• 间谍网络


    传送门

    终于有一道能够一次AC的Tarjan题啦!

    这个题还是很简单的,首先Tarjan缩点,之后把新图建出来之后发现,因为要控制所有间谍,那么肯定得从入度为0的间谍下手,所以如果有任何入度为0的间谍不愿意被收买的话任务就失败了,否则的话直接topo排序统计答案即可。

    图也许是不联通的,所以要用循环的方法一直跑即可。

    #include<cstdio>
    #include<algorithm>
    #include<cstring>
    #include<iostream>
    #include<cmath>
    #include<queue>
    #include<set>
    #define rep(i,a,n) for(int i = a;i <= n;i++)
    #define per(i,n,a) for(int i = n;i >= a;i--)
    #define enter putchar('
    ')
    
    using namespace std;
    typedef long long ll;
    const int M = 50005;
    
    int read()
    {
        int ans = 0,op = 1;
        char ch = getchar();
        while(ch < '0' || ch > '9')
        {
        if(ch == '-') op = -1;
        ch = getchar();
        }
        while(ch >= '0' && ch <= '9')
        {
        ans *= 10;
        ans += ch - '0';
        ch = getchar();
        }
        return ans * op;
    }
    
    struct edge
    {
        int next,to,from;
    }e[M],e1[M];
    
    int n,p,r,a,b,low[M],dfn[M],stack[M],scc[M],mmoney[M],mnode[M],head[M],ecnt,idx,cnt,top;
    int rdeg[M],cdeg[M],ecnt1,head1[M],mo[M],ans;
    bool vis[M],pd[M],can[M],jud[M];
    
    void add(int x,int y)
    {
        e[++ecnt].to = y;
        e[ecnt].from = x;
        e[ecnt].next = head[x];
        head[x] = ecnt;
    }
    
    void add1(int x,int y)
    {
        e[++ecnt1].to = y;
        e[ecnt1].from = x;
        e[ecnt1].next = head1[x];
        head1[x] = ecnt1;
    }
    
    void tarjan(int x)
    {
        low[x] = dfn[x] = ++idx;
        stack[++top] = x,vis[x] = 1;
        for(int i = head[x];i;i = e[i].next)
        {
        if(!dfn[e[i].to]) tarjan(e[i].to),low[x] = min(low[x],low[e[i].to]);
        else if(vis[e[i].to]) low[x] = min(low[x],dfn[e[i].to]);
        }
        if(low[x] == dfn[x])
        {
        cnt++;
        int p;
        while((p = stack[top--]))
        {
            scc[p] = cnt,vis[p] = 0;
            if(can[p]) jud[cnt] = 1,mmoney[cnt] = (!mmoney[cnt]) ? mo[p] : min(mmoney[cnt],mo[p]);
            mnode[cnt] = (!mnode[cnt]) ? p : min(p,mnode[cnt]);
            if(p == x) break;
        }
        }
    }
    
    void rebuild()
    {
        rep(i,1,ecnt)
        {
        int r1 = scc[e[i].from],r2 = scc[e[i].to];
        //printf("@%d %d
    ",r1,r2);
        if(r1 != r2) add1(r1,r2),rdeg[r2]++,cdeg[r1]++;
        }
    }
    
    void topo(int x)
    {
        if(!jud[x])
        {
        printf("NO
    ");
        printf("%d
    ",mnode[x]);
        exit(0);
        }
        queue <int> q;
        q.push(x);pd[x] = 1,ans += mmoney[x];
        while(!q.empty())
        {
        int k = q.front();q.pop();
        for(int i = head1[k];i;i = e1[i].next)
        {
            cdeg[k]--,rdeg[e1[i].to]--;
            if(!rdeg[e1[i].to]) q.push(e1[i].to);
        }
        }
    }
    
    int main()
    {
        n = read(),p = read();
        rep(i,1,p) a = read(),b = read(),can[a] = 1,mo[a] = b;
        r = read();
        rep(i,1,r) a = read(),b = read(),add(a,b);
        //rep(i,1,ecnt) printf("!%d %d
    ",e[i].from,e[i].to);
        rep(i,1,n) if(!dfn[i]) tarjan(i);
        rebuild();
        //rep(i,1,ecnt1) printf("#%d %d
    ",e1[i].from,e1[i].to);
        rep(i,1,cnt) if(!pd[i] && !rdeg[i]) topo(i);
        printf("YES
    ");
        printf("%d
    ",ans);
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/captain1/p/9716434.html
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