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  • POJ1273Drainage Ditches(裸的最大流)

    就是一个裸的最大流

    来当模版用也不错

    // File Name: 1273.cpp
    // Author: zlbing
    // Created Time: 2013/3/2 22:01:59
    
    #include<iostream>
    #include<string>
    #include<algorithm>
    #include<cstdlib>
    #include<cstdio>
    #include<set>
    #include<map>
    #include<vector>
    #include<cstring>
    #include<stack>
    #include<cmath>
    #include<queue>
    using namespace std;
    #define CL(x,v); memset(x,v,sizeof(x));
    #define INF 0x3f3f3f3f
    #define LL long long
    #define MAXN 210
    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=1;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(){
            CL(vis,0);
            queue<int> Q;
            Q.push(s);
            d[s]=0;
            vis[s]=1;
            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()){
                CL(cur,0);
                flow+=DFS(s,INF);
            }
            return flow;
        }
        //最小割割边
        vector<int> Mincut(){
            BFS();
            vector<int> ans;
            for(int i=0;i<edges.size();i++){
                Edge& e=edges[i];
                if(vis[e.from]&&!vis[e.to]&&e.cap>0)ans.push_back(i);
            }
            return ans;
        }
        void Reduce(){
            for(int i = 0; i < edges.size(); i++) edges[i].cap -= edges[i].flow;
        }
        void ClearFlow(){
            for(int i = 0; i < edges.size(); i++) edges[i].flow = 0;
        }
    };
    Dinic solver;
    int main(){
        int n,m;
        while(~scanf("%d%d",&m,&n))
        {
            solver.init(n);
            int a,b,c;
            for(int i=0;i<m;i++)
            {
                scanf("%d%d%d",&a,&b,&c);
                solver.AddEdge(a,b,c);
            }
            int ans=solver.Maxflow(1,n);
            printf("%d\n",ans);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/arbitrary/p/2941077.html
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