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This lecture focuses on the concrete implementation of sets using a class called S list 7, which stores elements in a list without duplicates. The instructor explains the methods provided by S abstract 7 and the inefficiency of this naive implementation. The lecture covers the size, add, and remove methods, highlighting the importance of the equals method for sets. The instructor also discusses the iterator method and the considerations for implementing it correctly. A test class, S7Test, is used to verify the implementation, emphasizing that while technically correct, the S list 7 class is too inefficient for practical use. The lecture concludes by hinting at a more sophisticated implementation based on hash tables in the next video.