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What are the worst case time complexities of merge sort and quicksort?

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What are the worst case time complexities of merge sort and quicksort?

The worst case complexity of quick sort is O(n2) as there is need of lot of comparisons in the worst condition. In merge sort, worst case and average case has same complexities O(n log n).

What are the best case and worst case time complexities of quick sort?

Quick Sort Time Complexity

  • Partition of elements take n time.
  • And in quicksort problem is divide by the factor 2.
  • Best Time Complexity : O(nlogn)
  • Average Time Complexity : O(nlogn)
  • Worst Time Complexity : O(n^2)
  • Worst Case will happen when array is sorted.

Does merge sort have a best worst and average case?

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n fewer than the worst case, where. In the worst case, merge sort uses approximately 39\% fewer comparisons than quicksort does in its average case, and in terms of moves, merge sort’s worst case complexity is O(n log n) – the same complexity as quicksort’s best case.

What is worst case of merge sort?

n*log(n)
Merge sort/Worst complexity

What is the average case time complexity of merge sort?

In sorting n objects, merge sort has an average and worst-case performance of O(n log n).

What is the best case time complexity of merge sort?

Sorting algorithms

Algorithm Data structure Time complexity:Best
Quick sort Array O(n log(n))
Merge sort Array O(n log(n))
Heap sort Array O(n log(n))
Smooth sort Array O(n)

What is the average case time complexity of merge sort Mcq?

What is the average case time complexity of merge sort? Explanation: T(n) = 2T(n/2) + n is the recurrence relation for merge sort. Using the master theorem, it is found to be O(n log n).

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What is the best case and worst case of merge sort?

Difference between QuickSort and MergeSort

QUICK SORT MERGE SORT
Worst-case time complexity is O(n2) Worst-case time complexity is O(n log n)
It takes less n space than merge sort It takes more n space than quicksort

What is the average running time complexity of merge sort explain its worst case performance using an example?

What is the average case time complexity of standard merge sort *?

Explanation: Time complexity of standard merge sort is O(n log n) and that of in-place merge sort is O(n2).

What is recurrence for worst case of QuickSort and what is the time complexity in worst case?

What is recurrence for worst case of QuickSort and what is the time complexity in Worst case? Recurrence is T(n) = T(n-2) + O(n) and time complexity is O(n^2)

What’s the worst case for merge sort?