mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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183 lines
16 KiB
JSON
183 lines
16 KiB
JSON
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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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"code": "-spec count_vowel_permutation(N :: integer()) -> integer().\ncount_vowel_permutation(N) ->\n .",
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"code": "defmodule Solution do\n @spec count_vowel_permutation(n :: integer) :: integer\n def count_vowel_permutation(n) do\n \n end\nend",
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"hints": [
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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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