HDU 3879 Base Station(最大权闭合子图)

将第i个用户和他需要的基站连边，转化成求二分图的最大权闭合子图。

答案=正权点之和-最小割。

# include <cstdio>
# include <cstring>
# include <cstdlib>
# include <iostream>
# include <vector>
# include <queue>
# include <stack>
# include <map>
# include <set>
# include <cmath>
# include <algorithm>
using namespace std;
# define lowbit(x) ((x)&(-x))
# define pi 3.1415926535
# define eps 1e-
# define MOD
# define INF
# define mem(a,b) memset(a,b,sizeof(a))
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
# define FO(i,a,n) for(int i=a; i<n; ++i)
# define bug puts("H");
# define lch p<<,l,mid
# define rch p<<|,mid+,r
# define mp make_pair
# define pb push_back
typedef pair<int,int> PII;
typedef vector<int> VI;
# pragma comment(linker, "/STACK:1024000000,1024000000")
typedef long long LL;
int Scan() {
    int res=, flag=;
    char ch;
    if((ch=getchar())=='-') flag=;
    else if(ch>=''&&ch<='') res=ch-'';
    while((ch=getchar())>=''&&ch<='')  res=res*+(ch-'');
    return flag?-res:res;
}
void Out(int a) {
    if(a<) {putchar('-'); a=-a;}
    if(a>=) Out(a/);
    putchar(a%+'');
}
const int N=;
//Code begin...

struct Edge{int p, next, w;}edge[];
int head[N], cnt=, s, t, vis[N];
queue<int>Q;

void add_edge(int u, int v, int w){
    edge[cnt].p=v; edge[cnt].w=w; edge[cnt].next=head[u]; head[u]=cnt++;
    edge[cnt].p=u; edge[cnt].w=; edge[cnt].next=head[v]; head[v]=cnt++;
}
int bfs(){
    int i, v;
    mem(vis,-);
    vis[s]=; Q.push(s);
    while (!Q.empty()) {
        v=Q.front(); Q.pop();
        for (i=head[v]; i; i=edge[i].next) {
            if (edge[i].w> && vis[edge[i].p]==-) {
                vis[edge[i].p]=vis[v] + ;
                Q.push(edge[i].p);
            }
        }
    }
    return vis[t]!=-;
}
int dfs(int x, int low){
    int i, a, temp=low;
    if (x==t) return low;
    for (i=head[x]; i; i=edge[i].next) {
        if (edge[i].w> && vis[edge[i].p]==vis[x]+){
            a=dfs(edge[i].p,min(edge[i].w,temp));
            temp-=a; edge[i].w-=a; edge[i^].w += a;
            if (temp==) break;
        }
    }
    if (temp==low) vis[x]=-;
    return low-temp;
}
int main ()
{
    int n, m, u, v, tmp;
    while (~scanf("%d%d",&n,&m)) {
        s=, t=n+m+;
        int res=, sum=;
        mem(head,); cnt=;
        FOR(i,,n) scanf("%d",&tmp), add_edge(m+i,t,tmp);
        FOR(i,,m) {
            scanf("%d%d%d",&u,&v,&tmp); res+=tmp;
            add_edge(s,i,tmp); add_edge(i,m+u,INF); add_edge(i,m+v,INF);
        }
        while (bfs()) while (tmp=dfs(s,INF)) sum+=tmp;
        printf("%d\n",res-sum);
    }
    return ;
}