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; }