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What is the space complexity of the optimal UTF-8 validation algorithm that uses a single pass with a continuation byte counter?

medium🪤 Complexity Trap Q6 of Q15
Bit Manipulation - UTF-8 Validation
What is the space complexity of the optimal UTF-8 validation algorithm that uses a single pass with a continuation byte counter?
AO(n) due to auxiliary arrays
BO(1) constant space using counters only
CO(n) due to recursion stack
DO(log n) due to bitmask storage
Step-by-Step Solution
Solution:
  1. Step 1: Identify auxiliary data structures

    The algorithm uses only a few integer variables (e.g., remaining counter).
  2. Step 2: Confirm no recursion or extra arrays

    No recursion or extra arrays means constant space usage.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Only counters used -> O(1) space [OK]
Quick Trick: No recursion or arrays means O(1) space [OK]
Common Mistakes:
MISTAKES
  • Assuming recursion stack space
  • Counting input array as extra space
Trap Explanation:
PITFALL
  • Candidates confuse input size with auxiliary space or forget recursion stack space.
Interviewer Note:
CONTEXT
  • Tests understanding of space usage in iterative bitmask algorithms.
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