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Theme

Computational Problems and Algorithm Analysis

Chapter 1
This chapter introduces the concept of computational problems and the importance of algorithm analysis. It covers the basics of algorithm correctness and efficiency, and provides examples to illustrate different worst-case running times.

Goals

  • Understand the relationship between computational problems and algorithms

  • Evaluate algorithm correctness based on problem specifications

  • Analyze algorithm efficiency using worst-case running time

Key Concepts

  • Computational problems

  • Algorithm correctness

  • Algorithm efficiency

Computational Problems and Algorithms

This section explores the relationship between computational problems and algorithms. It explains how algorithms are used to solve computational problems by mapping inputs to solutions.

un-published

Algorithm Correctness

This section discusses the concept of algorithm correctness and how it is determined by whether the output satisfies the problem's specification. It explores the use of proofs in validating algorithm correctness.

un-published

Algorithm Efficiency

This section covers the concept of algorithm efficiency and its measurement in terms of running time. It introduces the concept of worst-case running time and provides examples to demonstrate different worst-case running times of different algorithms.