Reconstruct Itinerary

You are given a list of airline tickets where tickets[i] = [fromi, toi] represents the departure and arrival airports of one flight. Reconstruct the itinerary in order and return it.

All of the tickets belong to a man who departs from "JFK", so the itinerary must begin with "JFK". If there are multiple valid itineraries, return the itinerary that has the smallest lexical order when read as a single string.

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

You may assume all tickets form at least one valid itinerary. You must use all tickets once and only once.

Example 1
Inputtickets = [["MUC","LHR"],["JFK","MUC"],["SFO","SJC"],["LHR","SFO"]]
Output["JFK","MUC","LHR","SFO","SJC"]
Starting from JFK and using every ticket once gives the itinerary JFK → MUC → LHR → SFO → SJC.
Example 2
Inputtickets = [["JFK","SFO"],["JFK","ATL"],["SFO","ATL"],["ATL","JFK"],["ATL","SFO"]]
Output["JFK","ATL","JFK","SFO","ATL","SFO"]
Another possible reconstruction is ["JFK","SFO","ATL","JFK","ATL","SFO"], but it is larger in lexical order.

Constraints

  • 1 <= tickets.length <= 300
  • tickets[i].length == 2
  • fromi.length == 3
  • toi.length == 3
  • fromi and toi consist of uppercase English letters.
  • fromi != toi

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