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.
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.
Lines 1..F: For each farm, output “YES” if FJ can achieve his goal, otherwise output “NO” (do not include the quotes).
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
NO
YES
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.
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
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
#include
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;
}