Tree: Depth-First Search - Sum Root to Leaf Numbers
In a binary tree where each root-to-leaf path forms a number by concatenating node values, which traversal technique is most suitable to calculate the sum of all such numbers efficiently?
In a binary tree where each root-to-leaf path forms a number by concatenating node values, which traversal technique is most suitable to calculate the sum of all such numbers efficiently?
easy💻🤔 Programming Reasoning Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Choose traversal method
DFS is ideal because it naturally explores root-to-leaf paths.Step 2: Accumulate path values
During DFS, accumulate the number formed by concatenating node values.Step 3: Sum all root-to-leaf numbers
When a leaf is reached, add the accumulated number to the total sum.Final Answer:
Option C -> Option CQuick Check:
DFS explores all root-to-leaf paths systematically [OK]
Quick Trick: Use DFS to accumulate path numbers efficiently [OK]
Common Mistakes:
MISTAKES- Using BFS which doesn't naturally accumulate path values
- Assuming BST properties apply to arbitrary binary trees
- Trying bottom-up DP without path context
Trap Explanation:
PITFALL- BFS visits nodes level-wise but doesn't accumulate path numbers naturally.
Interviewer Note:
CONTEXT- Tests understanding of traversal methods suitable for path-based accumulation.
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