leetcode-problemset/leetcode-cn/originData/semi-ordered-permutation.json

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            "title": "Semi-Ordered Permutation",
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            "content": "<p>You are given a <strong>0-indexed</strong> permutation of <code>n</code> integers <code>nums</code>.</p>\n\n<p>A permutation is called <strong>semi-ordered</strong> if the first number equals <code>1</code> and the last number equals <code>n</code>. You can perform the below operation as many times as you want until you make <code>nums</code> a <strong>semi-ordered</strong> permutation:</p>\n\n<ul>\n\t<li>Pick two adjacent elements in <code>nums</code>, then swap them.</li>\n</ul>\n\n<p>Return <em>the minimum number of operations to make </em><code>nums</code><em> a <strong>semi-ordered permutation</strong></em>.</p>\n\n<p>A <strong>permutation</strong> is a sequence of integers from <code>1</code> to <code>n</code> of length <code>n</code> containing each number exactly once.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,4,3]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We can make the permutation semi-ordered using these sequence of operations: \n1 - swap i = 0 and j = 1. The permutation becomes [1,2,4,3].\n2 - swap i = 2 and j = 3. The permutation becomes [1,2,3,4].\nIt can be proved that there is no sequence of less than two operations that make nums a semi-ordered permutation. \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,1,3]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can make the permutation semi-ordered using these sequence of operations:\n1 - swap i = 1 and j = 2. The permutation becomes [2,1,4,3].\n2 - swap i = 0 and j = 1. The permutation becomes [1,2,4,3].\n3 - swap i = 2 and j = 3. The permutation becomes [1,2,3,4].\nIt can be proved that there is no sequence of less than three operations that make nums a semi-ordered permutation.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,3,4,2,5]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> The permutation is already a semi-ordered permutation.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length == n &lt;= 50</code></li>\n\t<li><code>1 &lt;= nums[i]&nbsp;&lt;= 50</code></li>\n\t<li><code>nums is a permutation.</code></li>\n</ul>\n",
            "translatedTitle": "半有序排列",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始、长度为 <code>n</code> 的整数排列 <code>nums</code> 。</p>\n\n<p>如果排列的第一个数字等于 <code>1</code> 且最后一个数字等于 <code>n</code> ，则称其为 <strong>半有序排列</strong> 。你可以执行多次下述操作，直到将 <code>nums</code> 变成一个 <strong>半有序排列</strong> ：</p>\n\n<ul>\n\t<li>选择 <code>nums</code> 中相邻的两个元素，然后交换它们。</li>\n</ul>\n\n<p>返回使 <code>nums</code> 变成 <strong>半有序排列</strong> 所需的最小操作次数。</p>\n\n<p><strong>排列</strong> 是一个长度为 <code>n</code> 的整数序列，其中包含从 <code>1</code> 到 <code>n</code> 的每个数字恰好一次。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,1,4,3]\n<strong>输出：</strong>2\n<strong>解释：</strong>可以依次执行下述操作得到半有序排列：\n1 - 交换下标 0 和下标 1 对应元素。排列变为 [1,2,4,3] 。\n2 - 交换下标 2 和下标 3 对应元素。排列变为 [1,2,3,4] 。\n可以证明，要让 nums 成为半有序排列，不存在执行操作少于 2 次的方案。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,4,1,3]\n<strong>输出：</strong>3\n<strong>解释：\n</strong>可以依次执行下述操作得到半有序排列：\n1 - 交换下标 1 和下标 2 对应元素。排列变为 [2,1,4,3] 。\n2 - 交换下标 0 和下标 1 对应元素。排列变为 [1,2,4,3] 。\n3 - 交换下标 2 和下标 3 对应元素。排列变为 [1,2,3,4] 。\n可以证明，要让 nums 成为半有序排列，不存在执行操作少于 3 次的方案。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,3,4,2,5]\n<strong>输出：</strong>0\n<strong>解释：</strong>这个排列已经是一个半有序排列，无需执行任何操作。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length == n &lt;= 50</code></li>\n\t<li><code>1 &lt;= nums[i]&nbsp;&lt;= 50</code></li>\n\t<li><code>nums</code> 是一个 <strong>排列</strong></li>\n</ul>\n",
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