/DP-Unleashed

Implying the power and potential of dynamic programming techniques

MIT LicenseMIT

Mastering Competitive Programming with Dynamic Programming

Welcome to the "Mastering Competitive Programming with Dynamic Programming" repository! This project aims to provide a comprehensive guide to understanding and excelling in dynamic programming for competitive programming. In This repo you will find the code for every problems in this book.

Table of Contents

Introduction to Competitive Programming

  • What is competitive programming?
  • Benefits and importance of competitive programming
  • Overview of different programming contests and platforms

Getting Started with Dynamic Programming

  • Introduction to dynamic programming (DP)
  • Understanding the concept of optimal substructure and overlapping subproblems
  • Key principles and characteristics of DP problems

Basic Dynamic Programming Techniques

  • Memoization and tabulation approaches
  • Recursion and iterative solutions
  • Understanding time and space complexity of DP solutions

Classic Dynamic Programming Problems

  • Fibonacci sequence
  • Knapsack problem
  • Longest common subsequence
  • Coin change problem
  • Edit distance

Advanced Dynamic Programming Techniques

  • State compression and bitmasking
  • Divide and conquer with DP
  • Bit manipulation and DP
  • Tree and graph-based DP problems

Dynamic Programming Optimization Techniques

  • Space optimization techniques (rolling arrays, matrix exponentiation)
  • Combinatorial optimization (bitmask DP, meet in the middle)
  • Other optimization techniques (sparse DP, divide and conquer optimization)

Dynamic Programming in Competitive Programming Contests

  • Strategies for solving DP problems under time constraints
  • Techniques for handling large inputs and optimizing solutions
  • Tips for debugging and testing DP solutions in contest environments

Real-World Applications of Dynamic Programming

  • Dynamic programming in algorithm design
  • Applications in data analysis and optimization
  • Examples of real-world problems solved using DP

Advanced Topics in Competitive Programming

  • Advanced algorithms and data structures
  • Advanced problem-solving techniques
  • Advanced contest strategies

Conclusion

  • Recap of key concepts and techniques covered in the book
  • Encouragement for continuous practice and learning
  • Resources and references for further exploration

We hope that "Mastering Competitive Programming with Dynamic Programming" will serve as a valuable resource in your journey to excel in competitive programming using dynamic programming techniques. Happy coding!

For any questions or inquiries, feel free to reach out to the author at [smmiloy23@gmail.com].