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  • poj2135 最小费用流

    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;	
    } 
    

      

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  • 原文地址:https://www.cnblogs.com/wangyiming/p/5929679.html
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