leetcode-problemset/leetcode/originData/count-beautiful-substrings-ii.json

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            "title": "Count Beautiful Substrings II",
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            "content": "<p>You are given a string <code>s</code> and a positive integer <code>k</code>.</p>\n\n<p>Let <code>vowels</code> and <code>consonants</code> be the number of vowels and consonants in a string.</p>\n\n<p>A string is <strong>beautiful</strong> if:</p>\n\n<ul>\n\t<li><code>vowels == consonants</code>.</li>\n\t<li><code>(vowels * consonants) % k == 0</code>, in other terms the multiplication of <code>vowels</code> and <code>consonants</code> is divisible by <code>k</code>.</li>\n</ul>\n\n<p>Return <em>the number of <strong>non-empty beautiful substrings</strong> in the given string</em> <code>s</code>.</p>\n\n<p>A <strong>substring</strong> is a contiguous sequence of characters in a string.</p>\n\n<p><strong>Vowel letters</strong> in English are <code>&#39;a&#39;</code>, <code>&#39;e&#39;</code>, <code>&#39;i&#39;</code>, <code>&#39;o&#39;</code>, and <code>&#39;u&#39;</code>.</p>\n\n<p><strong>Consonant letters</strong> in English are every letter except vowels.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;baeyh&quot;, k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are 2 beautiful substrings in the given string.\n- Substring &quot;b<u>aeyh</u>&quot;, vowels = 2 ([&quot;a&quot;,e&quot;]), consonants = 2 ([&quot;y&quot;,&quot;h&quot;]).\nYou can see that string &quot;aeyh&quot; is beautiful as vowels == consonants and vowels * consonants % k == 0.\n- Substring &quot;<u>baey</u>h&quot;, vowels = 2 ([&quot;a&quot;,e&quot;]), consonants = 2 ([&quot;b&quot;,&quot;y&quot;]).\nYou can see that string &quot;baey&quot; is beautiful as vowels == consonants and vowels * consonants % k == 0.\nIt can be shown that there are only 2 beautiful substrings in the given string.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abba&quot;, k = 1\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are 3 beautiful substrings in the given string.\n- Substring &quot;<u>ab</u>ba&quot;, vowels = 1 ([&quot;a&quot;]), consonants = 1 ([&quot;b&quot;]).\n- Substring &quot;ab<u>ba</u>&quot;, vowels = 1 ([&quot;a&quot;]), consonants = 1 ([&quot;b&quot;]).\n- Substring &quot;<u>abba</u>&quot;, vowels = 2 ([&quot;a&quot;,&quot;a&quot;]), consonants = 2 ([&quot;b&quot;,&quot;b&quot;]).\nIt can be shown that there are only 3 beautiful substrings in the given string.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;bcdf&quot;, k = 1\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are no beautiful substrings in the given string.\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;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 1000</code></li>\n\t<li><code>s</code> consists of only English lowercase letters.</li>\n</ul>\n",
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                    "code": "class Solution(object):\n    def beautifulSubstrings(self, s, k):\n        \"\"\"\n        :type s: str\n        :type k: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "# @param {String} s\n# @param {Integer} k\n# @return {Integer}\ndef beautiful_substrings(s, k)\n    \nend",
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            "hints": [
                "For the given <code>k</code> find all the <code>x</code> integers such that <code>x^2 % k == 0</code>. Notice, that there aren’t many such candidates.",
                "We can iterate over all such <code>x</codes> values and count the number of substrings such that <code>vowels == consonants == x</code>.",
                "This can be done with prefix sums and hash map."
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