Solution: Reconstruct Itinerary

Explore how to reconstruct travel itineraries from flight data by applying graph theory and Hierholzer’s algorithm. Understand how to organize flights lexicographically and perform depth-first search starting from JFK. This lesson helps you solve the problem of finding Eulerian paths with a fixed starting point by building a valid itinerary and analyzing time and space complexity of the solution.

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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 ...