Bit Manipulation - Bitwise AND of Numbers Range
What is the space complexity of the optimal bitwise AND range algorithm that uses a loop clearing bits without recursion or extra data structures?
What is the space complexity of the optimal bitwise AND range algorithm that uses a loop clearing bits without recursion or extra data structures?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze memory usage of the loop-based algorithm
The algorithm uses only a few integer variables and no recursion or arrays.Step 2: Confirm no auxiliary data structures or recursion stack
Space is constant regardless of input size.Final Answer:
Option A -> Option AQuick Check:
Only variables for left, right, and loop control used [OK]
Quick Trick: No recursion or arrays means O(1) space [OK]
Common Mistakes:
MISTAKES- Assuming recursion stack space
- Confusing time and space complexity
Trap Explanation:
PITFALL- Candidates often confuse iterative bit manipulation with recursive approaches that use stack space.
Interviewer Note:
CONTEXT- Tests understanding of space usage in iterative bitwise algorithms.
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