leetcode-problemset/leetcode-cn/originData/minimum-array-changes-to-make-differences-equal.json

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        "question": {
            "questionId": "3498",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum Array Changes to Make Differences Equal",
            "titleSlug": "minimum-array-changes-to-make-differences-equal",
            "content": "<p>You are given an integer array <code>nums</code> of size <code>n</code> where <code>n</code> is <strong>even</strong>, and an integer <code>k</code>.</p>\n\n<p>You can perform some changes on the array, where in one change you can replace <strong>any</strong> element in the array with <strong>any</strong> integer in the range from <code>0</code> to <code>k</code>.</p>\n\n<p>You need to perform some changes (possibly none) such that the final array satisfies the following condition:</p>\n\n<ul>\n\t<li>There exists an integer <code>X</code> such that <code>abs(a[i] - a[n - i - 1]) = X</code> for all <code>(0 &lt;= i &lt; n)</code>.</li>\n</ul>\n\n<p>Return the <strong>minimum</strong> number of changes required to satisfy the above condition.</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 = [1,0,1,2,4,3], k = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong><br />\nWe can perform the following changes:</p>\n\n<ul>\n\t<li>Replace <code>nums[1]</code> by 2. The resulting array is <code>nums = [1,<u><strong>2</strong></u>,1,2,4,3]</code>.</li>\n\t<li>Replace <code>nums[3]</code> by 3. The resulting array is <code>nums = [1,2,1,<u><strong>3</strong></u>,4,3]</code>.</li>\n</ul>\n\n<p>The integer <code>X</code> will be 2.</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 = [0,1,2,3,3,6,5,4], k = 6</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong><br />\nWe can perform the following operations:</p>\n\n<ul>\n\t<li>Replace <code>nums[3]</code> by 0. The resulting array is <code>nums = [0,1,2,<u><strong>0</strong></u>,3,6,5,4]</code>.</li>\n\t<li>Replace <code>nums[4]</code> by 4. The resulting array is <code>nums = [0,1,2,0,<strong><u>4</u></strong>,6,5,4]</code>.</li>\n</ul>\n\n<p>The integer <code>X</code> will be 4.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>n</code> is even.</li>\n\t<li><code>0 &lt;= nums[i] &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "使差值相等的最少数组改动次数",
            "translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>nums</code>&nbsp;，<code>n</code>&nbsp;是 <strong>偶数</strong>&nbsp;，同时给你一个整数&nbsp;<code>k</code>&nbsp;。</p>\n\n<p>你可以对数组进行一些操作。每次操作中，你可以将数组中 <strong>任一</strong>&nbsp;元素替换为 <code>0</code>&nbsp;到 <code>k</code>&nbsp;之间的<strong>&nbsp;任一</strong>&nbsp;整数。</p>\n\n<p>执行完所有操作以后，你需要确保最后得到的数组满足以下条件：</p>\n\n<ul>\n\t<li>存在一个整数 <code>X</code>&nbsp;，满足对于所有的&nbsp;<code>(0 &lt;= i &lt; n)</code>&nbsp;都有&nbsp;<code>abs(a[i] - a[n - i - 1]) = X</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回满足以上条件 <strong>最少</strong>&nbsp;修改次数。</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><span class=\"example-io\"><b>输入：</b>nums = [1,0,1,2,4,3], k = 4</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>2</span></p>\n\n<p><strong>解释：</strong><br />\n我们可以执行以下操作：</p>\n\n<ul>\n\t<li>将&nbsp;<code>nums[1]</code>&nbsp;变为 2 ，结果数组为&nbsp;<code>nums = [1,<em><strong>2</strong></em>,1,2,4,3]</code>&nbsp;。</li>\n\t<li>将&nbsp;<code>nums[3]</code>&nbsp;变为 3 ，结果数组为&nbsp;<code>nums = [1,2,1,<em><strong>3</strong></em>,4,3]</code>&nbsp;。</li>\n</ul>\n\n<p>整数&nbsp;<code>X</code>&nbsp;为 2 。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [0,1,2,3,3,6,5,4], k = 6</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>2</span></p>\n\n<p><strong>解释：</strong><br />\n我们可以执行以下操作：</p>\n\n<ul>\n\t<li>将&nbsp;<code>nums[3]</code>&nbsp;变为 0 ，结果数组为&nbsp;<code>nums = [0,1,2,<em><strong>0</strong></em>,3,6,5,4]</code>&nbsp;。</li>\n\t<li>将&nbsp;<code>nums[4]</code>&nbsp;变为 4 ，结果数组为&nbsp;<code>nums = [0,1,2,0,<em><strong>4</strong></em>,6,5,4]</code>&nbsp;。</li>\n</ul>\n\n<p>整数 <code>X</code>&nbsp;为 4 。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>n</code>&nbsp;是偶数。</li>\n\t<li><code>0 &lt;= nums[i] &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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