mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
178 lines
24 KiB
JSON
178 lines
24 KiB
JSON
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"questionId": "2276",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1229200,
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"title": "Groups of Strings",
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"content": "<p>You are given a <strong>0-indexed</strong> array of strings <code>words</code>. Each string consists of <strong>lowercase English letters</strong> only. No letter occurs more than once in any string of <code>words</code>.</p>\n\n<p>Two strings <code>s1</code> and <code>s2</code> are said to be <strong>connected</strong> if the set of letters of <code>s2</code> can be obtained from the set of letters of <code>s1</code> by any <strong>one</strong> of the following operations:</p>\n\n<ul>\n\t<li>Adding exactly one letter to the set of the letters of <code>s1</code>.</li>\n\t<li>Deleting exactly one letter from the set of the letters of <code>s1</code>.</li>\n\t<li>Replacing exactly one letter from the set of the letters of <code>s1</code> with any letter, <strong>including</strong> itself.</li>\n</ul>\n\n<p>The array <code>words</code> can be divided into one or more non-intersecting <strong>groups</strong>. A string belongs to a group if any <strong>one</strong> of the following is true:</p>\n\n<ul>\n\t<li>It is connected to <strong>at least one</strong> other string of the group.</li>\n\t<li>It is the <strong>only</strong> string present in the group.</li>\n</ul>\n\n<p>Note that the strings in <code>words</code> should be grouped in such a manner that a string belonging to a group cannot be connected to a string present in any other group. It can be proved that such an arrangement is always unique.</p>\n\n<p>Return <em>an array</em> <code>ans</code> <em>of size</em> <code>2</code> <em>where:</em></p>\n\n<ul>\n\t<li><code>ans[0]</code> <em>is the <strong>maximum number</strong> of groups</em> <code>words</code> <em>can be divided into, and</em></li>\n\t<li><code>ans[1]</code> <em>is the <strong>size of the largest</strong> group</em>.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> words = ["a","b","ab","cde"]\n<strong>Output:</strong> [2,3]\n<strong>Explanation:</strong>\n- words[0] can be used to obtain words[1] (by replacing 'a' with 'b'), and words[2] (by adding 'b'). So words[0] is connected to words[1] and words[2].\n- words[1] can be used to obtain words[0] (by replacing 'b' with 'a'), and words[2] (by adding 'a'). So words[1] is connected to words[0] and words[2].\n- words[2] can be used to obtain words[0] (by deleting 'b'), and words[1] (by deleting 'a'). So words[2] is connected to words[0] and words[1].\n- words[3] is not connected to any string in words.\nThus, words can be divided into 2 groups ["a","b","ab"] and ["cde"]. The size of the largest group is 3. \n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> words = ["a","ab","abc"]\n<strong>Output:</strong> [1,3]\n<strong>Explanation:</strong>\n- words[0] is connected to words[1].\n- words[1] is connected to words[0] and words[2].\n- words[2] is connected to words[1].\nSince all strings are connected to each other, they should be grouped together.\nThus, the size of the largest group is 3.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= words.length <= 2 * 10<sup>4</sup></code></li>\n\t<li><code>1 <= words[i].length <= 26</code></li>\n\t<li><code>words[i]</code> consists of lowercase English letters only.</li>\n\t<li>No letter occurs more than once in <code>words[i]</code>.</li>\n</ul>\n",
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"translatedTitle": "字符串分组",
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"translatedContent": "<p>给你一个下标从 <strong>0 </strong>开始的字符串数组 <code>words</code> 。每个字符串都只包含 <strong>小写英文字母</strong> 。<code>words</code> 中任意一个子串中，每个字母都至多只出现一次。</p>\n\n<p>如果通过以下操作之一，我们可以从 <code>s1</code> 的字母集合得到 <code>s2</code> 的字母集合，那么我们称这两个字符串为 <strong>关联的</strong> ：</p>\n\n<ul>\n\t<li>往 <code>s1</code> 的字母集合中添加一个字母。</li>\n\t<li>从 <code>s1</code> 的字母集合中删去一个字母。</li>\n\t<li>将 <code>s1</code> 中的一个字母替换成另外任意一个字母（也可以替换为这个字母本身）。</li>\n</ul>\n\n<p>数组 <code>words</code> 可以分为一个或者多个无交集的 <strong>组</strong> 。如果一个字符串与另一个字符串关联，那么它们应当属于同一个组。</p>\n\n<p>注意，你需要确保分好组后，一个组内的任一字符串与其他组的字符串都不关联。可以证明在这个条件下，分组方案是唯一的。</p>\n\n<p>请你返回一个长度为 <code>2</code> 的数组 <code>ans</code> ：</p>\n\n<ul>\n\t<li><code>ans[0]</code> 是 <code>words</code> 分组后的 <strong>总组数</strong> 。</li>\n\t<li><code>ans[1]</code> 是字符串数目最多的组所包含的字符串数目。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>words = [\"a\",\"b\",\"ab\",\"cde\"]\n<b>输出：</b>[2,3]\n<b>解释：</b>\n- words[0] 可以得到 words[1] （将 'a' 替换为 'b'）和 words[2] （添加 'b'）。所以 words[0] 与 words[1] 和 words[2] 关联。\n- words[1] 可以得到 words[0] （将 'b' 替换为 'a'）和 words[2] （添加 'a'）。所以 words[1] 与 words[0] 和 words[2] 关联。\n- words[2] 可以得到 words[0] （删去 'b'）和 words[1] （删去 'a'）。所以 words[2] 与 words[0] 和 words[1] 关联。\n- words[3] 与 words 中其他字符串都不关联。\n所以，words 可以分成 2 个组 [\"a\",\"b\",\"ab\"] 和 [\"cde\"] 。最大的组大小为 3 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>words = [\"a\",\"ab\",\"abc\"]\n<b>输出：</b>[1,3]\n<strong>解释：</strong>\n- words[0] 与 words[1] 关联。\n- words[1] 与 words[0] 和 words[2] 关联。\n- words[2] 与 words[1] 关联。\n由于所有字符串与其他字符串都关联，所以它们全部在同一个组内。\n所以最大的组大小为 3 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= words.length <= 2 * 10<sup>4</sup></code></li>\n\t<li><code>1 <= words[i].length <= 26</code></li>\n\t<li><code>words[i]</code> 只包含小写英文字母。</li>\n\t<li><code>words[i]</code> 中每个字母最多只出现一次。</li>\n</ul>\n",
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"Can we build a graph from words, where there exists an edge between nodes i and j if words[i] and words[j] are connected?",
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"The problem now boils down to finding the total number of components and the size of the largest component in the graph.",
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1.17<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 <a href=\\\"https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 4.5.4<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict 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