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

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            "title": "Shortest and Lexicographically Smallest Beautiful String",
            "titleSlug": "shortest-and-lexicographically-smallest-beautiful-string",
            "content": "<p>You are given a binary string <code>s</code> and a positive integer <code>k</code>.</p>\n\n<p>A substring of <code>s</code> is <strong>beautiful</strong> if the number of <code>1</code>&#39;s in it is exactly <code>k</code>.</p>\n\n<p>Let <code>len</code> be the length of the <strong>shortest</strong> beautiful substring.</p>\n\n<p>Return <em>the lexicographically <strong>smallest</strong> beautiful substring of string </em><code>s</code><em> with length equal to </em><code>len</code>. If <code>s</code> doesn&#39;t contain a beautiful substring, return <em>an <strong>empty</strong> string</em>.</p>\n\n<p>A string <code>a</code> is lexicographically <strong>larger</strong> 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;100011001&quot;, k = 3\n<strong>Output:</strong> &quot;11001&quot;\n<strong>Explanation:</strong> There are 7 beautiful substrings in this example:\n1. The substring &quot;<u>100011</u>001&quot;.\n2. The substring &quot;<u>1000110</u>01&quot;.\n3. The substring &quot;<u>10001100</u>1&quot;.\n4. The substring &quot;1<u>00011001</u>&quot;.\n5. The substring &quot;10<u>0011001</u>&quot;.\n6. The substring &quot;100<u>011001</u>&quot;.\n7. The substring &quot;1000<u>11001</u>&quot;.\nThe length of the shortest beautiful substring is 5.\nThe lexicographically smallest beautiful substring with length 5 is the substring &quot;11001&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1011&quot;, k = 2\n<strong>Output:</strong> &quot;11&quot;\n<strong>Explanation:</strong> There are 3 beautiful substrings in this example:\n1. The substring &quot;<u>101</u>1&quot;.\n2. The substring &quot;1<u>011</u>&quot;.\n3. The substring &quot;10<u>11</u>&quot;.\nThe length of the shortest beautiful substring is 2.\nThe lexicographically smallest beautiful substring with length 2 is the substring &quot;11&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;000&quot;, k = 1\n<strong>Output:</strong> &quot;&quot;\n<strong>Explanation:</strong> There are no beautiful substrings in this example.\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;= 100</code></li>\n\t<li><code>1 &lt;= k &lt;= s.length</code></li>\n</ul>\n",
            "translatedTitle": "最短且字典序最小的美丽子字符串",
            "translatedContent": "<p>给你一个二进制字符串 <code>s</code> 和一个正整数 <code>k</code> 。</p>\n\n<p>如果 <code>s</code> 的某个子字符串中 <code>1</code> 的个数恰好等于 <code>k</code> ，则称这个子字符串是一个 <strong>美丽子字符串</strong> 。</p>\n\n<p>令 <code>len</code> 等于 <strong>最短</strong> 美丽子字符串的长度。</p>\n\n<p>返回长度等于 <code>len</code> 且字典序 <strong>最小</strong> 的美丽子字符串。如果 <code>s</code> 中不含美丽子字符串，则返回一个 <strong>空</strong> 字符串。</p>\n\n<p>对于相同长度的两个字符串 <code>a</code> 和 <code>b</code> ，如果在 <code>a</code> 和 <code>b</code> 出现不同的第一个位置上，<code>a</code> 中该位置上的字符严格大于 <code>b</code> 中的对应字符，则认为字符串 <code>a</code> 字典序 <strong>大于</strong> 字符串 <code>b</code> 。</p>\n\n<ul>\n\t<li>例如，<code>\"abcd\"</code> 的字典序大于 <code>\"abcc\"</code> ，因为两个字符串出现不同的第一个位置对应第四个字符，而 <code>d</code> 大于 <code>c</code> 。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"100011001\", k = 3\n<strong>输出：</strong>\"11001\"\n<strong>解释：</strong>示例中共有 7 个美丽子字符串：\n1. 子字符串 \"<em><strong>100011</strong></em>001\" 。\n2. 子字符串 \"<strong><em>1000110</em></strong>01\" 。\n3. 子字符串 \"<strong><em>100011001</em></strong>\" 。\n4. 子字符串 \"1<strong><em>00011001</em></strong>\" 。\n5. 子字符串 \"10<strong><em>0011001</em></strong>\" 。\n6. 子字符串 \"100<em><strong>011001</strong></em>\" 。\n7. 子字符串 \"1000<strong><em>11001</em></strong>\" 。\n最短美丽子字符串的长度是 5 。\n长度为 5 且字典序最小的美丽子字符串是子字符串 \"11001\" 。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"1011\", k = 2\n<strong>输出：</strong>\"11\"\n<strong>解释：</strong>示例中共有 3 个美丽子字符串：\n1. 子字符串 \"<em><strong>101</strong></em>1\" 。\n2. 子字符串 \"1<em><strong>011</strong></em>\" 。\n3. 子字符串 \"10<em><strong>11</strong></em>\" 。\n最短美丽子字符串的长度是 2 。\n长度为 2 且字典序最小的美丽子字符串是子字符串 \"11\" 。 \n</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"000\", k = 1\n<strong>输出：</strong>\"\"\n<strong>解释：</strong>示例中不存在美丽子字符串。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= k &lt;= s.length</code></li>\n</ul>\n",
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                "Notice that if we consider that index <code>i</code> is the leftmost index of a beautiful substring, it has only one candidate <code>j</code>, such that <code>s[i:j]</code> is beautiful and shortest too.",
                "We can iterate over all possibilities of leftmost index <code>i</code> take <code>s[i:j]</code> and compare with the shortest and the lexicographically smallest beautiful string we could get before index <code>i</code>."
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