Algorithms

Fundamentals

• Algorithmic Complexity - Time/space complexity, Big-O, NP-hardness, complexity theory
• General Algorithms - Range search, recursion, union-find, prime factorization, and misc algorithms
• Mathematics - Combinatorial optimization, MO algorithm, powersets

Core Algorithm Categories

• Searching & Sorting - Binary search, quicksort, mergesort, heapsort, radix sort, timsort
• Graph Theory - BFS, DFS, Dijkstra, MST, maximum flow, topological sort
• Dynamic Programming - DP patterns, greedy algorithms, knapsack, edit distance
• String Algorithms - Pattern matching, substring search (KMP, Boyer-Moore, Rabin-Karp)

Specialized Topics

• Bit Manipulation - Bitwise operations and techniques
• Data Compression - Huffman coding, LZW, RLE, bitmap compression
• Complex Systems - Game theory, minimax algorithm
• Advanced Algorithms - A* search, linear programming, TSP, multi-armed bandit