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What is the overall time complexity of the Morris inorder traversal algorithm on a binary tree with n nodes?

medium📊 Complexity Q5 of Q15
Tree: Depth-First Search - Binary Tree Inorder Traversal
What is the overall time complexity of the Morris inorder traversal algorithm on a binary tree with n nodes?
AO(n)
BO(n log n)
CO(n^2)
DO(log n)
Step-by-Step Solution
Solution:

  1. Step 1: Understand Morris traversal

    It modifies tree links temporarily to avoid stack/recursion.

  2. Step 2: Analyze node visits

    Each edge is traversed at most twice, so total operations proportional to nodes.

  3. Final Answer:

    Option A -> Option A

  4. Quick Check:

    Linear time since each node processed constant times [OK]
Quick Trick: Morris traversal runs in linear time O(n) [OK]
Common Mistakes:
MISTAKES
  • Assuming extra overhead causes O(n log n)
  • Confusing with recursive traversal complexity
  • Thinking it is quadratic due to link modifications
Trap Explanation:
PITFALL
  • Misunderstanding repeated visits to nodes as increasing complexity beyond linear.
Interviewer Note:
CONTEXT
  • Tests knowledge of Morris traversal time complexity and algorithm efficiency.
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