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Which of the following sorting algorithms is the fastest?OptionsQuick sortMerge sortInsertion sortShell sort

Question

Which of the following sorting algorithms is the fastest?

Options:

  • Quick sort
  • Merge sort
  • Insertion sort
  • Shell sort
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Solution

The speed of a sorting algorithm can vary depending on the specific circumstances, such as the size and initial order of the data set. However, in general, Quick sort and Merge sort are often faster for larger data sets than Insertion sort and Shell sort.

Quick sort and Merge sort both have an average and worst-case time complexity of O(n log n), while Insertion sort has a worst-case time complexity of O(n^2) and Shell sort has a worst-case time complexity of O(n^2) or O(n log n) depending on the gap sequence used.

However, Quick sort is often considered faster than Merge sort in practice because it has smaller constant factors in its time complexity and is an in-place sorting algorithm, meaning it doesn't require any extra space.

So, among the options given, Quick sort is generally considered the fastest.

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