mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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191 lines
30 KiB
JSON
191 lines
30 KiB
JSON
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"title": "Longest Unequal Adjacent Groups Subsequence II",
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"content": "<p>You are given a string array <code>words</code>, and an array <code>groups</code>, both arrays having length <code>n</code>.</p>\n\n<p>The <strong>hamming distance</strong> between two strings of equal length is the number of positions at which the corresponding characters are <strong>different</strong>.</p>\n\n<p>You need to select the <strong>longest</strong> <span data-keyword=\"subsequence-array\">subsequence</span> from an array of indices <code>[0, 1, ..., n - 1]</code>, such that for the subsequence denoted as <code>[i<sub>0</sub>, i<sub>1</sub>, ..., i<sub>k-1</sub>]</code> having length <code>k</code>, the following holds:</p>\n\n<ul>\n\t<li>For <strong>adjacent</strong> indices in the subsequence, their corresponding groups are <strong>unequal</strong>, i.e., <code>groups[i<sub>j</sub>] != groups[i<sub>j+1</sub>]</code>, for each <code>j</code> where <code>0 < j + 1 < k</code>.</li>\n\t<li><code>words[i<sub>j</sub>]</code> and <code>words[i<sub>j+1</sub>]</code> are <strong>equal</strong> in length, and the <strong>hamming distance</strong> between them is <code>1</code>, where <code>0 < j + 1 < k</code>, for all indices in the subsequence.</li>\n</ul>\n\n<p>Return <em>a string array containing the words corresponding to the indices <strong>(in order)</strong> in the selected subsequence</em>. If there are multiple answers, return <em>any of them</em>.</p>\n\n<p><strong>Note:</strong> strings in <code>words</code> may be <strong>unequal</strong> in length.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">words = ["bab","dab","cab"], groups = [1,2,2]</span></p>\n\n<p><strong>Output: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">["bab","cab"]</span></p>\n\n<p><strong>Explanation: </strong>A subsequence that can be selected is <code>[0,2]</code>.</p>\n\n<ul>\n\t<li><code>groups[0] != groups[2]</code></li>\n\t<li><code>words[0].length == words[2].length</code>, and the hamming distance between them is 1.</li>\n</ul>\n\n<p>So, a valid answer is <code>[words[0],words[2]] = ["bab","cab"]</code>.</p>\n\n<p>Another subsequence that can be selected is <code>[0,1]</code>.</p>\n\n<ul>\n\t<li><code>groups[0] != groups[1]</code></li>\n\t<li><code>words[0].length == words[1].length</code>, and the hamming distance between them is <code>1</code>.</li>\n</ul>\n\n<p>So, another valid answer is <code>[words[0],words[1]] = ["bab","dab"]</code>.</p>\n\n<p>It can be shown that the length of the longest subsequence of indices that satisfies the conditions is <code>2</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">words = ["a","b","c","d"], groups = [1,2,3,4]</span></p>\n\n<p><strong>Output: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">["a","b","c","d"]</span></p>\n\n<p><strong>Explanation: </strong>We can select the subsequence <code>[0,1,2,3]</code>.</p>\n\n<p>It satisfies both conditions.</p>\n\n<p>Hence, the answer is <code>[words[0],words[1],words[2],words[3]] = ["a","b","c","d"]</code>.</p>\n\n<p>It has the longest length among all subsequences of indices that satisfy the conditions.</p>\n\n<p>Hence, it is the only answer.</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n == words.length == groups.length <= 1000</code></li>\n\t<li><code>1 <= words[i].length <= 10</code></li>\n\t<li><code>1 <= groups[i] <= n</code></li>\n\t<li><code>words</code> consists of <strong>distinct</strong> strings.</li>\n\t<li><code>words[i]</code> consists of lowercase English letters.</li>\n</ul>\n",
