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        "question": {
            "questionId": "1558",
            "questionFrontendId": "1462",
            "categoryTitle": "Algorithms",
            "boundTopicId": 265533,
            "title": "Course Schedule IV",
            "titleSlug": "course-schedule-iv",
            "content": "<p>There are a total of <code>numCourses</code> courses you have to take, labeled from <code>0</code> to <code>numCourses - 1</code>. You are given an array <code>prerequisites</code> where <code>prerequisites[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that you <strong>must</strong> take course <code>a<sub>i</sub></code> first if you want to take course <code>b<sub>i</sub></code>.</p>\n\n<ul>\n\t<li>For example, the pair <code>[0, 1]</code> indicates that you have to take course <code>0</code> before you can take course <code>1</code>.</li>\n</ul>\n\n<p>Prerequisites can also be <strong>indirect</strong>. If course <code>a</code> is a prerequisite of course <code>b</code>, and course <code>b</code> is a prerequisite of course <code>c</code>, then course <code>a</code> is a prerequisite of course <code>c</code>.</p>\n\n<p>You are also given an array <code>queries</code> where <code>queries[j] = [u<sub>j</sub>, v<sub>j</sub>]</code>. For the <code>j<sup>th</sup></code> query, you should answer whether course <code>u<sub>j</sub></code> is a prerequisite of course <code>v<sub>j</sub></code> or not.</p>\n\n<p>Return <i>a boolean array </i><code>answer</code><i>, where </i><code>answer[j]</code><i> is the answer to the </i><code>j<sup>th</sup></code><i> query.</i></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/01/courses4-1-graph.jpg\" style=\"width: 222px; height: 62px;\" />\n<pre>\n<strong>Input:</strong> numCourses = 2, prerequisites = [[1,0]], queries = [[0,1],[1,0]]\n<strong>Output:</strong> [false,true]\n<strong>Explanation:</strong> The pair [1, 0] indicates that you have to take course 1 before you can take course 0.\nCourse 0 is not a prerequisite of course 1, but the opposite is true.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> numCourses = 2, prerequisites = [], queries = [[1,0],[0,1]]\n<strong>Output:</strong> [false,false]\n<strong>Explanation:</strong> There are no prerequisites, and each course is independent.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/01/courses4-3-graph.jpg\" style=\"width: 222px; height: 222px;\" />\n<pre>\n<strong>Input:</strong> numCourses = 3, prerequisites = [[1,2],[1,0],[2,0]], queries = [[1,0],[1,2]]\n<strong>Output:</strong> [true,true]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= numCourses &lt;= 100</code></li>\n\t<li><code>0 &lt;= prerequisites.length &lt;= (numCourses * (numCourses - 1) / 2)</code></li>\n\t<li><code>prerequisites[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>All the pairs <code>[a<sub>i</sub>, b<sub>i</sub>]</code> are <strong>unique</strong>.</li>\n\t<li>The prerequisites graph has no cycles.</li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= u<sub>i</sub>, v<sub>i</sub> &lt;= n - 1</code></li>\n\t<li><code>u<sub>i</sub> != v<sub>i</sub></code></li>\n</ul>\n",
            "translatedTitle": "课程表 IV",
