Bit Manipulation - Maximum Product of Word Lengths
Given a list of words, you want to find two words that share no common letters and whose lengths' product is maximized. Which approach guarantees an optimal solution efficiently?
Given a list of words, you want to find two words that share no common letters and whose lengths' product is maximized. Which approach guarantees an optimal solution efficiently?
easy🔍 Pattern Recognition Q11 of Q15
Step-by-Step Solution
Step 1: Understand the problem constraints
The problem requires checking if two words share any common letters, which is efficiently done using bitmasks representing character sets.Step 2: Identify the optimal approach
Bitmasking allows constant-time checks for common characters using bitwise AND, enabling efficient pairwise comparisons and maximum product calculation.Final Answer:
Option A -> Option AQuick Check:
Bitmasking is the standard approach for character set overlap checks [OK]
Quick Trick: Bitmasking enables O(1) character overlap checks [OK]
Common Mistakes:
MISTAKES- Assuming greedy length selection without overlap checks works
- Trying DP on prefixes which doesn't fit this problem
- Using sliding window without character set validation
Trap Explanation:
PITFALL- Greedy or sliding window approaches seem efficient but fail to guarantee no common letters, leading to incorrect results.
Interviewer Note:
CONTEXT- Tests if candidate can identify bitmasking as the key pattern for character overlap problems.
Master "Maximum Product of Word Lengths" in Bit Manipulation
Want More Practice?
15+ quiz questions · All difficulty levels · Free
Free Signup - Practice All QuestionsMore Bit Manipulation Quizzes