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"translatedTitle": "最长相邻不相等子序列 II",
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"translatedContent": "<p>给你一个整数 <code>n</code> 和一个下标从 <strong>0</strong> 开始的字符串数组 <code>words</code> ,和一个下标从 <strong>0</strong> 开始的数组 <code>groups</code> ,两个数组长度都是 <code>n</code> 。</p>\n\n<p>两个长度相等字符串的 <strong>汉明距离</strong> 定义为对应位置字符 <strong>不同</strong> 的数目。</p>\n\n<p>你需要从下标 <code>[0, 1, ..., n - 1]</code> 中选出一个 <strong>最长<span data-keyword=\"subsequence-array\">子序列</span></strong> ,将这个子序列记作长度为 <code>k</code> 的 <code>[i<sub>0</sub>, i<sub>1</sub>, ..., i<sub>k - 1</sub>]</code> ,它需要满足以下条件:</p>\n\n<ul>\n\t<li><strong>相邻</strong> 下标对应的 <code>groups</code> 值 <strong>不同</strong>。即,对于所有满足 <code>0 < j + 1 < k</code> 的 <code>j</code> 都有 <code>groups[i<sub>j</sub>] != groups[i<sub>j + 1</sub>]</code> 。</li>\n\t<li>对于所有 <code>0 < j + 1 < k</code> 的下标 <code>j</code> ,都满足 <code>words[i<sub>j</sub>]</code> 和 <code>words[i<sub>j + 1</sub>]</code> 的长度 <strong>相等</strong> ,且两个字符串之间的 <strong>汉明距离</strong> 为 <code>1</code> 。</li>\n</ul>\n\n<p>请你返回一个字符串数组,它是下标子序列 <strong>依次</strong> 对应 <code>words</code> 数组中的字符串连接形成的字符串数组。如果有多个答案,返回任意一个。</p>\n\n<p><strong>子序列</strong> 指的是从原数组中删掉一些(也可能一个也不删掉)元素,剩余元素不改变相对位置得到的新的数组。</p>\n\n<p><b>注意:</b><code>words</code> 中的字符串长度可能 <strong>不相等</strong> 。</p>\n\n<p> </p>\n\n<p><strong class=\"example\">示例 1:</strong></p>\n\n<pre>\n<b>输入:</b>n = 3, words = [\"bab\",\"dab\",\"cab\"], groups = [1,2,2]\n<b>输出:</b>[\"bab\",\"cab\"]\n<b>解释:</b>一个可行的子序列是 [0,2] 。\n- groups[0] != groups[2]\n- words[0].length == words[2].length 且它们之间的汉明距离为 1 。\n所以一个可行的答案是 [words[0],words[2]] = [\"bab\",\"cab\"] 。\n另一个可行的子序列是 [0,1] 。\n- groups[0] != groups[1]\n- words[0].length = words[1].length 且它们之间的汉明距离为 1 。\n所以另一个可行的答案是 [words[0],words[1]] = [\"bab\",\"dab\"] 。\n符合题意的最长子序列的长度为 2 。</pre>\n\n<p><strong class=\"example\">示例 2:</strong></p>\n\n<pre>\n<b>输入:</b>n = 4, words = [\"a\",\"b\",\"c\",\"d\"], groups = [1,2,3,4]\n<b>输出:</b>[\"a\",\"b\",\"c\",\"d\"]\n<b>解释:</b>我们选择子序列 [0,1,2,3] 。\n它同时满足两个条件。\n所以答案为 [words[0],words[1],words[2],words[3]] = [\"a\",\"b\",\"c\",\"d\"] 。\n它是所有下标子序列里最长且满足所有条件的。\n所以它是唯一的答案。\n</pre>\n\n<p> </p>\n\n<p><b>提示:</b></p>\n\n<ul>\n\t<li><code>1 <= n == words.length == groups.length <= 1000</code></li>\n\t<li><code>1 <= words[i].length <= 10</code></li>\n\t<li><code>1 <= groups[i] <= n</code></li>\n\t<li><code>words</code> 中的字符串 <strong>互不相同</strong> 。</li>\n\t<li><code>words[i]</code> 只包含小写英文字母。</li>\n</ul>\n",
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"Let <code>dp[i]</code> represent the length of the longest subsequence ending with <code>words[i]</code> that satisfies the conditions.",
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"<code>dp[i] =</code> (maximum value of <code>dp[j]</code>) <code>+ 1</code> for indices <code>j < i</code>, where <code>groups[i] != groups[j]</code>, <code>words[i]</code> and <code>words[j]</code> are equal in length, and the hamming distance between <code>words[i]</code> and <code>words[j]</code> is exactly <code>1</code>.",
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