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Identify the bug in the following code snippet for Single Number II using the bitwise FSM approach:

medium🐞 Bug Identification Q14 of Q15
Bit Manipulation - Single Number II (Three Copies)
Identify the bug in the following code snippet for Single Number II using the bitwise FSM approach:
ALine with 'twos |= ones & num'
BLine with 'ones ^= num'
CLine with 'common_mask = ~(ones | twos)'
DLine with 'ones &= common_mask'
Step-by-Step Solution
  1. Step 1: Compare common_mask calculation with correct formula

    The correct mask is the negation of the AND of ones and twos, i.e., ~(ones & twos), not ~(ones | twos).
  2. Step 2: Understand impact of wrong mask

    Using OR instead of AND causes bits to be cleared incorrectly, failing to reset bits appearing thrice properly.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Correct mask uses AND, not OR, to clear bits appearing three times [OK]
Quick Trick: Mask must clear bits appearing in both ones and twos simultaneously [OK]
Common Mistakes:
MISTAKES
  • Using OR instead of AND in mask
  • Misordering bit updates
Trap Explanation:
PITFALL
  • OR looks similar and plausible but breaks the FSM logic subtly.
Interviewer Note:
CONTEXT
  • Tests candidate's attention to subtle bitwise logic details
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