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Which of the following problems CANNOT be solved by computing the maximum depth of a binary tree?

easy🔍 Pattern Recognition Q2 of Q15
Tree: Depth-First Search - Maximum Depth of Binary Tree
Which of the following problems CANNOT be solved by computing the maximum depth of a binary tree?
AFinding the height of a binary tree
BMeasuring the depth of the deepest leaf node
CDetermining the longest root-to-leaf path length
DCalculating the maximum sum of values along any root-to-leaf path
Step-by-Step Solution
Solution:
  1. Step 1: Understand maximum depth meaning

    Maximum depth measures length (number of nodes) from root to deepest leaf, ignoring node values.
  2. Step 2: Analyze each option

    Options A, C, and D relate to path length or height, which maximum depth directly measures. Calculating the maximum sum of values along any root-to-leaf path requires summing node values, which maximum depth alone cannot solve.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    Max depth ignores node values, so sum problems differ [OK]
Quick Trick: Max depth ≠ max sum path [OK]
Common Mistakes:
MISTAKES
  • Assuming max depth gives max sum
  • Confusing path length with path sum
  • Ignoring node values in sum problems
Trap Explanation:
PITFALL
  • Candidates often think max depth solves all root-to-leaf path problems, missing value aggregation needs.
Interviewer Note:
CONTEXT
  • Checks if candidate distinguishes depth measurement from value-based path problems.
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