leetcode-problemset/leetcode-cn/originData/count-good-numbers.json

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            "title": "Count Good Numbers",
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            "content": "<p>A digit string is <strong>good</strong> if the digits <strong>(0-indexed)</strong> at <strong>even</strong> indices are <strong>even</strong> and the digits at <strong>odd</strong> indices are <strong>prime</strong> (<code>2</code>, <code>3</code>, <code>5</code>, or <code>7</code>).</p>\n\n<ul>\n\t<li>For example, <code>&quot;2582&quot;</code> is good because the digits (<code>2</code> and <code>8</code>) at even positions are even and the digits (<code>5</code> and <code>2</code>) at odd positions are prime. However, <code>&quot;3245&quot;</code> is <strong>not</strong> good because <code>3</code> is at an even index but is not even.</li>\n</ul>\n\n<p>Given an integer <code>n</code>, return <em>the <strong>total</strong> number of good digit strings of length </em><code>n</code>. Since the answer may be large, <strong>return it modulo </strong><code>10<sup>9</sup> + 7</code>.</p>\n\n<p>A <strong>digit string</strong> is a string consisting of digits <code>0</code> through <code>9</code> that may contain leading zeros.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The good numbers of length 1 are &quot;0&quot;, &quot;2&quot;, &quot;4&quot;, &quot;6&quot;, &quot;8&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> 400\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 50\n<strong>Output:</strong> 564908303\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
            "translatedTitle": "统计好数字的数目",
            "translatedContent": "<p>我们称一个数字字符串是 <strong>好数字</strong> 当它满足（下标从 <strong>0</strong> 开始）<strong>偶数</strong> 下标处的数字为 <strong>偶数</strong> 且 <strong>奇数</strong> 下标处的数字为 <strong>质数</strong> （<code>2</code>，<code>3</code>，<code>5</code> 或 <code>7</code>）。</p>\n\n<ul>\n\t<li>比方说，<code>\"2582\"</code> 是好数字，因为偶数下标处的数字（<code>2</code> 和 <code>8</code>）是偶数且奇数下标处的数字（<code>5</code> 和 <code>2</code>）为质数。但 <code>\"3245\"</code> <strong>不是</strong> 好数字，因为 <code>3</code> 在偶数下标处但不是偶数。</li>\n</ul>\n\n<p>给你一个整数 <code>n</code> ，请你返回长度为 <code>n</code> 且为好数字的数字字符串 <strong>总数</strong> 。由于答案可能会很大，请你将它对<strong> </strong><code>10<sup>9</sup> + 7</code> <strong>取余后返回</strong> 。</p>\n\n<p>一个 <strong>数字字符串</strong> 是每一位都由 <code>0</code> 到 <code>9</code> 组成的字符串，且可能包含前导 0 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>n = 1\n<b>输出：</b>5\n<b>解释：</b>长度为 1 的好数字包括 \"0\"，\"2\"，\"4\"，\"6\"，\"8\" 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>n = 4\n<b>输出：</b>400\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>n = 50\n<b>输出：</b>564908303\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 10<sup>15</sup></code></li>\n</ul>\n",
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