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This lecture covers the Divide and Conquer approach applied to sorting, focusing on the Merge Sort algorithm. It explains the process of dividing an array into subarrays, recursively sorting them, and then merging them back together to produce a single sorted array. The instructor demonstrates the Merge procedure, simplification techniques for implementation, and the analysis of divide-and-conquer algorithms. The lecture concludes with a detailed analysis of the Merge Sort algorithm's time complexity, showing that it runs in O(nlog n) time, making it much faster than Insertion sort for large instances.