This is the classic topological sort problem on character constraints.
Model the problem as a directed graph where each character is a node and edges represent the relative order derived from adjacent word pairs. Then perform a topological sort to find a valid character ordering, returning an empty string if a cycle is detected or if the input is invalid (e.g., a longer word precedes its prefix).
Pro tip: Always validate the input first: if a word is longer than the next word and the next word is its prefix, the ordering is impossible. Also, remember to include all unique characters from the words in the graph, even those with no edges, to produce a complete ordering.
Check for invalid cases where a longer word appears before its prefix in the list. Collect all unique characters from all words to ensure the final ordering includes every character.
For each pair of adjacent words, find the first differing character and add a directed edge from the character in the first word to the character in the second word. Use a set to avoid duplicate edges.
Perform a topological sort on the graph using either Kahn's algorithm (BFS with in-degree) or DFS with cycle detection. If a cycle is detected, return an empty string.
If the topological sort succeeds, concatenate the characters in the sorted order. Ensure all characters from the character set are included; if not, append any remaining characters (they can be placed anywhere).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Came right after the first question with almost no break.
Map each character of the alien alphabet to its index (0-25) to create a rank lookup. Then iterate through the list of words, comparing each adjacent pair lexicographically using the rank lookup. If any pair is out of order, return false; otherwise return true.
Pro tip: Clarify edge cases upfront: empty word list, single word, and words where one is a prefix of the other (e.g., 'app' vs 'apple'). Also, mention that you can early-exit on the first out-of-order pair for efficiency.
Create an array or hash map that maps each character in the alien alphabet to its position (0 to 25). This allows O(1) comparisons.
Loop from i = 0 to n-2, comparing words[i] and words[i+1] using the alien order. If any pair is out of order, return false immediately.
For each pair, iterate character by character up to the minimum length. If characters differ, compare their ranks; if the first word's rank is greater, it's out of order. If all characters match, the shorter word must come first (or they are equal).
If one word is a prefix of the other, ensure the shorter word appears first. If all pairs are in order, return true.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.