Knowee
Questions
Features
Study Tools

The efficiency of the Merge Sort is O(Nlog2N), where N is the size of the list being sorted.Group of answer choicesTrueFalse

Question

The efficiency of the Merge Sort is O(Nlog2N), where N is the size of the list being sorted.

Group of answer choices

  • True
  • False
🧐 Not the exact question you are looking for?Go ask a question

Solution

The statement is True.

Explanation:

The efficiency of Merge Sort has been well-established in computer science and is generally understood to be O(N log N), where N N represents the number of elements in the list being sorted.

This complexity arises from the fact that:

  1. Merge Sort repeatedly divides the list into halves, which leads to log2N \log_2 N levels of division.
  2. At each level of division, it performs a linear amount of work to merge the divided lists back together, totaling O(N) O(N) .

Thus, combining these two aspects results in the overall time complexity of Merge Sort being O(Nlog2N) O(N \log_2 N) .

This problem has been solved

Similar Questions

Merge sort uses which of the following technique to implement sorting? Options backtracking greedy algorithm divide and conquer dynamic programming

Which of the following is an out-of-place sorting algorithm?Group of answer choicesInsertion sortBubble sortAll of theseMerge sort

What is the run time of Merge Sort algorithm in terms of Big O? a. O(logN) b. O(N) c. O(N!) d. O(NlogN) e. O(N^2)

What is the time complexity for executing merge sort on an array of size n which is already sorted isSelect one:O(n log n)O(log n)OO(n^2)

Running merge sort on an array of size n which is already sorted isO(n)O(nlogn)O(n2) None

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.