What is the time complexity of traversing a binary tree with n nodes?

Practice Questions

Q1
What is the time complexity of traversing a binary tree with n nodes?
  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 traversing a binary tree with n nodes?
  • Step 1: Understand what a binary tree is. A binary tree is a data structure where each node has at most two children.
  • Step 2: Know that traversing a binary tree means visiting each node in the tree.
  • Step 3: Realize that to traverse the tree, you need to visit every single node to ensure you have seen all of them.
  • Step 4: If there are n nodes in the binary tree, you will visit each of those n nodes once.
  • Step 5: Since you visit each node once, the total time taken is proportional to the number of nodes, which is n.
  • Step 6: In big O notation, we express this as O(n), meaning the time complexity is linear with respect to the number of nodes.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely