Tree: Depth-First Search - Invert Binary Tree
What is the space complexity of the recursive invert binary tree function, considering the recursion call stack for a tree of height h?
What is the space complexity of the recursive invert binary tree function, considering the recursion call stack for a tree of height h?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify recursion stack usage
Recursive calls stack up to the height of the tree h.Step 2: Relate height to n
Space complexity depends on tree height h, which can be up to n in worst case.Final Answer:
Option D -> Option DQuick Check:
Recursion stack depth = tree height = O(h) [OK]
Quick Trick: Recursion stack = tree height -> O(h) [OK]
Common Mistakes:
MISTAKES- Assuming O(log n) always
- Forgetting worst-case skewed tree height
Trap Explanation:
PITFALL- Candidates often confuse balanced tree height with worst-case skewed tree height.
Interviewer Note:
CONTEXT- Tests understanding of recursion stack space vs input size
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