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  • luogu3376 【模板】网络最大流 dinic

    当前弧优化

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <queue>
    using namespace std;
    int n, m, ss, tt, hea[10005], cnt, uu, vv, ww, maxFlow, cur[10005];
    int lev[10005];
    const int oo=0x3f3f3f3f;
    queue<int> d;
    struct Edge{
    	int too, nxt, val;
    }edge[200005];
    void add_edge(int fro, int too, int val){
    	edge[cnt].nxt = hea[fro];
    	edge[cnt].too = too;
    	edge[cnt].val = val;
    	hea[fro] = cnt++;
    }
    void addEdge(int fro, int too, int val){
    	add_edge(fro, too, val);
    	add_edge(too, fro, 0);
    }
    bool bfs(){
    	memset(lev, 0, sizeof(lev));
    	lev[ss] = 1;
    	d.push(ss);
    	while(!d.empty()){
    		int x=d.front();
    		d.pop();
    		for(int i=hea[x]; i!=-1; i=edge[i].nxt){
    			int t=edge[i].too;
    			if(!lev[t] && edge[i].val>0){
    				lev[t] = lev[x] + 1;
    				d.push(t);
    			}
    		}
    	}
    	return lev[tt]!=0;
    }
    int dfs(int x, int lim){
    	if(x==tt)	return lim;
    	int addFlow=0;
    	for(int &i=cur[x]; i!=-1; i=edge[i].nxt){
    		int t=edge[i].too;
    		if(lev[t]==lev[x]+1 && edge[i].val>0){
    			int tmp=dfs(t, min(lim-addFlow, edge[i].val));
    			edge[i].val -= tmp;
    			edge[i^1].val += tmp;
    			addFlow += tmp;
    			if(addFlow==lim)	break;
    		}
    	}
    	return addFlow;
    }
    void dinic(){
    	while(bfs()){
    		for(int i=1; i<=n; i++)	cur[i] = hea[i];
    		maxFlow += dfs(ss, oo);
    	}
    }
    int main(){
    	memset(hea, -1, sizeof(hea));
    	cin>>n>>m>>ss>>tt;
    	for(int i=1; i<=m; i++){
    		scanf("%d %d %d", &uu, &vv, &ww);
    		addEdge(uu, vv, ww);
    	}
    	dinic();
    	cout<<maxFlow<<endl;
    	return 0;
    }
    

    裸dinic

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <queue>
    using namespace std;
    struct Edge{
    	int too, nxt, val;
    }edge[200005];
    int n, m, uu, vv, ww, cnt=0, maxFlow, hea[10005], ss, tt, lev[10005];
    const int oo=0x3f3f3f3f;
    queue<int> d;
    void add_edge(int fro, int too, int val){
    	edge[cnt].nxt = hea[fro];
    	edge[cnt].too = too;
    	edge[cnt].val = val;
    	hea[fro] = cnt++;
    }
    bool bfs(){
    	memset(lev, 0, sizeof(lev));
    	lev[ss] = 1;
    	d.push(ss);
    	while(!d.empty()){
    		int x=d.front();
    		d.pop();
    		for(int i=hea[x]; i!=-1; i=edge[i].nxt){
    			int t=edge[i].too;
    			if(!lev[t] && edge[i].val>0){
    				lev[t] = lev[x] + 1;
    				d.push(t);
    			}
    		}
    	}
    	return lev[tt]!=0;
    }
    int dfs(int x, int lim){
    	if(x==tt)	return lim;
    	int addFlow=0;
    	for(int i=hea[x]; i!=-1 && addFlow<lim; i=edge[i].nxt){
    		int t=edge[i].too;
    		if(lev[t]==lev[x]+1 && edge[i].val>0){
    			int tmp=dfs(t, min(lim-addFlow, edge[i].val));
    			edge[i].val -= tmp;
    			edge[i^1].val += tmp;
    			addFlow += tmp;
    		}
    	}
    	return addFlow;
    }
    int main(){
    	cin>>n>>m>>ss>>tt;
    	memset(hea, -1, sizeof(hea));
    	for(int i=1; i<=m; i++){
    		scanf("%d %d %d", &uu, &vv, &ww);
    		add_edge(uu, vv, ww);
    		add_edge(vv, uu, 0);
    	}
    	while(bfs())	maxFlow += dfs(ss, oo);
    	cout<<maxFlow<<endl;
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/poorpool/p/8075461.html
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