leetcode-problemset/leetcode-cn/originData/numbers-at-most-n-given-digit-set.json

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            "title": "Numbers At Most N Given Digit Set",
            "titleSlug": "numbers-at-most-n-given-digit-set",
            "content": "<p>Given an array of <code>digits</code> which is sorted in <strong>non-decreasing</strong> order. You can write numbers using each <code>digits[i]</code> as many times as we want. For example, if <code>digits = [&#39;1&#39;,&#39;3&#39;,&#39;5&#39;]</code>, we may write numbers such as <code>&#39;13&#39;</code>, <code>&#39;551&#39;</code>, and <code>&#39;1351315&#39;</code>.</p>\n\n<p>Return <em>the number of positive integers that can be generated </em>that are less than or equal to a given integer <code>n</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> digits = [&quot;1&quot;,&quot;3&quot;,&quot;5&quot;,&quot;7&quot;], n = 100\n<strong>Output:</strong> 20\n<strong>Explanation: </strong>\nThe 20 numbers that can be written are:\n1, 3, 5, 7, 11, 13, 15, 17, 31, 33, 35, 37, 51, 53, 55, 57, 71, 73, 75, 77.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> digits = [&quot;1&quot;,&quot;4&quot;,&quot;9&quot;], n = 1000000000\n<strong>Output:</strong> 29523\n<strong>Explanation: </strong>\nWe can write 3 one digit numbers, 9 two digit numbers, 27 three digit numbers,\n81 four digit numbers, 243 five digit numbers, 729 six digit numbers,\n2187 seven digit numbers, 6561 eight digit numbers, and 19683 nine digit numbers.\nIn total, this is 29523 integers that can be written using the digits array.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> digits = [&quot;7&quot;], n = 8\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= digits.length &lt;= 9</code></li>\n\t<li><code>digits[i].length == 1</code></li>\n\t<li><code>digits[i]</code> is a digit from&nbsp;<code>&#39;1&#39;</code>&nbsp;to <code>&#39;9&#39;</code>.</li>\n\t<li>All the values in&nbsp;<code>digits</code> are <strong>unique</strong>.</li>\n\t<li><code>digits</code> is sorted in&nbsp;<strong>non-decreasing</strong> order.</li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "最大为 N 的数字组合",
            "translatedContent": "<p>给定一个按&nbsp;<strong>非递减顺序</strong>&nbsp;排列的数字数组<meta charset=\"UTF-8\" />&nbsp;<code>digits</code>&nbsp;。你可以用任意次数&nbsp;<code>digits[i]</code>&nbsp;来写的数字。例如，如果<meta charset=\"UTF-8\" />&nbsp;<code>digits = ['1','3','5']</code>，我们可以写数字，如<meta charset=\"UTF-8\" />&nbsp;<code>'13'</code>,&nbsp;<code>'551'</code>, 和&nbsp;<code>'1351315'</code>。</p>\n\n<p>返回 <em>可以生成的小于或等于给定整数 <code>n</code> 的正整数的个数</em>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>digits = [\"1\",\"3\",\"5\",\"7\"], n = 100\n<strong>输出：</strong>20\n<strong>解释：</strong>\n可写出的 20 个数字是：\n1, 3, 5, 7, 11, 13, 15, 17, 31, 33, 35, 37, 51, 53, 55, 57, 71, 73, 75, 77.\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>digits = [\"1\",\"4\",\"9\"], n = 1000000000\n<strong>输出：</strong>29523\n<strong>解释：</strong>\n我们可以写 3 个一位数字，9 个两位数字，27 个三位数字，\n81 个四位数字，243 个五位数字，729 个六位数字，\n2187 个七位数字，6561 个八位数字和 19683 个九位数字。\n总共，可以使用D中的数字写出 29523 个整数。</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入：</strong>digits = [\"7\"], n = 8\n<strong>输出：</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n<meta charset=\"UTF-8\" />\n\n<ul>\n\t<li><code>1 &lt;= digits.length &lt;= 9</code></li>\n\t<li><code>digits[i].length == 1</code></li>\n\t<li><code>digits[i]</code>&nbsp;是从&nbsp;<code>'1'</code>&nbsp;到&nbsp;<code>'9'</code> 的数</li>\n\t<li><code>digits</code>&nbsp;中的所有值都 <strong>不同</strong>&nbsp;</li>\n\t<li><code>digits</code>&nbsp;按&nbsp;<strong>非递减顺序</strong>&nbsp;排列</li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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