Antti Laaksonen Bücher

This enhanced textbook builds on a comprehensive introduction to competitive programming, featuring new material on advanced topics like Fourier transforms, minimum cost flows in graphs, and automata in string problems. It effectively demonstrates how competitive programming serves as a method for implementing and testing algorithms while fostering computational thinking and enhancing programming and debugging skills. The text introduces dynamic programming and fundamental algorithm design techniques, exploring a wide range of graph algorithms. It aligns with the IOI Syllabus while also delving into advanced topics such as maximum flows, Nim theory, and suffix structures. Specialized algorithms for trees are surveyed, alongside relevant mathematical concepts. The book reviews C++ features and guides readers in creating efficient algorithms for large data sets. It discusses sorting algorithms, binary search, and various data structures from the C++ standard library. Advanced topics like bit-parallelism and amortized analysis are covered, with a focus on efficiently processing array range queries. Fully updated and easy to follow, this core textbook is an ideal reference for students learning algorithms and preparing for programming contests. While a basic understanding of programming is assumed, prior experience in algorithm design or contests is not necessary, making it suitable for both beginners and experienced readers

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