Bit Manipulation - Gray Code
What is the space complexity of generating an n-bit Gray code sequence using the recursive reflected Gray code construction?
What is the space complexity of generating an n-bit Gray code sequence using the recursive reflected Gray code construction?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze recursion stack space
Recursion depth is n, so O(n) stack space.Step 2: Analyze output list space
The output list stores 2ⁿ numbers, so O(2ⁿ) space.Final Answer:
Option B -> Option BQuick Check:
Both recursion stack and output list contribute to space [OK]
Quick Trick: Recursive depth n plus output size 2ⁿ [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack space
- Assuming output list is O(n)
Trap Explanation:
PITFALL- Candidates often forget recursion stack space or underestimate output size.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space in recursive algorithms.
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