Solution: Course Schedule II
Explore how to use topological sort and breadth-first search to find a valid order for completing courses with prerequisites. Understand how to build and traverse graphs representing course dependencies, detect cycles, and implement an optimized solution with linear time complexity to solve the Course Schedule II problem.
Statement
You are given n courses, labeled from 0 to n - 1. Some courses have prerequisites, which are provided as a list of pairs: prerequisites[i]
Your task is to determine a valid order in which you can complete all the courses and return it as an array of course labels.
If there are multiple valid orderings, you can return any of them.
If it’s impossible to finish all courses (due to a cycle in prerequisites), return an empty array.
Note: There can be a course in the
to range with no prerequisites.
Constraints:
Let be the number of courses.