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poj 1459 Power Network, 最大流,多源多汇
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多源多汇最大流,虚拟一个源点s‘和一个汇点t‘,原来的源点、汇点向它们连边。
#include<cstdiO> #include<cstring> #include<iostream> #include<algorithm> #include<queue> #include<vector> using namespace std; const int maxn = 500 + 5; const int INF = 100000000; struct Edge{ int from, to, cap, flow; }; struct Dinic{ int n, m, s, t; vector<Edge> edges; vector<int> G[maxn]; 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}); m = edges.size(); G[from].push_back(m-2); G[to].push_back(m-1); } bool BFS() { 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 = edges[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 = edges[G[x][i]]; if(d[x] + 1 == d[e.to] && (f=DFS(e.to, min(a,e.cap-e.flow)))>0) { e.flow += f; edges[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()){ memset(cur, 0, sizeof cur ); flow += DFS(s, INF); } return flow; } }; Dinic solver; int main() { int n, np, nc, m; char ch; int x, y, z; while(~scanf("%d%d%d%d", &n, &np, &nc, &m)) { int s = 0, t = n+1; solver.init(t+2); for(int i=1; i<=m; ++i) { cin>>ch>>x>>ch>>y>>ch>>z; if(x==y) continue; solver.AddEdge(x+1, y+1, z); } for(int i=1; i<=np; ++i) { cin>>ch>>x>>ch>>z; solver.AddEdge(s, x+1, z); } for(int i=1; i<=nc; ++i) { cin>>ch>>x>>ch>>z; solver.AddEdge(x+1, t, z); } int ans = solver.Maxflow(s,t); printf("%d\n", ans); } return 0; }
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