leetcode-problemset/leetcode-cn/originData/number-of-unique-good-subsequences.json

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            "questionId": "2115",
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            "categoryTitle": "Algorithms",
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            "title": "Number of Unique Good Subsequences",
            "titleSlug": "number-of-unique-good-subsequences",
            "content": "<p>You are given a binary string <code>binary</code>. A <strong>subsequence</strong> of <code>binary</code> is considered <strong>good</strong> if it is <strong>not empty</strong> and has <strong>no leading zeros</strong> (with the exception of <code>&quot;0&quot;</code>).</p>\n\n<p>Find the number of <strong>unique good subsequences</strong> of <code>binary</code>.</p>\n\n<ul>\n\t<li>For example, if <code>binary = &quot;001&quot;</code>, then all the <strong>good</strong> subsequences are <code>[&quot;0&quot;, &quot;0&quot;, &quot;1&quot;]</code>, so the <strong>unique</strong> good subsequences are <code>&quot;0&quot;</code> and <code>&quot;1&quot;</code>. Note that subsequences <code>&quot;00&quot;</code>, <code>&quot;01&quot;</code>, and <code>&quot;001&quot;</code> are not good because they have leading zeros.</li>\n</ul>\n\n<p>Return <em>the number of <strong>unique good subsequences</strong> of </em><code>binary</code>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>A <strong>subsequence</strong> is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;001&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;0&quot;, &quot;0&quot;, &quot;1&quot;].\nThe unique good subsequences are &quot;0&quot; and &quot;1&quot;.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;11&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;1&quot;, &quot;1&quot;, &quot;11&quot;].\nThe unique good subsequences are &quot;1&quot; and &quot;11&quot;.</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;101&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;1&quot;, &quot;0&quot;, &quot;1&quot;, &quot;10&quot;, &quot;11&quot;, &quot;101&quot;]. \nThe unique good subsequences are &quot;0&quot;, &quot;1&quot;, &quot;10&quot;, &quot;11&quot;, and &quot;101&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= binary.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>binary</code> consists of only <code>&#39;0&#39;</code>s and <code>&#39;1&#39;</code>s.</li>\n</ul>\n",
            "translatedTitle": "不同的好子序列数目",
            "translatedContent": "<p>给你一个二进制字符串&nbsp;<code>binary</code>&nbsp;。&nbsp;<code>binary</code>&nbsp;的一个 <strong>子序列</strong>&nbsp;如果是 <strong>非空</strong>&nbsp;的且没有 <b>前导</b>&nbsp;<strong>0</strong>&nbsp;（除非数字是 <code>\"0\"</code>&nbsp;本身），那么它就是一个 <strong>好</strong>&nbsp;的子序列。</p>\n\n<p>请你找到&nbsp;<code>binary</code>&nbsp;<strong>不同好子序列</strong>&nbsp;的数目。</p>\n\n<ul>\n\t<li>比方说，如果&nbsp;<code>binary = \"001\"</code>&nbsp;，那么所有 <strong>好</strong>&nbsp;子序列为&nbsp;<code>[\"0\", \"0\", \"1\"]</code>&nbsp;，所以 <b>不同</b>&nbsp;的好子序列为&nbsp;<code>\"0\"</code> 和&nbsp;<code>\"1\"</code>&nbsp;。 注意，子序列&nbsp;<code>\"00\"</code>&nbsp;，<code>\"01\"</code>&nbsp;和&nbsp;<code>\"001\"</code>&nbsp;不是好的，因为它们有前导 0 。</li>\n</ul>\n\n<p>请你返回&nbsp;<code>binary</code>&nbsp;中&nbsp;<strong>不同好子序列</strong>&nbsp;的数目。由于答案可能很大，请将它对&nbsp;<code>10<sup>9</sup> + 7</code>&nbsp;<strong>取余</strong> 后返回。</p>\n\n<p>一个 <strong>子序列</strong>&nbsp;指的是从原数组中删除若干个（可以一个也不删除）元素后，不改变剩余元素顺序得到的序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>binary = \"001\"\n<b>输出：</b>2\n<b>解释：</b>好的二进制子序列为 [\"0\", \"0\", \"1\"] 。\n不同的好子序列为 \"0\" 和 \"1\" 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>binary = \"11\"\n<b>输出：</b>2\n<b>解释：</b>好的二进制子序列为 [\"1\", \"1\", \"11\"] 。\n不同的好子序列为 \"1\" 和 \"11\" 。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>binary = \"101\"\n<b>输出：</b>5\n<b>解释：</b>好的二进制子序列为 [\"1\", \"0\", \"1\", \"10\", \"11\", \"101\"] 。\n不同的好子序列为 \"0\" ，\"1\" ，\"10\" ，\"11\" 和 \"101\" 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= binary.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>binary</code>&nbsp;只含有&nbsp;<code>'0'</code>&nbsp;和&nbsp;<code>'1'</code> 。</li>\n</ul>\n",
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