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leetcode-problemset/leetcode-cn/originData/smallest-good-base.json
2023-12-09 19:57:46 +08:00

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{
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"questionId": "483",
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"categoryTitle": "Algorithms",
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"title": "Smallest Good Base",
"titleSlug": "smallest-good-base",
"content": "<p>Given an integer <code>n</code> represented as a string, return <em>the smallest <strong>good base</strong> of</em> <code>n</code>.</p>\n\n<p>We call <code>k &gt;= 2</code> a <strong>good base</strong> of <code>n</code>, if all digits of <code>n</code> base <code>k</code> are <code>1</code>&#39;s.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = &quot;13&quot;\n<strong>Output:</strong> &quot;3&quot;\n<strong>Explanation:</strong> 13 base 3 is 111.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = &quot;4681&quot;\n<strong>Output:</strong> &quot;8&quot;\n<strong>Explanation:</strong> 4681 base 8 is 11111.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = &quot;1000000000000000000&quot;\n<strong>Output:</strong> &quot;999999999999999999&quot;\n<strong>Explanation:</strong> 1000000000000000000 base 999999999999999999 is 11.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n</code> is an integer in the range <code>[3, 10<sup>18</sup>]</code>.</li>\n\t<li><code>n</code> does not contain any leading zeros.</li>\n</ul>\n",
"translatedTitle": "最小好进制",
"translatedContent": "<p>以字符串的形式给出 <code>n</code>&nbsp;, 以字符串的形式返回<em> <code>n</code> 的最小 <strong>好进制</strong> </em>&nbsp;。</p>\n\n<p>如果 <code>n</code> 的 &nbsp;<code>k(k&gt;=2)</code>&nbsp;进制数的所有数位全为1则称&nbsp;<code>k(k&gt;=2)</code>&nbsp;是 <code>n</code> 的一个&nbsp;<strong>好进制&nbsp;</strong>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = \"13\"\n<strong>输出:</strong>\"3\"\n<strong>解释:</strong>13 的 3 进制是 111。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = \"4681\"\n<strong>输出:</strong>\"8\"\n<strong>解释:</strong>4681 的 8 进制是 11111。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = \"1000000000000000000\"\n<strong>输出:</strong>\"999999999999999999\"\n<strong>解释:</strong>1000000000000000000 的 999999999999999999 进制是 11。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n</code> 的取值范围是&nbsp;<code>[3, 10<sup>18</sup>]</code></li>\n\t<li><code>n</code> 没有前导 0</li>\n</ul>\n",
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