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If you need to verify whether a binary tree is symmetric based solely on its structure (ignoring node values), which modification to the standard DFS approach is required?

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Tree: Depth-First Search - Symmetric Tree (DFS Approach)
If you need to verify whether a binary tree is symmetric based solely on its structure (ignoring node values), which modification to the standard DFS approach is required?
ACompare node values but ignore subtree structure
BCompare only the presence or absence of nodes, ignoring their values
CUse BFS instead of DFS to check node values
DCheck if all node values are unique before DFS
Step-by-Step Solution
Solution:
  1. Step 1: Ignore node values

    Modify the DFS to only check if both nodes exist or both are null.
  2. Step 2: Compare structure

    Ensure left subtree structure mirrors right subtree structure without comparing values.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Structure-only symmetry ignores node values [OK]
Quick Trick: Check node existence, not values, for structural symmetry [OK]
Common Mistakes:
MISTAKES
  • Continuing to compare node values despite ignoring them
  • Switching to BFS unnecessarily
  • Checking uniqueness of values which is irrelevant
Trap Explanation:
PITFALL
  • Comparing values when only structure matters leads to incorrect results.
Interviewer Note:
CONTEXT
  • Tests ability to adapt DFS logic for structural symmetry ignoring values.
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