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leetcode-problemset/leetcode-cn/originData/minimum-number-of-operations-to-make-string-sorted.json
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{
"data": {
"question": {
"questionId": "1941",
"questionFrontendId": "1830",
"categoryTitle": "Algorithms",
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"title": "Minimum Number of Operations to Make String Sorted",
"titleSlug": "minimum-number-of-operations-to-make-string-sorted",
"content": "<p>You are given a string <code>s</code> (<strong>0-indexed</strong>). You are asked to perform the following operation on <code>s</code> until you get a sorted string:</p>\n\n<ol>\n\t<li>Find <strong>the largest index</strong> <code>i</code> such that <code>1 &lt;= i &lt; s.length</code> and <code>s[i] &lt; s[i - 1]</code>.</li>\n\t<li>Find <strong>the largest index</strong> <code>j</code> such that <code>i &lt;= j &lt; s.length</code> and <code>s[k] &lt; s[i - 1]</code> for all the possible values of <code>k</code> in the range <code>[i, j]</code> inclusive.</li>\n\t<li>Swap the two characters at indices <code>i - 1</code> and <code>j</code>.</li>\n\t<li>Reverse the suffix starting at index <code>i</code>.</li>\n</ol>\n\n<p>Return <em>the number of operations needed to make the string sorted.</em> Since the answer can be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;cba&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The simulation goes as follows:\nOperation 1: i=2, j=2. Swap s[1] and s[2] to get s=&quot;cab&quot;, then reverse the suffix starting at 2. Now, s=&quot;cab&quot;.\nOperation 2: i=1, j=2. Swap s[0] and s[2] to get s=&quot;bac&quot;, then reverse the suffix starting at 1. Now, s=&quot;bca&quot;.\nOperation 3: i=2, j=2. Swap s[1] and s[2] to get s=&quot;bac&quot;, then reverse the suffix starting at 2. Now, s=&quot;bac&quot;.\nOperation 4: i=1, j=1. Swap s[0] and s[1] to get s=&quot;abc&quot;, then reverse the suffix starting at 1. Now, s=&quot;acb&quot;.\nOperation 5: i=2, j=2. Swap s[1] and s[2] to get s=&quot;abc&quot;, then reverse the suffix starting at 2. Now, s=&quot;abc&quot;.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;aabaa&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The simulation goes as follows:\nOperation 1: i=3, j=4. Swap s[2] and s[4] to get s=&quot;aaaab&quot;, then reverse the substring starting at 3. Now, s=&quot;aaaba&quot;.\nOperation 2: i=4, j=4. Swap s[3] and s[4] to get s=&quot;aaaab&quot;, then reverse the substring starting at 4. Now, s=&quot;aaaab&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 3000</code></li>\n\t<li><code>s</code> consists only of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "使字符串有序的最少操作次数",
"translatedContent": "<p>给你一个字符串 <code>s</code> <strong>下标从 0 开始</strong>)。你需要对 <code>s</code> 执行以下操作直到它变为一个有序字符串:</p>\n\n<ol>\n\t<li>找到 <strong>最大下标</strong> <code>i</code> ,使得 <code>1 &lt;= i &lt; s.length</code> 且 <code>s[i] &lt; s[i - 1]</code> 。</li>\n\t<li>找到 <strong>最大下标</strong> <code>j</code> ,使得 <code>i &lt;= j &lt; s.length</code> 且对于所有在闭区间 <code>[i, j]</code> 之间的 <code>k</code> 都有 <code>s[k] &lt; s[i - 1]</code> 。</li>\n\t<li>交换下标为 <code>i - 1</code> 和 <code>j</code> 处的两个字符。</li>\n\t<li>将下标 <code>i</code> 开始的字符串后缀反转。</li>\n</ol>\n\n<p>请你返回将字符串变成有序的最少操作次数。由于答案可能会很大,请返回它对 <code>10<sup>9</sup> + 7</code> <strong>取余</strong> 的结果。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>s = \"cba\"\n<b>输出:</b>5\n<b>解释:</b>模拟过程如下所示:\n操作 1i=2j=2。交换 s[1] 和 s[2] 得到 s=\"cab\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"cab\" 。\n操作 2i=1j=2。交换 s[0] 和 s[2] 得到 s=\"bac\" ,然后反转下标从 1 开始的后缀字符串,得到 s=\"bca\" 。\n操作 3i=2j=2。交换 s[1] 和 s[2] 得到 s=\"bac\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"bac\" 。\n操作 4i=1j=1。交换 s[0] 和 s[1] 得到 s=\"abc\" ,然后反转下标从 1 开始的后缀字符串,得到 s=\"acb\" 。\n操作 5i=2j=2。交换 s[1] 和 s[2] 得到 s=\"abc\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"abc\" 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>s = \"aabaa\"\n<b>输出:</b>2\n<b>解释:</b>模拟过程如下所示:\n操作 1i=3j=4。交换 s[2] 和 s[4] 得到 s=\"aaaab\" ,然后反转下标从 3 开始的后缀字符串,得到 s=\"aaaba\" 。\n操作 2i=4j=4。交换 s[3] 和 s[4] 得到 s=\"aaaab\" ,然后反转下标从 4 开始的后缀字符串,得到 s=\"aaaab\" 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>s = \"cdbea\"\n<b>输出:</b>63</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><b>输入:</b>s = \"leetcodeleetcodeleetcode\"\n<b>输出:</b>982157772\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 3000</code></li>\n\t<li><code>s</code> 只包含小写英文字母。</li>\n</ul>\n",
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