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  • luogu3381 【模板】最小费用最大流

    每次选代价最小的流增广

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <queue>
    using namespace std;
    struct Edge{
    	int too, nxt, val, cst;
    }edge[100005];
    int n, m, ss, tt, maxFlow, minCost, uu, vv, ww, xx, hea[5005], cnt;
    int dis[5005], pre[5005];
    bool vis[5005];
    const int oo=0x3f3f3f3f;
    queue<int> d;
    void add_edge(int fro, int too, int val, int cst){
    	edge[cnt].nxt = hea[fro];
    	edge[cnt].too = too;
    	edge[cnt].val = val;
    	edge[cnt].cst = cst;
    	hea[fro] = cnt++;
    }
    bool spfa(){
    	memset(dis, 0x3f, sizeof(dis));
    	memset(pre, -1, sizeof(pre));
    	dis[ss] = 0;
    	d.push(ss);
    	vis[ss] = true;
    	while(!d.empty()){
    		int x=d.front();
    		d.pop();
    		vis[x] = false;
    		for(int i=hea[x]; i!=-1; i=edge[i].nxt){
    			int t=edge[i].too;
    			if(dis[t]>dis[x]+edge[i].cst && edge[i].val>0){
    				dis[t] = dis[x] + edge[i].cst;
    				pre[t] = i;
    				if(!vis[t]){
    					vis[t] = true;
    					d.push(t);
    				}
    			}
    		}
    	}
    	return dis[tt]!=oo;
    }
    void mcmf(){
    	while(spfa()){
    		int tmp=oo;
    		for(int i=pre[tt]; i!=-1; i=pre[edge[i^1].too])
    			tmp = min(tmp, edge[i].val);
    		for(int i=pre[tt]; i!=-1; i=pre[edge[i^1].too]){
    			edge[i].val -= tmp;
    			edge[i^1].val += tmp;
    			minCost += edge[i].cst * tmp;
    		}
    		maxFlow += tmp;
    	}
    }
    int main(){
    	cin>>n>>m>>ss>>tt;
    	memset(hea, -1, sizeof(hea));
    	for(int i=1; i<=m; i++){
    		scanf("%d %d %d %d", &uu, &vv, &ww, &xx);
    		add_edge(uu, vv, ww, xx);
    		add_edge(vv, uu, 0, -xx);
    	}
    	mcmf();
    	cout<<maxFlow<<" "<<minCost<<endl;
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/poorpool/p/8082170.html
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