ACM模板库

ACM模板库


求割点与桥

#include<iostream>
using namespace std;
#include<cstdio>
#include<cstring>
#include<vector>
const int maxn = 1e5+5;
vector<int>   G[maxn];
int n, m, low[maxn], dfn[maxn];
bool is_cut[maxn];
int father[maxn];
int tim = 0;
void input(){
    scanf("%d%d",&n, &m);
    int a, b;
    for(int i = 1; i <= m; ++i){
        scanf("%d%d",&a, &b);
        G[a].push_back(b);/*邻接表储存无向边*/
        G[b].push_back(a);
    }
}
void Tarjan(int i, int Father){
    father[i] = Father;/*记录每一个点的父亲*/
    dfn[i] = low[i] = tim++;
    for(int j = 0; j < G[i].size(); ++j){
        int k = G[i][j];
        if(dfn[k] == -1){
            Tarjan(k, i);
            low[i] = min(low[i], low[k]);
        }
        else if(Father !=k)/*假如k是i的父亲的话,那么这就是无向边中的重边,有重边那么一定不是桥*/
            low[i] = min(low[i], dfn[k]);//dfn[k]可能!=low[k],所以不能用low[k]代替dfn[k],否则会上翻过头了。
    }
}
void count(){
    int rootson = 0;
    Tarjan(1, 0);
    for(int i = 2; i <= n; ++i){
        int v = father[i];
        if(v == 1)
        rootson++;/*统计根节点子树的个数,根节点的子树个数>=2,就是割点*/
        else{
            if(low[i] >= dfn[v])/*割点的条件*/
                is_cut[v] = true;//这里可以改成计数,来判断去掉后产生多少个连通过快 
        }
    }
    if(rootson > 1)  is_cut[1] = true;
    for(int i = 1; i <= n; ++i){
        if(is_cut[i])   printf("%d\n",i);//输出割点 
    }
    for(int i = 1; i <= n; ++i){
        int v = father[i];
        if(v > 0 && low[i] > dfn[v])/*桥的条件*/
            printf("%d,%d\n",v,i);
    }

}
int main(){
    input();
    memset(dfn,-1,sizeof(dfn));
    memset(father,0,sizeof(father));
    memset(low,-1,sizeof(low));
    memset(is_cut,false,sizeof(is_cut));
    count();
    return 0;
}

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