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  • 3259 spfa判断负环(邻接表)

    Wormholes
    Time Limit: 2000MS   Memory Limit: 65536K
    Total Submissions: 44174   Accepted: 16235

    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..N, M (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, F. F farm descriptions follow.
    Line 1 of each farm: Three space-separated integers respectively: N, M, and W
    Lines 2..M+1 of each farm: Three space-separated numbers (S, E, T) 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..M+W+1 of each farm: Three space-separated numbers (S, E, T) 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

    Sample Output

    NO
    YES

    Hint

    For farm 1, FJ cannot travel back in time.
    For farm 2, FJ could travel back in time by the cycle 1->2->3->1, arriving back at his starting location 1 second before he leaves. He could start from anywhere on the cycle to accomplish this.

    题目大意:

    一个农民有农场,上面有一些虫洞和路,走虫洞可以回到 T秒前,而路就和平常的一样啦,需要花费时间走过。问该农民可不可能从某个点出发后回到该点,并且于出发时间之前?

    直接上spfa,看了很多模板,只有这个模板的命名规范些,以后就照这个模板来做吧。

    题目大意:
    一个农民有农场,上面有一些虫洞和路,走虫洞可以回到 T秒前,而路就和平常的一样啦,需要花费时间走过。问该农民可不可能从某个点出发后回到该点,并且于出发时间之前?

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <queue>
    using namespace std;
    const int inf = 0x3f3f3f3f;
    const int maxn = 520 ;
    const int maxm = 5200;
    
    struct edge
    {
        int to;
        int val;
        int next;
    }e[maxm];
    
    int len,head[maxn];
    int dis[maxn];
    int n,m,c;
    
    bool spfa()
    {
        for(int i = 1;i<=n;i++)
            dis[i]=inf;
    
            bool vis[maxn] = {0};
            int cnt[maxn] = {0};
          //因为这里是找环,不是找到某点的最短路径,所以不用初始dis[start]=0;直接从1开始找。
            int cur = 1; //当前点初始化
            queue<int> q;
            q.push(cur);
            vis[cur] = true;
            cnt[cur]=1;
            dis[cur]=0; //以当前点的为始点的最短路径
    
            while(!q.empty())
            {
                cur=q.front();
                q.pop();
                vis[cur]=false;//出队则取消标记
    
                for(int i = head[cur];i!=-1;i=e[i].next)
                {
                    int tto = e[i].to;
                    if(  dis[tto]>dis[cur]+e[i].val )
                    {
                        dis[tto] = dis[cur]+e[i].val;
                        if(!vis[tto]){
                            cnt[tto]++;
                            vis[tto]=true;
                            q.push(tto);//新点进队
                            if(cnt[cur]>n)
                                return true;//如果进队超过n次,则存在负环
                        }
                }
            }
        }
            return false;
    }
    
    void add(int from,int to,int val){
         e[len].to=to;
         e[len].val=val;
         e[len].next=head[from];
         head[from]=len++;
         }
    
    int main(){
        int T;
        scanf("%d",&T);
        while(T--){
            memset(head,-1,sizeof(head));
            len=0;
    
            scanf("%d%d%d",&n,&m,&c);
    
            for(int i = 0;i<m;i++){
                int from,to,val;
            scanf("%d%d%d",&from,&to,&val);
            add(from,to,val);
            add(to,from,val);
        }
    
        for(int i = 0;i<c;i++)
        {
            int from,to,val;
            scanf("%d%d%d",&from,&to,&val);
            add(from,to,-val);
        }
    
        if(spfa())
            printf("YES");
        else
            printf("NO");
            printf("
    ");
        }
        return 0;
        }
    



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  • 原文地址:https://www.cnblogs.com/zhangmingzhao/p/7256753.html
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