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Solution: Course Schedule

Understand how to solve the course schedule problem by applying topological sort and depth-first search algorithms to detect cycles and verify if all courses can be completed based on prerequisite dependencies. Learn to analyze time and space complexity for these graph-based solutions.

Statement

You are given an integer, num_courses, representing the total number of courses you need to complete, labeled from 0 to num_courses - 1.

You are also given a prerequisites array, where prerequisites[i] = [a[i], b[i]] indicates that you must take course b[i] first if you want to take the course a[i]. For example, the pair [1,0][1, 0] indicates that to take course ...