• POJ--3529--Wormholes


    Wormholes
    Time Limit: 2000MS   Memory Limit: 65536K
    Total Submissions: 36889   Accepted: 13520

    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..M+W+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

    Sample Output

    NO
    YES

    题意:就是给N组測试数据,给你N个点M条无向边,再给你W个虫洞(能够使时间倒流)。问你能不能看到刚出发时的自己。(就是推断存不存在负环)。

    思路:套上SPFA公式然后推断负环就能够了。

    #include<stdio.h>//好坑,wa了半天没过去,竟然是由于大写和小写问题。整个人都不好了。 
    #include<string.h>
    #include<queue>
    #define INF 0x3f3f3f3f
    #define M 3000*2
    #define N 550
    using namespace std;
    int n,m,w,dis[N],vis[N],used[N],head[N],edgenum;
    struct node{
    	int from,to,cost,next;
    }edge[M];
    void init(){
    	edgenum=0;
    	memset(head,-1,sizeof(head));
    }
    void add(int u,int v,int cost){
    	node E={u,v,cost,head[u]};
    	edge[edgenum]=E;
    	head[u]=edgenum++;
    }
    void spfa(){
    	queue<int>q;
    	memset(vis,0,sizeof(vis));
    	memset(dis,INF,sizeof(dis));
    	memset(used,0,sizeof(used));
    	dis[1]=0;
    	vis[1]=1;
    	q.push(1);
    	used[1]++;
    	while(!q.empty()){
    		int u=q.front();
    		q.pop();
    		vis[u]=0;
    		for(int i=head[u];i!=-1;i=edge[i].next){
    			int v=edge[i].to;
    			if(dis[v]>dis[u]+edge[i].cost){
    				dis[v]=dis[u]+edge[i].cost;
    				if(!vis[v]){
    					vis[v]=1;
    					used[v]++;
    					if(used[v]>n){
    						printf("YES
    ");//存在负环就意味着时光能够倒流。 
    						return ;
    					}
    					q.push(v);
    				}
    			}
    		}
    	}
    	printf("NO
    ");
    }
    int main(){
    	int T;
    	scanf("%d",&T);
    	while(T--){
    		scanf("%d%d%d",&n,&m,&w);
    		init();
    		while(m--){
    			int a,b,cost;
    			scanf("%d%d%d",&a,&b,&cost);//加入无向边。 
    			add(a,b,cost);
    			add(b,a,cost);
    		}
    		while(w--){
    			int a,b,cost;//加入单向虫洞。

    scanf("%d%d%d",&a,&b,&cost); cost=-cost; add(a,b,cost); } spfa(); } return 0; }


    ac代码:

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  • 原文地址:https://www.cnblogs.com/yangykaifa/p/7279712.html
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