The setup sounds weird but it's basically just a custom comparator problem.
First, derive the alien alphabet order by comparing adjacent words and extracting character precedence constraints. Then, build a directed graph from these constraints and perform a topological sort to check for cycles, which would indicate an invalid ordering. Finally, verify that each adjacent pair of words is sorted according to the derived order.
Pro tip: Pay special attention to edge cases like duplicate words, empty strings, and words where one is a prefix of the other—these often trip up candidates. Also, clarify with the interviewer whether the alien alphabet is guaranteed to contain all 26 letters or just a subset.
Ask the interviewer about the alphabet size, whether all letters are used, and how to handle duplicate words or prefix relationships. This ensures you cover all constraints before coding.
Iterate through adjacent word pairs and find the first differing character to establish a precedence rule (e.g., 'a' comes before 'b'). If no differing character is found, ensure the shorter word is not longer than the next word (prefix rule).
Construct a directed graph where an edge from u to v means u precedes v in the alien alphabet. Check for cycles using topological sort (Kahn's algorithm or DFS); a cycle means the ordering is invalid.
Using the derived alphabet order, compare each adjacent pair of words lexicographically to confirm they are sorted. If any pair is out of order, return false.
Discuss time and space complexity: O(N * L + V + E) where N is number of words, L is max word length, V is alphabet size, and E is number of precedence edges. Mention potential optimizations like early termination.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.