Time Complexity Quiz

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Questions and Answers

What does time complexity in theoretical computer science describe?

  • The memory space required by an algorithm
  • The number of loops in an algorithm
  • The amount of computer time it takes to run an algorithm (correct)
  • The number of different inputs an algorithm can handle

How is time complexity commonly estimated?

  • By evaluating the input size of the algorithm
  • By measuring the physical time taken to run the algorithm
  • By analyzing the memory usage of the algorithm
  • By counting the number of elementary operations performed by the algorithm (correct)

What does worst-case time complexity refer to?

  • The minimum amount of time required for inputs of a given size
  • The time required for the best-case scenario inputs
  • The average time required for inputs of a given size
  • The maximum amount of time required for inputs of a given size (correct)

Why is average-case complexity less commonly considered?

<p>Because there are only a finite number of possible inputs of a given size (A)</p> Signup and view all the answers

What is the relationship between the time taken and the number of elementary operations performed by an algorithm?

<p>They are related by a constant factor (D)</p> Signup and view all the answers

What does time complexity in theoretical computer science describe?

<p>The amount of computer time it takes to run an algorithm (B)</p> Signup and view all the answers

Which time complexity is commonly considered when analyzing algorithms?

<p>Worst-case time complexity (C)</p> Signup and view all the answers

What does worst-case time complexity refer to?

<p>Maximum amount of time required for inputs of a given size (C)</p> Signup and view all the answers

Why is average-case complexity less commonly specified?

<p>There are only a finite number of possible inputs of a given size (C)</p> Signup and view all the answers

How is time complexity generally estimated?

<p>By counting the number of elementary operations performed by the algorithm (A)</p> Signup and view all the answers

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