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{
"data": {
"question": {
"questionId": "647",
"questionFrontendId": "647",
"categoryTitle": "Algorithms",
"boundTopicId": 1708,
"title": "Palindromic Substrings",
"titleSlug": "palindromic-substrings",
"content": "<p>Given a string <code>s</code>, return <em>the number of <strong>palindromic substrings</strong> in it</em>.</p>\n\n<p>A string is a <strong>palindrome</strong> when it reads the same backward as forward.</p>\n\n<p>A <strong>substring</strong> is a contiguous sequence of characters within the string.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abc&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Three palindromic strings: &quot;a&quot;, &quot;b&quot;, &quot;c&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;aaa&quot;\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> Six palindromic strings: &quot;a&quot;, &quot;a&quot;, &quot;a&quot;, &quot;aa&quot;, &quot;aa&quot;, &quot;aaa&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;= 1000</code></li>\n\t<li><code>s</code> consists of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "回文子串",
"translatedContent": "<p>给你一个字符串 <code>s</code> ,请你统计并返回这个字符串中 <strong>回文子串</strong> 的数目。</p>\n\n<p><strong>回文字符串</strong> 是正着读和倒过来读一样的字符串。</p>\n\n<p><strong>子字符串</strong> 是字符串中的由连续字符组成的一个序列。</p>\n\n<p>具有不同开始位置或结束位置的子串,即使是由相同的字符组成,也会被视作不同的子串。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"abc\"\n<strong>输出:</strong>3\n<strong>解释:</strong>三个回文子串: \"a\", \"b\", \"c\"\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"aaa\"\n<strong>输出:</strong>6\n<strong>解释:</strong>6个回文子串: \"a\", \"a\", \"a\", \"aa\", \"aa\", \"aaa\"</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</code> 由小写英文字母组成</li>\n</ul>\n",
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"hints": [
"How can we reuse a previously computed palindrome to compute a larger palindrome?",
"If “aba” is a palindrome, is “xabax” a palindrome? Similarly is “xabay” a palindrome?",
"Complexity based hint:</br>\r\nIf we use brute force and check whether for every start and end position a substring is a palindrome we have O(n^2) start - end pairs and O(n) palindromic checks. Can we reduce the time for palindromic checks to O(1) by reusing some previous computation?"
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