Sorting Algorithms Quiz
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Questions and Answers

Which sorting algorithm sorts in place and has a worst-case running time of Θ(n^2)?

  • Bubble sort
  • Merge sort
  • Insertion sort
  • Selection sort (correct)

Which sorting algorithm uses the divide-and-conquer approach?

  • Bubble sort
  • Insertion sort
  • Merge sort (correct)
  • Selection sort

Which sorting algorithm has a running time of Θ(n) in the best case?

  • Selection sort
  • Insertion sort (correct)
  • Merge sort
  • Bubble sort

Which sorting algorithm does not sort in place?

<p>Merge sort (B)</p> Signup and view all the answers

Which sorting algorithm has a running time of Θ(n^2)?

<p>Bubble sort (B)</p> Signup and view all the answers

Flashcards

Selection Sort

A sorting algorithm that sorts the elements in place, meaning it doesn't require additional memory to store the sorted elements. Its worst-case running time is quadratic (Θ(n^2)). This means the time it takes to sort increases significantly as the number of elements increases.

Merge Sort

A sorting algorithm that follows the divide-and-conquer approach. It repeatedly divides the input array into two halves, sorts each half recursively, and then merges the sorted halves. Its time complexity is O(n log n) in all cases.

Insertion Sort

A sorting algorithm that has a linear running time (Θ(n)) in the best case when the input is already sorted. This means its speed increases linearly with the number of elements. Its average and worst-case time complexities are Θ(n^2).

Merge Sort

A sorting algorithm that doesn't sort in place. It uses an auxiliary array to store the sorted elements. Therefore, it requires additional memory.

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Bubble Sort

A sorting algorithm that repeatedly compares adjacent elements and swaps them if they are in the wrong order. Its time complexity is quadratic (Θ(n^2)).

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Study Notes

Sorting Algorithms

  • The algorithm that sorts in place and has a worst-case running time of Θ(n^2) is Bubble Sort.
  • Merge Sort uses the divide-and-conquer approach.
  • The algorithm that has a running time of Θ(n) in the best case is Linear Time Sort.
  • Heap Sort does not sort in place.
  • The algorithm that has a running time of Θ(n^2) is Insertion Sort.

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Description

Test your knowledge of sorting algorithms in this quiz. Learn about insertion sort, bubble sort, selection sort, and merge sort. Discover their design approaches, sorting in place capabilities, and running times.

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