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leetcode-problemset/leetcode-cn/originData/maximize-palindrome-length-from-subsequences.json
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{
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"question": {
"questionId": "1897",
"questionFrontendId": "1771",
"categoryTitle": "Algorithms",
"boundTopicId": 609229,
"title": "Maximize Palindrome Length From Subsequences",
"titleSlug": "maximize-palindrome-length-from-subsequences",
"content": "<p>You are given two strings, <code>word1</code> and <code>word2</code>. You want to construct a string in the following manner:</p>\n\n<ul>\n\t<li>Choose some <strong>non-empty</strong> subsequence <code>subsequence1</code> from <code>word1</code>.</li>\n\t<li>Choose some <strong>non-empty</strong> subsequence <code>subsequence2</code> from <code>word2</code>.</li>\n\t<li>Concatenate the subsequences: <code>subsequence1 + subsequence2</code>, to make the string.</li>\n</ul>\n\n<p>Return <em>the <strong>length</strong> of the longest <strong>palindrome</strong> that can be constructed in the described manner. </em>If no palindromes can be constructed, return <code>0</code>.</p>\n\n<p>A <strong>subsequence</strong> of a string <code>s</code> is a string that can be made by deleting some (possibly none) characters from <code>s</code> without changing the order of the remaining characters.</p>\n\n<p>A <strong>palindrome</strong> is a string that reads the same forward&nbsp;as well as backward.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> word1 = &quot;cacb&quot;, word2 = &quot;cbba&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> Choose &quot;ab&quot; from word1 and &quot;cba&quot; from word2 to make &quot;abcba&quot;, which is a palindrome.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> word1 = &quot;ab&quot;, word2 = &quot;ab&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Choose &quot;ab&quot; from word1 and &quot;a&quot; from word2 to make &quot;aba&quot;, which is a palindrome.</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> word1 = &quot;aa&quot;, word2 = &quot;bb&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> You cannot construct a palindrome from the described method, so return 0.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= word1.length, word2.length &lt;= 1000</code></li>\n\t<li><code>word1</code> and <code>word2</code> consist of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "由子序列构造的最长回文串的长度",
"translatedContent": "<p>给你两个字符串 <code>word1</code> 和 <code>word2</code> ,请你按下述方法构造一个字符串:</p>\n\n<ul>\n\t<li>从 <code>word1</code> 中选出某个 <strong>非空</strong> 子序列 <code>subsequence1</code> 。</li>\n\t<li>从 <code>word2</code> 中选出某个 <strong>非空</strong> 子序列 <code>subsequence2</code> 。</li>\n\t<li>连接两个子序列 <code>subsequence1 + subsequence2</code> ,得到字符串。</li>\n</ul>\n\n<p>返回可按上述方法构造的最长 <strong>回文串</strong> 的 <strong>长度</strong> 。如果无法构造回文串,返回 <code>0</code> 。</p>\n\n<p>字符串 <code>s</code> 的一个 <strong>子序列</strong> 是通过从 <code>s</code> 中删除一些(也可能不删除)字符而不更改其余字符的顺序生成的字符串。</p>\n\n<p><strong>回文串</strong> 是正着读和反着读结果一致的字符串。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>word1 = \"cacb\", word2 = \"cbba\"\n<strong>输出:</strong>5\n<strong>解释:</strong>从 word1 中选出 \"ab\" ,从 word2 中选出 \"cba\" ,得到回文串 \"abcba\" 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>word1 = \"ab\", word2 = \"ab\"\n<strong>输出:</strong>3\n<strong>解释:</strong>从 word1 中选出 \"ab\" ,从 word2 中选出 \"a\" ,得到回文串 \"aba\" 。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>word1 = \"aa\", word2 = \"bb\"\n<strong>输出:</strong>0\n<strong>解释:</strong>无法按题面所述方法构造回文串,所以返回 0 。</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= word1.length, word2.length &lt;= 1000</code></li>\n\t<li><code>word1</code> 和 <code>word2</code> 由小写英文字母组成</li>\n</ul>\n",
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"hints": [
"Let's ignore the non-empty subsequence constraint. We can concatenate the two strings and find the largest palindromic subsequence with dynamic programming.",
"Iterate through every pair of characters word1[i] and word2[j], and see if some palindrome begins with word1[i] and ends with word2[j]. This ensures that the subsequences are non-empty."
],
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"sampleTestCase": "\"cacb\"\n\"cbba\"",
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