leetcode-problemset/leetcode-cn/originData/minimum-score-by-changing-two-elements.json

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            "title": "Minimum Score by Changing Two Elements",
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            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>.</p>\n\n<ul>\n\t<li>The <strong>low</strong> score of <code><font face=\"monospace\">nums</font></code> is the minimum value of <code>|nums[i]&nbsp;- nums[j]|</code> over all <code>0 &lt;= i &lt; j &lt; nums.length</code>.</li>\n\t<li>The <strong>high</strong> score of&nbsp;<code><font face=\"monospace\">nums</font></code> is the maximum value of <code>|nums[i]&nbsp;- nums[j]|</code> over all <code>0 &lt;= i &lt; j &lt; nums.length</code>.</li>\n\t<li>The <strong>score</strong> of <code>nums</code> is the sum of the <strong>high</strong> and <strong>low</strong> scores of nums.</li>\n</ul>\n\n<p>To minimize the score of <code>nums</code>, we can change the value of <strong>at most two</strong> elements of <code>nums</code>.</p>\n\n<p>Return <em>the <strong>minimum</strong> possible <strong>score</strong> after changing&nbsp;the value of <strong>at most two</strong> elements o</em>f <code>nums</code>.</p>\n\n<p>Note that <code>|x|</code> denotes the absolute value of <code>x</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,3]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> Change value of nums[1] and nums[2] to 1 so that nums becomes [1,1,1]. Now, the value of <code>|nums[i] - nums[j]|</code> is always equal to 0, so we return 0 + 0 = 0.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,7,8,5]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Change nums[0] and nums[1] to be 6. Now nums becomes [6,6,7,8,5].\nOur low score is achieved when i = 0 and j = 1, in which case |<code>nums[i] - nums[j]</code>| = |6 - 6| = 0.\nOur high score is achieved when i = 3 and j = 4, in which case |<code>nums[i] - nums[j]</code>| = |8 - 5| = 3.\nThe sum of our high and low score is 3, which we can prove to be minimal.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "修改两个元素的最小分数",
            "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;。</p>\n\n<ul>\n\t<li><code>nums</code> 的 <strong>最小</strong>&nbsp;得分是满足 <code>0 &lt;= i &lt; j &lt; nums.length</code>&nbsp;的&nbsp;<code>|nums[i]&nbsp;- nums[j]|</code>&nbsp;的最小值。</li>\n\t<li><code>nums</code>的 <strong>最大 </strong>得分是满足 <code>0 &lt;= i &lt; j &lt; nums.length</code>&nbsp;的&nbsp;<code>|nums[i]&nbsp;- nums[j]|</code>&nbsp;的最大值。</li>\n\t<li><code>nums</code>&nbsp;的分数是 <strong>最大</strong>&nbsp;得分与 <strong>最小</strong>&nbsp;得分的和。</li>\n</ul>\n\n<p>我们的目标是最小化&nbsp;<code>nums</code>&nbsp;的分数。你 <strong>最多</strong> 可以修改&nbsp;<code>nums</code>&nbsp;中&nbsp;<strong>2</strong>&nbsp;个元素的值。</p>\n\n<p>请你返回修改&nbsp;<code>nums</code>&nbsp;中&nbsp;<strong>至多两个</strong>&nbsp;元素的值后，可以得到的 <strong>最小分数</strong>&nbsp;。</p>\n\n<p><code>|x|</code>&nbsp;表示 <code>x</code>&nbsp;的绝对值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,4,3]\n<b>输出：</b>0\n<b>解释：</b>将 nums[1] 和 nums[2] 的值改为 1 ，nums 变为 [1,1,1] 。<code>|nums[i] - nums[j]|</code> 的值永远为 0 ，所以我们返回 0 + 0 = 0 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,4,7,8,5]\n<b>输出：</b>3\n<b>解释：\n</b>将 nums[0] 和 nums[1] 的值变为 6 ，nums 变为 [6,6,7,8,5] 。\n最小得分是 i = 0 且 j = 1 时得到的 |<code>nums[i] - nums[j]</code>| = |6 - 6| = 0 。\n最大得分是 i = 3 且 j = 4 时得到的 |<code>nums[i] - nums[j]</code>| = |8 - 5| = 3 。\n最大得分与最小得分之和为 3 。这是最优答案。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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