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"categoryTitle": "Algorithms",
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"title": "Simplified Fractions",
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"content": "<p>Given an integer <code>n</code>, return <em>a list of all <strong>simplified</strong> fractions between </em><code>0</code><em> and </em><code>1</code><em> (exclusive) such that the denominator is less-than-or-equal-to </em><code>n</code>. You can return the answer in <strong>any order</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> [&quot;1/2&quot;]\n<strong>Explanation:</strong> &quot;1/2&quot; is the only unique fraction with a denominator less-than-or-equal-to 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> [&quot;1/2&quot;,&quot;1/3&quot;,&quot;2/3&quot;]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> [&quot;1/2&quot;,&quot;1/3&quot;,&quot;1/4&quot;,&quot;2/3&quot;,&quot;3/4&quot;]\n<strong>Explanation:</strong> &quot;2/4&quot; is not a simplified fraction because it can be simplified to &quot;1/2&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "最简分数",
"translatedContent": "<p>给你一个整数&nbsp;<code>n</code>&nbsp;,请你返回所有 0 到 1 之间(不包括 0 和 1满足分母小于等于&nbsp;&nbsp;<code>n</code>&nbsp;的 <strong>最简&nbsp;</strong>分数&nbsp;。分数可以以 <strong>任意&nbsp;</strong>顺序返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>n = 2\n<strong>输出:</strong>[&quot;1/2&quot;]\n<strong>解释:</strong>&quot;1/2&quot; 是唯一一个分母小于等于 2 的最简分数。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>n = 3\n<strong>输出:</strong>[&quot;1/2&quot;,&quot;1/3&quot;,&quot;2/3&quot;]\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>n = 4\n<strong>输出:</strong>[&quot;1/2&quot;,&quot;1/3&quot;,&quot;1/4&quot;,&quot;2/3&quot;,&quot;3/4&quot;]\n<strong>解释:</strong>&quot;2/4&quot; 不是最简分数,因为它可以化简为 &quot;1/2&quot; 。</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>n = 1\n<strong>输出:</strong>[]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n</ul>\n",
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"In other words the greatest common divisor of the numerator and the denominator of a simplified fraction is 1."
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