POJ 3259 Wormholes spfa
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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.
思路 把虫洞的权值设为负值,判断是否存在负圈
#include<cstdio>#include<cstring>#include<queue>#include<algorithm>using namespace std;const int inf=0x3f3f3f3f;const int M=6000;const int N=510;struct sg{ int l,r; int cost; int next;}ev[M];int t;int n,m,w;int dis[N];int vis[N];int cmp;int head[M];int cnt[M];//前向星优化 http://www.layz.net/LAOJ/suanfa/s9-4.htmlvoid fuzhi(int a,int b,int c){ ev[cmp].l=a; ev[cmp].r=b;//记录后继节点 相当于链表中的创建一个节点,并使得数据域先记录 ev[cmp].cost=c; ev[cmp].next=head[a];//记录顶点节点的某一个边表节点的下标, //相当于在链表中吧该边表节点的next指针先指向他的后继边表节点 head[a]=cmp++;}bool spfa(int st){ queue<int>q; for(int i=0;i<=n;i++) { dis[i]=inf; } memset(vis,0,sizeof(vis)); memset(cnt,0,sizeof(cnt)); dis[st]=0; q.push(st); vis[st]=1; cnt[st]++; while(q.size()) { int now=q.front(); q.pop(); vis[now]=0; if(cnt[now]>=n) return false; for(int i=head[now];i!=-1;i=ev[i].next) { int nex=ev[i].r; if(dis[nex]>dis[now]+ev[i].cost) { dis[nex]=dis[now]+ev[i].cost; if(!vis[nex]) { vis[nex]=1; cnt[nex]++; if(!q.empty()&&dis[nex]<dis[q.front()]) { q.push(nex); } else { q.push(nex); } } } } } return true;}int main(){ scanf("%d",&t); while(t--) { cmp=0; int a,b,c; memset(head,-1,sizeof(head)); scanf("%d%d%d",&n,&m,&w); for(int i=0;i<m;i++) { scanf("%d%d%d",&a,&b,&c); fuzhi(a,b,c); fuzhi(b,a,c); } for(int i=0;i<w;i++) { scanf("%d%d%d",&a,&b,&c); fuzhi(a,b,0-c); } if(spfa(1)) printf("NO\n"); else printf("YES\n"); } return 0;}
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