leetcode-problemset/leetcode-cn/originData/happy-students.json

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            "categoryTitle": "Algorithms",
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            "title": "Happy Students",
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            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> of length <code>n</code> where <code>n</code> is the total number of students in the class. The class teacher tries to select a group of students so that all the students remain happy.</p>\n\n<p>The <code>i<sup>th</sup></code> student will become happy if one of these two conditions is met:</p>\n\n<ul>\n\t<li>The student is selected and the total number of selected students is<strong> strictly greater than</strong> <code>nums[i]</code>.</li>\n\t<li>The student is not selected and the total number of selected students is <strong>strictly</strong> <strong>less than</strong> <code>nums[i]</code>.</li>\n</ul>\n\n<p>Return <em>the number of ways to select a group of students so that everyone remains happy.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \nThe two possible ways are:\nThe class teacher selects no student.\nThe class teacher selects both students to form the group. \nIf the class teacher selects just one student to form a group then the both students will not be happy. Therefore, there are only two possible ways.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,0,3,3,6,7,2,7]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> \nThe three possible ways are:\nThe class teacher selects the student with index = 1 to form the group.\nThe class teacher selects the students with index = 1, 2, 3, 6 to form the group.\nThe class teacher selects all the students to form the group.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt; nums.length</code></li>\n</ul>\n",
            "translatedTitle": "让所有学生保持开心的分组方法数",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始、长度为 <code>n</code> 的整数数组 <code>nums</code> ，其中 <code>n</code> 是班级中学生的总数。班主任希望能够在让所有学生保持开心的情况下选出一组学生：</p>\n\n<p>如果能够满足下述两个条件之一，则认为第 <code>i</code> 位学生将会保持开心：</p>\n\n<ul>\n\t<li>这位学生被选中，并且被选中的学生人数 <strong>严格大于</strong> <code>nums[i]</code> 。</li>\n\t<li>这位学生没有被选中，并且被选中的学生人数 <strong>严格小于</strong> <code>nums[i]</code> 。</li>\n</ul>\n\n<p>返回能够满足让所有学生保持开心的分组方法的数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,1]\n<strong>输出：</strong>2\n<strong>解释：</strong>\n有两种可行的方法：\n班主任没有选中学生。\n班主任选中所有学生形成一组。 \n如果班主任仅选中一个学生来完成分组，那么两个学生都无法保持开心。因此，仅存在两种可行的方法。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [6,0,3,3,6,7,2,7]\n<strong>输出：</strong>3\n<strong>解释：</strong>\n存在三种可行的方法：\n班主任选中下标为 1 的学生形成一组。\n班主任选中下标为 1、2、3、6 的学生形成一组。\n班主任选中所有学生形成一组。 \n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt; nums.length</code></li>\n</ul>\n",
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