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In Merge Sort, what is the time complexity for merging two sorted arrays?

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Question: In Merge Sort, what is the time complexity for merging two sorted arrays?

Options:

  1. O(n)
  2. O(n log n)
  3. O(log n)
  4. O(n^2)

Correct Answer: O(n)

Solution: 

Merging two sorted arrays takes O(n) time, where n is the total number of elements in both arrays.

In Merge Sort, what is the time complexity for merging two sorted arrays?

Practice Questions

Q1
In Merge Sort, what is the time complexity for merging two sorted arrays?
  1. O(n)
  2. O(n log n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

In Merge Sort, what is the time complexity for merging two sorted arrays?
  • Step 1: Understand that merging means combining two sorted arrays into one sorted array.
  • Step 2: Identify the total number of elements in both arrays. Let's call this number 'n'.
  • Step 3: Realize that you will look at each element in both arrays to decide where it goes in the new array.
  • Step 4: Since you are checking each element once, the time it takes to merge is proportional to the total number of elements, which is 'n'.
  • Step 5: Conclude that the time complexity for merging two sorted arrays is O(n).
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