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poj3259-Wormholes(Bellman-Ford 最短路)

                                                                                           Wormholes
Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 32109 Accepted: 11660

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

23 3 11 2 21 3 42 3 13 1 33 2 11 2 32 3 43 1 8

Sample Output

NOYES

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
 
题意: John的农场里N块地,M条路连接两块地,W个虫洞,虫洞是一条单向路,会在你离开之前把你传送到目的地,就是当你过去的时候时间会倒退Ts。我们的任务是知道会不会在从某块地出发后又回来,看到了离开之前的自己。简化下,就是看图中有没有负权环。有的话就是可以,没有的话就是不可以了。
 
       这道题的题意不好懂,主要难理解的是:
        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.   一个是双向边
        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.  一个是单向边,而且单向边为负值。
 
 1 #include<stdio.h> 2 #include<string.h> 3 #include<stdlib.h> 4  5 const int VM=520; 6 const int EM=5020; 7 const int INF=0x3f3f3f3f; 8  9 struct Edge{10     int u,v;11     int c;12 }edge[EM<<1];13 14 int n, m, w, cnt, dis[VM];15 16 17     void add(int u, int v, int c)18     {19         edge[cnt].u = u;20         edge[cnt].v = v;21         edge[cnt].c = c;22         cnt++;23     }24     int Bellman()25     {26         int i, j, k, flag;27         for(i=0; i<n; i++)28             dis[i] = INF;29         for(i=1; i<n; i++)30         {31             flag = 0;32             for(j=0; j<cnt; j++)33             {34                 if(dis[edge[j].v] > dis[edge[j].u] + edge[j].c)35                 {36                     dis[edge[j].v] = dis[edge[j].u] + edge[j].c;37                     flag = 1;38                 }39             }40             if(!flag) break;41         }42         for(k=0; k<cnt; k++)43             if(dis[edge[k].v] > dis[edge[k].u] + edge[k].c)44                 return 1;45         return 0;46 47     }48     int main()49     {50         int T, i;51         scanf("%d", &T);52         while(T--)53         {54             int x, y, z;55             cnt = 0;56             scanf("%d%d%d", &n, &m, &w);57             for(i=0; i<m; i++)58             {59                 scanf("%d%d%d", &x, &y, &z);60                 add(x, y, z);//加边61                 add(y, x, z);62             }63             for(i=0; i<w; i++)64             {65                 scanf("%d%d%d", &x, &y, &z);66                 add(x, y, -z);//注意这里是-z67             }68             if(Bellman())69                 printf("YES\n");70             else printf("NO\n");71         }72         return 0;73     }

 

 
 
  

poj3259-Wormholes(Bellman-Ford 最短路)