P2863 [USACO06JAN]牛的舞会The Cow Prom

链接

P2863 [USACO06JAN]牛的舞会The Cow Prom

思路

(tarjan)求出强连通分量,并且记录出强连通分量里的点的个数,如果个数大于(1)(ans++)

代码

#include<bits/stdc++.h>
#include<vector>
#include<stack>
using namespace std;
const int N=50010;
int dfn[N],low[N],sum,top,vis[N],col[N];
vector<int>g[N];
stack<int> q;
int num2;
int ans;
int tot[N];
int n,m,dep;
void tarjan(int u) {
    ++dep;
    dfn[u]=low[u]=dep;
    q.push(u);
    vis[u]=1;
    int len=g[u].size();
    for(int i=0; i<len; ++i) {
        int v=g[u][i];
        if(!dfn[v]) {
            tarjan(v);
            low[u]=min(low[u],low[v]);
        } else {
            if(vis[u]) low[u]=min(low[u],low[v]);
        }
    }
    if(dfn[u]==low[u])//找到强联通分量了
    {
        sum++;
        num2++;
        col[u]=sum;
        vis[u]=0; 
        tot[num2]++;
        while(q.top()!=u)
        {
            int Top=q.top();
            q.pop();
            col[Top]=sum;
			tot[num2]++;
            vis[Top]=0;
        }
        q.pop();
    }
}
signed main() {
    cin>>n>>m;
    for(int i=1; i<=m; ++i) {
        int x,y;
        cin>>x>>y;
        g[x].push_back(y);
    }
    for(int i=1; i<=n; ++i)
        //if(!col[i]) tarjan(i);
        if(!dfn[i]) tarjan(i);
    for(int i=1;i<=num2;++i) 
        if(tot[i]>1) ans++;
    cout<<ans;
    return 0;
}

错误原因

 if(dfn[u]==low[u])//找到强联通分量了
    {
        sum++;
        num2++;
        col[u]=sum;
        vis[u]=0; 
        tot[num2]++;//没有这一句
        while(q.top()!=u)
        {
            int Top=q.top();
            q.pop();
            col[Top]=sum;
			tot[num2]++;
            vis[Top]=0;
        }
        q.pop();
    }

少算了割点

原文地址:https://www.cnblogs.com/pyyyyyy/p/11356931.html