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leetcode-problemset/leetcode-cn/originData/maximum-strength-of-a-group.json
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"question": {
"questionId": "2754",
"questionFrontendId": "2708",
"categoryTitle": "Algorithms",
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"title": "Maximum Strength of a Group",
"titleSlug": "maximum-strength-of-a-group",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code> representing the score of students in an exam. The teacher would like to form one <strong>non-empty</strong> group of students with maximal <strong>strength</strong>, where the strength of a group of students of indices <code>i<sub>0</sub></code>, <code>i<sub>1</sub></code>, <code>i<sub>2</sub></code>, ... , <code>i<sub>k</sub></code> is defined as <code>nums[i<sub>0</sub>] * nums[i<sub>1</sub>] * nums[i<sub>2</sub>] * ... * nums[i<sub>k</sub>]</code>.</p>\n\n<p>Return <em>the maximum strength of a group the teacher can create</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,-1,-5,2,5,-9]\n<strong>Output:</strong> 1350\n<strong>Explanation:</strong> One way to form a group of maximal strength is to group the students at indices [0,2,3,4,5]. Their strength is 3 * (-5) * 2 * 5 * (-9) = 1350, which we can show is optimal.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [-4,-5,-4]\n<strong>Output:</strong> 20\n<strong>Explanation:</strong> Group the students at indices [0, 1] . Then, we&rsquo;ll have a resulting strength of 20. We cannot achieve greater strength.\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;= 13</code></li>\n\t<li><code>-9 &lt;= nums[i] &lt;= 9</code></li>\n</ul>\n",
"translatedTitle": "一个小组的最大实力值",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums</code>&nbsp;,它表示一个班级中所有学生在一次考试中的成绩。老师想选出一部分同学组成一个 <strong>非空</strong>&nbsp;小组,且这个小组的 <strong>实力值</strong>&nbsp;最大,如果这个小组里的学生下标为&nbsp;<code>i<sub>0</sub></code>, <code>i<sub>1</sub></code>, <code>i<sub>2</sub></code>, ... , <code>i<sub>k</sub></code>&nbsp;,那么这个小组的实力值定义为&nbsp;<code>nums[i<sub>0</sub>] * nums[i<sub>1</sub>] * nums[i<sub>2</sub>] * ... * nums[i<sub>k</sub>]</code>&nbsp;。</p>\n\n<p>请你返回老师创建的小组能得到的最大实力值为多少。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>nums = [3,-1,-5,2,5,-9]\n<strong>输出:</strong>1350\n<b>解释:</b>一种构成最大实力值小组的方案是选择下标为 [0,2,3,4,5] 的学生。实力值为 3 * (-5) * 2 * 5 * (-9) = 1350 ,这是可以得到的最大实力值。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>nums = [-4,-5,-4]\n<b>输出:</b>20\n<b>解释:</b>选择下标为 [0, 1] 的学生。得到的实力值为 20 。我们没法得到更大的实力值。\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;= 13</code></li>\n\t<li><code>-9 &lt;= nums[i] &lt;= 9</code></li>\n</ul>\n",
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"Try to generate all pairs of subsets and check which group provides maximal strength.",
"It can also be solved in O(NlogN) by sorting the array and using all positive integers.",
"Use negative integers only in pairs such that their product becomes positive."
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