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Solution: Parallel Courses

Explore how to determine the minimum number of semesters needed to complete all courses given their prerequisites. This lesson shows you how to use topological sort and DFS to detect cycles and find the longest dependency chain efficiently, ensuring you understand the underlying algorithm and complexity considerations for solving course scheduling problems.

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 ...