Tree: Depth-First Search - Serialize and Deserialize Binary Tree
What is the overall time complexity of serializing and then deserializing a binary tree with n nodes using a BFS approach that includes null markers?
What is the overall time complexity of serializing and then deserializing a binary tree with n nodes using a BFS approach that includes null markers?
medium📊 Complexity Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Serialization complexity
BFS visits each node once, including null markers, so serialization is O(n).Step 2: Deserialization complexity
Deserialization also processes each node and null marker once, so O(n).Step 3: Combined complexity
Adding serialization and deserialization gives O(n) + O(n) = O(n).Final Answer:
Option B -> Option BQuick Check:
Each node processed once in both steps [OK]
Quick Trick: BFS processes all nodes once, total O(n) time [OK]
Common Mistakes:
MISTAKES- Assuming BFS is slower due to null markers increasing complexity
- Confusing with balanced tree complexities like O(n log n)
- Thinking deserialization requires nested loops causing O(n^2)
Trap Explanation:
PITFALL- Null markers do not increase asymptotic complexity beyond O(n).
Interviewer Note:
CONTEXT- Tests understanding of BFS serialization/deserialization time complexity.
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