Tree: Depth-First Search - Serialize and Deserialize Binary Tree
What is the space complexity of the recursive preorder serialization method with null markers for a binary tree of height h?
What is the space complexity of the recursive preorder serialization method with null markers for a binary tree of height h?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze recursion stack space
Recursive preorder traversal uses O(h) stack space where h is tree height.Step 2: Analyze output list space
Output list stores all node values and null markers, O(n) space.Step 3: Clarify total space
Total space is O(n) due to output list; recursion stack is O(h) auxiliary space.Final Answer:
Option C -> Option CQuick Check:
Output list dominates space, recursion stack is auxiliary [OK]
Quick Trick: Output list space dominates over recursion stack [OK]
Common Mistakes:
MISTAKES- Ignoring output list space
- Assuming recursion stack is O(1)
Trap Explanation:
PITFALL- Candidates often forget output list space or assume tail call optimization removes recursion stack.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary vs total space in recursive serialization.
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