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  • UVA 1660

    题目链接:https://onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&category=0&problem=4535&mosmsg=Submission+received+with+ID+26565007

    点的容量问题可以用拆点解决,于是将每个点拆成两个点,连容量为 (1) 的边,原来的边容量为无穷大,

    表示只能割点,割点的代价为 (1),枚举点对,其中使得点对不连通的最小割的最小值即为答案

    特殊情况:当点对之间两两都有边时,最小割为无穷大,此时的点连通度为 (n)

    #include<bits/stdc++.h>
    using namespace std;
    typedef long long ll;
    
    const int maxn = 510;
    const int INF = 1000000007;
    
    int n, m;
    int u[maxn], v[maxn];
    
    int h[maxn], cnt = 1;
    struct E{
    	int to, cap, next;
    }e[maxn * maxn * 10];
    void add(int u, int v, int c){
    	e[++cnt].to = v;
    	e[cnt].cap = c;
    	e[cnt].next = h[u];
    	h[u] = cnt;
    }
    
    int s,t;
    int vis[maxn], d[maxn], cur[maxn];
    
      bool BFS() {
        memset(vis, 0, sizeof(vis));
        queue<int> Q;
        Q.push(s);
        vis[s] = 1;
        d[s] = 0;
        while(!Q.empty()) {
          int u = Q.front(); Q.pop();
          for(int i = h[u]; i != -1 ; i = e[i].next) {
            if(!vis[e[i].to] && e[i].cap) {
              vis[e[i].to] = 1;
              d[e[i].to] = d[u] + 1;
              Q.push(e[i].to);
            }
          }
        }
        return vis[t];
      }
    
      int DFS(int x, int a) {
        if(x == t || a == 0) return a;
        int flow = 0, f;
        for(int &i = cur[x]; i != -1 ; i = e[i].next) {
          if(d[x] + 1 == d[e[i].to] && (f = DFS(e[i].to, min(a, e[i].cap))) > 0) {
            e[i].cap -= f;
            e[i^1].cap += f;
            flow += f;
            a -= f;
            if(a == 0) break;
          }
        }
        return flow;
      }
    
      int Maxflow() {
        int flow = 0;
        while(BFS()) {
    	  memcpy(cur, h, sizeof(h));
          flow += DFS(s, INF);
        }
        return flow;
      }
    
    ll read(){ ll s = 0, f = 1; char ch = getchar(); while(ch < '0' || ch > '9'){ if(ch == '-') f = -1; ch = getchar(); } while(ch >= '0' && ch <= '9'){ s = s * 10 + ch - '0'; ch = getchar(); } return s * f; }
    
    int main(){
    	int kase = 0; int flag = 0;
    	while(scanf("%d%d", &n, &m) == 2){
    		memset(h, -1, sizeof(h)); cnt = 1;
    		
    		for(int i = 1 ; i <= m ; ++i){
    			scanf(" (%d,%d)", &u[i], &v[i]);
    			++u[i], ++v[i];
    		}
    		
    		int ans = INF;
    		
    		for(int ss = 1 ; ss <= n ; ++ss){
    			for(int tt = 1 ; tt <= n ; ++tt){
    				if(ss == tt) continue;
    				
    				memset(h, -1, sizeof(h)); cnt = 1;
    				for(int i = 1 ; i <= n ; ++i){
    					add(i, i + n, 1);
    					add(i + n, i, 0);
    				}
    				for(int i = 1 ; i <= m ; ++i){
    					add(u[i] + n, v[i], INF);
    					add(v[i], u[i] + n, 0);
    					add(v[i] + n, u[i], INF);
    					add(u[i], v[i] + n, 0);
    				}
    				
    				s = ss + n, t = tt;
    				ans = min(ans, Maxflow());
    			}
    		}
    
    		if(ans == INF) ans = n;
    		printf("%d
    ", ans);
    	} 
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/tuchen/p/15004508.html
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