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What is the time complexity of merging two sorted binary trees?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the time complexity of merging two sorted binary trees?
  • Step 1: Understand that merging two sorted binary trees means combining them into one tree while keeping the order.
  • 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 say the first tree has 'm' nodes and the second tree has 'n' nodes.
  • Step 4: The total number of nodes is m + n.
  • Step 5: Since you need to visit each of these nodes to merge them, the time taken is proportional to the total number of nodes.
  • Step 6: Therefore, the time complexity for merging the two trees is O(m + n).
  • Step 7: If we consider 'n' as the total number of nodes in both trees, we can simplify it to O(n).
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