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leetcode-problemset/leetcode-cn/originData/construct-smallest-number-from-di-string.json
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"question": {
"questionId": "2456",
"questionFrontendId": "2375",
"categoryTitle": "Algorithms",
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"title": "Construct Smallest Number From DI String",
"titleSlug": "construct-smallest-number-from-di-string",
"content": "<p>You are given a <strong>0-indexed</strong> string <code>pattern</code> of length <code>n</code> consisting of the characters <code>&#39;I&#39;</code> meaning <strong>increasing</strong> and <code>&#39;D&#39;</code> meaning <strong>decreasing</strong>.</p>\n\n<p>A <strong>0-indexed</strong> string <code>num</code> of length <code>n + 1</code> is created using the following conditions:</p>\n\n<ul>\n\t<li><code>num</code> consists of the digits <code>&#39;1&#39;</code> to <code>&#39;9&#39;</code>, where each digit is used <strong>at most</strong> once.</li>\n\t<li>If <code>pattern[i] == &#39;I&#39;</code>, then <code>num[i] &lt; num[i + 1]</code>.</li>\n\t<li>If <code>pattern[i] == &#39;D&#39;</code>, then <code>num[i] &gt; num[i + 1]</code>.</li>\n</ul>\n\n<p>Return <em>the lexicographically <strong>smallest</strong> possible string </em><code>num</code><em> that meets the conditions.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> pattern = &quot;IIIDIDDD&quot;\n<strong>Output:</strong> &quot;123549876&quot;\n<strong>Explanation:\n</strong>At indices 0, 1, 2, and 4 we must have that num[i] &lt; num[i+1].\nAt indices 3, 5, 6, and 7 we must have that num[i] &gt; num[i+1].\nSome possible values of num are &quot;245639871&quot;, &quot;135749862&quot;, and &quot;123849765&quot;.\nIt can be proven that &quot;123549876&quot; is the smallest possible num that meets the conditions.\nNote that &quot;123414321&quot; is not possible because the digit &#39;1&#39; is used more than once.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> pattern = &quot;DDD&quot;\n<strong>Output:</strong> &quot;4321&quot;\n<strong>Explanation:</strong>\nSome possible values of num are &quot;9876&quot;, &quot;7321&quot;, and &quot;8742&quot;.\nIt can be proven that &quot;4321&quot; is the smallest possible num that meets the conditions.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= pattern.length &lt;= 8</code></li>\n\t<li><code>pattern</code> consists of only the letters <code>&#39;I&#39;</code> and <code>&#39;D&#39;</code>.</li>\n</ul>\n",
"translatedTitle": "根据模式串构造最小数字",
"translatedContent": "<p>给你下标从 <strong>0</strong> 开始、长度为 <code>n</code>&nbsp;的字符串&nbsp;<code>pattern</code>&nbsp;,它包含两种字符,<code>'I'</code>&nbsp;表示 <strong>上升</strong>&nbsp;<code>'D'</code>&nbsp;表示 <strong>下降</strong>&nbsp;。</p>\n\n<p>你需要构造一个下标从 <strong>0</strong>&nbsp;开始长度为&nbsp;<code>n + 1</code>&nbsp;的字符串,且它要满足以下条件:</p>\n\n<ul>\n\t<li><code>num</code>&nbsp;包含数字&nbsp;<code>'1'</code>&nbsp;到&nbsp;<code>'9'</code>&nbsp;,其中每个数字&nbsp;<strong>至多</strong>&nbsp;使用一次。</li>\n\t<li>如果&nbsp;<code>pattern[i] == 'I'</code>&nbsp;,那么&nbsp;<code>num[i] &lt; num[i + 1]</code>&nbsp;。</li>\n\t<li>如果&nbsp;<code>pattern[i] == 'D'</code>&nbsp;,那么&nbsp;<code>num[i] &gt; num[i + 1]</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回满足上述条件字典序 <strong>最小</strong>&nbsp;的字符串<em>&nbsp;</em><code>num</code>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>pattern = \"IIIDIDDD\"\n<b>输出:</b>\"123549876\"\n<strong>解释:\n</strong>下标 0 1 2 和 4 处,我们需要使 num[i] &lt; num[i+1] 。\n下标 3 5 6 和 7 处,我们需要使 num[i] &gt; num[i+1] 。\n一些可能的 num 的值为 \"245639871\" \"135749862\" 和 \"123849765\" 。\n\"123549876\" 是满足条件最小的数字。\n注意\"123414321\" 不是可行解因为数字 '1' 使用次数超过 1 次。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>pattern = \"DDD\"\n<b>输出:</b>\"4321\"\n<strong>解释:</strong>\n一些可能的 num 的值为 \"9876\" \"7321\" 和 \"8742\" 。\n\"4321\" 是满足条件最小的数字。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= pattern.length &lt;= 8</code></li>\n\t<li><code>pattern</code>&nbsp;只包含字符&nbsp;<code>'I'</code> 和&nbsp;<code>'D'</code> 。</li>\n</ul>\n",
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