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"categoryTitle": "Algorithms",
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"title": "Pancake Sorting",
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"content": "<p>Given an array of integers <code>arr</code>, sort the array by performing a series of <strong>pancake flips</strong>.</p>\n\n<p>In one pancake flip we do the following steps:</p>\n\n<ul>\n\t<li>Choose an integer <code>k</code> where <code>1 &lt;= k &lt;= arr.length</code>.</li>\n\t<li>Reverse the sub-array <code>arr[0...k-1]</code> (<strong>0-indexed</strong>).</li>\n</ul>\n\n<p>For example, if <code>arr = [3,2,1,4]</code> and we performed a pancake flip choosing <code>k = 3</code>, we reverse the sub-array <code>[3,2,1]</code>, so <code>arr = [<u>1</u>,<u>2</u>,<u>3</u>,4]</code> after the pancake flip at <code>k = 3</code>.</p>\n\n<p>Return <em>an array of the </em><code>k</code><em>-values corresponding to a sequence of pancake flips that sort </em><code>arr</code>. Any valid answer that sorts the array within <code>10 * arr.length</code> flips will be judged as correct.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [3,2,4,1]\n<strong>Output:</strong> [4,2,4,3]\n<strong>Explanation: </strong>\nWe perform 4 pancake flips, with k values 4, 2, 4, and 3.\nStarting state: arr = [3, 2, 4, 1]\nAfter 1st flip (k = 4): arr = [<u>1</u>, <u>4</u>, <u>2</u>, <u>3</u>]\nAfter 2nd flip (k = 2): arr = [<u>4</u>, <u>1</u>, 2, 3]\nAfter 3rd flip (k = 4): arr = [<u>3</u>, <u>2</u>, <u>1</u>, <u>4</u>]\nAfter 4th flip (k = 3): arr = [<u>1</u>, <u>2</u>, <u>3</u>, 4], which is sorted.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3]\n<strong>Output:</strong> []\n<strong>Explanation: </strong>The input is already sorted, so there is no need to flip anything.\nNote that other answers, such as [3, 3], would also be accepted.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= arr.length</code></li>\n\t<li>All integers in <code>arr</code> are unique (i.e. <code>arr</code> is a permutation of the integers from <code>1</code> to <code>arr.length</code>).</li>\n</ul>\n",
"translatedTitle": "煎饼排序",
"translatedContent": "<p>给你一个整数数组 <code>arr</code> ,请使用 <strong>煎饼翻转</strong><em> </em>完成对数组的排序。</p>\n\n<p>一次煎饼翻转的执行过程如下:</p>\n\n<ul>\n\t<li>选择一个整数 <code>k</code> <code>1 <= k <= arr.length</code></li>\n\t<li>反转子数组 <code>arr[0...k-1]</code><strong>下标从 0 开始</strong></li>\n</ul>\n\n<p>例如,<code>arr = [3,2,1,4]</code> ,选择 <code>k = 3</code> 进行一次煎饼翻转,反转子数组 <code>[3,2,1]</code> ,得到 <code>arr = [<strong>1</strong>,<strong>2</strong>,<strong>3</strong>,4]</code> 。</p>\n\n<p>以数组形式返回能使 <code>arr</code> 有序的煎饼翻转操作所对应的 <code>k</code> 值序列。任何将数组排序且翻转次数在 <code>10 * arr.length</code> 范围内的有效答案都将被判断为正确。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>[3,2,4,1]\n<strong>输出:</strong>[4,2,4,3]\n<strong>解释:</strong>\n我们执行 4 次煎饼翻转k 值分别为 424和 3。\n初始状态 arr = [3, 2, 4, 1]\n第一次翻转后k = 4arr = [<strong>1</strong>, <strong>4</strong>, <strong>2</strong>, <strong>3</strong>]\n第二次翻转后k = 2arr = [<strong>4</strong>, <strong>1</strong>, 2, 3]\n第三次翻转后k = 4arr = [<strong>3</strong>, <strong>2</strong>, <strong>1</strong>, <strong>4</strong>]\n第四次翻转后k = 3arr = [<strong>1</strong>, <strong>2</strong>, <strong>3</strong>, 4],此时已完成排序。 \n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>[1,2,3]\n<strong>输出:</strong>[]\n<strong>解释:\n</strong>输入已经排序,因此不需要翻转任何内容。\n请注意其他可能的答案如 [33] ,也将被判断为正确。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= arr.length <= 100</code></li>\n\t<li><code>1 <= arr[i] <= arr.length</code></li>\n\t<li><code>arr</code> 中的所有整数互不相同(即,<code>arr</code> 是从 <code>1</code> 到 <code>arr.length</code> 整数的一个排列)</li>\n</ul>\n",
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