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  • HDU 2485 Destroying the bus stations

    2015 ACM / ICPC 北京站 热身赛 C题

    #include<cstdio>
    #include<cstring>
    #include<cmath>
    #include<queue>
    #include<vector>
    #include<algorithm>
    using namespace std;
    
    const int INF=0x7FFFFFFF;
    const int maxn=50+10;//点的数量
    int n,m,k;
    int u[4000+10],v[4000+10];
    int dis1[maxn],dis2[maxn];
    bool flag1[maxn],flag2[maxn];
    vector<int>P[maxn];
    vector<int>FP[maxn];
    queue<int>Q1;
    queue<int>Q2;
    
    struct Edge
    {
        int from, to, cap, flow;
        Edge(int u, int v, int c, int f) :from(u), to(v), cap(c), flow(f) {}
    };
    vector<Edge>edges;
    vector<int>G[maxn*2];
    bool vis[maxn*2];
    int d[maxn*2];
    int cur[maxn*2];
    int s, t;
    
    void read()
    {
        for(int i=1;i<=m;i++)
        {
            scanf("%d%d",&u[i],&v[i]);
            P[u[i]].push_back(v[i]);
            FP[v[i]].push_back(u[i]);
        }
    }
    
    void init()
    {
        for(int i=0;i<maxn;i++) P[i].clear();
        for(int i=0;i<maxn;i++) FP[i].clear();
    
        for(int i=1;i<=n;i++) dis1[i]=INF,dis2[i]=INF;
    
        for(int i = 0; i < 2*maxn; 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));
        int w = edges.size();
        G[from].push_back(w - 2);
        G[to].push_back(w - 1);
    }
    
    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)
                {
                    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)
            {
                edges[G[x][i]].flow+=f;
                edges[G[x][i] ^ 1].flow-=f;
                flow+=f;
                a-=f;
                if(a==0) break;
            }
        }
        if(!flow) d[x] = -1;
        return flow;
    }
    
    int dinic(int s, int t)
    {
        int flow = 0;
        while (BFS())
        {
            memset(cur, 0, sizeof(cur));
            flow += DFS(s, INF);
        }
        return flow;
    }
    
    void spfa1(int x)
    {
        while(!Q1.empty()) Q1.pop();
        memset(flag1,0,sizeof flag1);
    
        dis1[x]=0;
        flag1[x]=1;
        Q1.push(x);
    
        while(!Q1.empty())
        {
            int h=Q1.front(); flag1[h]=0; Q1.pop();
            for(int i=0;i<P[h].size();i++)
            {
                if(dis1[h]+1<dis1[P[h][i]])
                {
                    dis1[P[h][i]]=dis1[h]+1;
                    if(flag1[P[h][i]]==0)
                    {
                        flag1[P[h][i]]=1;
                        Q1.push(P[h][i]);
                    }
                }
            }
        }
    }
    
    void spfa2(int x)
    {
        while(!Q2.empty()) Q2.pop();
        memset(flag2,0,sizeof flag2);
    
        dis2[x]=0;
        flag2[x]=1;
        Q2.push(x);
    
        while(!Q2.empty())
        {
            int h=Q2.front(); flag2[h]=0; Q2.pop();
            for(int i=0;i<FP[h].size();i++)
            {
                if(dis2[h]+1<dis2[FP[h][i]])
                {
                    dis2[FP[h][i]]=dis2[h]+1;
                    if(flag2[FP[h][i]]==0)
                    {
                        flag2[FP[h][i]]=1;
                        Q2.push(FP[h][i]);
                    }
                }
            }
        }
    }
    
    int main()
    {
        while(~scanf("%d%d%d",&n,&m,&k))
        {
            if(!n&&!m&&!k) break;
    
            init();
            read();
    
            spfa1(1);
            spfa2(n);
    
            s=1;t=n+n;
    
            for(int i=1;i<=n;i++) AddEdge(i+n,i,1);
    
            for(int i=1;i<=m;i++)
                if(dis1[u[i]]+dis2[v[i]]+1<=k)
                    AddEdge(u[i],v[i]+n,INF);
    
            int ans=dinic(s,t);
            printf("%d
    ",ans);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/zufezzt/p/4964957.html
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