Tree: Depth-First Search - Binary Tree Maximum Path Sum
What is the space complexity of the recursive postorder traversal solution for maximum path sum in a binary tree with height h?
What is the space complexity of the recursive postorder traversal solution for maximum path sum in a binary tree with height h?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify auxiliary space
Recursive calls use call stack proportional to tree height h.Step 2: Compute space complexity
Auxiliary space is O(h), where h is height; no extra data structures of size n are used.Final Answer:
Option B -> Option BQuick Check:
Recursion stack depth equals tree height -> O(h) space [OK]
Quick Trick: Recursion stack depth = tree height -> O(h) space [OK]
Common Mistakes:
MISTAKES- Assuming O(n) due to node count
- Ignoring recursion stack space
- Confusing with iterative stack space
Trap Explanation:
PITFALL- Candidates often forget recursion stack space and assume constant or linear space incorrectly.
Interviewer Note:
CONTEXT- Tests understanding of recursion stack space vs input size.
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