• 洛谷 [P2763]试题库问题


    非常舒适的最大流

    非常显然的建图方法,然而因为数组开小卡了很长时间

    #include <iostream>
    #include <cstdio>
    #include <algorithm>
    #include <cmath>
    #include <cstring>
    #include <queue>
    using namespace std;
    const int MAXN=2500,MAXM=100005;
    int head[MAXN],dep[MAXN],maxflow,nume,s,term,n,k,m,cur[MAXN];
    struct edge{
    	int to,nxt,cap,flow;
    }e[MAXM];
    void adde(int from,int to,int cap){
    	e[++nume].to=to;
    	e[nume].cap=cap;
    	e[nume].nxt=head[from];
    	head[from]=nume;
    }
    bool bfs(){
    	queue<int> q;
    	memset(dep,0,sizeof(dep));
    	q.push(s);dep[s]=1;
    	while(!q.empty()){
    		int u=q.front();q.pop();
    		for(int i=head[u];i;i=e[i].nxt){
    			int v=e[i].to;
    			if(!dep[v]&&e[i].flow<e[i].cap){
    				dep[v]=dep[u]+1;
    				q.push(v);
    			}
    		}
    	}
    	return dep[term];
    }
    int dfs(int u,int flow){
    	if(u==term) return flow;
    	int tot=0;
    	for(int &i=cur[u];i&&tot<flow;i=e[i].nxt){
    		int v=e[i].to;
    		if(dep[v]==dep[u]+1&&e[i].flow<e[i].cap){
    			if(int t=dfs(v,min(flow-tot,e[i].cap-e[i].flow))){
    				e[i].flow+=t;
    				e[((i-1)^1)+1].flow-=t;
    				tot+=t;
    			}
    		}
    	}
    	return tot;
    }
    void dinic(){
    	while(bfs()){
    		for(int i=s;i<=term;i++) cur[i]=head[i];
    		maxflow+=dfs(s,0x3f3f3f3f);
    	}
    }
    int main(){
    	cin>>k>>n;
    	s=0,term=n+k+1;
    	for(int i=1;i<=k;i++){
    		int t;
    		scanf("%d",&t);
    		m+=t;
    		adde(s,i,t);adde(i,s,0);
    	}
    	for(int i=1;i<=n;i++){
    		int t;
    		scanf("%d",&t);
    		for(int j=1;j<=t;j++){
    			int ttt;
    			scanf("%d",&ttt);
    			adde(ttt,i+k,1);adde(i+k,ttt,0);
    		}
    		adde(i+k,term,1);adde(term,i+k,0);
    	}
    	dinic();
    	//printf("%d %d
    ",m,maxflow);
    	if(m!=maxflow){
    		printf("No Solution!
    ");
    	}else {
    		for(int i=1;i<=k;i++){
    			printf("%d: ",i);
    			for(int j=head[i];j;j=e[j].nxt){
    				if((e[j].flow)&&e[j].to!=s) printf("%d ",e[j].to-k);
    			}
    			printf("
    ");
    		}
    	}
    }
    
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  • 原文地址:https://www.cnblogs.com/Mr-WolframsMgcBox/p/8342993.html
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