<p>There are <code>n</code> servers numbered from <code>0</code> to <code>n - 1</code> connected by undirected server-to-server <code>connections</code> forming a network where <code>connections[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> represents a connection between servers <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>. Any server can reach other servers directly or indirectly through the network.</p>

<p>A <em>critical connection</em> is a connection that, if removed, will make some servers unable to reach some other server.</p>

<p>Return all critical connections in the network in any order.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2019/09/03/1537_ex1_2.png" style="width: 198px; height: 248px;" />
<pre>
<strong>Input:</strong> n = 4, connections = [[0,1],[1,2],[2,0],[1,3]]
<strong>Output:</strong> [[1,3]]
<strong>Explanation:</strong> [[3,1]] is also accepted.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> n = 2, connections = [[0,1]]
<strong>Output:</strong> [[0,1]]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>
	<li><code>n - 1 &lt;= connections.length &lt;= 10<sup>5</sup></code></li>
	<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n - 1</code></li>
	<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>
	<li>There are no repeated connections.</li>
</ul>

class Solution {
public:
    void dfs(int node,unordered_map<int,list<int>> &adjList,int parent,vector<int> &visit,vector<int> &low,vector<int> &discovery,vector<vector<int>> &ans,int &timer){
        low[node]=timer;
        discovery[node]=timer;
        visit[node]=1;
        for(auto i:adjList[node]){
            if(i==parent)
                continue;
            else if(visit[i]){
                low[node]=min(discovery[i],low[node]);
            }
            else{
                timer++;
                dfs(i,adjList,node,visit,low,discovery,ans,timer);
                if(discovery[node]<low[i])
                    ans.push_back({node,i});
                low[node]=min(low[node],low[i]);
            }
        }
    }
    vector<vector<int>> criticalConnections(int v, vector<vector<int>>& edges) {
        vector<vector<int>> ans;
        unordered_map<int,list<int>>adjList;
        for(auto i:edges){
            adjList[i[0]].push_back(i[1]);
            adjList[i[1]].push_back(i[0]);
        }
        vector<int> visit(v),low(v),discovery(v);
        int timer=0;
        dfs(0,adjList,-1,visit,low,discovery,ans,timer);
        return ans;
    }
};
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