What is the time complexity of merging two sorted linked lists?

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Question: What is the time complexity of merging two sorted linked lists?

Options:

Correct Answer: O(n)

Solution:

Merging two sorted linked lists can be done in linear time, O(n), where n is the total number of elements in both lists.

What is the time complexity of merging two sorted linked lists?

What is the time complexity of merging two sorted linked lists?

Step 1: Understand that we have two linked lists that are already sorted.
Step 2: Know that we want to combine these two lists into one sorted list.
Step 3: Realize that we will go through each element of both lists one by one.
Step 4: Compare the current elements of both lists to decide which one to add to the new list first.
Step 5: Continue this process until all elements from both lists are added to the new list.
Step 6: Count the total number of elements in both lists, which is n.
Step 7: Since we go through each element once, the time it takes to merge the lists is proportional to n.
Step 8: Therefore, the time complexity of merging two sorted linked lists is O(n).

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