mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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174 lines
17 KiB
JSON
174 lines
17 KiB
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> </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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= nums.length == n <= 50</code></li>\n\t<li><code>1 <= nums[i] <= 50</code></li>\n\t<li><code>nums is a permutation.</code></li>\n</ul>\n",
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"Find the index of elements 1 and n.",
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"Let x be the position of 1 and y be the position of n. the answer is x + (n-y-1) if x < y and x + (n-y-1) - 1 if x > y."
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