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leetcode-problemset/leetcode-cn/originData/implement-rand10-using-rand7.json
2023-12-09 19:57:46 +08:00

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"categoryTitle": "Algorithms",
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"title": "Implement Rand10() Using Rand7()",
"titleSlug": "implement-rand10-using-rand7",
"content": "<p>Given the <strong>API</strong> <code>rand7()</code> that generates a uniform random integer in the range <code>[1, 7]</code>, write a function <code>rand10()</code> that generates a uniform random integer in the range <code>[1, 10]</code>. You can only call the API <code>rand7()</code>, and you shouldn&#39;t call any other API. Please <strong>do not</strong> use a language&#39;s built-in random API.</p>\n\n<p>Each test case will have one <strong>internal</strong> argument <code>n</code>, the number of times that your implemented function <code>rand10()</code> will be called while testing. Note that this is <strong>not an argument</strong> passed to <code>rand10()</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<pre><strong>Input:</strong> n = 1\n<strong>Output:</strong> [2]\n</pre><p><strong class=\"example\">Example 2:</strong></p>\n<pre><strong>Input:</strong> n = 2\n<strong>Output:</strong> [2,8]\n</pre><p><strong class=\"example\">Example 3:</strong></p>\n<pre><strong>Input:</strong> n = 3\n<strong>Output:</strong> [3,8,10]\n</pre>\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong></p>\n\n<ul>\n\t<li>What is the <a href=\"https://en.wikipedia.org/wiki/Expected_value\" target=\"_blank\">expected value</a> for the number of calls to <code>rand7()</code> function?</li>\n\t<li>Could you minimize the number of calls to <code>rand7()</code>?</li>\n</ul>\n",
"translatedTitle": "用 Rand7() 实现 Rand10()",
"translatedContent": "<p>给定方法&nbsp;<code>rand7</code>&nbsp;可生成 <code>[1,7]</code> 范围内的均匀随机整数,试写一个方法&nbsp;<code>rand10</code>&nbsp;生成 <code>[1,10]</code> 范围内的均匀随机整数。</p>\n\n<p>你只能调用&nbsp;<code>rand7()</code>&nbsp;且不能调用其他方法。请不要使用系统的&nbsp;<code>Math.random()</code>&nbsp;方法。</p>\n\n<ol>\n</ol>\n\n<p>每个测试用例将有一个内部参数 <code>n</code>,即你实现的函数 <code>rand10()</code> 在测试时将被调用的次数。请注意,这不是传递给 <code>rand10()</code> 的参数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入: </strong>1\n<strong>输出: </strong>[2]\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入: </strong>2\n<strong>输出: </strong>[2,8]\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入: </strong>3\n<strong>输出: </strong>[3,8,10]\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;= 10<sup>5</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>进阶:</strong></p>\n\n<ul>\n\t<li><code>rand7()</code>调用次数的&nbsp;<a href=\"https://en.wikipedia.org/wiki/Expected_value\" target=\"_blank\">期望值</a>&nbsp;是多少&nbsp;?</li>\n\t<li>你能否尽量少调用 <code>rand7()</code> ?</li>\n</ul>\n",
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