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This lecture introduces the concept of algorithms, discussing their representation, manipulation of data, and formalization in computing. It covers the history of algorithms, their independence from programming languages, and the importance of algorithm complexity analysis. The lecture also explains basic algorithm structures, such as sequences, conditional branches, loops, and iterations, with examples and practical applications. Emphasis is placed on the fundamental principles of algorithm design and the distinction between good and bad algorithmic solutions. The instructor illustrates these concepts with real-world problems and encourages a structured approach to algorithm development.