OOP & Design Patterns - Iterator & Composite Pattern - Traversal Abstractions
What is the maximum auxiliary space complexity required by an iterator implementing the Composite pattern to traverse a tree with n nodes and height h?
What is the maximum auxiliary space complexity required by an iterator implementing the Composite pattern to traverse a tree with n nodes and height h?
medium📊 Complexity Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify auxiliary space usage
The iterator uses a stack to keep track of nodes during traversal.Step 2: Relate stack size to tree height
The maximum stack size corresponds to the height h of the tree.Final Answer:
Option C -> Option CQuick Check:
Stack depth equals tree height, not total nodes [OK]
Quick Trick: Stack size limited by tree height, not total nodes [OK]
Common Mistakes:
MISTAKES- Assuming space proportional to total nodes n
- Confusing time complexity with space complexity
Trap Explanation:
PITFALL- Mistaking total nodes n for auxiliary space instead of height h
Interviewer Note:
CONTEXT- Evaluates understanding of space complexity in composite iterators
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