What is the time complexity of the inorder traversal of a binary tree?

Practice Questions

Q1
What is the time complexity of the inorder traversal of 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 the inorder traversal of 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: Learn what inorder traversal means. Inorder traversal means visiting the left child, then the current node, and finally the right child.
  • Step 3: Realize that during inorder traversal, we visit each node in the tree exactly once.
  • Step 4: Count the total number of nodes in the tree, which we call 'n'.
  • Step 5: Since we visit each of the 'n' nodes once, the time taken for the traversal is proportional to 'n'.
  • Step 6: Conclude that the time complexity of the inorder traversal is O(n).
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