            "translatedContent": "<p>你总共需要上<meta charset=\"UTF-8\" />&nbsp;<code>numCourses</code>&nbsp;门课，课程编号依次为 <code>0</code>&nbsp;到&nbsp;<code>numCourses-1</code>&nbsp;。你会得到一个数组&nbsp;<code>prerequisite</code> ，其中<meta charset=\"UTF-8\" />&nbsp;<code>prerequisites[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>&nbsp;表示如果你想选<meta charset=\"UTF-8\" />&nbsp;<code>b<sub>i</sub></code> 课程，你<strong> 必须</strong> 先选<meta charset=\"UTF-8\" />&nbsp;<code>a<sub>i</sub></code>&nbsp;课程。</p>\n\n<ul>\n\t<li>有的课会有直接的先修课程，比如如果想上课程 <code>1</code>&nbsp;，你必须先上课程 <code>0</code>&nbsp;，那么会以 <code>[0,1]</code>&nbsp;数对的形式给出先修课程数对。</li>\n</ul>\n\n<p>先决条件也可以是 <strong>间接</strong> 的。如果课程 <code>a</code> 是课程 <code>b</code> 的先决条件，课程 <code>b</code> 是课程 <code>c</code> 的先决条件，那么课程 <code>a</code> 就是课程 <code>c</code> 的先决条件。</p>\n\n<p>你也得到一个数组<meta charset=\"UTF-8\" />&nbsp;<code>queries</code>&nbsp;，其中<meta charset=\"UTF-8\" />&nbsp;<code>queries[j] = [u<sub>j</sub>, v<sub>j</sub>]</code>。对于第 <code>j</code> 个查询，您应该回答课程<meta charset=\"UTF-8\" />&nbsp;<code>u<sub>j</sub></code>&nbsp;是否是课程<meta charset=\"UTF-8\" />&nbsp;<code>v<sub>j</sub></code>&nbsp;的先决条件。</p>\n\n<p>返回一个布尔数组 <code>answer</code> ，其中 <code>answer[j]</code> 是第 <code>j</code> 个查询的答案。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/01/courses4-1-graph.jpg\" /></p>\n\n<pre>\n<strong>输入：</strong>numCourses = 2, prerequisites = [[1,0]], queries = [[0,1],[1,0]]\n<strong>输出：</strong>[false,true]\n<strong>解释：</strong>课程 0 不是课程 1 的先修课程，但课程 1 是课程 0 的先修课程。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>numCourses = 2, prerequisites = [], queries = [[1,0],[0,1]]\n<strong>输出：</strong>[false,false]\n<strong>解释：</strong>没有先修课程对，所以每门课程之间是独立的。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/05/01/courses4-3-graph.jpg\" /></p>\n\n<pre>\n<strong>输入：</strong>numCourses = 3, prerequisites = [[1,2],[1,0],[2,0]], queries = [[1,0],[1,2]]\n<strong>输出：</strong>[true,true]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<p><meta charset=\"UTF-8\" /></p>\n\n<ul>\n\t<li><code>2 &lt;= numCourses &lt;= 100</code></li>\n\t<li><code>0 &lt;= prerequisites.length &lt;= (numCourses * (numCourses - 1) / 2)</code></li>\n\t<li><code>prerequisites[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li><code>a<sub>i</sub>&nbsp;!= b<sub>i</sub></code></li>\n\t<li>每一对<meta charset=\"UTF-8\" />&nbsp;<code>[a<sub>i</sub>, b<sub>i</sub>]</code>&nbsp;都 <strong>不同</strong></li>\n\t<li>先修课程图中没有环。</li>\n\t<li><code>0 &lt;= u<sub>i</sub>, v<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li><code>u<sub>i</sub>&nbsp;!= v<sub>i</sub></code></li>\n</ul>\n",
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                "Imagine if the courses are nodes of a graph. We need to build an array isReachable[i][j].",
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href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\\" target=\\\"_blank\\\"> datastructures-js\\/queue<\\/a>\\u3002<\\/p>\"],\"ruby\":[\"Ruby\",\"<p>\\u4f7f\\u7528<code>Ruby 3.1<\\/code>\\u6267\\u884c<\\/p>\\r\\n\\r\\n<p>\\u4e00\\u4e9b\\u5e38\\u7528\\u7684\\u6570\\u636e\\u7ed3\\u6784\\u5df2\\u5728 Algorithms \\u6a21\\u5757\\u4e2d\\u63d0\\u4f9b\\uff1ahttps:\\/\\/www.rubydoc.info\\/github\\/kanwei\\/algorithms\\/Algorithms<\\/p>\"],\"swift\":[\"Swift\",\"<p>\\u7248\\u672c\\uff1a<code>Swift 5.5.2<\\/code><\\/p>\\r\\n\\r\\n<p>\\u6211\\u4eec\\u901a\\u5e38\\u4fdd\\u8bc1\\u66f4\\u65b0\\u5230 <a href=\\\"https:\\/\\/swift.org\\/download\\/\\\" target=\\\"_blank\\\">Apple\\u653e\\u51fa\\u7684\\u6700\\u65b0\\u7248Swift<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u53d1\\u73b0Swift\\u4e0d\\u662f\\u6700\\u65b0\\u7248\\u7684\\uff0c\\u8bf7\\u8054\\u7cfb\\u6211\\u4eec\\uff01\\u6211\\u4eec\\u5c06\\u5c3d\\u5feb\\u66f4\\u65b0\\u3002<\\/p>\"],\"golang\":[\"Go\",\"<p>\\u7248\\u672c\\uff1a<code>Go 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 --strictBindCallApply --strictFunctionTypes --target ES2020<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.3<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 24.2\"],\"elixir\":[\"Elixir\",\"Elixir 1.13.0 with Erlang\\/OTP 24.2\"]}",
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