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I got the core idea pretty fast, compare adjacent words character by character, first difference gives you a directed edge.
Model the problem as a directed graph where each character is a node and edges represent the relative order derived from comparing adjacent words. Then perform a topological sort (e.g., Kahn's algorithm) to find a valid character order, detecting cycles or invalid prefix cases that would make the order impossible.
Pro tip: Explicitly handle the prefix edge case: if a shorter word appears after a longer word that is its prefix, the dictionary is invalid. Also, mention that multiple valid orders may exist, so any topological order is acceptable.
Iterate through adjacent word pairs, compare characters until a difference is found, and add a directed edge from the first differing character to the second. If no difference is found and the first word is longer, return an empty string immediately.
Initialize an in-degree count for each character that appears in the word list. For each edge added, increment the in-degree of the destination character.
Use a queue to process all characters with in-degree 0, appending them to the result. For each processed character, decrement the in-degree of its neighbors and enqueue any that reach 0.
After processing, if the result length is less than the total number of unique characters, a cycle exists. Return an empty string in that case.
If no cycle is detected, return the topological order as a string. This order is a valid character ordering consistent with the alien dictionary.
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