Bit Manipulation - Reverse Bits
What is the time complexity of the optimal bit reversal algorithm using divide and conquer masks on a fixed 32-bit integer?
What is the time complexity of the optimal bit reversal algorithm using divide and conquer masks on a fixed 32-bit integer?
medium🪤 Complexity Trap Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze algorithm steps
The algorithm performs a fixed number of bitwise operations (5 steps) regardless of input.Step 2: Determine complexity
Since input size is fixed (32 bits), the time complexity is constant O(1).Final Answer:
Option C -> Option CQuick Check:
Fixed steps on fixed-size input -> O(1) time [OK]
Quick Trick: Fixed 32-bit input means constant time operations [OK]
Common Mistakes:
MISTAKES- Confusing n with input value
- Assuming linear time over bits
Trap Explanation:
PITFALL- Candidates often think complexity depends on bit count linearly, but fixed width means constant time.
Interviewer Note:
CONTEXT- Tests understanding of complexity on fixed-size inputs.
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