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

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"question": {
"questionId": "2577",
"questionFrontendId": "2484",
"categoryTitle": "Algorithms",
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"title": "Count Palindromic Subsequences",
"titleSlug": "count-palindromic-subsequences",
"content": "<p>Given a string of digits <code>s</code>, return <em>the number of <strong>palindromic subsequences</strong> of</em> <code>s</code><em> having length </em><code>5</code>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p><strong>Note:</strong></p>\n\n<ul>\n\t<li>A string is <strong>palindromic</strong> if it reads the same forward and backward.</li>\n\t<li>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.</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;103301&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \nThere are 6 possible subsequences of length 5: &quot;10330&quot;,&quot;10331&quot;,&quot;10301&quot;,&quot;10301&quot;,&quot;13301&quot;,&quot;03301&quot;. \nTwo of them (both equal to &quot;10301&quot;) are palindromic.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;0000000&quot;\n<strong>Output:</strong> 21\n<strong>Explanation:</strong> All 21 subsequences are &quot;00000&quot;, which is palindromic.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;9999900000&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The only two palindromic subsequences are &quot;99999&quot; and &quot;00000&quot;.\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>4</sup></code></li>\n\t<li><code>s</code> consists of digits.</li>\n</ul>\n",
"translatedTitle": "统计回文子序列数目",
"translatedContent": "<p>给你数字字符串&nbsp;<code>s</code>&nbsp;,请你返回&nbsp;<code>s</code>&nbsp;中长度为&nbsp;<code>5</code>&nbsp;的 <b>回文子序列</b>&nbsp;数目。由于答案可能很大,请你将答案对&nbsp;<code>10<sup>9</sup> + 7</code>&nbsp;<strong>取余</strong>&nbsp;后返回。</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>如果一个字符串从前往后和从后往前读相同,那么它是 <strong>回文字符串</strong>&nbsp;。</li>\n\t<li>子序列是一个字符串中删除若干个字符后,不改变字符顺序,剩余字符构成的字符串。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>s = \"103301\"\n<b>输出:</b>2\n<b>解释:</b>\n总共有 6 长度为 5 的子序列:\"10330\" \"10331\" \"10301\" \"10301\" \"13301\" \"03301\" 。\n它们中有两个都是 \"10301\")是回文的。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>s = \"0000000\"\n<b>输出:</b>21\n<b>解释:</b>所有 21 个长度为 5 的子序列都是 \"00000\" ,都是回文的。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>s = \"9999900000\"\n<b>输出:</b>2\n<b>解释:</b>仅有的两个回文子序列是 \"99999\" 和 \"00000\" 。\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<sup>4</sup></code></li>\n\t<li><code>s</code>&nbsp;只包含数字字符。</li>\n</ul>\n",
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"hints": [
"There are 100 possibilities for the first two characters of the palindrome.",
"Iterate over all characters, letting the current character be the center of the palindrome."
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