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Maximum Product of Word Lengths

Given a string array words, return the maximum value of length(word[i]) * length(word[j]) where the two words do not share common letters.

Given a string array words, return the maximum value of length(word[i]) * length(word[j]) where the two words do not share common letters. If no such two words exist, return 0.

Maximum Product of Word Lengths diagram

Example 1

Input: words = ["abcw","baz","foo","bar","xtfn","abcdef"]

Output: 16

Explanation: The two words can be "abcw", "xtfn".

Example 2

Input: words = ["a","ab","abc","d","cd","bcd","abcd"]

Output: 4

Explanation: The two words can be "ab", "cd".

Example 3

Input: words = ["a","aa","aaa","aaaa"]

Output: 0

Explanation: No such pair of words.

Constraints

  • 2 <= words.length <= 1000
  • 1 <= words[i].length <= 1000
  • words[i] consists only of lowercase English letters.

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