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This lecture covers the concept of optimal binary search trees, focusing on building a binary search tree from a sequence of distinct keys to minimize the expected search cost. Topics include dynamic programming algorithms, recursive formulations, pseudocode for finding the optimal solution, and the analysis of time complexity. The instructor explains the optimal substructure of binary search trees and provides examples to illustrate the key concepts. The lecture concludes with discussions on observations related to optimal BSTs and the expected search cost of an optimal BST.
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