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Solution: Verifying an Alien Dictionary

Understand how to verify if a list of words is correctly sorted according to an alien language's alphabet order. Explore both naive and optimized methods, focusing on topological sort to compare adjacent words efficiently. Learn to implement the solution while considering time and space complexity constraints.

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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