Summary: Looking for a senior project?
Consider turning your first programming assignment (optimal binary search trees) into a manipulative
tool to help other students learn the concepts.
We solved the Optimal Binary search tree three ways
(See http://www.cs.usu.edu/~allanv/cs5050/cs5050.html Problem 1)
(2) Using exhaustive recursion
(3) Using Memoizing
A logical extension is to solve it via dynamic programming.
Things you could add:
1. Interact with the user so they can pick problem size or frequency values
2. Allow the user to pick a greedy strategy
a. Select largest frequency
b. Select node nearest the middle of the keys (to get a balanced tree)
c. Other strategies?
3. Show how you use dynamic programming to not only find the cost of the optimal binary search tree,
but build it.