Subsets & Combinations - Combination Sum II (No Reuse, Duplicates)
What is the space complexity of the optimal backtracking solution for Combination Sum II with n candidates?
What is the space complexity of the optimal backtracking solution for Combination Sum II with n candidates?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Account for recursion stack
Maximum recursion depth is O(n) since each call advances index by 1.Step 2: Account for path storage
Path stores up to O(n) elements; result storage is output dependent and not counted.Final Answer:
Option D -> Option DQuick Check:
Stack + path both O(n) space [OK]
Quick Trick: Recursion stack + path list dominate space [OK]
Common Mistakes:
MISTAKES- Forgetting recursion stack space
- Confusing with DP table space O(n*W)
Trap Explanation:
PITFALL- Candidates often ignore recursion stack space or confuse with DP space complexity.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space in recursive backtracking.
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