<p>You are given a 2D integer array <code>intervals</code> where <code>intervals[i] = [start<sub>i</sub>, end<sub>i</sub>]</code> represents all the integers from <code>start<sub>i</sub></code> to <code>end<sub>i</sub></code> inclusively.</p>

<p>A <strong>containing set</strong> is an array <code>nums</code> where each interval from <code>intervals</code> has <strong>at least two</strong> integers in <code>nums</code>.</p>

<ul>
	<li>For example, if <code>intervals = [[1,3], [3,7], [8,9]]</code>, then <code>[1,2,4,7,8,9]</code> and <code>[2,3,4,8,9]</code> are <strong>containing sets</strong>.</li>
</ul>

<p>Return <em>the minimum possible size of a containing set</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> intervals = [[1,3],[3,7],[8,9]]
<strong>Output:</strong> 5
<strong>Explanation:</strong> let nums = [2, 3, 4, 8, 9].
It can be shown that there cannot be any containing array of size 4.
</pre>

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

<pre>
<strong>Input:</strong> intervals = [[1,3],[1,4],[2,5],[3,5]]
<strong>Output:</strong> 3
<strong>Explanation:</strong> let nums = [2, 3, 4].
It can be shown that there cannot be any containing array of size 2.
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> intervals = [[1,2],[2,3],[2,4],[4,5]]
<strong>Output:</strong> 5
<strong>Explanation:</strong> let nums = [1, 2, 3, 4, 5].
It can be shown that there cannot be any containing array of size 4.
</pre>

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

<ul>
	<li><code>1 &lt;= intervals.length &lt;= 3000</code></li>
	<li><code>intervals[i].length == 2</code></li>
	<li><code>0 &lt;= start<sub>i</sub> &lt; end<sub>i</sub> &lt;= 10<sup>8</sup></code></li>
</ul>

class Solution {
public:
    int intersectionSizeTwo(vector<vector<int>>& A) {
       set<vector<int>>st;
    for(auto i:A){
        st.insert({i[0],0,i[1]});
        st.insert({i[1],1,i[0]});
    }
    vector<int>v;
    
    // for(auto i:st) cout<<i[0]<<" "<<i[1]<<" "<<i[2]<<" ::: ";
    for(auto i:st){
        if(i[1]==0){
            continue;
        }        
        if(!v.size() || v[v.size()-1]< i[2]){
            v.push_back(i[0]-1);
            v.push_back(i[0]);
            continue;
        }
        
        if(v[v.size()-2] < i[2]){
            int t = i[0];
            if(v[v.size()-1]>=t)t--; 
            v.push_back(t);
            if(v[v.size()-1 ] < v[v.size()-2]) swap(v[v.size()-1],v[v.size()-2]);
            continue;
        }
        
    }
    // for(auto i:v) cout<<i<<" # ";
    return v.size(); 
    }
};
36000