# Computational Complexity

May 9th, 2015
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Our goal is to be able to compare algorithms and determine which is the most “eï¬ƒcient”. When we calculate the eï¬ƒciency of an algorithm, we are essentially trying to quantify how computer resources are required. And the two most important computer resources are time and memory. Usually this is referred to as the computational complexity of the algorithm, and Time complexity is an analysis of the amount of time required to solve a problem of a particular size, while the Space complexity is an analysis of the amount of memory required. For the most part, we take computational complexity to mean Time complexity . CS204/209 — Lecture 4: Best, Worst, and Average Case Complexity 2/11

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Japan Bangladesh Economic RelationshipIn todays lecture1 Recall... Computational ComplexityTime Complexity2 Example: Binary SearchBest case Worst case Average case3 Exercise: Linear Search 4 Example: Bubble sortMost of the content is based on Section 2.3 of Rosens Discrete Mathematics, and 2.2 of Cormen et al. Introduction to Algorithms.CS204/209 Lecture 4: Best, Worst, and Average Case Complexity1/11Recall... Computational ComplexityOur goal is to be able to compare algorithms and determine which is the most ecient. When we calculate the eciency of an algorithm, we are essentially trying to quantify how computer resources are required. And the two most important computer resources are time and memory. Usually this is referred to as the computational complexity of the algorithm, and Time complexity is an analysis of the amount of time required to solve a problem of a particular size, while the Space complexity is an analysis of the amount of memory required. For the most part, we take computational complexity to mean Time complexity . CS204/209 Lecture 4: Best, Worst, and Average Case Complexity 2/11Recall... Computational Complexity Time ComplexityTime complexity is usually calculated in terms of the number of times certain operations are carried out by an algorithm, e.g., the number of additions or subtractions, the number of multiplications, the number of comparisons made (if statements). Typically, we count the nu

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