What This Document Is
This document contains worked solutions for Homework Two of Oregon State University’s CS 325: Analysis of Algorithms course. It provides detailed responses to three algorithmic problems, covering dynamic programming techniques and subsequence analysis. It is intended for students enrolled in the course to review their own work and understand alternative approaches.
Why This Document Matters
This solution set is valuable for CS 325 students seeking to check their understanding of dynamic programming and algorithm design. It’s particularly useful after attempting the homework independently, as it reveals potential solution strategies and common pitfalls. The document is designed to be used *after* individual submission, as indicated by the course policy allowing group work on problem sets but requiring individual submissions.
Common Limitations or Challenges
This document provides completed solutions, but does not offer a tutorial on *how* to arrive at those solutions. It won’t replace the learning process of working through the problems yourself. It also assumes familiarity with the core concepts of dynamic programming and algorithmic analysis covered in the course. It is not a substitute for attending lectures or reading the course materials.
What This Document Provides
The full document includes:
* Detailed solutions for three problems: subset sum using dynamic programming, optimizing restaurant locations along a highway, and finding the longest palindromic subsequence.
* For each problem: a definition of the dynamic programming table, a recursive formula, a description of the table-filling process, pseudocode for the algorithm, and the algorithm’s running time analysis.
* Alternative approaches to problem 2, including a binary search optimization.
