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Solution: Parallel Courses

Explore how to use depth-first search and topological sorting to solve the parallel courses scheduling problem. Understand how to model courses as a directed graph with prerequisites, detect cycles that make scheduling impossible, and calculate the minimum semesters required. This lesson equips you with the ability to implement efficient algorithms for complex dependency graphs, optimizing course scheduling and managing prerequisites effectively.

Statement

You are designing a course schedule for a university with n courses, labeled from 1 to n. The prerequisite requirements are given in an array, relations, where each relations[i]=[prevCoursei,nextCoursei]\text{relations}[i] = [\text{prevCourse}_i, \text{nextCourse}_i] means that prevCoursei\text{prevCourse}_i must be completed before you can enroll in nextCoursei\text{nextCourse}_i ...