Wormholes POJ 3259【SPFA】
2015-08-20 12:07
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http://poj.org/problem?id=3259DescriptionWhile 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.InputLine 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.OutputLines 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 8Sample Output
NO YES
/*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花费的时间是-c(时间倒流,并且虫洞是单向的),现在问你从某个点开始走,能回到从前其实就是判断是否存在负环 */#include <cstdio>#include <cstring>#include <queue>#define MAXN 550#define MAXM 10000#define INF 0x3f3f3f3fusing namespace std;struct Edge{ int u, v, w; int next;//下一个结构体变量的下标 }edge[MAXM];int head[MAXN];//下标为起点u,值为对应结构体下标 int vis[MAXN];//判断是否加入队列了 int used[MAXN];int num;int N;int low[MAXN];//存最短路径 void Add_Edge(int u, int v, int w)//加边 { Edge E={u, v, w, head[u]};//初始化结构体 edge[num]=E;//直接赋值 head[u]=num++;}bool SPFA(int s){ int i, j; queue<int> Q; memset(low, INF, sizeof(low)); memset(vis, 0, sizeof(vis)); memset(used,0,sizeof(used)); vis[s] = 1; low[s]=0; Q.push(s); used[s]++; while(!Q.empty()) { int u=Q.front(); Q.pop(); vis[u]=0;//出队列了,不在队列就变成0 for(j = head[u]; j != -1; j = edge[j].next) { int v = edge[j].v; if(low[v] > low[u] + edge[j].w) { low[v] = low[u] + edge[j].w; if(!vis[v] ) { vis[v]=1; Q.push(v); used[v]++; if(used[v]>N) return 0; } } } } return 1;}int main(){ int u, v, w; int T; int M, W; scanf("%d",&T); while(T--) { scanf("%d%d%d", &N, &M, &W); memset(head, -1, sizeof(head)); num=0; while(M--) { scanf("%d%d%d", &u, &v, &w); Add_Edge(u, v, w); Add_Edge(v, u, w);//无向边 } while(W--) { scanf("%d%d%d", &u, &v, &w); Add_Edge(u, v, -w); } if(!SPFA(1)) printf("YES\n"); else printf("NO\n"); } return 0;}
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