题意:每头牛有想吃的食物和饮料,每头牛最多只能吃一种食物和一种饮料,给出牛的个数,食物和饮料的种类数,每头牛想要的食物和饮料的种类。
刚开始想着把牛放中间,从汇点到食物,食物到牛,牛到饮料,饮料到汇点建图,当时没想清楚就敲了,结果wrong了,后来一想这样建图的话,经过没头牛的流量就不是1了,果断拆点,把每头牛拆成两个点,流量为1
#include<stdio.h> #include<string.h> #define N 500 #define inf 0x3fffffff int dis[N],gap[N],head[N],num,start,end,ans; struct edge { int st,ed,flow,next; }E[N*10]; void addedge(int x,int y,int w) { E[num].st=x;E[num].ed=y;E[num].flow=w;E[num].next=head[x];head[x]=num++; E[num].st=y;E[num].ed=x;E[num].flow=0;E[num].next=head[y];head[y]=num++; } int dfs(int u,int minflow) { if(u==end)return minflow; int i,v,f,min_dis=ans-1,flow=0; for(i=head[u];i!=-1;i=E[i].next) { if(E[i].flow>0) { v=E[i].ed; if(dis[v]+1==dis[u]) { f=dfs(v,E[i].flow>minflow-flow?minflow-flow:E[i].flow); E[i].flow-=f; E[i^1].flow+=f; flow+=f; if(flow==minflow)break; if(dis[start]>=ans)return flow; } min_dis=min_dis>dis[v]?dis[v]:min_dis; } } if(flow==0) { if(--gap[dis[u]]==0) dis[start]=ans; dis[u]=min_dis+1; gap[dis[u]]++; } return flow; } int isap() { int maxflow=0; memset(dis,0,sizeof(dis)); memset(gap,0,sizeof(gap)); gap[0]=ans; while(dis[start]<ans) maxflow+=dfs(start,inf); return maxflow; } int main() { int i,j,n,m,k,x,y; while(scanf("%d%d%d",&n,&m,&k)!=-1) { memset(head,-1,sizeof(head)); num=0;start=0;end=2*n+m+k+1; for(i=1;i<=n;i++) { addedge(i,i+n,1);//拆点 scanf("%d%d",&x,&y); while(x--) { scanf("%d",&j); addedge(2*n+j,i,1); } while(y--) { scanf("%d",&j); addedge(i+n,2*n+m+j,1); } } ans=end+1; for(i=1;i<=m;i++) addedge(start,2*n+i,1); for(i=1;i<=k;i++) addedge(2*n+m+i,end,1); printf("%d\n",isap()); } return 0; }