Subsets & Combinations - Partition to K Equal Sum Subsets
What is the space complexity of the backtracking with bitmask memoization approach for partitioning an array of size
n?What is the space complexity of the backtracking with bitmask memoization approach for partitioning an array of size n?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify memoization storage
Memo dictionary stores results for up to 2^n bitmask states.Step 2: Account for recursion stack
Recursion stack depth is at most n, so total space is O(n + 2^n).Final Answer:
Option A -> Option AQuick Check:
Memo + recursion stack space combined [OK]
Quick Trick: Memo stores 2^n states plus recursion stack [OK]
Common Mistakes:
MISTAKES- Ignoring recursion stack space
- Assuming only memo space matters
Trap Explanation:
PITFALL- Candidates often forget recursion stack space, underestimating total space complexity.
Interviewer Note:
CONTEXT- Tests understanding of auxiliary space including recursion stack.
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