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| 1 | +package leetcode; |
| 2 | + |
| 3 | +import java.util.*; |
| 4 | + |
| 5 | +/** |
| 6 | + * Project Name : Leetcode |
| 7 | + * Package Name : leetcode |
| 8 | + * File Name : ReconstructItinerary |
| 9 | + * Creator : Leo |
| 10 | + * Description : 332. Reconstruct Itinerary |
| 11 | + */ |
| 12 | +public class ReconstructItinerary { |
| 13 | + |
| 14 | + /** |
| 15 | + * Given a list of airline tickets represented by pairs of departure and arrival airports [from, to], |
| 16 | + * reconstruct the itinerary in order. All of the tickets belong to a man who departs from JFK. |
| 17 | + * Thus, the itinerary must begin with JFK. |
| 18 | +
|
| 19 | + Note: |
| 20 | + If there are multiple valid itineraries, you should return the itinerary that |
| 21 | + has the smallest lexical order when read as a single string. For example, |
| 22 | + the itinerary ["JFK", "LGA"] has a smaller lexical order than ["JFK", "LGB"]. |
| 23 | + All airports are represented by three capital letters (IATA code). |
| 24 | + You may assume all tickets form at least one valid itinerary. |
| 25 | +
|
| 26 | + Example 1: |
| 27 | + tickets = [["MUC", "LHR"], ["JFK", "MUC"], ["SFO", "SJC"], ["LHR", "SFO"]] |
| 28 | + Return ["JFK", "MUC", "LHR", "SFO", "SJC"]. |
| 29 | +
|
| 30 | + Example 2: |
| 31 | + tickets = [["JFK","SFO"],["JFK","ATL"],["SFO","ATL"],["ATL","JFK"],["ATL","SFO"]] |
| 32 | + Return ["JFK","ATL","JFK","SFO","ATL","SFO"]. |
| 33 | +
|
| 34 | + Another possible reconstruction is ["JFK","SFO","ATL","JFK","ATL","SFO"]. |
| 35 | + But it is larger in lexical order. |
| 36 | +
|
| 37 | +
|
| 38 | + DFS(HashMap) + PriorityQueue |
| 39 | +
|
| 40 | + JFK SFO |
| 41 | + | |
| 42 | + ATL |
| 43 | +
|
| 44 | +
|
| 45 | + time : O(nlogn) |
| 46 | + space : O(n) |
| 47 | +
|
| 48 | + */ |
| 49 | + |
| 50 | + HashMap<String, PriorityQueue<String>> map; |
| 51 | + List<String> res; |
| 52 | + |
| 53 | + public List<String> findItinerary(String[][] tickets) { |
| 54 | + map = new HashMap<>(); |
| 55 | + res = new LinkedList<>(); |
| 56 | + for (String[] ticket : tickets) { |
| 57 | + map.computeIfAbsent(ticket[0], k -> new PriorityQueue<>()).add(ticket[1]); |
| 58 | + } |
| 59 | + helper("JFK"); |
| 60 | + return res; |
| 61 | + } |
| 62 | + |
| 63 | + private void helper(String airport) { |
| 64 | + while (map.containsKey(airport) && !map.get(airport).isEmpty()) { |
| 65 | + helper(map.get(airport).poll()); |
| 66 | + } |
| 67 | + res.add(0, airport); |
| 68 | + } |
| 69 | + |
| 70 | + public List<String> findItinerary2(String[][] tickets) { |
| 71 | + HashMap<String, PriorityQueue<String>> map = new HashMap<>(); |
| 72 | + |
| 73 | + for (String[] ticket : tickets) { |
| 74 | + map.computeIfAbsent(ticket[0], k -> new PriorityQueue()).add(ticket[1]); |
| 75 | + } |
| 76 | + |
| 77 | + List<String> res = new LinkedList(); |
| 78 | + Stack<String> stack = new Stack<>(); |
| 79 | + stack.push("JFK"); |
| 80 | + |
| 81 | + while (!stack.empty()) { |
| 82 | + while (map.containsKey(stack.peek()) && !map.get(stack.peek()).isEmpty()) { |
| 83 | + stack.push(map.get(stack.peek()).poll()); |
| 84 | + } |
| 85 | + res.add(0, stack.pop()); |
| 86 | + } |
| 87 | + |
| 88 | + return res; |
| 89 | + } |
| 90 | +} |
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