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Which of the following problems CANNOT be solved by reconstructing a binary tree from preorder and inorder traversals?

easy🔍 Pattern Recognition Q2 of Q15
Tree: Depth-First Search - Construct Tree from Preorder and Inorder
Which of the following problems CANNOT be solved by reconstructing a binary tree from preorder and inorder traversals?
ARebuilding a binary tree from inorder and postorder traversals
BDetermining the maximum path sum in a binary tree without reconstructing it
CFinding the lowest common ancestor in a binary tree given its structure
DConstructing a binary tree given preorder and inorder traversals with unique values
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem requirements

    Constructing trees from traversals or finding LCA requires tree structure, which can be built from traversals.

  2. Step 2: Identify problem not requiring reconstruction

    Maximum path sum is computed on an existing tree, not by reconstructing from traversals.

  3. Final Answer:

    Option B -> Option B

  4. Quick Check:

    Max path sum needs tree, not reconstruction [OK]
Quick Trick: Max path sum doesn't need tree reconstruction [OK]
Common Mistakes:
MISTAKES
  • Assuming all tree problems require reconstruction
Trap Explanation:
PITFALL
  • Candidates confuse tree construction with tree property queries that don't need reconstruction.
Interviewer Note:
CONTEXT
  • Checks understanding of when tree reconstruction is applicable
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