Bit Manipulation - Subsets Using Bitmask
What is the space complexity of the recursive backtracking approach to generate all subsets of an array of size n?
What is the space complexity of the recursive backtracking approach to generate all subsets of an array of size n?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Account for recursion stack
Maximum recursion depth is O(n) due to path length.Step 2: Account for result storage
All subsets stored require O(n * 2^n) space, which dominates recursion stack space.Final Answer:
Option A -> Option AQuick Check:
Space is dominated by output storage of all subsets [OK]
Quick Trick: Output storage O(n*2^n) dominates stack O(n) [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack space
- Assuming output space only
Trap Explanation:
PITFALL- Candidates often underestimate total space complexity by ignoring output size.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space beyond output storage.
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