求最少的路径数目覆盖DAG每个点(无点交集
#include<iostream> #include<algorithm> #include <queue> using namespace std ; const int N=500,M=5e5+5; const int inf =1e9+7; int all=1,hd[N],go[M],w[M],nxt[M]; int S,T,n,m; int dis[M],now[M]; void add_(int x,int y,int z){ nxt[++all]=hd[x]; hd[x]=all; go[all]=y; w[all]=z; swap(x,y); nxt[++all]=hd[x]; hd[x]=all; go[all]=y; w[all]=0; } bool bfs(){ for(int i=0;i<M;i++)dis[i]=inf; queue<int> q; q.push(S); now[S]=hd[S]; dis[S]=0; while(q.empty()==0){ int x=q.front(); q.pop(); for(int i=hd[x];i;i=nxt[i]){ int y=go[i]; if(w[i]>0&&dis[y]==inf){ dis[y]=dis[x]+1; now[y]=hd[y]; q.push(y); if(y==T) return 1; } } } return 0; } int dfs(int x,int sum){ if(x==T) return sum; int k,res=0; for(int i=now[x];i&& sum ;i=nxt[i]){ now[x]=i; int y=go[i]; if(w[i]>0&&(dis[y]==dis[x]+1)){ k=dfs(y,min(sum,w[i])); if(k==0) dis[y]=inf; w[i]-=k; w[i^1]+=k; res+=k; sum-=k; } } return res; } void print(int x){ cout<<x<<' '; for(int i=hd[x];i;i=nxt[i]){ int y=go[i]; if(y>n&&w[i]==0) print(y-n); } } int Fa[N]; int find(int x){ return x==Fa[x]?x:Fa[x]=find(Fa[x]); } signed main(){ int i,x,y; cin>>n>>m;S=0,T=2*n+1; for(i=1;i<=m;i++){ cin>>x>>y; add_(x,y+n,1) ; } for(i=1;i<=n;i++) add_(S,i,1); for(i=1;i<=n;i++) add_(i+n,T,1); int ans=0; while(bfs()) ans+=dfs(S,inf); for(i=1;i<=2*n;i++) Fa[i]=i; for(i=1;i<=n;i++) for(int j=hd[i];j;j=nxt[j]){ y=go[j]; if(y>n&&y<T&&w[j]==0) Fa[find(y-n)]=find(i); } for(i=1;i<=n;i++) if(find(i)==i) print(i),cout<<endl; cout<<n-ans<<endl; }
标签:return,int,sum,路径,最小,P2764,go,hd,dis From: https://www.cnblogs.com/towboa/p/17245510.html