What is the time complexity of merging two sorted arrays of sizes m and n?

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Question: What is the time complexity of merging two sorted arrays of sizes m and n?

Options:

Correct Answer: O(m + n)

Solution:

Merging two sorted arrays takes linear time, O(m + n), as we traverse both arrays.

What is the time complexity of merging two sorted arrays of sizes m and n?

What is the time complexity of merging two sorted arrays of sizes m and n?

Step 1: Understand that we have two sorted arrays. One array has 'm' elements and the other has 'n' elements.
Step 2: To merge these two arrays, we need to look at each element in both arrays to combine them into one sorted array.
Step 3: Start with the first element of both arrays and compare them.
Step 4: Add the smaller element to the new merged array and move to the next element in that array.
Step 5: Repeat this process until you have gone through all elements in both arrays.
Step 6: Since we look at each element in both arrays exactly once, the total number of operations is 'm + n'.
Step 7: Therefore, the time complexity of merging the two sorted arrays is O(m + n).

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