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Which of the following problems CANNOT be solved by reconstructing a binary tree from inorder and postorder traversal arrays?

easy🔍 Pattern Recognition Q2 of Q15
Tree: Depth-First Search - Construct Tree from Inorder and Postorder
Which of the following problems CANNOT be solved by reconstructing a binary tree from inorder and postorder traversal arrays?
AConstructing the binary tree from inorder and postorder traversal arrays with unique values
BRebuilding a binary tree from preorder and inorder traversal arrays
CReconstructing a binary tree from inorder and level-order traversal arrays
DConstructing a binary tree from inorder and postorder traversal arrays with unique values
Step-by-Step Solution
Solution:

  1. Step 1: Understand traversal pairs that allow unique reconstruction

    Inorder + postorder or inorder + preorder uniquely identify a binary tree.

  2. Step 2: Recognize that inorder + level-order does not guarantee unique reconstruction

    Level-order combined with inorder is ambiguous without additional info.

  3. Final Answer:

    Option C -> Option C

  4. Quick Check:

    Inorder + level-order is not a standard unique reconstruction pair [OK]
Quick Trick: Inorder + postorder or preorder reconstruct uniquely, level-order doesn't [OK]
Common Mistakes:
MISTAKES
  • Assuming level-order + inorder always reconstructs uniquely
Trap Explanation:
PITFALL
  • Candidates often think any two traversals reconstruct uniquely, but level-order with inorder is ambiguous.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of traversal pairs.
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