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POJ-3259 Wormholes(判断负环、模板)

时间:2015-07-28 10:23:46      阅读:707      评论:0      收藏:0      [点我收藏+]

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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


题目大意:N条双向边,W条单向虫洞,走过每条边花费的时间是正的,走虫洞会让时间倒流,每条边和虫洞的花费已知,问小明从起点开始转一圈再回到起点的时间,能不能是在出发之前。
题目解析:用bellman_ford算法,判断是不是存在负环。

代码如下:
技术分享
 1 # include<iostream>
 2 # include<cstdio>
 3 # include<cstring>
 4 # include<algorithm>
 5 using namespace std;
 6 const int INF=1<<29;
 7 struct edge
 8 {
 9     int fr,to,w,nxt;
10 };
11 edge e[8000];
12 int head[550],n,cnt,dis[550];
13 void add(int u,int v,int w)
14 {
15     e[cnt].fr=u;
16     e[cnt].to=v;
17     e[cnt].w=w;
18     //e[cnt].nxt=head[u];
19     //head[u]=cnt++;
20     ++cnt;
21 }
22 bool bellman_ford()
23 {
24     int i,j;
25     fill(dis,dis+n+1,INF);
26     dis[1]=0;
27     for(i=0;i<n;++i){
28         for(j=0;j<cnt;++j){
29             if(dis[e[j].fr]!=INF&&dis[e[j].to]>dis[e[j].fr]+e[j].w){
30                 dis[e[j].to]=dis[e[j].fr]+e[j].w;
31                 if(i==n-1)
32                     return true;
33             }
34         }
35     }
36     return false;
37 }
38 int main()
39 {
40     int T,s,t;
41     scanf("%d",&T);
42     int a,b,c;
43     while(T--)
44     {
45         cnt=0;
46         memset(head,-1,sizeof(head));
47         scanf("%d%d%d",&n,&s,&t);
48         while(s--)
49         {
50             scanf("%d%d%d",&a,&b,&c);
51             add(a,b,c);
52             add(b,a,c);
53         }
54         while(t--)
55         {
56             scanf("%d%d%d",&a,&b,&c);
57             add(a,b,-c);
58         }
59         if(bellman_ford())
60             printf("YES\n");
61         else
62             printf("NO\n");
63     }
64     return 0;
65 }
View Code

 




POJ-3259 Wormholes(判断负环、模板)

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原文地址:http://www.cnblogs.com/20143605--pcx/p/4681810.html

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