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  • poj3259(Wormholes)最短路

    Description

    While exploring his many farms, Farmer John has discovered a number of amazing wormholes. A wormhole is very peculiar because it is a one-way path that delivers you to its destination at a time that is BEFORE you entered the wormhole! Each of FJ's farms comprises N (1 ≤ N ≤ 500) fields conveniently numbered 1..NM (1 ≤ M ≤ 2500) paths, and W (1 ≤ W ≤ 200) wormholes.

    As FJ is an avid time-traveling fan, he wants to do the following: start at some field, travel through some paths and wormholes, and return to the starting field a time before his initial departure. Perhaps he will be able to meet himself :) .

    To help FJ find out whether this is possible or not, he will supply you with complete maps to F (1 ≤ F ≤ 5) of his farms. No paths will take longer than 10,000 seconds to travel and no wormhole can bring FJ back in time by more than 10,000 seconds.

    Input

    Line 1: A single integer, FF farm descriptions follow. 
    Line 1 of each farm: Three space-separated integers respectively: NM, and W
    Lines 2.. M+1 of each farm: Three space-separated numbers ( SET) that describe, respectively: a bidirectional path between S and E that requires T seconds to traverse. Two fields might be connected by more than one path. 
    Lines M+2.. MW+1 of each farm: Three space-separated numbers ( SET) that describe, respectively: A one way path from S to E that also moves the traveler back T seconds.

    Output

    Lines 1.. F: For each farm, output "YES" if FJ can achieve his goal, otherwise output "NO" (do not include the quotes).

    Sample Input

    2
    3 3 1
    1 2 2
    1 3 4
    2 3 1
    3 1 3
    3 2 1
    1 2 3
    2 3 4
    3 1 8

    题解:构图,判断图中有没有负环即可,bellman-ford和spfa都可以。坑的是路径是双向的,虫洞是单向的。。。


    #include <iostream>
    #include <sstream>
    #include <fstream>
    #include <string>
    #include <map>
    #include <vector>
    #include <list>
    #include <set>
    #include <stack>
    #include <queue>
    #include <deque>
    #include <algorithm>
    #include <functional>
    #include <iomanip>
    #include <limits>
    #include <new>
    #include <utility>
    #include <iterator>
    #include <cstdio>
    #include <cstdlib>
    #include <cstring>
    #include <cctype>
    #include <cmath>
    #include <ctime>
    using namespace std;
    
    const int INF = 0x3f3f3f3f;
    const int maxn = 510;
    
    struct edge
    {
        int v, d;
    };
    
    vector<edge> G[maxn];
    int vis[maxn], cnt[maxn], d[maxn];
    int n, m, w;
    
    bool spfa(int s)
    {
        queue<int> q;
        memset(vis, 0, sizeof(vis));
        memset(cnt, 0, sizeof(cnt));
        fill(d, d+n, INF);
        d[s] = 0;
        q.push(s);
        while (!q.empty())
        {
            int u = q.front();
            q.pop();
            vis[u] = 0;
            for (int i = 0; i < G[u].size(); ++i)
            {
                int v = G[u][i].v, dis = G[u][i].d;
                if (d[v] > d[u] + dis)
                {
                    d[v] = d[u] + dis;
                    if (!vis[v])
                    {
                        q.push(v);
                        vis[v] = 1;
                        if (++cnt[v] > n)
                            return false;
                    }
                }
            }
        }
        return true;
    }
    
    int main()
    {
        int T;
        cin >> T;
        while (T--)
        {
            cin >> n >> m >> w;
            for (int i = 0; i < n; ++i)
                G[i].clear();
            while (m--)
            {
                int u, v, d;
                scanf("%d%d%d", &u, &v, &d);
                G[u-1].push_back({v-1, d});
                G[v-1].push_back({u-1, d});
            }
            while (w--)
            {
                int u, v, d;
                scanf("%d%d%d", &u, &v, &d);
                G[u-1].push_back({v-1, -d});
            }
            if (spfa(0))
                printf("NO
    ");
            else
                printf("YES
    ");
        }
        return 0;
    }
    


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  • 原文地址:https://www.cnblogs.com/godweiyang/p/12203952.html
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