leetcode-problemset/leetcode-cn/originData/lexicographically-smallest-beautiful-string.json

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        "question": {
            "questionId": "2687",
            "questionFrontendId": "2663",
            "categoryTitle": "Algorithms",
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            "title": "Lexicographically Smallest Beautiful String",
            "titleSlug": "lexicographically-smallest-beautiful-string",
            "content": "<p>A string is <strong>beautiful</strong> if:</p>\n\n<ul>\n\t<li>It consists of the first <code>k</code> letters of the English lowercase alphabet.</li>\n\t<li>It does not contain any substring of length <code>2</code> or more which is a palindrome.</li>\n</ul>\n\n<p>You are given a beautiful string <code>s</code> of length <code>n</code> and a positive integer <code>k</code>.</p>\n\n<p>Return <em>the lexicographically smallest string of length </em><code>n</code><em>, which is larger than </em><code>s</code><em> and is <strong>beautiful</strong></em>. If there is no such string, return an empty string.</p>\n\n<p>A string <code>a</code> is lexicographically larger than a string <code>b</code> (of the same length) if in the first position where <code>a</code> and <code>b</code> differ, <code>a</code> has a character strictly larger than the corresponding character in <code>b</code>.</p>\n\n<ul>\n\t<li>For example, <code>&quot;abcd&quot;</code> is lexicographically larger than <code>&quot;abcc&quot;</code> because the first position they differ is at the fourth character, and <code>d</code> is greater than <code>c</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abcz&quot;, k = 26\n<strong>Output:</strong> &quot;abda&quot;\n<strong>Explanation:</strong> The string &quot;abda&quot; is beautiful and lexicographically larger than the string &quot;abcz&quot;.\nIt can be proven that there is no string that is lexicographically larger than the string &quot;abcz&quot;, beautiful, and lexicographically smaller than the string &quot;abda&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;dc&quot;, k = 4\n<strong>Output:</strong> &quot;&quot;\n<strong>Explanation:</strong> It can be proven that there is no string that is lexicographically larger than the string &quot;dc&quot; and is beautiful.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>4 &lt;= k &lt;= 26</code></li>\n\t<li><code>s</code> is a beautiful string.</li>\n</ul>\n",
            "translatedTitle": "字典序最小的美丽字符串",
            "translatedContent": "<p>如果一个字符串满足以下条件，则称其为 <strong>美丽字符串</strong> ：</p>\n\n<ul>\n\t<li>它由英语小写字母表的前 <code>k</code> 个字母组成。</li>\n\t<li>它不包含任何长度为 <code>2</code> 或更长的回文子字符串。</li>\n</ul>\n\n<p>给你一个长度为 <code>n</code> 的美丽字符串 <code>s</code> 和一个正整数 <code>k</code> 。</p>\n\n<p>请你找出并返回一个长度为 <code>n</code> 的美丽字符串，该字符串还满足：在字典序大于 <code>s</code> 的所有美丽字符串中字典序最小。如果不存在这样的字符串，则返回一个空字符串。</p>\n\n<p>对于长度相同的两个字符串 <code>a</code> 和 <code>b</code> ，如果字符串 <code>a</code> 在与字符串 <code>b</code> 不同的第一个位置上的字符字典序更大，则字符串 <code>a</code> 的字典序大于字符串 <code>b</code> 。</p>\n\n<ul>\n\t<li>例如，<code>\"abcd\"</code> 的字典序比 <code>\"abcc\"</code> 更大，因为在不同的第一个位置（第四个字符）上 <code>d</code> 的字典序大于 <code>c</code> 。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"abcz\", k = 26\n<strong>输出：</strong>\"abda\"\n<strong>解释：</strong>字符串 \"abda\" 既是美丽字符串，又满足字典序大于 \"abcz\" 。\n可以证明不存在字符串同时满足字典序大于 \"abcz\"、美丽字符串、字典序小于 \"abda\" 这三个条件。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"dc\", k = 4\n<strong>输出：</strong>\"\"\n<strong>解释：</strong>可以证明，不存在既是美丽字符串，又字典序大于 \"dc\" 的字符串。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>4 &lt;= k &lt;= 26</code></li>\n\t<li><code>s</code> 是一个美丽字符串</li>\n</ul>\n",
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            "hints": [
                "If the string does not contain any palindromic substrings of lengths 2 and 3, then the string does not contain any palindromic substrings at all.",
                "Iterate from right to left and if it is possible to increase character at index i without creating any palindromic substrings of lengths 2 and 3, then increase it.",
                "After increasing the character at index i, set every character after index i equal to character a. With this, we will ensure that we have created a lexicographically larger string than s, which does not contain any palindromes before index i and is lexicographically the smallest.",
                "Finally, we are just left with a case to fix palindromic substrings, which come after index i. This can be done with a similar method mentioned in the second hint."
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