Bit Manipulation - Single Number III (Two Singles)
What is the space complexity of the optimal XOR and partition approach for finding two unique numbers in an array of size n?
What is the space complexity of the optimal XOR and partition approach for finding two unique numbers in an array of size n?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify auxiliary data structures
The algorithm uses only a few integer variables (xor, set_bit, num1, num2).Step 2: Check recursion or extra space
There is no recursion or extra arrays; partitioning is done via bitwise checks.Final Answer:
Option D -> Option DQuick Check:
Constant space usage confirmed [OK]
Quick Trick: Only variables, no extra arrays or recursion [OK]
Common Mistakes:
MISTAKES- Assuming recursion or auxiliary arrays
- Confusing with hash map space
Trap Explanation:
PITFALL- Candidates often forget that recursion or hash maps increase space, but XOR approach uses none.
Interviewer Note:
CONTEXT- Tests understanding of space complexity in bit manipulation solutions.
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