Bit Manipulation - Find Two Missing Numbers
Which of the following problems CANNOT be solved efficiently using the XOR partitioning approach for finding two missing numbers?
Which of the following problems CANNOT be solved efficiently using the XOR partitioning approach for finding two missing numbers?
easy🔍 Pattern Recognition Q2 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze XOR partitioning assumptions
XOR partitioning assumes all numbers except the missing ones appear exactly once; duplicates break XOR uniqueness.Step 2: Identify problem incompatible with duplicates
When duplicates exist, XOR results become ambiguous, making the approach invalid.Final Answer:
Option B -> Option BQuick Check:
Duplicates invalidate XOR uniqueness assumption [OK]
Quick Trick: XOR fails if duplicates exist in input [OK]
Common Mistakes:
MISTAKES- Assuming XOR works with duplicates
- Ignoring problem constraints on distinctness
Trap Explanation:
PITFALL- Candidates often overlook that XOR relies on unique elements, so duplicates break the approach.
Interviewer Note:
CONTEXT- Tests candidate's understanding of XOR approach limitations
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