leetcode-problemset/leetcode-cn/originData/maximum-product-of-the-length-of-two-palindromic-subsequences.json

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            "title": "Maximum Product of the Length of Two Palindromic Subsequences",
            "titleSlug": "maximum-product-of-the-length-of-two-palindromic-subsequences",
            "content": "<p>Given a string <code>s</code>, find two <strong>disjoint palindromic subsequences</strong> of <code>s</code> such that the <strong>product</strong> of their lengths is <strong>maximized</strong>. The two subsequences are <strong>disjoint</strong> if they do not both pick a character at the same index.</p>\n\n<p>Return <em>the <strong>maximum</strong> possible <strong>product</strong> of the lengths of the two palindromic subsequences</em>.</p>\n\n<p>A <strong>subsequence</strong> is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters. A string is <strong>palindromic</strong> if it reads the same forward and backward.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"example-1\" src=\"https://assets.leetcode.com/uploads/2021/08/24/two-palindromic-subsequences.png\" style=\"width: 550px; height: 124px;\" />\n<pre>\n<strong>Input:</strong> s = &quot;leetcodecom&quot;\n<strong>Output:</strong> 9\n<strong>Explanation</strong>: An optimal solution is to choose &quot;ete&quot; for the 1<sup>st</sup> subsequence and &quot;cdc&quot; for the 2<sup>nd</sup> subsequence.\nThe product of their lengths is: 3 * 3 = 9.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;bb&quot;\n<strong>Output:</strong> 1\n<strong>Explanation</strong>: An optimal solution is to choose &quot;b&quot; (the first character) for the 1<sup>st</sup> subsequence and &quot;b&quot; (the second character) for the 2<sup>nd</sup> subsequence.\nThe product of their lengths is: 1 * 1 = 1.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;accbcaxxcxx&quot;\n<strong>Output:</strong> 25\n<strong>Explanation</strong>: An optimal solution is to choose &quot;accca&quot; for the 1<sup>st</sup> subsequence and &quot;xxcxx&quot; for the 2<sup>nd</sup> subsequence.\nThe product of their lengths is: 5 * 5 = 25.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= s.length &lt;= 12</code></li>\n\t<li><code>s</code> consists of lowercase English letters only.</li>\n</ul>\n",
            "translatedTitle": "两个回文子序列长度的最大乘积",
            "translatedContent": "<p>给你一个字符串&nbsp;<code>s</code>&nbsp;，请你找到&nbsp;<code>s</code>&nbsp;中两个&nbsp;<strong>不相交回文子序列</strong>&nbsp;，使得它们长度的&nbsp;<strong>乘积最大</strong>&nbsp;。两个子序列在原字符串中如果没有任何相同下标的字符，则它们是&nbsp;<strong>不相交</strong>&nbsp;的。</p>\n\n<p>请你返回两个回文子序列长度可以达到的<strong>&nbsp;最大乘积</strong>&nbsp;。</p>\n\n<p><strong>子序列</strong>&nbsp;指的是从原字符串中删除若干个字符（可以一个也不删除）后，剩余字符不改变顺序而得到的结果。如果一个字符串从前往后读和从后往前读一模一样，那么这个字符串是一个 <strong>回文字符串</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"example-1\" src=\"https://assets.leetcode.com/uploads/2021/08/24/two-palindromic-subsequences.png\" style=\"width: 550px; height: 124px;\"></p>\n\n<pre><b>输入：</b>s = \"leetcodecom\"\n<b>输出：</b>9\n<b>解释：</b>最优方案是选择 \"ete\" 作为第一个子序列，\"cdc\" 作为第二个子序列。\n它们的乘积为 3 * 3 = 9 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>s = \"bb\"\n<b>输出：</b>1\n<b>解释：</b>最优方案为选择 \"b\" （第一个字符）作为第一个子序列，\"b\" （第二个字符）作为第二个子序列。\n它们的乘积为 1 * 1 = 1 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>s = \"accbcaxxcxx\"\n<b>输出：</b>25\n<b>解释：</b>最优方案为选择 \"accca\" 作为第一个子序列，\"xxcxx\" 作为第二个子序列。\n它们的乘积为 5 * 5 = 25 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= s.length &lt;= 12</code></li>\n\t<li><code>s</code>&nbsp;只含有小写英文字母。</li>\n</ul>\n",
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