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Kotlin-based LeetCode algorithm problem solutions, regularly updated
210\. Course Schedule II
Medium
There are a total of `numCourses` courses you have to take, labeled from `0` to `numCourses - 1`. You are given an array `prerequisites` where prerequisites[i] = [ai, bi]
indicates that you **must** take course bi
first if you want to take course ai
.
* For example, the pair `[0, 1]`, indicates that to take course `0` you have to first take course `1`.
Return _the ordering of courses you should take to finish all courses_. If there are many valid answers, return **any** of them. If it is impossible to finish all courses, return **an empty array**.
**Example 1:**
**Input:** numCourses = 2, prerequisites = [[1,0]]
**Output:** [0,1]
**Explanation:** There are a total of 2 courses to take. To take course 1 you should have finished course 0. So the correct course order is [0,1].
**Example 2:**
**Input:** numCourses = 4, prerequisites = [[1,0],[2,0],[3,1],[3,2]]
**Output:** [0,2,1,3]
**Explanation:** There are a total of 4 courses to take. To take course 3 you should have finished both courses 1 and 2. Both courses 1 and 2 should be taken after you finished course 0. So one correct course order is [0,1,2,3]. Another correct ordering is [0,2,1,3].
**Example 3:**
**Input:** numCourses = 1, prerequisites = []
**Output:** [0]
**Constraints:**
* `1 <= numCourses <= 2000`
* `0 <= prerequisites.length <= numCourses * (numCourses - 1)`
* `prerequisites[i].length == 2`
* 0 <= ai, bi < numCourses
* ai != bi
* All the pairs [ai, bi]
are **distinct**.