Algorithms are the heart of computer science, dictating how efficiently problems are solved. Whether its searching for a value in a database or navigating a GPS route, algorithms make it all possible. **Types of Algorithms**: 1. **Sorting Algorithms**: Bubble sort, merge sort, quicksort. 2. **Search Algorithms**: Binary search, depth-first search (DFS), breadth-first search (BFS). 3. **Optimization Algorithms**: Greedy algorithms, dynamic programming. **Example: Sorting with Quicksort** Quicksort divides the input into smaller parts (using a pivot) and recursively sorts each partition. Its average time complexity is O(n log n), making it efficient for large datasets. Beyond fundamentals, explore: - **Machine Learning Algorithms**: Neural networks, decision trees, clustering techniques. - **Cryptography**: Algorithms like RSA for secure communication. - **Compression**: Reducing file sizes with Huffman coding. By analyzing and implementing algorithms, developers gain insights into trade-offs like speed versus memory usage. Experimenting with real-world datasets or coding platforms like HackerRank can sharpen algorithmic thinking.