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"categoryTitle": "Algorithms",
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"title": "Longest Ideal Subsequence",
"titleSlug": "longest-ideal-subsequence",
"content": "<p>You are given a string <code>s</code> consisting of lowercase letters and an integer <code>k</code>. We call a string <code>t</code> <strong>ideal</strong> if the following conditions are satisfied:</p>\n\n<ul>\n\t<li><code>t</code> is a <strong>subsequence</strong> of the string <code>s</code>.</li>\n\t<li>The absolute difference in the alphabet order of every two <strong>adjacent</strong> letters in <code>t</code> is less than or equal to <code>k</code>.</li>\n</ul>\n\n<p>Return <em>the length of the <strong>longest</strong> ideal string</em>.</p>\n\n<p>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.</p>\n\n<p><strong>Note</strong> that the alphabet order is not cyclic. For example, the absolute difference in the alphabet order of <code>&#39;a&#39;</code> and <code>&#39;z&#39;</code> is <code>25</code>, not <code>1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;acfgbd&quot;, k = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The longest ideal string is &quot;acbd&quot;. The length of this string is 4, so 4 is returned.\nNote that &quot;acfgbd&quot; is not ideal because &#39;c&#39; and &#39;f&#39; have a difference of 3 in alphabet order.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abcd&quot;, k = 3\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The longest ideal string is &quot;abcd&quot;. The length of this string is 4, so 4 is returned.\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>5</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 25</code></li>\n\t<li><code>s</code> consists of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "最长理想子序列",
"translatedContent": "<p>给你一个由小写字母组成的字符串 <code>s</code> ,和一个整数 <code>k</code> 。如果满足下述条件,则可以将字符串 <code>t</code> 视作是 <strong>理想字符串</strong> </p>\n\n<ul>\n\t<li><code>t</code> 是字符串 <code>s</code> 的一个子序列。</li>\n\t<li><code>t</code> 中每两个 <strong>相邻</strong> 字母在字母表中位次的绝对差值小于或等于 <code>k</code> 。</li>\n</ul>\n\n<p>返回 <strong>最长</strong> 理想字符串的长度。</p>\n\n<p>字符串的子序列同样是一个字符串,并且子序列还满足:可以经由其他字符串删除某些字符(也可以不删除)但不改变剩余字符的顺序得到。</p>\n\n<p><strong>注意:</strong>字母表顺序不会循环。例如,<code>'a'</code> 和 <code>'z'</code> 在字母表中位次的绝对差值是 <code>25</code> ,而不是 <code>1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"acfgbd\", k = 2\n<strong>输出:</strong>4\n<strong>解释:</strong>最长理想字符串是 \"acbd\" 。该字符串长度为 4 ,所以返回 4 。\n注意 \"acfgbd\" 不是理想字符串,因为 'c' 和 'f' 的字母表位次差值为 3 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"abcd\", k = 3\n<strong>输出:</strong>4\n<strong>解释:</strong>最长理想字符串是 \"abcd\" ,该字符串长度为 4 ,所以返回 4 。\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>5</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 25</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 you calculate the longest ideal subsequence that ends at a specific index i?",
"Can you calculate it for all positions i? How can you use previously calculated answers to calculate the answer for the next position?"
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