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Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 35103 | Accepted: 12805 |
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
Output
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
Source
题目大意:虫洞问题,现在有n个点,m条边,代表现在可以走的通路,比如从a到b和从b到a需要花费c时间,现在在地上出现了w个虫洞,虫洞的意义就是你从a到b话费的时间是-c(时间倒流,并且虫洞是单向的),现在问你从某个点开始走,能回到从前
解题思路:其实给出了坐标,这个时候就可以构成一张图,然后将回到从前理解为是否会出现负权环,用bellman-ford就可以解出了
#include<stdio.h> #include<string.h> #include<stack> #include<iostream> #include<algorithm> using namespace std; struct node{ int u,v,w; }que[5400]; int n,m,wh; int Count; int inf=999999999; int dis[5000]; bool bellman_ford(){ memset(dis,inf,sizeof(dis)); dis[1]=0; int flag; int a,b,c; for(int i=1;i<n;i++){ flag=0; for(int j=0;j<Count;j++){ a=que[j].u,b=que[j].v,c=que[j].w; if(dis[b]>dis[a]+c){ dis[b]=dis[a]+c; flag=1; } } if(!flag) break; } for(int j=0;j<Count;j++){ a=que[j].u,b=que[j].v,c=que[j].w; if(dis[b]>dis[a]+c) return true;} return false; } int main(){ int t; scanf("%d",&t); while(t--){ Count=0; scanf("%d%d%d",&n,&m,&wh); int t1,t2,t3; for(int i=1;i<=m;i++){ scanf("%d%d%d",&t1,&t2,&t3); que[Count].u=t1; que[Count].v=t2; que[Count].w=t3; Count++; que[Count].u=t2; que[Count].v=t1; que[Count].w=t3; Count++; } for(int i=m+1;i<=m+wh;i++){ scanf("%d%d%d",&t1,&t2,&t3); que[Count].u=t1; que[Count].v=t2; que[Count].w=-t3; Count++; } if(bellman_ford()) printf("YES\n"); else printf("NO\n"); } return 0; }
poj3259 bellman——ford Wormholes解绝负权问题
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原文地址:http://www.cnblogs.com/13224ACMer/p/4634618.html