添加超级源点(与点1之间的边容量为2,权值为0)和超级汇点(与点N之间的边容量为2,权值为0),求流量为2的最小费用流。注意是双向边。
#include <iostream> #include <cstdio> #include <vector> #include <queue> using namespace std; const long long INF = 0x3f3f3f3f3f3f3f3f; typedef long long ll; typedef pair<ll,int> P; struct edge { int to,cap; ll cost; int rev; }; int V,E; vector<edge> G[1005]; ll h[1005]; ll dist[1005]; int prevv[1005]; int preve[1005]; void add_edge(int from,int to,int cap,ll cost) { edge e; e.to = to; e.cap = cap; e.cost = cost; e.rev = G[to].size(); G[from].push_back(e); e.to = from; e.cap = 0; e.cost = -cost; e.rev = G[from].size() - 1; G[to].push_back(e); } ll min_cost_flow(int s,int t,int f) { ll res = 0; fill(h,h + V,0); while(f > 0) { priority_queue <P,vector <P>,greater<P> >que; fill(dist,dist + V,INF); dist[s] = 0; que.push(P(0,s)); while(!que.empty()) { P p = que.top(); que.pop(); int v = p.second; if(dist[v] < p.first) { continue; } for(int i = 0;i < G[v].size();i ++) { edge & e = G[v][i]; if(e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) { dist[e.to] = dist[v] + e.cost + h[v] - h[e.to]; prevv[e.to] = v; preve[e.to] = i; que.push(P(dist[e.to],e.to)); } } } if(dist[t] == INF) { return -1; } for(int v = 0;v < V;v ++) { h[v] += dist[v]; } int d = f; for(int v = t;v != s;v = prevv[v]) { d = min(d,G[prevv[v]][preve[v]].cap); } f -= d; res += d * h[t]; for(int v = t; v != s; v = prevv[v]) { edge & e = G[prevv[v]][preve[v]]; e.cap -= d; G[v][e.rev].cap += d; } } return res; } int main() { int a,b; ll c; cin >> V >> E; for(int i = 0;i < E;i ++) { scanf("%d%d%lld",&a,&b,&c); add_edge(a,b,1,c); add_edge(b,a,1,c); } add_edge(0,1,2,0); add_edge(V,V + 1,2,0); V += 2; cout << min_cost_flow(0,V - 1,2) << endl; return 0; }
原文:http://www.cnblogs.com/wangyiming/p/5929679.html