332. Reconstruct Itinerary**
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Given a list of airline tickets represented by pairs of departure and arrival airports [from, to]
, reconstruct the itinerary in order. All of the tickets belong to a man who departs from JFK
. Thus, the itinerary must begin with JFK
.
Note:
- If there are multiple valid itineraries, you should 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"]
. - All airports are represented by three capital letters (IATA code).
- You may assume all tickets form at least one valid itinerary.
Example 1:tickets
= [["MUC", "LHR"], ["JFK", "MUC"], ["SFO", "SJC"], ["LHR", "SFO"]]
Return ["JFK", "MUC", "LHR", "SFO", "SJC"]
.
Example 2:tickets
= [["JFK","SFO"],["JFK","ATL"],["SFO","ATL"],["ATL","JFK"],["ATL","SFO"]]
Return ["JFK","ATL","JFK","SFO","ATL","SFO"]
.
Another possible reconstruction is ["JFK","SFO","ATL","JFK","ATL","SFO"]
. But it is larger in lexical order.
public class Solution { public List<String> findItinerary(String[][] tickets) { for (String[] ticket : tickets) targets.computeIfAbsent(ticket[0], k -> new PriorityQueue()).add(ticket[1]); visit("JFK"); return route; } Map<String, PriorityQueue<String>> targets = new HashMap<>(); List<String> route = new LinkedList(); void visit(String airport) { while(targets.containsKey(airport) && !targets.get(airport).isEmpty()) visit(targets.get(airport).poll()); route.add(0, airport); }}总结:priorityqueue实现小顶堆
public List<String> findItinerary(String[][] tickets) { Map<String, PriorityQueue<String>> targets = new HashMap<>(); for (String[] ticket : tickets) targets.computeIfAbsent(ticket[0], k -> new PriorityQueue()).add(ticket[1]); List<String> route = new LinkedList(); Stack<String> stack = new Stack<>(); stack.push("JFK"); while (!stack.empty()) { while (targets.containsKey(stack.peek()) && !targets.get(stack.peek()).isEmpty()) stack.push(targets.get(stack.peek()).poll()); route.add(0, stack.pop()); } return route;}
Example:
From JFK we first visit JFK -> A -> C -> D -> A. There we're stuck, so we write down A as the end of the route and retreat back to D. There we see the unused ticket to B and follow it: D -> B -> C -> JFK -> D. Then we're stuck again, retreat and write down the airports while doing so: Write down D before the already written A, then JFK before the D, etc. When we're back from our cycle at D, the written route is D -> B -> C -> JFK -> D -> A. Then we retreat further along the original path, prepending C, A and finally JFK to the route, ending up with the route JFK -> A -> C -> D -> B -> C -> JFK -> D -> A.
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