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What is the space complexity of the brute force bit reversal algorithm that uses a loop and accumulates the result in a variable?

medium🪤 Complexity Trap Q6 of Q15
Bit Manipulation - Reverse Bits
What is the space complexity of the brute force bit reversal algorithm that uses a loop and accumulates the result in a variable?
AO(n) due to storing all bits
BO(1) constant space
CO(32) for loop variables
DO(log n) due to recursion stack
Step-by-Step Solution
Solution:
  1. Step 1: Analyze space usage

    The code uses constant variables and a loop, no recursion or extra arrays.
  2. Step 2: Consider recursion stack

    Since this is iterative, no recursion stack is used, so space is constant O(1).
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Iterative loop uses constant space, no recursion stack [OK]
Quick Trick: Iterative loops use constant space, recursion adds stack space [OK]
Common Mistakes:
MISTAKES
  • Confusing loop variables with extra space
  • Assuming recursion stack exists
Trap Explanation:
PITFALL
  • Candidates often forget recursion stack space or confuse loop variables as extra space.
Interviewer Note:
CONTEXT
  • Tests understanding of space complexity in iterative vs recursive solutions.
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