W7_L1: Balanced search tree

Welcome to Week 7 Lecture 1 of the course "Programming, Data Structures and Algorithms using Python" by Prof. Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSCS2002.html Video Overview This lecture dives into the fascinating world of greedy algorithms, a powerful and tempting strategy for algorithm design. We explore what makes an algorithm greedy, and look at several examples including Dijkstra’s and Prim’s algorithms. The lecture emphasizes the importance of proof of correctness to establish that a greedy approach indeed leads to an optimal solution. We also discuss why many seemingly intuitive greedy strategies fail, and conclude with a detailed analysis of a correct greedy algorithm for the interval scheduling problem, along with a formal proof of its optimality. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a foundation certificate from IITM CODE (Centre for Outreach and Digital Education), diploma(s) from IIT Madras, or BSc/BS degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #GreedyAlgorithms #AlgorithmDesign #DataStructures #IntervalScheduling #Dijkstra #PrimsAlgorithm #MinimumSpanningTree #ShortestPath #Optimization #AlgorithmAnalysis #ProofOfCorrectness #ComputerScience #TheoryOfComputation #Backtracking #LocalVsGlobal #OptimalSolution #PythonProgramming #IITMadras #DataStructuresAndAlgorithms