leetcode-problemset/leetcode-cn/originData/count-different-palindromic-subsequences.json

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            "title": "Count Different Palindromic Subsequences",
            "titleSlug": "count-different-palindromic-subsequences",
            "content": "<p>Given a string s, return <em>the number of different non-empty palindromic subsequences in</em> <code>s</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 subsequence of a string is obtained by deleting zero or more characters from the string.</p>\n\n<p>A sequence is palindromic if it is equal to the sequence reversed.</p>\n\n<p>Two sequences <code>a<sub>1</sub>, a<sub>2</sub>, ...</code> and <code>b<sub>1</sub>, b<sub>2</sub>, ...</code> are different if there is some <code>i</code> for which <code>a<sub>i</sub> != b<sub>i</sub></code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;bccb&quot;\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The 6 different non-empty palindromic subsequences are &#39;b&#39;, &#39;c&#39;, &#39;bb&#39;, &#39;cc&#39;, &#39;bcb&#39;, &#39;bccb&#39;.\nNote that &#39;bcb&#39; is counted only once, even though it occurs twice.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abcdabcdabcdabcdabcdabcdabcdabcddcbadcbadcbadcbadcbadcbadcbadcba&quot;\n<strong>Output:</strong> 104860361\n<strong>Explanation:</strong> There are 3104860382 different non-empty palindromic subsequences, which is 104860361 modulo 10<sup>9</sup> + 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;= 1000</code></li>\n\t<li><code>s[i]</code> is either <code>&#39;a&#39;</code>, <code>&#39;b&#39;</code>, <code>&#39;c&#39;</code>, or <code>&#39;d&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "统计不同回文子序列",
            "translatedContent": "<p>给定一个字符串 s，返回 <em><code>s</code>&nbsp;中不同的非空「回文子序列」个数 。</em></p>\n\n<p>通过从 s&nbsp;中删除 0 个或多个字符来获得子序列。</p>\n\n<p>如果一个字符序列与它反转后的字符序列一致，那么它是「回文字符序列」。</p>\n\n<p>如果有某个 <code>i</code> , 满足&nbsp;<code>a<sub>i</sub>&nbsp;!= b<sub>i</sub></code><sub>&nbsp;</sub>，则两个序列&nbsp;<code>a<sub>1</sub>, a<sub>2</sub>, ...</code>&nbsp;和&nbsp;<code>b<sub>1</sub>, b<sub>2</sub>, ...</code>&nbsp;不同。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>结果可能很大，你需要对&nbsp;<code>10<sup>9</sup>&nbsp;+ 7</code>&nbsp;取模 。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = 'bccb'\n<strong>输出：</strong>6\n<strong>解释：</strong>6 个不同的非空回文子字符序列分别为：'b', 'c', 'bb', 'cc', 'bcb', 'bccb'。\n注意：'bcb' 虽然出现两次但仅计数一次。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>s = 'abcdabcdabcdabcdabcdabcdabcdabcddcbadcbadcbadcbadcbadcbadcbadcba'\n<strong>输出：</strong>104860361\n<strong>解释：</strong>共有 3104860382 个不同的非空回文子序列，104860361 对 10<sup>9</sup> + 7 取模后的值。\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;= 1000</code></li>\n\t<li><code>s[i]</code>&nbsp;仅包含&nbsp;<code>'a'</code>,&nbsp;<code>'b'</code>,&nbsp;<code>'c'</code>&nbsp;或&nbsp;<code>'d'</code>&nbsp;</li>\n</ul>\n",
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                "Let dp(i, j) be the answer for the string T = S[i:j+1] including the empty sequence. The answer is the number of unique characters in T, plus palindromes of the form \"a_a\", \"b_b\", \"c_c\", and \"d_d\", where \"_\" represents zero or more characters."
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