leetcode-problemset/leetcode-cn/originData/number-of-beautiful-integers-in-the-range.json

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            "title": "Number of Beautiful Integers in the Range",
            "titleSlug": "number-of-beautiful-integers-in-the-range",
            "content": "<p>You are given positive integers <code>low</code>, <code>high</code>, and <code>k</code>.</p>\n\n<p>A number is <strong>beautiful</strong> if it meets both of the following conditions:</p>\n\n<ul>\n\t<li>The count of even digits in the number is equal to the count of odd digits.</li>\n\t<li>The number is divisible by <code>k</code>.</li>\n</ul>\n\n<p>Return <em>the number of beautiful integers in the range</em> <code>[low, high]</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> low = 10, high = 20, k = 3\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are 2 beautiful integers in the given range: [12,18]. \n- 12 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\n- 18 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\nAdditionally we can see that:\n- 16 is not beautiful because it is not divisible by k = 3.\n- 15 is not beautiful because it does not contain equal counts even and odd digits.\nIt can be shown that there are only 2 beautiful integers in the given range.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> low = 1, high = 10, k = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> There is 1 beautiful integer in the given range: [10].\n- 10 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 1.\nIt can be shown that there is only 1 beautiful integer in the given range.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> low = 5, high = 5, k = 2\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are 0 beautiful integers in the given range.\n- 5 is not beautiful because it is not divisible by k = 2 and it does not contain equal even and odd digits.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt; low &lt;= high &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt; k &lt;= 20</code></li>\n</ul>\n",
            "translatedTitle": "范围中美丽整数的数目",
            "translatedContent": "<p>给你正整数&nbsp;<code>low</code>&nbsp;，<code>high</code>&nbsp;和&nbsp;<code>k</code>&nbsp;。</p>\n\n<p>如果一个数满足以下两个条件，那么它是 <strong>美丽的</strong>&nbsp;：</p>\n\n<ul>\n\t<li>偶数数位的数目与奇数数位的数目相同。</li>\n\t<li>这个整数可以被&nbsp;<code>k</code>&nbsp;整除。</li>\n</ul>\n\n<p>请你返回范围&nbsp;<code>[low, high]</code>&nbsp;中美丽整数的数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>low = 10, high = 20, k = 3\n<b>输出：</b>2\n<b>解释：</b>给定范围中有 2 个美丽数字：[12,18]\n- 12 是美丽整数，因为它有 1 个奇数数位和 1 个偶数数位，而且可以被 k = 3 整除。\n- 18 是美丽整数，因为它有 1 个奇数数位和 1 个偶数数位，而且可以被 k = 3 整除。\n以下是一些不是美丽整数的例子：\n- 16 不是美丽整数，因为它不能被 k = 3 整除。\n- 15 不是美丽整数，因为它的奇数数位和偶数数位的数目不相等。\n给定范围内总共有 2 个美丽整数。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>low = 1, high = 10, k = 1\n<b>输出：</b>1\n<b>解释：</b>给定范围中有 1 个美丽数字：[10]\n- 10 是美丽整数，因为它有 1 个奇数数位和 1 个偶数数位，而且可以被 k = 1 整除。\n给定范围内总共有 1 个美丽整数。\n</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>low = 5, high = 5, k = 2\n<b>输出：</b>0\n<b>解释：</b>给定范围中有 0 个美丽数字。\n- 5 不是美丽整数，因为它的奇数数位和偶数数位的数目不相等。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>0 &lt; low &lt;= high &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt; k &lt;= 20</code></li>\n</ul>\n",
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