Bit Manipulation - Single Number III (Two Singles)
If the input array can contain negative numbers, which modification is necessary for the optimal XOR and partition approach to correctly find the two unique numbers?
If the input array can contain negative numbers, which modification is necessary for the optimal XOR and partition approach to correctly find the two unique numbers?
hard🎤 Interviewer Follow-up Q15 of Q15
Step-by-Step Solution
Step 1: Understand bitwise operations with negative numbers
Negative numbers use two's complement; -xor computes two's complement correctly, so set_bit = xor & (-xor) works if implemented carefully.Step 2: Identify necessary care
Ensure language and environment handle negative bitwise operations properly; no need to sort or use absolute values.Final Answer:
Option D -> Option DQuick Check:
Correct handling of two's complement is key for negative numbers [OK]
Quick Trick: Two's complement handles negative bits; no sorting needed [OK]
Common Mistakes:
MISTAKES- Assuming XOR fails on negatives
- Sorting wastes time
- Using absolute values breaks uniqueness
Trap Explanation:
PITFALL- Candidates think negative numbers break XOR or require sorting, but bitwise ops handle them if careful.
Interviewer Note:
CONTEXT- Checks candidate's depth on bitwise ops and negative number handling.
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