• UVA1515 pool ,玄学的最小割


    白书题,,,,不是很理解最小割u
    多刷题吧,
    以后应该就会了

    这里写图片描述

    #include<queue>
    #include<cstdio>
    #include<vector>
    #include<string>
    #include<cstring>
    #include<iostream>
    using namespace std;
    typedef long long LL;
    const int dx[]={ 0, 0,-1, 1};
    const int dy[]={-1, 1, 0, 0};
    const int INF=0x3f3f3f3f;
    const int N = 9999;
    int n,m,a[N],b[N];
    
    struct Dinic{
        struct Edge{
            int from,to,cap,flow;
            Edge(int u,int v,int c,int f):
                from(u),to(v),cap(c),flow(f){}
        };
        int n, s, t;
        vector<Edge>edges;
        vector< int>G[N]; //gragh
        bool vis[N]; //use when bfs
        int d[N],cur[N];//dist,now edge,use in dfs
        inline void AddEdge(int from,int to,int cap){
            edges.push_back(Edge(from,to,cap,0));
            edges.push_back(Edge(to,from, 0 ,0));
            int top = edges.size()  ;
            G[from].push_back(top-2);
            G[ to ].push_back(top-1);
        }
        inline void Init(int n){
            this -> n= n ;
            s = 0, t = n ;
            edges.clear();
            for (int i=0;i<=n;i++)G[i].clear();
        }
    
        inline bool BFS(){
            memset(vis,0,sizeof(vis));
            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)continue;
                    vis[e.to]=1;
                    d[e.to]=d[x]+1;
                    Q.push(e.to);
                }
            }
            return vis[t];
        }
        inline int DFS(const 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])continue;
                if ((f=DFS(e.to,min(a,e.cap-e.flow)))<=0)continue;
                e.flow += f;
                edges[G[x][i]^1].flow-=f;//ϲߍ
                flow+=f; a-=f;
                if (!a) break;
            }
            return flow;
        }
        inline int maxFlow(){return maxFlow(s,t);}
        inline int maxFlow(const int& s,const int& t){
            int flow=0;
            while(BFS()){
                memset(cur,0,sizeof(cur));
                flow += DFS(s,INF) ;
                //printf("flow=%d
    ",flow);
            }
            return flow;
        }
    } g ;
    
    bool pool[99][99];
    int id[99][99];
    int main(){
        //freopen("in.txt","r",stdin);
        int T,n,m,d,f,b;
        scanf("%d", &T);
        for (char ch;T--;){
            scanf("%d%d%d%d%d
    ",&m,&n,&d,&f,&b);
            for (int i=1;i<=n;i++){
                for (int j=1;j<=m;j++){
                    scanf("%c",&ch);
                    pool[i][j] = ch=='#';
                    id[i][j] = (i-1)*m+j;
                }
                getchar() ;
            }
            int ans = 0;
            g.Init( n*m+1);
            for (int i=1;i<=n;i++){
                for (int j=1;j<=m;j++){
                    if (i==1||i==n||j==1||j==m){
                        g.AddEdge(g.s,id[i][j],INF);
                        if (!pool[i][j]) ans += f ;
                    }else{//not at the bounder
                        if(pool[i][j])g.AddEdge(g.s,id[i][j],d);
                        else g.AddEdge(id[i][j],g.t,f);
                    }
                    for (int k=0;k<4;k++){
                        int cx = i + dx[k];
                        int cy = j + dy[k];
                        if (cx<1||cx>n||cy<1||cy>m)continue;
                        g.AddEdge(id[i][j],id[cx][cy],b);
                    }
                }
            }
            printf("%d
    ", ans + g.maxFlow());
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/cww97/p/12349374.html
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