图论--网络流--最小费用流最大流模板


#include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
#include<vector>
#define INF 1e9
using namespace std;
const int maxn= 1000+10;
 
struct Edge
{
    int from,to,cap,flow,cost;
    Edge(){}
    Edge(int f,int t,int c,int fl,int co):from(f),to(t),cap(c),flow(fl),cost(co){}
};
 
struct MCMF
{
    int n,m,s,t;
    vector<Edge> edges;
    vector<int> G[maxn];
    bool inq[maxn];
    int d[maxn];
    int p[maxn];
    int a[maxn];
 
    void init(int n,int s,int t)
    {
        this->n=n, this->s=s ,this->t=t;
        edges.clear();
        for(int i=0;i<n;++i) G[i].clear();
    }
 
    void AddEdge(int from,int to,int cap,int cost)
    {
        edges.push_back(Edge(from,to,cap,0,cost));
        edges.push_back(Edge(to,from,0,0,-cost));
        m = edges.size();
        G[from].push_back(m-2);
        G[to].push_back(m-1);
    }
 
    bool BellmanFord(int &flow,int &cost)
    {
        for(int i=0;i<n;++i) d[i]=INF;
        memset(inq,0,sizeof(inq));
        queue<int> Q;
        d[s]=0,inq[s]=true,a[s]=INF,p[s]=0;
        Q.push(s);
 
        while(!Q.empty())
        {
            int u=Q.front(); Q.pop();
            inq[u]=false;
 
            for(int i=0;i<G[u].size();++i)
            {
                Edge &e=edges[G[u][i]];
                if(e.cap>e.flow && d[e.to]>d[u]+e.cost)
                {
                    d[e.to] = d[u]+e.cost;
                    p[e.to] = G[u][i];
                    a[e.to]= min(a[u], e.cap-e.flow);
                    if(!inq[e.to]) { inq[e.to]=true; Q.push(e.to); }
                }
            }
        }
        if(d[t]==INF) return false;
        flow += a[t];
        cost += a[t]*d[t];
        int u=t;
        while(u!=s)
        {
            edges[p[u]].flow +=a[t];
            edges[p[u]^1].flow -=a[t];
            u=edges[p[u]].from;
        }
        return true;
    }
 
    int solve()
    {
        int flow=0,cost=0;
        while(BellmanFord(flow,cost));
        return cost;
    }
}MM;
 
int main()
{
    int n,m;
    while(scanf("%d%d",&n,&m)==2)
    {
        int src=0,dst=n+1;
        MM.init(n+2,src,dst);
        MM.AddEdge(src,1,2,0);
        MM.AddEdge(n,dst,2,0);
        while(m--)
        {
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            MM.AddEdge(u,v,1,w);
            //MM.AddEdge(v,u,1,w);
        }
        printf("%d\n",2*MM.solve());
    }
}

 

posted @ 2019-11-03 23:51  风骨散人  阅读(120)  评论(0编辑  收藏  举报