Alien Dictionary

Question (LC.269)

The new alien language uses [a-z]. But the order of the letter is unknown.

Given a list of nonempty words from the alien dictionary (where words are sorted), derive the order of letters in this alien language.

Example

Input: ["z", "x"]
Output: "zx"

There may be multiple valid order of letters, return any one of them is fine.]

Input: ["wrt", "wrf", "er", "ett", "rftt"]
Output: "wertf"

If the order is invalid, return an empty string.

Input: ["z", "x", "z"]
Output: ""

You may assume that if a is a prefix of b, then a must appear before b in the given dictionary.

Input: ["z", "an"]
Output: "zan" (n cannot be a prefix of z by this rule)

Analysis

We can think of this as a way to linearize the dependencies.

Two challenges:

  • How to infer the dependency? (draw edges)
  • How to store the graph structure?

Reference

Alien Dictionary by Ethan Li

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