loj 1026( tarjan + 输出割边 )

时间:2023-03-09 16:34:26
loj 1026( tarjan + 输出割边 )

题目链接:http://lightoj.com/volume_showproblem.php?problem=1026

思路:Tarjan 算法简单应用。割边的特点:low[v]>dfn[u](v是u的子节点)

 #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<vector>
using namespace std;
#define MAXN 22222 struct Edge{
int v,next;
}edge[MAXN*]; int n,NE;
int head[MAXN]; void Insert(int u,int v)
{
edge[NE].v=v;
edge[NE].next=head[u];
head[u]=NE++;
} int cnt,bcc_count;
int low[MAXN],dfn[MAXN];
bool mark[MAXN];
vector<pair<int,int> >bridge; void Tarjan(int u,int father)
{
int flag=;
low[u]=dfn[u]=++cnt;
mark[u]=true;
for(int i=head[u];i!=-;i=edge[i].next){
int v=edge[i].v;
if(v==father&&!flag){ flag=;continue; }
if(dfn[v]==){
Tarjan(v,u);
low[u]=min(low[u],low[v]);
if(low[v]>dfn[u]){
bridge.push_back(make_pair(min(u,v),max(u,v)));
}
}else if(mark[v]){
low[u]=min(low[u],dfn[v]);
}
}
} int cmp(const pair<int,int>p,const pair<int,int>q)
{
if(p.first!=q.first)return p.first<q.first;
return p.second<q.second;
} int main()
{
int _case,u,v,x,t=;
scanf("%d",&_case);
while(_case--){
scanf("%d",&n);
NE=;
memset(head,-,sizeof(head));
for(int i=;i<n;i++){
scanf("%d (%d)",&u,&x);
while(x--){
scanf("%d",&v);
Insert(u,v);
}
}
bridge.clear();
cnt=bcc_count=;
memset(dfn,,sizeof(dfn));
memset(mark,false,sizeof(mark));
for(int i=;i<n;i++)if(dfn[i]==)Tarjan(i,-);
printf("Case %d:\n",t++);
printf("%d critical links\n",(int)bridge.size());
sort(bridge.begin(),bridge.end(),cmp);
for(int i=;i<(int)bridge.size();i++){
printf("%d - %d\n",bridge[i].first,bridge[i].second);
}
}
return ;
}