leetcode-problemset/leetcode-cn/originData/valid-permutations-for-di-sequence.json

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            "title": "Valid Permutations for DI Sequence",
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            "content": "<p>You are given a string <code>s</code> of length <code>n</code> where <code>s[i]</code> is either:</p>\n\n<ul>\n\t<li><code>&#39;D&#39;</code> means decreasing, or</li>\n\t<li><code>&#39;I&#39;</code> means increasing.</li>\n</ul>\n\n<p>A permutation <code>perm</code> of <code>n + 1</code> integers of all the integers in the range <code>[0, n]</code> is called a <strong>valid permutation</strong> if for all valid <code>i</code>:</p>\n\n<ul>\n\t<li>If <code>s[i] == &#39;D&#39;</code>, then <code>perm[i] &gt; perm[i + 1]</code>, and</li>\n\t<li>If <code>s[i] == &#39;I&#39;</code>, then <code>perm[i] &lt; perm[i + 1]</code>.</li>\n</ul>\n\n<p>Return <em>the number of <strong>valid permutations</strong> </em><code>perm</code>. Since the answer may be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;DID&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The 5 valid permutations of (0, 1, 2, 3) are:\n(1, 0, 3, 2)\n(2, 0, 3, 1)\n(2, 1, 3, 0)\n(3, 0, 2, 1)\n(3, 1, 2, 0)\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;D&quot;\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == s.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 200</code></li>\n\t<li><code>s[i]</code> is either <code>&#39;I&#39;</code> or <code>&#39;D&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "DI 序列的有效排列",
            "translatedContent": "<p>给定一个长度为 <code>n</code> 的字符串 <code>s</code> ，其中 <code>s[i]</code> 是:</p>\n\n<ul>\n\t<li><code>“D”</code> 意味着减少，或者</li>\n\t<li><code>“I”</code> 意味着增加</li>\n</ul>\n\n<p><strong>有效排列</strong>&nbsp;是对有&nbsp;<code>n + 1</code>&nbsp;个在&nbsp;<code>[0, n]</code>&nbsp; 范围内的整数的一个排列&nbsp;<code>perm</code>&nbsp;，使得对所有的&nbsp;<code>i</code>：</p>\n\n<ul>\n\t<li>如果 <code>s[i] == 'D'</code>，那么&nbsp;<code>perm[i] &gt; perm[i+1]</code>，以及；</li>\n\t<li>如果 <code>s[i] == 'I'</code>，那么 <code>perm[i] &lt; perm[i+1]</code>。</li>\n</ul>\n\n<p>返回 <em><strong>有效排列 </strong>&nbsp;</em><code>perm</code><em>的数量 </em>。因为答案可能很大，所以请<strong>返回你的答案对</strong>&nbsp;<code>10<sup>9</sup>&nbsp;+ 7</code><strong>&nbsp;取余</strong>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"DID\"\n<strong>输出：</strong>5\n<strong>解释：</strong>\n(0, 1, 2, 3) 的五个有效排列是：\n(1, 0, 3, 2)\n(2, 0, 3, 1)\n(2, 1, 3, 0)\n(3, 0, 2, 1)\n(3, 1, 2, 0)\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> s = \"D\"\n<strong>输出:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == s.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 200</code></li>\n\t<li><code>s[i]</code>&nbsp;不是&nbsp;<code>'I'</code>&nbsp;就是&nbsp;<code>'D'</code></li>\n</ul>\n",
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