Submission #475438

#TimeUsernameProblemLanguageResultExecution timeMemory
475438MohamedAhmed04Pipes (CEOI15_pipes)C++14
100 / 100
1446 ms10264 KiB
#include <bits/stdc++.h>
 
using namespace std ;
 
const int MAX = 1e5 + 10 ;
 
int P[MAX] , P1[MAX] , sz1[MAX] , P2[MAX] , mark[MAX] , dep[MAX] ;
 
int n , m ;
 
vector< vector<int> >adj(MAX) ;
 
void init()
{
	for(int i = 1 ; i <= n ; ++i)
		P1[i] = i , sz1[i] = 1 ;
}
 
int root(int node)
{
	return P1[node] ;
}
 
int r = -1 ;

void dfs(int node , int par , bool flag)
{
	P1[node] = r ;
	for(auto &child : adj[node])
	{
		if(child == par)
			continue ;
		dep[child] = dep[node] + 1 ;
		if(P[node] == child)
			dfs(child , node , mark[node]) ;
		else
			dfs(child , node , mark[child]) ;
	}
	P[node] = P2[node] = par , mark[node] = flag ;
}
 
void Union(int x , int y)
{
	int a = root(x) ;
	int b = root(y) ;
	if(sz1[a] < sz1[b])
		swap(a , b) , swap(x , y) ;
	adj[x].push_back(y) , adj[y].push_back(x) ;
	dep[y] = dep[x] + 1 , r = a ; 
	dfs(y , x , 0) ;
	sz1[a] += sz1[b] ;
}
 
vector<int>v1 , v2 ;
 
void solve(int x , int y)
{
	while(x != y)
	{
		while(dep[x] >= dep[y] && x != y)
			v1.push_back(x) , mark[x] = 1 , x = P2[x] ;
		while(dep[y] >= dep[x] && x != y)
			v2.push_back(y) , mark[y] = 1 , y = P2[y] ;
	}
	for(auto &node : v1)
		P2[node] = x ;
	for(auto &node : v2)
		P2[node] = y ;
	v1.clear() , v2.clear() ;
}
 
int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n>>m ;
	init() ;
	for(int i = 0 ; i < m ; ++i)
	{
		int x , y ;
		cin>>x>>y ;
		if(root(x) != root(y))
			Union(x , y) ;
		else
			solve(x , y) ;
	}
	for(int i = 1 ; i <= n ; ++i)
	{
		if(!mark[i] && P[i])
			cout<<i<<" "<<P[i]<<"\n" ;
	}
	return 0 ;
}		
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