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Solution: Reconstruct Itinerary

Explore how to reconstruct an itinerary from a list of flight tickets by applying graph theory concepts. Understand the use of Hierholzer's algorithm to find Eulerian paths and implement depth-first search with lexical ordering to ensure the correct travel sequence. This lesson helps you develop strategies to solve itinerary reconstruction problems efficiently.

Statement

Given a list of airline tickets where tickets[i] = [fromi, toi] represent a departure airport and an arrival airport of a single flight, reconstruct the itinerary in the correct order and return it.

The person who owns these tickets always starts their journey from "JFK". Therefore, the itinerary must begin with "JFK". If there are multiple valid itineraries, you should prioritize the one with the smallest lexical ordeLexicographical order is a sorting arrangement similar to how words are arranged in a dictionary. It compares items character by character, based on their order in the alphabet or numerical value.r when considering a single string.

  • For example, the itinerary ["JFK", "EDU"] has a smaller lexical order than ["JFK", "EDX"].

Note: You may assume all tickets form at least one valid itinerary. You must use all the tickets exactly once.

Constraints:

  • 11 \leq tickets.length 300\leq 300

  • tickets[i].length =2= 2

  • fromi ...