这个题属于套汇问题,其实就是求一个图中是否存在环,比较简单,用spfa判断即可
代码:
#include<cstdio> #include<cstring> #include<iostream> #include<queue> using namespace std; const int maxn=210; const int maxm=102; int e,n,m,s,head[maxm],pnt[maxn],nxt[maxn],cnt[maxm]; double v,cost[maxn],com[maxn],dist[maxm]; bool vis[maxm]; queue<int> q; void AddEdge(int u,int v,double rate,double c) { pnt[e]=v;nxt[e]=head[u];cost[e]=rate;com[e]=c;head[u]=e++; } bool Spfa(int st,double val) { memset(dist,0,sizeof(dist)); memset(vis,0,sizeof(vis)); memset(cnt,0,sizeof(cnt)); while(!q.empty()) q.pop(); dist[st]=val; cnt[st]=1; q.push(st); while(!q.empty()) { int u=q.front(); q.pop(); vis[u]=0; for(int i=head[u];i!=-1;i=nxt[i]) { int v=pnt[i]; if(dist[v]<(dist[u]-com[i])*cost[i]) { dist[v]=(dist[u]-com[i])*cost[i]; if(!vis[v]) { vis[v]=1; q.push(v); if(++cnt[v]>n) return true; } } } } return false; } int main() { while(scanf("%d%d%d%lf",&n,&m,&s,&v)!=EOF) { memset(head,-1,sizeof(head)); e=0; for(int i=0;i<m;i++) { int u,v; double x1,y1,x2,y2; scanf("%d%d%lf%lf%lf%lf",&u,&v,&x1,&y1,&x2,&y2); AddEdge(u,v,x1,y1); AddEdge(v,u,x2,y2); } if(Spfa(s,v)) printf("YES\n"); else printf("NO\n"); } return 0; }