leetcode-problemset/leetcode-cn/originData/longest-palindromic-subsequence-after-at-most-k-operations.json

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        "question": {
            "questionId": "3786",
            "questionFrontendId": "3472",
            "categoryTitle": "Algorithms",
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            "title": "Longest Palindromic Subsequence After at Most K Operations",
            "titleSlug": "longest-palindromic-subsequence-after-at-most-k-operations",
            "content": "<p>You are given a string <code>s</code> and an integer <code>k</code>.</p>\n\n<p>In one operation, you can replace the character at any position with the next or previous letter in the alphabet (wrapping around so that <code>&#39;a&#39;</code> is after <code>&#39;z&#39;</code>). For example, replacing <code>&#39;a&#39;</code> with the next letter results in <code>&#39;b&#39;</code>, and replacing <code>&#39;a&#39;</code> with the previous letter results in <code>&#39;z&#39;</code>. Similarly, replacing <code>&#39;z&#39;</code> with the next letter results in <code>&#39;a&#39;</code>, and replacing <code>&#39;z&#39;</code> with the previous letter results in <code>&#39;y&#39;</code>.</p>\n\n<p>Return the length of the <strong>longest <span data-keyword=\"palindrome-string\">palindromic</span> <span data-keyword=\"subsequence-string-nonempty\">subsequence</span></strong> of <code>s</code> that can be obtained after performing <strong>at most</strong> <code>k</code> operations.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">s = &quot;abced&quot;, k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Replace <code>s[1]</code> with the next letter, and <code>s</code> becomes <code>&quot;acced&quot;</code>.</li>\n\t<li>Replace <code>s[4]</code> with the previous letter, and <code>s</code> becomes <code>&quot;accec&quot;</code>.</li>\n</ul>\n\n<p>The subsequence <code>&quot;ccc&quot;</code> forms a palindrome of length 3, which is the maximum.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">s = &quot;</span>aaazzz<span class=\"example-io\">&quot;, k = 4</span></p>\n\n<p><strong>Output:</strong> 6</p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Replace <code>s[0]</code> with the previous letter, and <code>s</code> becomes <code>&quot;zaazzz&quot;</code>.</li>\n\t<li>Replace <code>s[4]</code> with the next letter, and <code>s</code> becomes <code>&quot;zaazaz&quot;</code>.</li>\n\t<li>Replace <code>s[3]</code> with the next letter, and <code>s</code> becomes <code>&quot;zaaaaz&quot;</code>.</li>\n</ul>\n\n<p>The entire string forms a palindrome of length 6.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 200</code></li>\n\t<li><code>1 &lt;= k &lt;= 200</code></li>\n\t<li><code>s</code> consists of only lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "至多 K 次操作后的最长回文子序列",
            "translatedContent": "<p>给你一个字符串 <code>s</code> 和一个整数 <code>k</code>。</p>\n\n<p>在一次操作中，你可以将任意位置的字符替换为字母表中相邻的字符（字母表是循环的，因此&nbsp;<code>'z'</code>&nbsp;的下一个字母是&nbsp;<code>'a'</code>）。例如，将 <code>'a'</code> 替换为下一个字母结果是 <code>'b'</code>，将 <code>'a'</code> 替换为上一个字母结果是 <code>'z'</code>；同样，将 <code>'z'</code> 替换为下一个字母结果是 <code>'a'</code>，替换为上一个字母结果是 <code>'y'</code>。</p>\n\n<p>返回在进行&nbsp;<strong>最多</strong> <code>k</code> 次操作后，<code>s</code> 的&nbsp;<strong>最长回文子序列&nbsp;</strong>的长度。</p>\n\n<p><strong>子序列&nbsp;</strong>是一个&nbsp;<strong>非空&nbsp;</strong>字符串，可以通过删除原字符串中的某些字符（或不删除任何字符）并保持剩余字符的相对顺序得到。</p>\n\n<p><strong>回文&nbsp;</strong>是正着读和反着读都相同的字符串。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">s = \"abced\", k = 2</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>将 <code>s[1]</code> 替换为下一个字母，得到 <code>\"acced\"</code>。</li>\n\t<li>将 <code>s[4]</code> 替换为上一个字母，得到 <code>\"accec\"</code>。</li>\n</ul>\n\n<p>子序列 <code>\"ccc\"</code> 形成一个长度为 3 的回文，这是最长的回文子序列。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">s = \"aaazzz\", k = 4</span></p>\n\n<p><strong>输出:</strong> 6</p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>将 <code>s[0]</code> 替换为上一个字母，得到 <code>\"zaazzz\"</code>。</li>\n\t<li>将 <code>s[4]</code> 替换为下一个字母，得到 <code>\"zaazaz\"</code>。</li>\n\t<li>将 <code>s[3]</code> 替换为下一个字母，得到 <code>\"zaaaaz\"</code>。</li>\n</ul>\n\n<p>整个字符串形成一个长度为 6 的回文。</p>\n</div>\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;= 200</code></li>\n\t<li><code>1 &lt;= k &lt;= 200</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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                "Use dynamic programming.",
                "<code>dp[i][j][k]</code> is the length of the longest palindromic subsequence in substring <code>[i..j]</code> with cost at most <code>k</code>.",
                "<code>dp[i][j][k] = max(dp[i + 1][j][k], dp[i][j - 1][k], dp[i + 1][j - 1][k - dist(s[i], s[j])] + 2)</code>, where <code>dist(x, y)</code> is the minimum cyclic distance between <code>x</code> and <code>y</code>."
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target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 3.3.1<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 2.1.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.85.0<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a>\\u3001<a href=\\\"https:\\/\\/crates.io\\/crates\\/regex\\\" target=\\\"_blank\\\">regex<\\/a> \\u548c <a href=\\\"https:\\/\\/crates.io\\/crates\\/itertools\\\" target=\\\"_blank\\\">itertools<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.2<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 5.7.3<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2024<\\/p>\\r\\n\\r\\n<p><a href=\\\"https:\\/\\/lodash.com\\\" 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target=\\\"_blank\\\">\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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