Algorithm Complexity 2023/2024

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Questions and Answers

What is the process of finding the computational complexity of algorithms?

  • Empirical approach
  • Algorithmic analysis (correct)
  • Run-time analysis
  • Platform-independent analysis

Which algorithm is more efficient for table lookups on sorted lists or arrays?

  • Sequential search (cost O(n))
  • Binary search algorithm (with cost O(log n)) (correct)
  • Quick search algorithm
  • Linear search algorithm

What does run-time efficiency estimate and anticipate as the input size of an algorithm increases?

  • Exponential running time
  • Constant running time
  • Increase in running time (correct)
  • Decrease in running time

Why are benchmark testing and empirical approach significant in analyzing algorithm performance?

<p>They gauge the comparative performance of algorithms (C)</p> Signup and view all the answers

What type of growth rate does a linear search program exhibit as its input size increases?

<p>Linear growth rate (B)</p> Signup and view all the answers

What is the primary purpose of a programming language in relation to algorithms?

<p>To express algorithms in a form that can be executed by a computer (C)</p> Signup and view all the answers

Why is it important to specify the range of inputs for which an algorithm works?

<p>To define the conditions under which the algorithm functions correctly (D)</p> Signup and view all the answers

What are the two most common measures of resource usage for an algorithm?

<p>Time and space (C)</p> Signup and view all the answers

Why is it important to know how much of a particular resource is theoretically required for a given algorithm?

<p>To optimize the efficiency of the algorithm (B)</p> Signup and view all the answers

What important aspect distinguishes different algorithms for solving the same problem?

<p>The ideas on which each algorithm is based (A)</p> Signup and view all the answers

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