leetcode-problemset/leetcode-cn/originData/restore-the-array.json

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            "questionId": "1517",
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            "categoryTitle": "Algorithms",
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            "title": "Restore The Array",
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            "content": "<p>A program was supposed to print an array of integers. The program forgot to print whitespaces and the array is printed as a string of digits <code>s</code> and all we know is that all integers in the array were in the range <code>[1, k]</code> and there are no leading zeros in the array.</p>\n\n<p>Given the string <code>s</code> and the integer <code>k</code>, return <em>the number of the possible arrays that can be printed as </em><code>s</code><em> using the mentioned program</em>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1000&quot;, k = 10000\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The only possible array is [1000]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1000&quot;, k = 10\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There cannot be an array that was printed this way and has all integer &gt;= 1 and &lt;= 10.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1317&quot;, k = 2000\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> Possible arrays are [1317],[131,7],[13,17],[1,317],[13,1,7],[1,31,7],[1,3,17],[1,3,1,7]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code> consists of only digits and does not contain leading zeros.</li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "恢复数组",
            "translatedContent": "<p>某个程序本来应该输出一个整数数组。但是这个程序忘记输出空格了以致输出了一个数字字符串，我们所知道的信息只有：数组中所有整数都在 <code>[1, k]</code>&nbsp;之间，且数组中的数字都没有前导 0 。</p>\n\n<p>给你字符串&nbsp;<code>s</code>&nbsp;和整数&nbsp;<code>k</code>&nbsp;。可能会有多种不同的数组恢复结果。</p>\n\n<p>按照上述程序，请你返回所有可能输出字符串&nbsp;<code>s</code>&nbsp;的数组方案数。</p>\n\n<p>由于数组方案数可能会很大，请你返回它对&nbsp;<code>10^9 + 7</code>&nbsp;<strong>取余</strong>&nbsp;后的结果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;1000&quot;, k = 10000\n<strong>输出：</strong>1\n<strong>解释：</strong>唯一一种可能的数组方案是 [1000]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;1000&quot;, k = 10\n<strong>输出：</strong>0\n<strong>解释：</strong>不存在任何数组方案满足所有整数都 &gt;= 1 且 &lt;= 10 同时输出结果为 s 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;1317&quot;, k = 2000\n<strong>输出：</strong>8\n<strong>解释：</strong>可行的数组方案为 [1317]，[131,7]，[13,17]，[1,317]，[13,1,7]，[1,31,7]，[1,3,17]，[1,3,1,7]\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;2020&quot;, k = 30\n<strong>输出：</strong>1\n<strong>解释：</strong>唯一可能的数组方案是 [20,20] 。 [2020] 不是可行的数组方案，原因是 2020 &gt; 30 。 [2,020] 也不是可行的数组方案，因为 020 含有前导 0 。\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;1234567890&quot;, k = 90\n<strong>输出：</strong>34\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10^5</code>.</li>\n\t<li><code>s</code>&nbsp;只包含数字且不包含前导 0 。</li>\n\t<li><code>1 &lt;= k &lt;= 10^9</code>.</li>\n</ul>\n",
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