leetcode-problemset/leetcode-cn/originData/unique-length-3-palindromic-subsequences.json

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            "title": "Unique Length-3 Palindromic Subsequences",
            "titleSlug": "unique-length-3-palindromic-subsequences",
            "content": "<p>Given a string <code>s</code>, return <em>the number of <strong>unique palindromes of length three</strong> that are a <strong>subsequence</strong> of </em><code>s</code>.</p>\n\n<p>Note that even if there are multiple ways to obtain the same subsequence, it is still only counted <strong>once</strong>.</p>\n\n<p>A <strong>palindrome</strong> is a string that reads the same forwards and backwards.</p>\n\n<p>A <strong>subsequence</strong> of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.</p>\n\n<ul>\n\t<li>For example, <code>&quot;ace&quot;</code> is a subsequence of <code>&quot;<u>a</u>b<u>c</u>d<u>e</u>&quot;</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;aabca&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The 3 palindromic subsequences of length 3 are:\n- &quot;aba&quot; (subsequence of &quot;<u>a</u>a<u>b</u>c<u>a</u>&quot;)\n- &quot;aaa&quot; (subsequence of &quot;<u>aa</u>bc<u>a</u>&quot;)\n- &quot;aca&quot; (subsequence of &quot;<u>a</u>ab<u>ca</u>&quot;)\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;adc&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are no palindromic subsequences of length 3 in &quot;adc&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;bbcbaba&quot;\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The 4 palindromic subsequences of length 3 are:\n- &quot;bbb&quot; (subsequence of &quot;<u>bb</u>c<u>b</u>aba&quot;)\n- &quot;bcb&quot; (subsequence of &quot;<u>b</u>b<u>cb</u>aba&quot;)\n- &quot;bab&quot; (subsequence of &quot;<u>b</u>bcb<u>ab</u>a&quot;)\n- &quot;aba&quot; (subsequence of &quot;bbcb<u>aba</u>&quot;)\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code> consists of only lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "长度为 3 的不同回文子序列",
            "translatedContent": "<p>给你一个字符串 <code>s</code> ，返回 <code>s</code> 中 <strong>长度为 3 </strong>的<strong>不同回文子序列</strong> 的个数。</p>\n\n<p>即便存在多种方法来构建相同的子序列，但相同的子序列只计数一次。</p>\n\n<p><strong>回文</strong> 是正着读和反着读一样的字符串。</p>\n\n<p><strong>子序列</strong> 是由原字符串删除其中部分字符（也可以不删除）且不改变剩余字符之间相对顺序形成的一个新字符串。</p>\n\n<ul>\n\t<li>例如，<code>\"ace\"</code> 是 <code>\"<strong><em>a</em></strong>b<strong><em>c</em></strong>d<strong><em>e</em></strong>\"</code> 的一个子序列。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"aabca\"\n<strong>输出：</strong>3\n<strong>解释：</strong>长度为 3 的 3 个回文子序列分别是：\n- \"aba\" (\"<strong><em>a</em></strong>a<strong><em>b</em></strong>c<strong><em>a</em></strong>\" 的子序列)\n- \"aaa\" (\"<strong><em>aa</em></strong>bc<strong><em>a</em></strong>\" 的子序列)\n- \"aca\" (\"<strong><em>a</em></strong>ab<strong><em>ca</em></strong>\" 的子序列)\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"adc\"\n<strong>输出：</strong>0\n<strong>解释：</strong>\"adc\" 不存在长度为 3 的回文子序列。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = \"bbcbaba\"\n<strong>输出：</strong>4\n<strong>解释：</strong>长度为 3 的 4 个回文子序列分别是：\n- \"bbb\" (\"<strong><em>bb</em></strong>c<strong><em>b</em></strong>aba\" 的子序列)\n- \"bcb\" (\"<strong><em>b</em></strong>b<strong><em>cb</em></strong>aba\" 的子序列)\n- \"bab\" (\"<strong><em>b</em></strong>bcb<strong><em>ab</em></strong>a\" 的子序列)\n- \"aba\" (\"bbcb<strong><em>aba</em></strong>\" 的子序列)\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= s.length <= 10<sup>5</sup></code></li>\n\t<li><code>s</code> 仅由小写英文字母组成</li>\n</ul>\n",
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