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You need to determine if a binary tree has a root-to-leaf path where the sum of node values equals a target sum. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15
Tree: Depth-First Search - Path Sum
You need to determine if a binary tree has a root-to-leaf path where the sum of node values equals a target sum. Which algorithmic pattern best fits this problem?
ABreadth-first search with level tracking
BGreedy traversal selecting maximum node values
CDynamic programming on tree nodes
DDepth-first search with path sum accumulation
Step-by-Step Solution
Solution:
  1. Step 1: Identify problem requirements

    The problem requires checking root-to-leaf paths and summing node values along each path.
  2. Step 2: Match pattern to algorithm

    Depth-first search (DFS) naturally explores root-to-leaf paths and can accumulate sums during traversal, making it the ideal pattern.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    DFS fits path accumulation problems [OK]
Quick Trick: Root-to-leaf sum problems -> DFS pattern [OK]
Common Mistakes:
MISTAKES
  • Confusing BFS as better for path sums
  • Thinking DP is needed for simple path existence
Trap Explanation:
PITFALL
  • Candidates often pick BFS or DP because they know those patterns but miss that DFS is simpler and direct here.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to recognize tree traversal patterns for path sums.
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