Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 36889 | Accepted: 13520 |
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 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
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
题意:就是给N组測试数据,给你N个点M条无向边,再给你W个虫洞(能够使时间倒流)。问你能不能看到刚出发时的自己。(就是推断存不存在负环)。
思路:套上SPFA公式然后推断负环就能够了。
#include<stdio.h>//好坑,wa了半天没过去,竟然是由于大写和小写问题。整个人都不好了。 #include<string.h> #include<queue> #define INF 0x3f3f3f3f #define M 3000*2 #define N 550 using namespace std; int n,m,w,dis[N],vis[N],used[N],head[N],edgenum; struct node{ int from,to,cost,next; }edge[M]; void init(){ edgenum=0; memset(head,-1,sizeof(head)); } void add(int u,int v,int cost){ node E={u,v,cost,head[u]}; edge[edgenum]=E; head[u]=edgenum++; } void spfa(){ queue<int>q; memset(vis,0,sizeof(vis)); memset(dis,INF,sizeof(dis)); memset(used,0,sizeof(used)); dis[1]=0; vis[1]=1; q.push(1); used[1]++; while(!q.empty()){ int u=q.front(); q.pop(); vis[u]=0; for(int i=head[u];i!=-1;i=edge[i].next){ int v=edge[i].to; if(dis[v]>dis[u]+edge[i].cost){ dis[v]=dis[u]+edge[i].cost; if(!vis[v]){ vis[v]=1; used[v]++; if(used[v]>n){ printf("YES ");//存在负环就意味着时光能够倒流。 return ; } q.push(v); } } } } printf("NO "); } int main(){ int T; scanf("%d",&T); while(T--){ scanf("%d%d%d",&n,&m,&w); init(); while(m--){ int a,b,cost; scanf("%d%d%d",&a,&b,&cost);//加入无向边。 add(a,b,cost); add(b,a,cost); } while(w--){ int a,b,cost;//加入单向虫洞。scanf("%d%d%d",&a,&b,&cost); cost=-cost; add(a,b,cost); } spfa(); } return 0; }
ac代码: