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Solution: Longest Word With All Prefixes

Explore how to use a trie data structure to find the longest string where every prefix exists in a given list. Understand the step-by-step algorithm for inserting words, validating prefixes, and selecting the longest valid word efficiently. Gain insights into prefix trees and their application in string management and coding interview problems.

Statement

You are given an array of strings, words. Your task is to find the longest string in words such that every prefix of this string is also present in words.

A prefix of a string is any leading substring. For example, the prefixes of "apple" are "a", "ap", "app", and "appl".

  1. If multiple valid strings have the same maximum length, return the lexicographically smallest one.

  2. If no such string exists, return an empty string "".

Constraints:

  • 11 \leq words.length 103\leq 10^3

  • ...