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;
}
posted @ 2017-12-21 19:39  poorpool  阅读(108)  评论(3编辑  收藏  举报