POJ 3259 Wormholes
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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 toF (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 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 fromS to E that also moves the traveler back T seconds.
23 3 11 2 21 3 42 3 13 1 33 2 11 2 32 3 43 1 8
NOYES
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.
#include<iostream>#include<cstdio>#include<cstring>using namespace std;struct node{ int u,v,w;} eage[6000];const int INF=0x3f3f3f3f;int dis[6000];int num;int n,m,w;void Add(int s,int e,int t){ num++; eage[num].u=s; eage[num].v=e; eage[num].w=t;}int Bellman()//该算法用于图中有负权值的题目{ int i,j; int flag; for(i=0; i<=n; i++) { dis[i]=INF; } dis[1]=0; flag=0; for(i=1; i<=n; i++) { for(j=1; j<=num; j++) { if(dis[eage[j].v]>dis[eage[j].u]+eage[j].w) { dis[eage[j].v]=dis[eage[j].u]+eage[j].w; } } } for(i=1; i<=num; i++) { if(dis[eage[i].v]>dis[eage[i].u]+eage[i].w) return 1; } return 0;}int main(){ int t; while(~scanf("%d",&t)) { while(t--) { scanf("%d%d%d",&n,&m,&w); num=0; while(m--) { int s,e,t; scanf("%d%d%d",&s,&e,&t); Add(s,e,t); Add(e,s,t); } while(w--) { int s,e,t; scanf("%d%d%d",&s,&e,&t); Add(s,e,-t); } if(Bellman())printf("YES\n"); else printf("NO\n"); } } return 0;}
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