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Given the following partial DFS call stack state during Path Sum execution: current node value=7, accumulated sum=10, targetSum=17, and the function returns True. Which path led to this result?

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Tree: Depth-First Search - Path Sum
Given the following partial DFS call stack state during Path Sum execution: current node value=7, accumulated sum=10, targetSum=17, and the function returns True. Which path led to this result?
APath with nodes summing to 17 including current node
BPath with nodes summing to 7 only
CPath with nodes summing to 10 only
DNo path found, function returns False
Step-by-Step Solution
Solution:
  1. Step 1: Understand accumulated sum meaning

    Accumulated sum before current node is 10.
  2. Step 2: Add current node value to accumulated sum

    10 + 7 = 17 equals targetSum, so path sum matches target.
  3. Step 3: Confirm function returns True

    Indicates a root-to-leaf path with sum 17 exists including current node.
  4. Final Answer:

    Option A -> Option A
  5. Quick Check:

    Accumulated + current = targetSum -> True [OK]
Quick Trick: Sum includes current node to reach target [OK]
Common Mistakes:
MISTAKES
  • Ignoring current node value
  • Confusing accumulated sum with total sum
Trap Explanation:
PITFALL
  • Candidates may think accumulated sum alone equals target, ignoring current node.
Interviewer Note:
CONTEXT
  • Tests ability to reason backward through DFS state.
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