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leetcode-problemset/leetcode/originData/divide-intervals-into-minimum-number-of-groups.json
2022-09-17 21:23:12 +08:00

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"title": "Divide Intervals Into Minimum Number of Groups",
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"content": "<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>\n\n<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>\n\n<p>Return <em>the <strong>minimum</strong> number of groups you need to make</em>.</p>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> intervals = [[5,10],[6,8],[1,5],[2,3],[1,10]]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can divide the intervals into the following groups:\n- Group 1: [1, 5], [6, 8].\n- Group 2: [2, 3], [5, 10].\n- Group 3: [1, 10].\nIt can be proven that it is not possible to divide the intervals into fewer than 3 groups.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> intervals = [[1,3],[5,6],[8,10],[11,13]]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> None of the intervals overlap, so we can put all of them in one group.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= intervals.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>intervals[i].length == 2</code></li>\n\t<li><code>1 &lt;= left<sub>i</sub> &lt;= right<sub>i</sub> &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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"hints": [
"Can you find a different way to describe the question?",
"The minimum number of groups we need is equivalent to the maximum number of intervals that overlap at some point. How can you find that?"
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