leetcode-problemset/leetcode-cn/originData/course-schedule.json

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        "question": {
            "questionId": "207",
            "questionFrontendId": "207",
            "categoryTitle": "Algorithms",
            "boundTopicId": 1383,
            "title": "Course Schedule",
            "titleSlug": "course-schedule",
            "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>b<sub>i</sub></code> first if you want to take course <code>a<sub>i</sub></code>.</p>\n\n<ul>\n\t<li>For example, the pair <code>[0, 1]</code>, indicates that to take course <code>0</code> you have to first take course <code>1</code>.</li>\n</ul>\n\n<p>Return <code>true</code> if you can finish all courses. Otherwise, return <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> numCourses = 2, prerequisites = [[1,0]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> There are a total of 2 courses to take. \nTo take course 1 you should have finished course 0. So it is possible.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> numCourses = 2, prerequisites = [[1,0],[0,1]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> There are a total of 2 courses to take. \nTo take course 1 you should have finished course 0, and to take course 0 you should also have finished course 1. So it is impossible.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= numCourses &lt;= 2000</code></li>\n\t<li><code>0 &lt;= prerequisites.length &lt;= 5000</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; numCourses</code></li>\n\t<li>All the pairs prerequisites[i] are <strong>unique</strong>.</li>\n</ul>\n",
            "translatedTitle": "课程表",
            "translatedContent": "<p>你这个学期必须选修 <code>numCourses</code> 门课程，记为&nbsp;<code>0</code>&nbsp;到&nbsp;<code>numCourses - 1</code> 。</p>\n\n<p>在选修某些课程之前需要一些先修课程。 先修课程按数组&nbsp;<code>prerequisites</code> 给出，其中&nbsp;<code>prerequisites[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> ，表示如果要学习课程&nbsp;<code>a<sub>i</sub></code> 则 <strong>必须</strong> 先学习课程&nbsp; <code>b<sub>i</sub></code><sub> </sub>。</p>\n\n<ul>\n\t<li>例如，先修课程对&nbsp;<code>[0, 1]</code> 表示：想要学习课程 <code>0</code> ，你需要先完成课程 <code>1</code> 。</li>\n</ul>\n\n<p>请你判断是否可能完成所有课程的学习？如果可以，返回 <code>true</code> ；否则，返回 <code>false</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>numCourses = 2, prerequisites = [[1,0]]\n<strong>输出：</strong>true\n<strong>解释：</strong>总共有 2 门课程。学习课程 1 之前，你需要完成课程 0 。这是可能的。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>numCourses = 2, prerequisites = [[1,0],[0,1]]\n<strong>输出：</strong>false\n<strong>解释：</strong>总共有 2 门课程。学习课程 1 之前，你需要先完成​课程 0 ；并且学习课程 0 之前，你还应先完成课程 1 。这是不可能的。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= numCourses &lt;= 2000</code></li>\n\t<li><code>0 &lt;= prerequisites.length &lt;= 5000</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; numCourses</code></li>\n\t<li><code>prerequisites[i]</code> 中的所有课程对 <strong>互不相同</strong></li>\n</ul>\n",
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                    "name": "Depth-First Search",
                    "slug": "depth-first-search",
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                    "code": "class Solution(object):\n    def canFinish(self, numCourses, prerequisites):\n        \"\"\"\n        :type numCourses: int\n        :type prerequisites: List[List[int]]\n        :rtype: bool\n        \"\"\"",
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                    "code": "# @param {Integer} num_courses\n# @param {Integer[][]} prerequisites\n# @return {Boolean}\ndef can_finish(num_courses, prerequisites)\n\nend",
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            "hints": [
                "This problem is equivalent to finding if a cycle exists in a directed graph. If a cycle exists, no topological ordering exists and therefore it will be impossible to take all courses.",
                "<a href=\"https://www.cs.princeton.edu/~wayne/kleinberg-tardos/pdf/03Graphs.pdf\" target=\"_blank\">Topological Sort via DFS</a> - A great tutorial explaining the basic concepts of Topological Sort.",
                "Topological sort could also be done via <a href=\"http://en.wikipedia.org/wiki/Topological_sorting#Algorithms\" target=\"_blank\">BFS</a>."
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