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:
Step 1: Understand maximum depth meaning
Maximum depth measures length (number of nodes) from root to deepest leaf, ignoring node values.
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.
Final Answer:
Option D -> Option D
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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