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"question": {
"questionId": "172",
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"categoryTitle": "Algorithms",
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"title": "Factorial Trailing Zeroes",
"titleSlug": "factorial-trailing-zeroes",
"content": "<p>Given an integer <code>n</code>, return <em>the number of trailing zeroes in </em><code>n!</code>.</p>\n\n<p>Note that <code>n! = n * (n - 1) * (n - 2) * ... * 3 * 2 * 1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> 3! = 6, no trailing zero.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> 5! = 120, one trailing zero.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 0\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= n &lt;= 10<sup>4</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong> Could you write a solution that works in logarithmic time complexity?</p>\n",
"translatedTitle": "阶乘后的零",
"translatedContent": "<p>给定一个整数 <code>n</code> ,返回 <code>n!</code> 结果中尾随零的数量。</p>\n\n<p>提示&nbsp;<code>n! = n * (n - 1) * (n - 2) * ... * 3 * 2 * 1</code></p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 3\n<strong>输出:</strong>0\n<strong>解释:</strong>3! = 6 ,不含尾随 0\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 5\n<strong>输出:</strong>1\n<strong>解释:</strong>5! = 120 ,有一个尾随 0\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 0\n<strong>输出:</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= n &lt;= 10<sup>4</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><b>进阶:</b>你可以设计并实现对数时间复杂度的算法来解决此问题吗?</p>\n",
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