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Solution: Verifying an Alien Dictionary

Explore a method to determine if words in an alien language are lexicographically sorted based on a custom alphabet order. Understand both naive and optimized solutions by comparing adjacent words, using topological sort concepts, and implementing a hash map for character ranking. This lesson guides you through the problem analysis, algorithm design, and complexity considerations to validate alien dictionary order efficiently.

Statement

In an alien language, the alphabet consists of the same lowercase English letters but arranged in a different order.

Given a list of words, words, written in this alien language, and a string order representing the order of the alien alphabet (as a permutation of lowercase letters), return TRUE if the words are sorted lexicographically according to order; otherwise, return FALSE.

Note: A word a is considered lexicographically smaller than word b if:

  • At the first position where the two words differ, the character in a comes before the character in b in the given order string.

  • If one word is a prefix of the other (and all compared characters are the same), then the shorter word is considered smaller.

Constraints:

  • 11 \leq words.length 103\leq 10^3
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