finding bridge.cpp

//AnkitCode99 here....
#include<bits/stdc++.h>
#define endl "\n"
typedef long long int ll;
#define MOD 1000000007
#define mp make_pair
#define pll pair<ll,ll>
#define pb push_back
//max xor btw range of two numbers..
#define max_XOR(a,b) (1 << int(log2(a ^ b) + 1)) - 1
#define vl vector<ll>
#define inf ll(1e18)
#define all(v) (v.begin(),v.end())
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define rep(i,a,b) for(long long int i=a;i<b;i++)
#define nrep(i,a,b) for(long long int i=a;i>=b;i--)
#define ceil(a,b) a/b+((a%b ==0 )?0:1)
using namespace std;

const ll sz=100005;
vl ar[sz];
bool vis[sz];
ll in[sz],low[sz];
ll timer=0;

void dfs(ll node,ll par)
{
	vis[node]=true;
	in[node]=low[node]=timer++;
	for(ll child:ar[node])
	{
		if(child==par)
		{
			continue;
		}
		else if(vis[child])//condition for backedge
		{
			low[node]=min(low[node],in[child]);
		}
		else
		{
			dfs(child,node);

			if(low[child]>in[node])
			{
				cout<<node<<" - "<<child<<" is a bridge\n";
			}
			low[node]=min(low[node],low[child]);
		}
	}
}

int main()
{
	fast;
    #ifndef ONLINE_JUDGE
	freopen("IP.txt","r",stdin);
	freopen("OP.txt","w",stdout);
	#endif

	ll n,m;
	cin>>n>>m;

	rep(i,0,m)
	{
		ll a,b;
		cin>>a>>b;
		ar[a].pb(b);
		ar[b].pb(a);
	}

	dfs(1,-1);

	
}