Tree: Depth-First Search - Balanced Binary Tree
What is the space complexity of the optimized recursive approach that checks if a binary tree is balanced using postorder traversal with early exit?
What is the space complexity of the optimized recursive approach that checks if a binary tree is balanced using postorder traversal with early exit?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze recursion stack usage
Recursion depth is at most h (tree height), so call stack uses O(h) space.Step 2: Check auxiliary data structures
No memoization or extra storage used, only variables for heights.Step 3: Clarify space complexity
Auxiliary space excluding recursion stack is O(1), total space including stack is O(h).Final Answer:
Option B -> Option BQuick Check:
Auxiliary space is constant, recursion stack is implicit [OK]
Quick Trick: Auxiliary space is constant, recursion stack counted separately [OK]
Common Mistakes:
MISTAKES- Counting recursion stack as auxiliary space
Trap Explanation:
PITFALL- Candidates confuse recursion stack space with auxiliary data structures.
Interviewer Note:
CONTEXT- Tests understanding of space usage in recursion
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