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Select the correct answerWhich of the given sorting algorithms has a consistent worst-case time complexity of O(n^2), regardless of the initial ordering of the input array?OptionsSelection sortInsertion sortMerge sortQuick sort

Question

Select the correct answerWhich of the given sorting algorithms has a consistent worst-case time complexity of O(n^2), regardless of the initial ordering of the input array?OptionsSelection sortInsertion sortMerge sortQuick sort

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Solution

The correct answer is Selection sort. This sorting algorithm has a consistent worst-case time complexity of O(n^2), regardless of the initial ordering of the input array. Here's why:

  1. Selection sort works by dividing the input array into a sorted and an unsorted region. The sorted region is initially empty, while the unsorted region contains all the elements.

  2. The algorithm repeatedly selects the smallest (or largest, depending on the ordering) element from the unsorted region and moves it to the end of the sorted region. This is done by swapping the selected element with the first element of the unsorted region.

  3. This process is repeated until the unsorted region is empty and the sorted region contains all the elements, at which point the array is fully sorted.

  4. Because the algorithm must iterate over each element in the unsorted region for each element in the sorted region, its worst-case time complexity is O(n^2), regardless of the initial ordering of the input array.

This problem has been solved

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