What is the runtime of merge sort?

Merge Sort is a stable sort which means that the same element in an array maintain their original positions with respect to each other. Overall time complexity of Merge sort is O(nLogn). It is more efficient as it is in worst case also the runtime is O(nlogn) The space complexity of Merge sort is O(n).

What is the average time complexity of merge sort?

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).

What is the fastest sorting algorithm?

If you’ve observed, the time complexity of Quicksort is O(n logn) in the best and average case scenarios and O(n^2) in the worst case. But since it has the upper hand in the average cases for most inputs, Quicksort is generally considered the “fastest” sorting algorithm.

What are the four steps of the merge sort algorithm?

Merge sort

1. Consider this unsorted list:
2. The list is split into half:
3. The process repeats:
4. Until all elements are individually separated:
5. The process is repeated for the initial right hand division:
6. Eventually the list is recompiled.

Is merge sort worse than heap sort?

Heap Sort is better :The Heap Sort sorting algorithm uses O(1) space for the sorting operation while Merge Sort which takes O(n) space Merge Sort is better * The merge sort is slightly faster than…

What is the time complexity of merge sort algorithm?

Merge Sort is a type of recursive algorithm. Using Masters Theorem, we get -> T (n)=O (n*logn). Time complexity of Merge Sort is O (n*logn) in all 3 cases (worst, average and best) as in merge sort , array is recursively divided into two halves and take linear time to merge two halves.

When is an insertion sort preferred to a merge sort?

Insertion Sort is preferred for fewer elements. It becomes fast when data is already sorted or nearly sorted because it skips the sorted values. Efficiency: Considering average time complexity of both algorithm we can say that Merge Sort is efficient in terms of time and Insertion Sort is efficient in terms of space.

How *exactly* does this merge sort work?

Conceptually, merge sort works as follows in recursive fashion: Divide the unsorted list into two sublists of about half the size Sort each of the two sublists Merge the two sorted sublists back into one sorted list