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What is the space complexity of the XOR-based single number algorithm?

medium🪤 Complexity Trap Q6 of Q15
Bit Manipulation - Single Number (XOR Self-Cancellation)
What is the space complexity of the XOR-based single number algorithm?
AO(n)
BO(log n)
CO(n) due to recursion stack
DO(1)
Step-by-Step Solution
Solution:

  1. Step 1: Check auxiliary data structures

    No extra arrays or hash maps are used.

  2. Step 2: Check recursion or stack usage

    Algorithm is iterative, no recursion stack.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Only one variable used, constant space [OK]
Quick Trick: XOR approach uses constant extra space [OK]
Common Mistakes:
MISTAKES
  • Assuming recursion stack exists
  • Confusing with hash map space
Trap Explanation:
PITFALL
  • Candidates often forget recursion or auxiliary space, overestimating space complexity.
Interviewer Note:
CONTEXT
  • Tests understanding of space usage in iterative bitwise algorithms.
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