Undergraduate Topics in Computer Science: Guide to Competitive Programming

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This invaluable textbook offers a comprehensive introduction to modern competitive programming, showcasing its effectiveness in learning algorithms through practical application. It emphasizes the design of functional algorithms, enhances programming and debugging skills, and fosters problem-solving thinking essential in competitive environments. The book includes "folklore" algorithm design tricks familiar to seasoned competitive programmers, previously discussed mainly in online forums. Key topics include an overview of C++ features and strategies for creating efficient algorithms to handle large data sets. It covers sorting algorithms, binary search, and various data structures from the C++ standard library. The text introduces dynamic programming and explores elementary graph algorithms, alongside advanced topics like bit-parallelism, amortized analysis, and efficient array range query processing. Specialized algorithms for trees, relevant mathematical concepts, advanced graph techniques, geometric algorithms, and string techniques are also examined. Additionally, it addresses more complex subjects such as square root algorithms and dynamic programming optimization. This accessible guide serves as an ideal reference for students eager to learn algorithms and prepare for programming contests. While a basic understanding of programming is assumed, prior experience in algorithm design or contests is not required, making it