ Find an optimization problem and define the problem statement

b$.$ Ask ChatGPT to provide a dynamic programming algorithm to your described problem.

c$.$ Analyze the solution for correctness

d$.$ Define the solution based on the following $4$ steps for your dynamic programming algorithm, and fix any potential errors:

Characterize the structure of an optimal solution

Recursively define the value of an optimal solution

Compute the value of an optimal solution in a bottom$-$up fashion

Construct an optimal solution from computed information $($not always necessary$)$