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You have a list of lowercase words and want to find two words that share no common letters and maximize the product of their lengths. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15

Bit Manipulation - Maximum Product of Word Lengths

You have a list of lowercase words and want to find two words that share no common letters and maximize the product of their lengths. Which algorithmic pattern best fits this problem?

ABitmasking to represent character sets and check overlaps efficiently

BDynamic programming on substrings to find maximum length subsequence

CSliding window to find longest substring without repeating characters

DGreedy selection based on word length without overlap checks

Step-by-Step Solution

Solution:

Step 1: Identify problem constraints
The problem requires checking if two words share any common letters efficiently, which is well-suited for bitmasking.
Step 2: Recognize bitmasking pattern
Represent each word as a bitmask of characters, then check overlap with bitwise AND to find pairs with no common letters.
Final Answer:
Option A -> Option A
Quick Check:
Bitmasking is the canonical approach for character overlap checks [OK]

Quick Trick: Bitmasking efficiently checks character overlaps [OK]

Common Mistakes:

MISTAKES

Confusing substring DP with character set overlap
Using sliding window for pairwise word checks

Trap Explanation:

PITFALL

Candidates often confuse substring or subsequence DP with character set overlap checks, missing bitmasking's efficiency.

Interviewer Note:

CONTEXT

Tests candidate's ability to recognize bitmasking pattern from problem description

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