Bit Manipulation - Subsets Using Bitmask
Consider two approaches to generate subsets: (1) bitmask enumeration and (2) backtracking with early pruning. When is backtracking with pruning preferable over bitmask enumeration?
Consider two approaches to generate subsets: (1) bitmask enumeration and (2) backtracking with early pruning. When is backtracking with pruning preferable over bitmask enumeration?
hard⚖️ Approach Comparison Q8 of Q15
Step-by-Step Solution
Solution:
Step 1: Compare approaches
Bitmask enumeration generates all subsets blindly, including duplicates if input has duplicates.Step 2: Identify pruning advantage
Backtracking with pruning can skip duplicates by sorting and conditional checks, avoiding redundant subsets.Final Answer:
Option D -> Option DQuick Check:
Pruning is essential when input has duplicates to avoid duplicate subsets [OK]
Quick Trick: Pruning avoids duplicates; bitmask does not [OK]
Common Mistakes:
MISTAKES- Assuming bitmask handles duplicates automatically
- Ignoring pruning benefits
Trap Explanation:
PITFALL- Candidates often think bitmask is always best, missing pruning's advantage with duplicates.
Interviewer Note:
CONTEXT- Tests candidate's ability to compare approaches and understand pruning benefits.
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