leetcode-problemset/leetcode-cn/originData/maximum-alternating-sum-of-squares.json

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            "title": "Maximum Alternating Sum of Squares",
            "titleSlug": "maximum-alternating-sum-of-squares",
            "content": "<p>You are given an integer array <code>nums</code>. You may <strong>rearrange the elements</strong> in any order.</p>\n\n<p>The <strong>alternating score</strong> of an array <code>arr</code> is defined as:</p>\n\n<ul>\n\t<li><code>score = arr[0]<sup>2</sup> - arr[1]<sup>2</sup> + arr[2]<sup>2</sup> - arr[3]<sup>2</sup> + ...</code></li>\n</ul>\n\n<p>Return an integer denoting the <strong>maximum possible alternating score</strong> of <code>nums</code> after rearranging its elements.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>A possible rearrangement for <code>nums</code> is <code>[2,1,3]</code>, which gives the maximum alternating score among all possible rearrangements.</p>\n\n<p>The alternating score is calculated as:</p>\n\n<p><code>score = 2<sup>2</sup> - 1<sup>2</sup> + 3<sup>2</sup> = 4 - 1 + 9 = 12</code></p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,-1,2,-2,3,-3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">16</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>A possible rearrangement for <code>nums</code> is <code>[-3,-1,-2,1,3,2]</code>, which gives the maximum alternating score among all possible rearrangements.</p>\n\n<p>The alternating score is calculated as:</p>\n\n<p><code>score = (-3)<sup>2</sup> - (-1)<sup>2</sup> + (-2)<sup>2</sup> - (1)<sup>2</sup> + (3)<sup>2</sup> - (2)<sup>2</sup> = 9 - 1 + 4 - 1 + 9 - 4 = 16</code></p>\n</div>\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>-4 * 10<sup>4</sup> &lt;= nums[i] &lt;= 4 * 10<sup>4</sup></code></li>\n</ul>\n",
            "translatedTitle": "最大交替平方和",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code>。你可以以任意顺序&nbsp;<strong>重新排列元素&nbsp;</strong>。</p>\n\n<p>数组 <code>arr</code> 的&nbsp;<strong>交替得分&nbsp;</strong>定义为：</p>\n\n<ul>\n\t<li><code>score = arr[0]<sup>2</sup> - arr[1]<sup>2</sup> + arr[2]<sup>2</sup> - arr[3]<sup>2</sup> + ...</code></li>\n</ul>\n\n<p>在对 <code>nums</code> 重新排列后，返回其&nbsp;<strong>最大可能的交替得分</strong>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [1,2,3]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><code>nums</code> 的一种可行重排为 <code>[2,1,3]</code>，该排列在所有可能重排中给出了最大交替得分。</p>\n\n<p>交替得分计算如下：</p>\n\n<p><code>score = 2<sup>2</sup> - 1<sup>2</sup> + 3<sup>2</sup> = 4 - 1 + 9 = 12</code></p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [1,-1,2,-2,3,-3]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">16</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><code>nums</code> 的一种可行重排为 <code>[-3,-1,-2,1,3,2]</code>，该排列在所有可能重排中给出了最大交替得分。</p>\n\n<p>交替得分计算如下：</p>\n\n<p><code>score = (-3)<sup>2</sup> - (-1)<sup>2</sup> + (-2)<sup>2</sup> - (1)<sup>2</sup> + (3)<sup>2</sup> - (2)<sup>2</sup> = 9 - 1 + 4 - 1 + 9 - 4 = 16</code></p>\n</div>\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>-4 * 10<sup>4</sup> &lt;= nums[i] &lt;= 4 * 10<sup>4</sup></code></li>\n</ul>\n",
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