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Which of the following problems CANNOT be solved using the Binary Tree Maximum Path Sum pattern?

easy🔍 Pattern Recognition Q2 of Q15
Tree: Depth-First Search - Binary Tree Maximum Path Sum
Which of the following problems CANNOT be solved using the Binary Tree Maximum Path Sum pattern?
AFind the maximum sum path in a binary tree where the path can start and end at any node.
BFind the maximum sum root-to-leaf path in a binary tree.
CFind the maximum path sum in a binary tree with negative values allowed.
DFind the longest path (diameter) in a binary tree measured by number of edges.
Step-by-Step Solution
Solution:

  1. Step 1: Understand the pattern's scope

    The Binary Tree Maximum Path Sum pattern handles sums of node values along paths that can start and end anywhere.

  2. Step 2: Identify problem mismatch

    Finding the longest path by number of edges (diameter) is a different problem focusing on path length, not sum, so max path sum pattern doesn't apply.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Diameter problem uses different logic than max path sum [OK]
Quick Trick: Max path sum ≠ longest path by edges [OK]
Common Mistakes:
MISTAKES
  • Confusing max sum with longest path
  • Assuming all path problems use same pattern
  • Ignoring problem constraints on path definition
Trap Explanation:
PITFALL
  • Candidates often think all path problems in trees are solved by max path sum pattern, but diameter is a length-based problem.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to distinguish similar but distinct tree path problems.
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