• hdu 3061 (最大权闭合图)


    分析:城池之间有依赖关系,汇点与能获得兵力的城池连接,容量为可以获得的兵力,损耗兵力的城池与汇点连接容量为损耗的兵力,有依赖关系的城池间连边,容量为无穷大,跑网络流求出的最小割就是损耗的最小兵力,,,






    #include<stdio.h>
    #include<string.h>
    const int N=510;
    const int inf=0x3fffffff;
    int dis[N],gap[N],start,end,ans,head[N],num;
    struct edge
    {
    	int st,ed,flow,next;
    }e[N*N];
    void addedge(int x,int y,int w)
    {
    	e[num].st=x;e[num].ed=y;e[num].flow=w;e[num].next=head[x];head[x]=num++;
    	e[num].st=y;e[num].ed=x;e[num].flow=0;e[num].next=head[y];head[y]=num++;
    }
    int dfs(int u,int minflow)  
    {  
        if(u==end)return minflow;  
        int i,v,f,min_dis=ans-1,flow=0;  
        for(i=head[u];i!=-1;i=e[i].next)  
        {  
            v=e[i].ed;  
            if(e[i].flow<=0)continue;  
            if(dis[v]+1==dis[u])  
            {  
                f=dfs(v,e[i].flow>minflow-flow?minflow-flow:e[i].flow);  
                e[i].flow-=f;  
                e[i^1].flow+=f;  
                flow+=f;  
                if(flow==minflow)break;  
                if(dis[start]>=ans)return flow;  
            }  
            min_dis=min_dis>dis[v]?dis[v]:min_dis;  
        }  
        if(flow==0)  
        {  
            if(--gap[dis[u]]==0)  
                dis[start]=ans;  
            dis[u]=min_dis+1;  
            gap[dis[u]]++;  
        }  
        return flow;  
    }
    int isap()  
    {  
        int maxflow=0;  
        memset(gap,0,sizeof(gap));  
        memset(dis,0,sizeof(dis));  
        gap[0]=ans;  
        while(dis[start]<ans)  
            maxflow+=dfs(start,inf);  
    	//printf("%d
    ",maxflow);
        return maxflow;  
    }
    int main()
    {
    	int i,x,y,n,m,k;
    	while(scanf("%d%d",&n,&m)!=-1)
    	{
    		memset(head,-1,sizeof(head));
    		num=0;start=0;end=n+1;ans=end+1;k=0;
    		for(i=1;i<=n;i++)
    		{
    			scanf("%d",&x);
    			if(x>=0)
    			{
    			   addedge(start,i,x);
    			   k+=x;
    			}
    			else addedge(i,end,-x);
    		}
    		for(i=1;i<=m;i++)
    		{
    			scanf("%d%d",&x,&y);
    			addedge(x,y,inf);
    		}
    		printf("%d
    ",k-isap());
    	}
    	return 0;
    }


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  • 原文地址:https://www.cnblogs.com/pangblog/p/3268882.html
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