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Consider two approaches to solve Single Number II: (1) Bit counting with modulo 3, and (2) Bitwise FSM. When is the bit counting approach preferable over the FSM?

hard⚖️ Approach Comparison Q8 of Q15
Bit Manipulation - Single Number II (Three Copies)
Consider two approaches to solve Single Number II: (1) Bit counting with modulo 3, and (2) Bitwise FSM. When is the bit counting approach preferable over the FSM?
AWhen input size is very large and memory is limited
BWhen code simplicity and clarity are prioritized over constant space
CWhen the input contains negative numbers and sign bit handling is critical
DWhen the input array is sorted
Step-by-Step Solution
Solution:
  1. Step 1: Compare complexity and code clarity

    Bit counting is straightforward and easier to implement but uses more operations per element.
  2. Step 2: Identify trade-off scenario

    Bit counting is preferable when code simplicity is more important than minimal space or speed.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Bit counting trades off simplicity for slightly higher runtime [OK]
Quick Trick: Bit counting is simpler but less optimal than FSM [OK]
Common Mistakes:
MISTAKES
  • Assuming FSM always better
  • Ignoring code maintainability
Trap Explanation:
PITFALL
  • Candidates often overlook practical trade-offs favoring simpler code.
Interviewer Note:
CONTEXT
  • Evaluates understanding of approach trade-offs beyond raw performance.
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