POJ-3259-Wormholes(最短路)

127 阅读2分钟

                                                          Wormholes

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

题意描述:

有n个点,m条双向正权边,k条单向负权边,判断从某个点出发后能否再回来,如果有负权回路就能回来

程序代码:

#include<stdio.h>
#include<string.h>
#define inf 99999999
int F();
void add(int u,int v,int w);
struct data{
	int u;
	int v;
	int w;
}a[10010];
int dis[510],n,m,k,q;
int main()
{
	int i,t,u,v,w,count;
    scanf("%d",&t);
    while(t--)
	{
		q=1;
        scanf("%d%d%d",&n,&m,&k);
        while(m--)
		{
            scanf("%d%d%d",&u,&v,&w);
            add(u,v,w);
            add(v,u,w);
        }
        while(k--)
		{
            scanf("%d%d%d",&u,&v,&w);
            add(u,v,-w);
        }
        count=F();
        if(count==0)
        	printf("YES\n");
        else
        	printf("NO\n");
    }
    return 0;
}
int F()
{
	int i,j;
	for(i=1;i<=n;i++)
        dis[i]=inf;
    dis[1]=0;
    for(i=1;i<=n-1;i++)
        for(j=1;j<=q;j++)
            if(dis[a[j].v]>dis[a[j].u]+a[j].w)
                dis[a[j].v]=dis[a[j].u]+a[j].w;
    for(j=1;j<=q;j++)
        if(dis[a[j].v]>dis[a[j].u]+a[j].w)
            return 0;
    return 1;
}
void add(int u,int v,int w)
{
	a[q].u=u;
	a[q].v=v;
	a[q].w=w;
	q++;
}