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When comparing the brute force bit-by-bit reversal approach and the byte-wise cache lookup approach, which scenario favors using the cache lookup method?

hard⚖️ Approach Comparison Q8 of Q15
Bit Manipulation - Reverse Bits
When comparing the brute force bit-by-bit reversal approach and the byte-wise cache lookup approach, which scenario favors using the cache lookup method?
AWhen memory is extremely limited and no extra space is allowed
BWhen multiple bit reversals are performed repeatedly on 32-bit integers
CWhen input size varies dynamically beyond 32 bits
DWhen the input is guaranteed to be zero or one
Step-by-Step Solution
Solution:
  1. Step 1: Compare approaches

    Brute force reverses bits each time; cache lookup precomputes reversed bytes.
  2. Step 2: Identify trade-off

    Cache lookup uses extra space but speeds up repeated reversals on 32-bit inputs.
  3. Step 3: Determine best scenario

    Multiple repeated reversals benefit from cache lookup due to amortized cost.
  4. Final Answer:

    Option B -> Option B
  5. Quick Check:

    Cache lookup trades space for speed on repeated calls [OK]
Quick Trick: Cache lookup is best for repeated operations on fixed-size inputs [OK]
Common Mistakes:
MISTAKES
  • Choosing cache for single reversal
  • Ignoring memory trade-offs
Trap Explanation:
PITFALL
  • Candidates may not consider amortized benefits of caching for repeated calls.
Interviewer Note:
CONTEXT
  • Tests understanding of trade-offs between time and space in algorithm design.
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