Tree: Depth-First Search - Sum Root to Leaf Numbers
Given the Morris Preorder Traversal implementation for summing root-to-leaf numbers, what is the output when the binary tree is:
4 / \ 1 5
Given the Morris Preorder Traversal implementation for summing root-to-leaf numbers, what is the output when the binary tree is:
easy🧾 Trace Q3 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify root-to-leaf paths
Paths are 4->1 and 4->5.Step 2: Form numbers from paths
4->1 forms 41, 4->5 forms 45.Step 3: Sum the numbers
41 + 45 = 86.Step 4: Check Morris traversal output
Morris traversal sums root-to-leaf numbers correctly.Final Answer:
Option B -> Option BQuick Check:
Sum root-to-leaf numbers by concatenation [OK]
Quick Trick: Sum numbers formed by root-to-leaf concatenation [OK]
Common Mistakes:
MISTAKES- Adding node values instead of concatenated numbers
- Misidentifying leaf nodes
- Confusing traversal output with node values
Trap Explanation:
PITFALL- Mistaking addition of node values for concatenation leads to wrong sums.
Interviewer Note:
CONTEXT- Tests ability to trace Morris traversal and sum root-to-leaf numbers.
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