leetcode-problemset/leetcode-cn/originData/minimize-maximum-pair-sum-in-array.json

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            "title": "Minimize Maximum Pair Sum in Array",
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            "content": "<p>The <strong>pair sum</strong> of a pair <code>(a,b)</code> is equal to <code>a + b</code>. The <strong>maximum pair sum</strong> is the largest <strong>pair sum</strong> in a list of pairs.</p>\r\n\r\n<ul>\r\n\t<li>For example, if we have pairs <code>(1,5)</code>, <code>(2,3)</code>, and <code>(4,4)</code>, the <strong>maximum pair sum</strong> would be <code>max(1+5, 2+3, 4+4) = max(6, 5, 8) = 8</code>.</li>\r\n</ul>\r\n\r\n<p>Given an array <code>nums</code> of <strong>even</strong> length <code>n</code>, pair up the elements of <code>nums</code> into <code>n / 2</code> pairs such that:</p>\r\n\r\n<ul>\r\n\t<li>Each element of <code>nums</code> is in <strong>exactly one</strong> pair, and</li>\r\n\t<li>The <strong>maximum pair sum </strong>is <strong>minimized</strong>.</li>\r\n</ul>\r\n\r\n<p>Return <em>the minimized <strong>maximum pair sum</strong> after optimally pairing up the elements</em>.</p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [3,5,2,3]\r\n<strong>Output:</strong> 7\r\n<strong>Explanation:</strong> The elements can be paired up into pairs (3,3) and (5,2).\r\nThe maximum pair sum is max(3+3, 5+2) = max(6, 7) = 7.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [3,5,4,2,4,6]\r\n<strong>Output:</strong> 8\r\n<strong>Explanation:</strong> The elements can be paired up into pairs (3,5), (4,4), and (6,2).\r\nThe maximum pair sum is max(3+5, 4+4, 6+2) = max(8, 8, 8) = 8.\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>n == nums.length</code></li>\r\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\r\n\t<li><code>n</code> is <strong>even</strong>.</li>\r\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\r\n</ul>",
            "translatedTitle": "数组中最大数对和的最小值",
            "translatedContent": "<p>一个数对 <code>(a,b)</code> 的 <strong>数对和</strong> 等于 <code>a + b</code> 。<strong>最大数对和</strong> 是一个数对数组中最大的 <strong>数对和</strong> 。</p>\n\n<ul>\n\t<li>比方说，如果我们有数对 <code>(1,5)</code> ，<code>(2,3)</code> 和 <code>(4,4)</code>，<strong>最大数对和</strong> 为 <code>max(1+5, 2+3, 4+4) = max(6, 5, 8) = 8</code> 。</li>\n</ul>\n\n<p>给你一个长度为 <strong>偶数</strong> <code>n</code> 的数组 <code>nums</code> ，请你将 <code>nums</code> 中的元素分成 <code>n / 2</code> 个数对，使得：</p>\n\n<ul>\n\t<li><code>nums</code> 中每个元素 <strong>恰好</strong> 在 <strong>一个</strong> 数对中，且</li>\n\t<li><strong>最大数对和</strong> 的值 <strong>最小</strong> 。</li>\n</ul>\n\n<p>请你在最优数对划分的方案下，返回最小的 <strong>最大数对和</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>nums = [3,5,2,3]\n<b>输出：</b>7\n<b>解释：</b>数组中的元素可以分为数对 (3,3) 和 (5,2) 。\n最大数对和为 max(3+3, 5+2) = max(6, 7) = 7 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>nums = [3,5,4,2,4,6]\n<b>输出：</b>8\n<b>解释：</b>数组中的元素可以分为数对 (3,5)，(4,4) 和 (6,2) 。\n最大数对和为 max(3+5, 4+4, 6+2) = max(8, 8, 8) = 8 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>n</code> 是 <strong>偶数</strong> 。</li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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