📅 2023-07-27 — Session: Developed Dynamic Programming Solutions for Rod and Box Problems
🕒 16:10–16:55
🏷️ Labels: Dynamic Programming, Algorithm, Rod Cutting, Box Stacking, Recursion
📂 Project: Dev
⭐ Priority: MEDIUM
Session Goal
The session aimed to develop and analyze dynamic programming solutions for two classic problems: the rod cutting problem and the box stacking problem.
Key Activities
- Rod Cutting Problem:
- Explored both recursive and bottom-up dynamic programming approaches to solve the rod cutting problem.
- Detailed the recursive formulation for minimizing cutting costs and compared it with a bottom-up strategy, analyzing time and space complexities.
- Translated C++ code snippets into Python to illustrate algorithm implementation differences.
- Box Stacking Problem:
- Investigated backtracking and dynamic programming solutions for the box stacking problem.
- Defined recursive functions to maximize the number of stackable boxes based on weight constraints, with implementations in LaTeX.
- Discussed inefficiencies of backtracking and improvements using dynamic programming.
Achievements
- Successfully formulated and compared dynamic programming strategies for both problems, highlighting the advantages of bottom-up approaches.
- Completed code translations and complexity analysis, providing a clear understanding of algorithmic efficiency.
Pending Tasks
- Further optimization of the box stacking problem using advanced dynamic programming techniques.
- Explore additional test cases and scenarios for both problems to ensure robustness of solutions.