<p>You are given a 2D integer array <code>intervals</code> where <code>intervals[i] = [left<sub>i</sub>, right<sub>i</sub>]</code> represents the <strong>inclusive</strong> interval <code>[left<sub>i</sub>, right<sub>i</sub>]</code>.</p>

<p>You have to divide the intervals into one or more <strong>groups</strong> such that each interval is in <strong>exactly</strong> one group, and no two intervals that are in the same group <strong>intersect</strong> each other.</p>

<p>Return <em>the <strong>minimum</strong> number of groups you need to make</em>.</p>

<p>Two intervals <strong>intersect</strong> if there is at least one common number between them. For example, the intervals <code>[1, 5]</code> and <code>[5, 8]</code> intersect.</p>

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

<pre>
<strong>Input:</strong> intervals = [[5,10],[6,8],[1,5],[2,3],[1,10]]
<strong>Output:</strong> 3
<strong>Explanation:</strong> We can divide the intervals into the following groups:
- Group 1: [1, 5], [6, 8].
- Group 2: [2, 3], [5, 10].
- Group 3: [1, 10].
It can be proven that it is not possible to divide the intervals into fewer than 3 groups.
</pre>

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

<pre>
<strong>Input:</strong> intervals = [[1,3],[5,6],[8,10],[11,13]]
<strong>Output:</strong> 1
<strong>Explanation:</strong> None of the intervals overlap, so we can put all of them in one group.
</pre>

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

<ul>
	<li><code>1 &lt;= intervals.length &lt;= 10<sup>5</sup></code></li>
	<li><code>intervals[i].length == 2</code></li>
	<li><code>1 &lt;= left<sub>i</sub> &lt;= right<sub>i</sub> &lt;= 10<sup>6</sup></code></li>
</ul>

class Solution:
    def minGroups(self, intervals: List[List[int]]) -> int:
        intervals.sort()
        sta_end_time = []
        for sta, end in intervals:
            heapq.heappush(sta_end_time, [sta,-1])
            heapq.heappush(sta_end_time, [end,1])
        ngroup  = 0
        out = 1
        while sta_end_time:
            t, dgroup = heapq.heappop(sta_end_time)
            ngroup += -dgroup
            out = max(out, ngroup)
        return out
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