mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
172 lines
22 KiB
JSON
172 lines
22 KiB
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"title": "Count Vowels Permutation",
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"content": "<p>Given an integer <code>n</code>, your task is to count how many strings of length <code>n</code> can be formed under the following rules:</p>\n\n<ul>\n\t<li>Each character is a lower case vowel (<code>'a'</code>, <code>'e'</code>, <code>'i'</code>, <code>'o'</code>, <code>'u'</code>)</li>\n\t<li>Each vowel <code>'a'</code> may only be followed by an <code>'e'</code>.</li>\n\t<li>Each vowel <code>'e'</code> may only be followed by an <code>'a'</code> or an <code>'i'</code>.</li>\n\t<li>Each vowel <code>'i'</code> <strong>may not</strong> be followed by another <code>'i'</code>.</li>\n\t<li>Each vowel <code>'o'</code> may only be followed by an <code>'i'</code> or a <code>'u'</code>.</li>\n\t<li>Each vowel <code>'u'</code> may only be followed by an <code>'a'</code>.</li>\n</ul>\n\n<p>Since the answer may be too large, return it modulo <code>10^9 + 7</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> All possible strings are: "a", "e", "i" , "o" and "u".\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> All possible strings are: "ae", "ea", "ei", "ia", "ie", "io", "iu", "oi", "ou" and "ua".\n</pre>\n\n<p><strong class=\"example\">Example 3: </strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5\n<strong>Output:</strong> 68</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 2 * 10^4</code></li>\n</ul>\n",
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"translatedTitle": "统计元音字母序列的数目",
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"translatedContent": "<p>给你一个整数 <code>n</code>，请你帮忙统计一下我们可以按下述规则形成多少个长度为 <code>n</code> 的字符串：</p>\n\n<ul>\n\t<li>字符串中的每个字符都应当是小写元音字母（<code>'a'</code>, <code>'e'</code>, <code>'i'</code>, <code>'o'</code>, <code>'u'</code>）</li>\n\t<li>每个元音 <code>'a'</code> 后面都只能跟着 <code>'e'</code></li>\n\t<li>每个元音 <code>'e'</code> 后面只能跟着 <code>'a'</code> 或者是 <code>'i'</code></li>\n\t<li>每个元音 <code>'i'</code> 后面 <strong>不能</strong> 再跟着另一个 <code>'i'</code></li>\n\t<li>每个元音 <code>'o'</code> 后面只能跟着 <code>'i'</code> 或者是 <code>'u'</code></li>\n\t<li>每个元音 <code>'u'</code> 后面只能跟着 <code>'a'</code></li>\n</ul>\n\n<p>由于答案可能会很大，所以请你返回 模 <code>10^9 + 7</code> 之后的结果。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>n = 1\n<strong>输出：</strong>5\n<strong>解释：</strong>所有可能的字符串分别是："a", "e", "i" , "o" 和 "u"。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>n = 2\n<strong>输出：</strong>10\n<strong>解释：</strong>所有可能的字符串分别是："ae", "ea", "ei", "ia", "ie", "io", "iu", "oi", "ou" 和 "ua"。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>n = 5\n<strong>输出：</strong>68</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 2 * 10^4</code></li>\n</ul>\n",
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"Use dynamic programming.",
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"Let dp[i][j] be the number of strings of length i that ends with the j-th vowel.",
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"Deduce the recurrence from the given relations between vowels."
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