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Which modification is necessary to ensure correctness and efficiency?

hard🎤 Interviewer Follow-up Q15 of Q15
Tree: Depth-First Search - Serialize and Deserialize Binary Tree
Suppose you want to extend the serialization/deserialization to support binary trees where nodes can have duplicate values and the tree can be very deep (height > 10,000). Which modification is necessary to ensure correctness and efficiency?
AUse iterative BFS serialization with null markers and iterative deserialization to avoid recursion stack overflow.
BUse recursive DFS with memoization to handle duplicates and deep trees efficiently.
CSwitch to preorder traversal without null markers to reduce string size and recursion depth.
DSerialize only unique node values and reconstruct tree assuming balanced shape.
Step-by-Step Solution
  1. Step 1: Identify problem with deep recursion

    Recursive DFS can cause stack overflow on very deep trees.
  2. Step 2: Use iterative BFS with null markers

    Iterative BFS avoids recursion stack issues and null markers preserve structure even with duplicates.
  3. Step 3: Avoid assumptions about uniqueness or balanced shape

    Duplicates require storing all nodes explicitly; balanced assumptions break correctness.
  4. Final Answer:

    Option A -> Option A
  5. Quick Check:

    Iterative BFS with null markers handles deep trees and duplicates safely [OK]
Quick Trick: Iterative BFS avoids recursion limits and preserves structure [OK]
Common Mistakes:
MISTAKES
  • Removing null markers to save space breaks reconstruction
  • Using recursion on deep trees causes stack overflow
  • Assuming unique values or balanced trees
Trap Explanation:
PITFALL
  • Candidates often try to optimize by removing null markers or using recursion without considering depth limits.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to adapt serialization to constraints like duplicates and deep recursion limits.
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