leetcode-problemset/leetcode-cn/originData/divide-intervals-into-minimum-number-of-groups.json

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            "title": "Divide Intervals Into Minimum Number of Groups",
            "titleSlug": "divide-intervals-into-minimum-number-of-groups",
            "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",
            "translatedTitle": "将区间分为最少组数",
            "translatedContent": "<p>给你一个二维整数数组&nbsp;<code>intervals</code>&nbsp;，其中&nbsp;<code>intervals[i] = [left<sub>i</sub>, right<sub>i</sub>]</code>&nbsp;表示 <strong>闭</strong>&nbsp;区间&nbsp;<code>[left<sub>i</sub>, right<sub>i</sub>]</code>&nbsp;。</p>\n\n<p>你需要将&nbsp;<code>intervals</code> 划分为一个或者多个区间&nbsp;<strong>组</strong>&nbsp;，每个区间 <b>只</b>&nbsp;属于一个组，且同一个组中任意两个区间 <strong>不相交</strong>&nbsp;。</p>\n\n<p>请你返回 <strong>最少</strong>&nbsp;需要划分成多少个组。</p>\n\n<p>如果两个区间覆盖的范围有重叠（即至少有一个公共数字），那么我们称这两个区间是 <strong>相交</strong>&nbsp;的。比方说区间&nbsp;<code>[1, 5]</code> 和&nbsp;<code>[5, 8]</code>&nbsp;相交。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>intervals = [[5,10],[6,8],[1,5],[2,3],[1,10]]\n<b>输出：</b>3\n<b>解释：</b>我们可以将区间划分为如下的区间组：\n- 第 1 组：[1, 5] ，[6, 8] 。\n- 第 2 组：[2, 3] ，[5, 10] 。\n- 第 3 组：[1, 10] 。\n可以证明无法将区间划分为少于 3 个组。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>intervals = [[1,3],[5,6],[8,10],[11,13]]\n<b>输出：</b>1\n<b>解释：</b>所有区间互不相交，所以我们可以把它们全部放在一个组内。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</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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                "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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