Algorithm Analysis and Optimization

Algorithm optimization and analysis along with practical implementations

Clean and Run

make clean; make; ./out/main

Topic/Concept

Algorithm optimization and their practical implementations.

Angle

I will investigate the commonly used methods for optimizing algorithms and how these methods are classified. Subsequently, I will delve into how mathematics is used to analyze algorithms and their performance.

Problem Statement

• What is an algorithm?
• How do you analyze an algorithm?
• How can algorithms be analyzed to develop optimized algorithms for practical implementations to save time and computational resources?
• How do you typically calculate and compare time and space complexities in real-world scenarios for algorithms?
• What practical software examples demonstrate that algorithm optimization has benefited the project?

Subjects

For this project, I intend to use Programming B as my study subject and Mathematics A as my A-level subject. The reason for using programming is to explain code and demonstrate [...]

Methodological Considerations for Empirical Data Collection

To gather knowledge, I will use the method of information searching and books. For empirical data and theory, I will read 'Introduction to Algorithms' (third edition), which provides insights into programming and mathematics [...]

Sources

Currently, my only source is 'Introduction to Algorithms', as I have read most of the book. Otherwise, I find the topic intriguing and would like to explore more.

Questions

• What are the most common techniques for algorithm optimization, and how can they be classified?
• How does the choice of data structure affect the efficiency of an algorithm?
• What tools and techniques can be used to benchmark and compare different algorithms?
• How can parallelization and caching be used to improve the performance of existing algorithms?
• What practical examples of algorithm optimization exist in large-scale software projects, and what have been the results?

For the complete README, please refer to the README.md file.