UVA 1660(p380)----Cable TV Network
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#include<cstdio>#include<cstring>#include<queue>#include<vector>#include<iostream>#include<algorithm>using namespace std;const int maxn = 50*50+10;const int INF = 1000000000;int n,m;vector<int> flag;struct Edge{ int from, to, cap, flow; Edge(int a,int b,int c,int d):from(a),to(b),cap(c),flow(d) {}};vector<Edge> edge;vector<Edge> edges;vector<int> G[maxn];struct Dinic{ int n, m, s, t; bool vis[maxn]; int d[maxn]; int cur[maxn]; void init(int n) { this->n=n; for(int i = 0; i < n; i++) G[i].clear(); edges.clear(); } void addedge(int from, int to, int cap) { edges.push_back(Edge(from,to,cap,0)); edges.push_back(Edge(to,from,0,0)); int m = edges.size(); G[from].push_back(m-2); G[to].push_back(m-1); } bool BFS(int s) { memset(vis, 0, sizeof(vis)); queue<int> Q; Q.push(s); vis[s] = 1; d[s] = 0; while(!Q.empty()) { int x = Q.front(); Q.pop(); for(int i = 0; i < G[x].size(); i++) { Edge& e = edge[G[x][i]]; if(!vis[e.to] && e.cap > e.flow) { vis[e.to] = 1; d[e.to] = d[x] + 1; Q.push(e.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 < G[x].size(); i++) { Edge& e = edge[G[x][i]]; if(d[x] + 1 == d[e.to] && (f = DFS(e.to, min(a, e.cap-e.flow))) > 0) { e.flow += f; edge[G[x][i]^1].flow -= f; flow += f; a -= f; if(a == 0) break; } } return flow; } int Maxflow(int s, int t) { this->s = s; this->t = t; int flow = 0; while(BFS( s)) { memset(cur, 0, sizeof(cur)); flow += DFS(s, INF); } // cout<<s<<" "<<t<<" "<<flow<<endl; return flow; }};Dinic g;int main(){ while(scanf("%d%d",&n,&m)==2) { g.init(2*n); flag.clear(); for(int i=0; i<n; i++) g.addedge(i,i+n,1); for(int i=0; i<m; i++) { int u,v; scanf(" (%d,%d)",&u,&v); g.addedge(u+n,v,INF); g.addedge(v+n,u,INF); // if(u+n==n) flag.push_back(v); } int ans=INF; for(int i=n-1; i>=0; i--) { if(i+n!=n) { edge=edges; ans=min(ans,g.Maxflow(n,i)); } } if(ans==INF) printf("%d\n",n); else printf("%d\n",ans); } return 0;}
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