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

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.

Source

USACO 2006 December Gold 考察bellman-ford的用法，由于写时不注意导致出现细节错误，找了半天，所以写代码时 一定要注意细节问题 题意：有n块田，m条路，w个虫洞，其中m条路是双向的，虫洞是单向的，通过虫洞可以是时间倒流，问能否回到出发以前的时间 即判断是否出现负权图；

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
struct node
{
	int from;
	int to;
	int vis;
}t[11000];
int dis[1100],n,m,w,all;
bool bellman()
{
	bool flag ;
	for(int i=0;i<n-1;i++)
	{
		flag=false;
		for(int j=0;j<all;j++)
			if(dis[t[j].to]>dis[t[j].from]+t[j].vis)
			{
				dis[t[j].to]=dis[t[j].from]+t[j].vis;
			    flag=true;
			}
			if(!flag)
			break;
    }
    for(int k=0;k<all;k++)
    if(dis[t[k].to]>dis[t[k].from]+t[k].vis)
    return true;
    return false;
}
int main()
{
	int F,a,b,c,i;
	scanf("%d",&F);
	while(F--)
	{
	    memset(dis,0,sizeof(dis));
		scanf("%d%d%d",&n,&m,&w);
		
		all=0;
		for(i=0;i<m;i++)
		{
			scanf("%d%d%d",&a,&b,&c);
			t[all].from=a;
			t[all].to=b;
			t[all++].vis=c;
			t[all].from=b;
			t[all].to=a;
			t[all++].vis=c;
		}
		for(i=0;i<w;i++)
		{
			scanf("%d%d%d",&a,&b,&c);
			t[all].from=a;
			t[all].to=b;
			t[all++].vis=-c;//权值为负 
		}
		if(bellman())
		printf("YES\n");
		else
		printf("NO\n");
	}
	return 0;
}