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
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 represents the number of elements in the list being sorted.
This complexity arises from the fact that:
- Merge Sort repeatedly divides the list into halves, which leads to levels of division.
- At each level of division, it performs a linear amount of work to merge the divided lists back together, totaling .
Thus, combining these two aspects results in the overall time complexity of Merge Sort being .
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