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What is the time complexity of merging two binary trees?

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Question: What is the time complexity of merging two binary trees?

Options:

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

Correct Answer: O(n)

Solution: 

Merging two binary trees involves visiting each node, resulting in a time complexity of O(n), where n is the total number of nodes in both trees.

What is the time complexity of merging two binary trees?

Practice Questions

Q1
What is the time complexity of merging two binary trees?
  1. O(n)
  2. O(log n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

What is the time complexity of merging two binary trees?
  • Step 1: Understand that merging two binary trees means combining them into one tree.
  • Step 2: Realize that to merge the trees, you need to visit each node in both trees.
  • Step 3: Count the total number of nodes in both trees. Let's call this number 'n'.
  • Step 4: Since you visit each node once to merge them, the time taken is proportional to the number of nodes.
  • Step 5: Therefore, the time complexity for merging the two trees is O(n).
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