Algorithm Design: Divide and Conquer

This lecture introduces methods for problem-solving, focusing on recursion and dynamic programming. It explains how to design algorithms by breaking down problems into smaller sub-problems and provides detailed examples like the insertion sort algorithm. Different approaches, such as top-down and bottom-up, are discussed, along with strategies for finding similarities with known problems. The lecture also covers techniques for identifying misplaced elements in arrays and moving them to their correct positions. Various improvements to the algorithms are proposed, including optimizing the search for misplaced elements and combining the steps of finding the correct position and moving the element. Overall, the lecture aims to equip students with the skills to develop efficient algorithms for a wide range of computational problems.