Which of the following sorting methods sorts a given set of items that is already in sorted order or in reverse sorted order with equal speed?a)Heap sortb)Quick sortc)Insertion sortd)Selection sorCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Explanation:

Quick sort is a divide and conquer algorithm that uses a pivot element to partition the given array into two halves, recursively sorts the sub-arrays and finally merges them to obtain a sorted array. It is one of the fastest sorting algorithms when compared to other sorting algorithms like Selection sort, Insertion sort, and Heap sort. The time complexity of Quick sort is O(n log n) in the average case and O(n^2) in the worst-case scenario, i.e., when the array is already sorted or reverse sorted. However, the worst-case scenario can be avoided by choosing a good pivot element.

Reasoning:

The reason why Quick sort is the correct answer for this question is that Quick sort has a worst-case scenario when the array is already sorted or reverse sorted, but the time complexity of Quick sort for sorting a given set of items that is already in sorted order or in reverse sorted order is equal to that of Selection sort and Insertion sort. However, Quick sort is faster than Selection sort and Insertion sort in the average case scenario when the array is randomly ordered.

Conclusion:

Hence, we can conclude that Quick sort is the best sorting algorithm for sorting a given set of items that is already in sorted order or in reverse sorted order with equal speed.

Similar Computer Science Engineering (CSE) Doubts

You want to check whether a given set of items is sorted. Which of the following sorting methods will be the most efficient if it is already is sorted order?

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