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

medium🪤 Complexity Trap Q5 of Q15
Bit Manipulation - UTF-8 Validation
What is the time complexity of the optimal UTF-8 validation algorithm that uses a single pass with a continuation byte counter?
AO(n) linear time scanning each byte once
BO(n²) due to nested bit checks
CO(n log n) due to bitmask sorting
DO(1) constant time regardless of input size
Step-by-Step Solution
Solution:
  1. Step 1: Analyze algorithm steps

    The algorithm scans each byte exactly once, performing constant time bit operations.
  2. Step 2: Confirm no nested loops or recursion

    No nested loops or recursion means linear time complexity.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Single pass over n bytes -> O(n) time [OK]
Quick Trick: Single pass means O(n) time [OK]
Common Mistakes:
MISTAKES
  • Assuming nested loops cause O(n²)
  • Confusing bit operations with sorting
Trap Explanation:
PITFALL
  • Candidates often mistake bit checks as nested loops causing O(n²), but each byte is processed once.
Interviewer Note:
CONTEXT
  • Tests understanding of time complexity in bitmask-based linear scans.
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