Solution: Reconstruct Itinerary

Explore how to reconstruct a travel itinerary from airline tickets by applying Hierholzer’s algorithm to find Eulerian paths in a graph. Understand the use of depth-first search and lexicographical sorting to build valid itineraries starting from JFK. This lesson helps you implement an efficient solution to a common graph problem often seen in coding interviews.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity

Statement

Given a list of airline tickets where tickets[i] = [from_i, to_i] 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:

$1 \leq$ tickets.length $\leq 300$
tickets[i].length $= 2$
from_i ...