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

输入样例数，然后输入三个数“点数，双向边数，单向边数”然后分别输入双向边，单向边(权是负的)。问图中有没有负圈

解题思路

陷阱1：用algorithm中min函数会超时，手写一个就可以过了

陷阱2：题目中有负圈，在输入边的时候要判断一下，保存最小的边

代码

#include <stdio.h>
const int INF = 10000000;
const int maxn = 510;
int eg[maxn][maxn];
int n;
int main()
{
    int t;
    scanf("%d",&t);
    while(t--) {
        for(int i = 0 ; i < maxn ; i ++) {
            for(int j = 0 ; j < maxn ; j ++) {
                eg[i][j] = INF;
            }
        }
        int e1,e2;
        scanf("%d%d%d",&n,&e1,&e2);
        while(e1--) {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            if(eg[a][b] < c) continue;
            eg[a][b] = c;
            eg[b][a] = c;
        }
        while(e2--) {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            eg[a][b] = -c;
        }
        int isthere = 0;
        for(int k = 1 ; k <= n ; k ++) {
            for(int i = 1 ; i <= n ; i ++) {
                for(int j = 1 ; j <= n ; j ++) {
                    if(eg[i][k]+eg[k][j] < eg[i][j]) eg[i][j] = eg[i][k]+eg[k][j];
                }
                if(eg[i][i] < 0) {
                    isthere = 1;
                    break;
                }
            }
            if(isthere) break;
        }
        if(!isthere) printf("NO\n");
        else printf("YES\n");
    }
    return 0;
}