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Suppose the binary tree nodes can have duplicate values, and you are given preorder and inorder traversals with duplicates. Which approach best handles this variant?

hard🎤 Interviewer Follow-up Q10 of Q15
Tree: Depth-First Search - Construct Tree from Preorder and Inorder
Suppose the binary tree nodes can have duplicate values, and you are given preorder and inorder traversals with duplicates. Which approach best handles this variant?
AUse the standard hash map approach with value to index mapping
BUse iterative stack approach assuming unique values
CUse dynamic programming to memoize subtree constructions
DModify recursion to track indices ranges without relying on value-to-index map
Step-by-Step Solution
Solution:
  1. Step 1: Understand duplicate value challenge

    Hash maps with value keys fail because duplicates map to multiple indices.
  2. Step 2: Modify recursion approach

    Tracking index ranges without relying on value-to-index maps handles duplicates correctly.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    Index range tracking avoids hash map issues with duplicates [OK]
Quick Trick: Duplicates require index range tracking, not simple maps [OK]
Common Mistakes:
MISTAKES
  • Assuming unique values for all approaches
Trap Explanation:
PITFALL
  • Candidates try to reuse hash maps, failing on duplicates.
Interviewer Note:
CONTEXT
  • Tests advanced handling of duplicates in tree reconstruction
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