Bit Manipulation - Generate All Permutations Using Bitmask DP
What is the space complexity of the recursive bitmask DP approach with memoization for generating all permutations of
n elements?What is the space complexity of the recursive bitmask DP approach with memoization for generating all permutations of n elements?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Count memo table size
Memo stores results for each bitmask state, total 2^n states.Step 2: Account for recursion stack and stored permutations
Each memo entry stores permutations of length up to n, so space is O(n * 2^n).Final Answer:
Option C -> Option CQuick Check:
Space includes memo and recursion stack proportional to n * 2^n [OK]
Quick Trick: Memo stores results for all 2^n states with length n [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack or memo storage size
Trap Explanation:
PITFALL- Candidates pick O(n!) confusing permutations count with memo states.
Interviewer Note:
CONTEXT- Tests understanding of space usage in recursive bitmask DP
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