Bit Manipulation - Find Two Missing Numbers
What is the auxiliary space complexity of the XOR partitioning approach for finding two missing numbers?
What is the auxiliary space complexity of the XOR partitioning approach for finding two missing numbers?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify extra space usage
The XOR approach uses only a few integer variables and no additional data structures proportional to n.Step 2: Confirm constant space
All variables are scalars; no recursion or auxiliary arrays are used, so space is O(1).Final Answer:
Option C -> Option CQuick Check:
Only constant extra variables used [OK]
Quick Trick: XOR approach uses constant extra variables only [OK]
Common Mistakes:
MISTAKES- Assuming auxiliary arrays or recursion stack
- Confusing input space with auxiliary space
Trap Explanation:
PITFALL- Candidates often confuse input storage with auxiliary space or forget recursion stack in other approaches.
Interviewer Note:
CONTEXT- Tests candidate's understanding of space complexity in bit manipulation
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