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POJ 3259 Wormholes(spfa判负环)

时间:2015-08-19 12:39:37      阅读:99      评论:0      收藏:0      [点我收藏+]

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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.
 
 1 #include<cstdio>
 2 #include<queue>
 3 #include<cstring>
 4 #include<algorithm>
 5 using namespace std;
 6 
 7 const int maxn=550;
 8 const int maxm=2555;
 9 const int inf=0x3f3f3f3f;
10 int G[maxn][maxn];
11 bool vis[maxn];
12 int used[maxn];
13 int d[maxn];
14 int cnt;
15 int m,n1,n2;
16 
17 bool spfa(int s)
18 {
19     queue<int>q;
20     memset(vis,0,sizeof(vis));
21     memset(d,inf,sizeof(d));
22     memset(used,0,sizeof(used));
23     d[s]=0;
24     q.push(s);
25     vis[s]=1;
26     used[s]++;
27     while(!q.empty())
28     {
29         int u=q.front();
30         q.pop();
31         vis[u]=0;
32         for(int i=1;i<=m;i++)
33         {
34             if(d[i]>d[u]+G[u][i])
35             {
36                 d[i]=d[u]+G[u][i];
37                 if(!vis[i])
38                 {
39                     if(used[i]>=maxn)
40                     return true;
41                     q.push(i);
42                     vis[i]=1;
43                     used[i]++;
44                 }
45             }
46         }
47     }
48     return false;
49 }
50 
51 int main()
52 {
53     int t,u,v,w;
54     scanf("%d",&t);
55     while(t--)
56     {
57         memset(G,inf,sizeof(G));
58         scanf("%d%d%d",&m,&n1,&n2);
59         for(int i=0;i<n1;i++)
60         {
61             scanf("%d%d%d",&u,&v,&w);
62             G[u][v]=G[v][u]=min(G[u][v],w);
63         }
64         for(int i=0;i<n2;i++)
65         {
66             scanf("%d%d%d",&u,&v,&w);
67             G[u][v]=min(G[u][v],-w);
68         }
69         int ans=spfa(1);
70         if(ans)
71         printf("YES\n");
72         else
73         printf("NO\n");
74     }
75     return 0;
76 }

 

POJ 3259 Wormholes(spfa判负环)

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原文地址:http://www.cnblogs.com/homura/p/4741624.html

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