leetcode-problemset/leetcode-cn/originData/ugly-number-ii.json

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            "title": "Ugly Number II",
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            "content": "<p>An <strong>ugly number</strong> is a positive integer whose prime factors are limited to <code>2</code>, <code>3</code>, and <code>5</code>.</p>\n\n<p>Given an integer <code>n</code>, return <em>the</em> <code>n<sup>th</sup></code> <em><strong>ugly number</strong></em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 10\n<strong>Output:</strong> 12\n<strong>Explanation:</strong> [1, 2, 3, 4, 5, 6, 8, 9, 10, 12] is the sequence of the first 10 ugly numbers.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> 1 has no prime factors, therefore all of its prime factors are limited to 2, 3, and 5.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 1690</code></li>\n</ul>\n",
            "translatedTitle": "丑数 II",
            "translatedContent": "<p>给你一个整数 <code>n</code> ，请你找出并返回第 <code>n</code> 个 <strong>丑数</strong> 。</p>\n\n<p><strong>丑数 </strong>就是只包含质因数 <code>2</code>、<code>3</code> 和/或 <code>5</code> 的正整数。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 10\n<strong>输出：</strong>12\n<strong>解释：</strong>[1, 2, 3, 4, 5, 6, 8, 9, 10, 12] 是由前 10 个丑数组成的序列。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1\n<strong>输出：</strong>1\n<strong>解释：</strong>1 通常被视为丑数。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 1690</code></li>\n</ul>\n",
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            "hints": [
                "The naive approach is to call <code>isUgly</code> for every number until you reach the n<sup>th</sup> one. Most numbers are <i>not</i> ugly. Try to focus your effort on generating only the ugly ones.",
                "An ugly number must be multiplied by either 2, 3, or 5 from a smaller ugly number.",
                "The key is how to maintain the order of the ugly numbers. Try a similar approach of merging from three sorted lists: L<sub>1</sub>, L<sub>2</sub>, and L<sub>3</sub>.",
                "Assume you have U<sub>k</sub>, the k<sup>th</sup> ugly number. Then U<sub>k+1</sub> must be Min(L<sub>1</sub> * 2, L<sub>2</sub> * 3, L<sub>3</sub> * 5)."
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