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  • 洛谷p1345---最小割的奇妙运用

    让你去掉最少的点,使得c1和c2变得不连通,你有办法吗???

    这是最小割呀!!!

    网络流的最小割去掉的是边,构造边的顶点的唯一关系就好了!!!

     需要注意一点

    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    #include<vector>
    #include<queue>
    using namespace std;
    const int INF = 0x3f3f3f3f;
    const int Maxn = 10000 + 10;
    
    struct Node {
    	int to, cap, rev;
    	Node(int a, int b, int c) :to(a), cap(b), rev(c) {}
    };
    
    vector<Node> G[Maxn];
    int level[Maxn];
    int iter[Maxn];
    void insert(int from, int to, int cap) {
    	G[from].push_back(Node(to, cap, G[to].size()));
    	G[to].push_back(Node(from, 0, G[from].size() - 1));//网络流的反向边
    	return;
    }
    
    void bfs(int s) {//从源点划分等级
    	memset(level, -1, sizeof(level));
    	queue<int> que;
    	level[s] = 0;//设置初级
    	que.push(s);
    	while (!que.empty()) {
    		int x = que.front();
    		que.pop();
    		for (int i = 0; i < G[x].size(); i++) {
    			Node &e = G[x][i];
    			if (e.cap > 0 && level[e.to] < 0) {//正边而且没有访问过
    				level[e.to] = level[x] + 1;
    				que.push(e.to);
    			}
    		}
    	}
    
    }
    int dfs(int v, int t, int f) {
    	if (v == t) return f;
    	for (int &i = iter[v]; i < G[v].size(); i++) {
    		Node &e = G[v][i];
    		if (e.cap > 0 && level[v] < level[e.to]) {
    			int d = dfs(e.to, t, min(f, e.cap));
    			if (d > 0) {//流量存在就制造反边出来
    				e.cap -= d;//走过了
    				G[e.to][e.rev].cap += d;//
    				return d;
    			}
    		}
    	}
    	return 0;
    }
    int dinic(int s, int t) {
    	int flow = 0;
    	while (1) {
    		bfs(s);
    		if (level[t] < 0) return flow;
    		memset(iter, 0, sizeof(iter));
    		int f;
    		while ((f = dfs(s, t, INF)) > 0) {
    			flow += f;
    		}
    	}
    	return flow;
    }
    void inint() {
    	for (int i = 0; i < Maxn; i++) {
    		G[i].clear();
    	}
    	return;
    }
    int main() {
    
    	//int T; int n;
    	// int chal = dinic(1, n);
    	int n, m, s, t;
    	scanf("%d %d %d %d", &n, &m, &s, &t);
    	s += n;                     
    	for (int i = 1; i <= n; i++) {
    		insert(i, i + n, 1);
    	}
    	int be, en;
    	for (int i = 0; i < m; i++) {
    		scanf("%d %d", &be, &en);
    		insert(be + n, en, INF); 
    		insert(en + n, be, INF);
    	}
    	
    	int chal = dinic(s, t);
    	printf("%d
    ", chal);
    	return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/lesning/p/11536298.html
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