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  • BZOJ1834 [ZJOI2010]network 网络扩容(最小费用最大流)

    挺直白的构图。。最小费用最大流的定义。

      1 #include<cstdio>
      2 #include<cstring>
      3 #include<queue>
      4 #include<algorithm>
      5 using namespace std;
      6 #define INF (1<<30)
      7 #define MAXN 11111
      8 #define MAXM 2222222
      9 struct Edge{
     10     int u,v,cap,cost,next;
     11 }edge[MAXM];
     12 int head[MAXN];
     13 int NV,NE,vs,vt;
     14 
     15 void addEdge(int u,int v,int cap,int cost){
     16     edge[NE].u=u; edge[NE].v=v; edge[NE].cap=cap; edge[NE].cost=cost;
     17     edge[NE].next=head[u]; head[u]=NE++;
     18     edge[NE].u=v; edge[NE].v=u; edge[NE].cap=0; edge[NE].cost=-cost;
     19     edge[NE].next=head[v]; head[v]=NE++;
     20 }
     21 bool vis[MAXN];
     22 int d[MAXN],pre[MAXN];
     23 bool SPFA(){
     24     for(int i=0;i<NV;++i){
     25         vis[i]=0;
     26         d[i]=INF;
     27     }
     28     vis[vs]=1;
     29     d[vs]=0;
     30     queue<int> que;
     31     que.push(vs);
     32     while(!que.empty()){
     33         int u=que.front(); que.pop();
     34         for(int i=head[u]; i!=-1; i=edge[i].next){
     35             int v=edge[i].v;
     36             if(edge[i].cap && d[v]>d[u]+edge[i].cost){
     37                 d[v]=d[u]+edge[i].cost;
     38                 pre[v]=i;
     39                 if(!vis[v]){
     40                     vis[v]=1;
     41                     que.push(v);
     42                 }
     43             }
     44         }
     45         vis[u]=0;
     46     }
     47     return d[vt]!=INF;
     48 }
     49 int MCMF(){
     50     int res=0;
     51     while(SPFA()){
     52         int flow=INF,cost=0;
     53         for(int u=vt; u!=vs; u=edge[pre[u]].u){
     54             flow=min(flow,edge[pre[u]].cap);
     55         }
     56         for(int u=vt; u!=vs; u=edge[pre[u]].u){
     57             edge[pre[u]].cap-=flow;
     58             edge[pre[u]^1].cap+=flow;
     59             cost+=flow*edge[pre[u]].cost;
     60         }
     61         res+=cost;
     62     }
     63     return res;
     64 }
     65 int MF(){
     66     int res=0;
     67     while(SPFA()){
     68         int flow=INF,cost=0;
     69         for(int u=vt; u!=vs; u=edge[pre[u]].u){
     70             flow=min(flow,edge[pre[u]].cap);
     71         }
     72         res+=flow;
     73         for(int u=vt; u!=vs; u=edge[pre[u]].u){
     74             edge[pre[u]].cap-=flow;
     75             edge[pre[u]^1].cap+=flow;
     76         }
     77     }
     78     return res;
     79 }
     80 int u[MAXN],v[MAXN],c[MAXN],w[MAXN];
     81 int main(){
     82     int n,m,k;
     83     scanf("%d%d%d",&n,&m,&k);
     84     vs=1; vt=n; NV=vt+1; NE=0;
     85     memset(head,-1,sizeof(head));
     86     for(int i=0; i<m; ++i){
     87         scanf("%d%d%d%d",u+i,v+i,c+i,w+i);
     88         addEdge(u[i],v[i],c[i],1);
     89     }
     90     int mxflow=MF();
     91     printf("%d ",mxflow);
     92     vs=1; vt=0; NV=n+1; NE=0;
     93     memset(head,-1,sizeof(head));
     94     addEdge(n,vt,mxflow+k,0);
     95     for(int i=0; i<m; ++i){
     96         addEdge(u[i],v[i],c[i],0);
     97         addEdge(u[i],v[i],INF,w[i]);
     98     }
     99     printf("%d",MCMF());
    100     return 0;
    101 }
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  • 原文地址:https://www.cnblogs.com/WABoss/p/5325720.html
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