uva 610(tarjan的应用)

时间:2024-04-14 18:40:37

题目链接:http://acm.hust.edu.cn/vjudge/problem/viewProblem.action?id=23727

思路:首先是Tarjan找桥,对于桥,只能是双向边,而对于同一个连通分量而言,只要重新定向为同一个方向即可。

 #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<stack>
#include<queue>
#include<vector>
using namespace std;
#define MAXN 1111
typedef pair<int,int>PP; int low[MAXN],dfn[MAXN];
bool mark[MAXN];
int _count,cnt;
vector<int>g[MAXN];
vector<PP>bridge;
bool vis[MAXN][MAXN];
int n,m; void Tarjan(int u,int father)
{
int flag=;
low[u]=dfn[u]=++cnt;
mark[u]=true;
for(int i=;i<(int)g[u].size();i++){
int v=g[u][i];
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(u,v));
bridge.push_back(make_pair(v,u));
vis[u][v]=vis[v][u]=true;
}else {
bridge.push_back(make_pair(u,v));
vis[u][v]=vis[v][u]=true;
}
}else if(mark[v]){
low[u]=min(low[u],dfn[v]);
if(!vis[u][v]){
bridge.push_back(make_pair(u,v));
vis[u][v]=vis[v][u]=true;
}
}
}
} int main()
{
int u,v,t=;
while(~scanf("%d%d",&n,&m)){
if(n==&&m==)break;
for(int i=;i<=n+;i++)g[i].clear();
bridge.clear();
while(m--){
scanf("%d%d",&u,&v);
g[u].push_back(v);
g[v].push_back(u);
}
memset(mark,false,sizeof(mark));
memset(dfn,,sizeof(dfn));
memset(vis,false,sizeof(vis));
_count=cnt=;
Tarjan(,-);
printf("%d\n\n",t++);
for(int i=;i<(int)bridge.size();i++){
printf("%d %d\n",bridge[i].first,bridge[i].second);
}
puts("#");
}
return ;
}