What is the time complexity of the Merge operation in Merge Sort?

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Question: What is the time complexity of the Merge operation in Merge Sort?

Options:

Correct Answer: O(n)

Solution:

The time complexity of the Merge operation in Merge Sort is O(n) as it combines two sorted arrays.

What is the time complexity of the Merge operation in Merge Sort?

What is the time complexity of the Merge operation in Merge Sort?

Step 1: Understand that Merge Sort is a sorting algorithm that divides an array into smaller parts.
Step 2: Recognize that the Merge operation is the process of combining two sorted arrays into one sorted array.
Step 3: Note that during the Merge operation, we look at each element of the two arrays to place them in the correct order.
Step 4: Realize that if we have two arrays of total length n, we will need to check each of the n elements once.
Step 5: Conclude that since we check each element once, the time it takes to complete the Merge operation is proportional to n.
Step 6: Therefore, the time complexity of the Merge operation in Merge Sort is O(n).

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