Leetcode 332 Reconstruct itinerary

Source: Internet
Author: User

Topic Connection

https://leetcode.com/problems/reconstruct-itinerary/

Reconstruct itinerarydescription

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 departs from JFK . Thus, the itinerary must begin with JFK .

Note:

    1. If There is multiple valid itineraries, you should return the itinerary that have the smallest lexical order when read as A single string. For example, the itinerary have ["JFK", "LGA"] a smaller lexical order than ["JFK", "LGB"] .
    2. All airports is represented by three capital letters (IATA code).
    3. 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's larger in lexical order.

The main topic: from "JFK" to find a sequence so that all the tickets run out, note that the result requires minimal dictionary order.
Idea: Deep search, note to mark the nodes that have been visited (Recall node restore when backtracking).
PS: Run out of $n$ tickets, of course, need to use a $n+1$ point

Class Solution {public:vector<string> Finditinerary (vector<pair<string, string>> tickets) {V        ector<string> Res;        if (Tickets.empty ()) return res;        for (auto &r:tickets) Mp[r.first].insert ({R.second, false});        Res.push_back ("JFK");        DFS ("JFK", Res, tickets.size ());    return res;        } bool Dfs (string from, vector<string> &res, int n) {if (int) res.size () = = n + 1) return true;            for (Auto R = Mp[from].begin (); R! = Mp[from].end (); ++r) {String temp = (*r). First;            Auto C = mp[from].find ({temp, false});            if (c = = Mp[from].end ()) continue;            Res.push_back (temp);            Mp[from].erase (c);            Mp[from].insert ({temp, true});            if (Dfs (temp, res, n)) return true;            Res.pop_back ();            c = Mp[from].find ({temp, true});            if (c = = Mp[from].end ()) continue;            Mp[from].erase (c); Mp[from].insert ({Temp, false});    } return false; }private:unordered_map<string, multiset<pair<string, bool>>> MP;};

Leetcode 332 Reconstruct itinerary

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