Competitive Programming Curriculum
Module 1: Introduction to Competitive Programming
- What is Competitive Programming?
- Benefits and importance of Competitive Programming
- Basic terminology: Time Complexity, Space Complexity, Big O notation
- Online judges and platforms (GeeksforGeeks, LeetCode, Codeforces, AtCoder, TopCoder, etc.)
- Setting up coding environment (IDE, online compilers)
- Basic input/output and debugging techniques
Module 2: Data Structures
- Arrays and strings
- Stacks and queues
- Linked lists
- Hashing and hash maps
- Trees (Binary Trees, Binary Search Trees, Heaps)
- Graphs (Graph representation, BFS, DFS)
Module 3: Algorithms
- Sorting algorithms (Bubble, Selection, Insertion, Merge, Quick)
- Searching algorithms (Binary Search)
- Greedy algorithms and problems
- Dynamic programming concepts and practice
- Divide and Conquer algorithms
Module 4: Advanced Data Structures
- Priority queues and heaps
- Disjoint Set Union (DSU) or Union-Find
- Advanced tree structures (AVL, Red-Black Trees)
- Trie data structure
- Segment Trees and Fenwick Trees
Module 5: Graph Algorithms
- Shortest path algorithms (Dijkstra's, Bellman-Ford, Floyd-Warshall)
- Minimum Spanning Tree algorithms (Prim's, Kruskal's)
- Strongly Connected Components (Kosaraju's algorithm)
- Topological Sorting
- Advanced graph problems
Module 6: Number Theory
- Prime number generation and testing
- GCD and LCM
- Sieve of Eratosthenes
- Modular arithmetic and modular inverses
- Euler's Totient Function and its applications
Module 7: String Algorithms
- String searching algorithms (KMP, Rabin-Karp)
- Longest Common Subsequence (LCS)
- Edit distance
- Suffix arrays and suffix trees
Module 8: Advanced Topics
- Bit manipulation and bitwise operations
- Combinatorics and probability
- Geometry algorithms
- Game theory and Nim games
- Advanced dynamic programming problems
Module 9: Practice and Contests
- Participating in online contests
- Time management during contests
- Strategies for solving problems under time pressure
- Solving contest-style problems together
Module 10: Real-world Applications
- Problem-solving in technical interviews
- Applying competitive programming skills to real-world scenarios
- Open-source contributions and algorithm optimization
Module 11: Special Topics (Optional)
- Parallel programming and multi-threading
- Advanced competitive programming languages (like Rust)
- Advanced debugging techniques
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Eric Denney
UI/UX Developer
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Calvin Quade
Sr Artist
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Dixie Gordon
Quality Assurance