9
30
2010
0

最小费用最大流模板

#include <stdio.h>

#include <iostream>

#include <string.h>

using namespace std;

const int N=40000;

const int MAXE=20000000;

const int inf=1<<30;

int head[N],s,t,cnt,n,m,ans;

int d[N],pre[N];

bool vis[N];

int q[MAXE];

struct Edge

{

    int u,v,c,w,next;

}edge[MAXE];

void addedge(int u,int v,int w,int c)

{

    edge[cnt].u=u;

    edge[cnt].v=v;

    edge[cnt].w=w;

    edge[cnt].c=c;

    edge[cnt].next=head[u];

    head[u]=cnt++;

    edge[cnt].v=u;

    edge[cnt].u=v;

    edge[cnt].w=-w;

    edge[cnt].c=0;

    edge[cnt].next=head[v];

    head[v]=cnt++;

}

int SPFA()

{

    int l,r;

    memset(pre,-1,sizeof(pre));

    memset(vis,0,sizeof(vis));

    for(int i=0;i<=t;i++) d[i]=inf;

    d[s]=0;

    l=0;r=0;

    q[r++]=s;

    vis[s]=1;

    while(l<r)

    {

        int u=q[l++];

        vis[u]=0;

        for(int j=head[u];j!=-1;j=edge[j].next)

        {

            int v=edge[j].v;

            if(edge[j].c>0&&d[u]+edge[j].w<d[v])

            {

                d[v]=d[u]+edge[j].w;

                pre[v]=j;

                if(!vis[v])

                {

                    vis[v]=1;

                    q[r++]=v;

                }

            }

        }

    }

    if(d[t]==inf)

        return 0;

    return 1;

}

void MCMF()

{

    int flow=0;

    while(SPFA())

    {

        ans+=d[t];

        int u=t;

        int mini=inf;

        while(u!=s)

        {

            if(edge[pre[u]].c<mini)

                mini=edge[pre[u]].c;

                u=edge[pre[u]].u;

        }

        flow+=mini;

        u=t;

        while(u!=s)

        {

            edge[pre[u]].c-=mini;

            edge[pre[u]^1].c+=mini;

            u=edge[pre[u]].u;

        }

    }

}

int main()

{

    while(scanf("%d%d",&n,&m)!=EOF)

    {

        s=0;t=n+1;cnt=0;

        for(int i=0;i<=t;i++)

            head[i]=-1;

        for(int i=1;i<=m;i++)

        {

            int u,v,cost;

            scanf("%d%d%d",&u,&v,&cost);

            addedge(u,v,cost,1);

            addedge(v,u,cost,1);

        }

        addedge(0,1,0,2);

        addedge(n,t,0,2);

        ans=0;

        MCMF();

        printf("%d\n",ans);

    }

    return 0;

}

Category: ACM | Tags: | Read Count: 3780

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