leetcode-problemset/leetcode-cn/originData/maximum-number-of-groups-entering-a-competition.json

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            "title": "Maximum Number of Groups Entering a Competition",
            "titleSlug": "maximum-number-of-groups-entering-a-competition",
            "content": "<p>You are given a positive integer array <code>grades</code> which represents the grades of students in a university. You would like to enter <strong>all</strong> these students into a competition in <strong>ordered</strong> non-empty groups, such that the ordering meets the following conditions:</p>\n\n<ul>\n\t<li>The sum of the grades of students in the <code>i<sup>th</sup></code> group is <strong>less than</strong> the sum of the grades of students in the <code>(i + 1)<sup>th</sup></code> group, for all groups (except the last).</li>\n\t<li>The total number of students in the <code>i<sup>th</sup></code> group is <strong>less than</strong> the total number of students in the <code>(i + 1)<sup>th</sup></code> group, for all groups (except the last).</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> number of groups that can be formed</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> grades = [10,6,12,7,3,5]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The following is a possible way to form 3 groups of students:\n- 1<sup>st</sup> group has the students with grades = [12]. Sum of grades: 12. Student count: 1\n- 2<sup>nd</sup> group has the students with grades = [6,7]. Sum of grades: 6 + 7 = 13. Student count: 2\n- 3<sup>rd</sup> group has the students with grades = [10,3,5]. Sum of grades: 10 + 3 + 5 = 18. Student count: 3\nIt can be shown that it is not possible to form more than 3 groups.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> grades = [8,8]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We can only form 1 group, since forming 2 groups would lead to an equal number of students in both groups.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= grades.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= grades[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "分组的最大数量",
            "translatedContent": "<p>给你一个正整数数组 <code>grades</code> ，表示大学中一些学生的成绩。你打算将 <strong>所有</strong> 学生分为一些 <strong>有序</strong> 的非空分组，其中分组间的顺序满足以下全部条件：</p>\n\n<ul>\n\t<li>第 <code>i</code> 个分组中的学生总成绩 <strong>小于</strong> 第 <code>(i + 1)</code> 个分组中的学生总成绩，对所有组均成立（除了最后一组）。</li>\n\t<li>第 <code>i</code> 个分组中的学生总数 <strong>小于</strong> 第 <code>(i + 1)</code> 个分组中的学生总数，对所有组均成立（除了最后一组）。</li>\n</ul>\n\n<p>返回可以形成的 <strong>最大</strong> 组数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>grades = [10,6,12,7,3,5]\n<strong>输出：</strong>3\n<strong>解释：</strong>下面是形成 3 个分组的一种可行方法：\n- 第 1 个分组的学生成绩为 grades = [12] ，总成绩：12 ，学生数：1\n- 第 2 个分组的学生成绩为 grades = [6,7] ，总成绩：6 + 7 = 13 ，学生数：2\n- 第 3 个分组的学生成绩为 grades = [10,3,5] ，总成绩：10 + 3 + 5 = 18 ，学生数：3 \n可以证明无法形成超过 3 个分组。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>grades = [8,8]\n<strong>输出：</strong>1\n<strong>解释：</strong>只能形成 1 个分组，因为如果要形成 2 个分组的话，会导致每个分组中的学生数目相等。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= grades.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= grades[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                "Notice that, after sorting, we can separate them into groups of sizes 1, 2, 3, and so on.",
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