What is the time complexity of traversing a binary tree?

Practice Questions

Q1
What is the time complexity of traversing a binary tree?
  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?
  • 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 entire tree, you need to visit every single node exactly once.
  • Step 4: Count the number of nodes in the tree. Let's say there are 'n' nodes.
  • Step 5: Since you visit each of the 'n' nodes once, the total time taken is proportional to 'n'.
  • Step 6: In computer science, we express this relationship using Big O notation, which describes the upper limit of time complexity.
  • Step 7: Therefore, the time complexity of traversing a binary tree is O(n).
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