Bit Manipulation - Maximum Product of Word Lengths
What is the space complexity of the optimal bitmasking solution that stores bitmasks and lengths for all words?
What is the space complexity of the optimal bitmasking solution that stores bitmasks and lengths for all words?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify stored data
Bitmasks and lengths arrays each store one value per word, so O(n) space.Step 2: Consider auxiliary space
Each bitmask uses constant space (26 bits), so total space is O(n + k) where k is word length for processing.Final Answer:
Option A -> Option AQuick Check:
Space is linear in number of words plus auxiliary for word processing [OK]
Quick Trick: Bitmask per word is constant space, total O(n) plus input word length [OK]
Common Mistakes:
MISTAKES- Assuming O(n*k) for storage
- Confusing recursion stack with space used
Trap Explanation:
PITFALL- Candidates often overestimate space by counting input size or recursion stack not present here.
Interviewer Note:
CONTEXT- Tests understanding of space usage in bitmasking approach
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