noi2006day2_最大获利 网络流

这道题是上一题的数据加强版,dinic表示毫无压力;

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<string>
 5 #include<cstdlib>
 6 #include<ctime>
 7 #include<algorithm>
 8 using namespace std;
 9 const int maxn=55010;
10 const int inf=1000000000;
11 const int s=0,t=55001;
12 struct node{
13     int y,next,flow,re;
14 }e[maxn*10];
15 int linkk[maxn*3],len=0,n,m,w[maxn],sum=0;
16 void print(int x){printf("%d
",x);}
17 void print(int x,int y){printf("%d %d
",x,y);}
18 void insert(int x,int y,int flow){
19     e[++len].y=y;e[len].flow=flow;
20     e[len].next=linkk[x];linkk[x]=len;e[len].re=len+1;
21     e[++len].y=x;e[len].flow=0;
22     e[len].next=linkk[y];linkk[y]=len;e[len].re=len-1;
23 }
24 void init(){
25     scanf("%d%d",&n,&m);
26     for(int i=1;i<=n;i++)scanf("%d",&w[i]);
27     int x,y,v;
28     for(int i=1;i<=m;i++){
29         scanf("%d%d%d",&x,&y,&v);sum+=v;
30         insert(s,i,v);insert(i,m+x,inf);insert(i,m+y,inf);
31     }
32     for(int i=1;i<=n;i++)insert(m+i,t,w[i]);
33 }
34 int q[maxn],tail=0,level[maxn],head=0;
35 bool bfs(){
36     memset(level,-1,sizeof(level));
37     head=0;tail=0;level[s]=1;q[++tail]=s;
38     while(++head<=tail){
39         int x=q[head];
40         for(int i=linkk[x];i;i=e[i].next){
41             if(level[e[i].y]==-1&&e[i].flow){
42                 q[++tail]=e[i].y;
43                 level[e[i].y]=level[x]+1;
44             }
45         }
46     }
47     return level[t]>0;
48 }
49 int find(int x,int flow){
50     if(x==t)return flow;
51     int maxflow=0,d=0;
52     for(int i=linkk[x];i&&maxflow<flow;i=e[i].next){
53         if(level[e[i].y]==level[x]+1&&e[i].flow){
54             if(d=find(e[i].y,min(flow-maxflow,e[i].flow))){
55                 maxflow+=d;
56                 e[i].flow-=d;
57                 e[e[i].re].flow+=d;
58             }
59         }
60     }
61     if(!maxflow)level[x]=-1;
62     return maxflow;
63 }
64 void work(){
65     int d=0,ans=0;
66     while(bfs())
67         while(d=find(s,inf))
68             ans+=d;
69     cout<<sum-ans<<endl;
70 }
71 int main(){
72     freopen("1.in","r",stdin);
73     freopen("1.out","w",stdout);
74     init();
75     work();
76 }
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原文地址:https://www.cnblogs.com/chadinblog/p/5861660.html