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Solution: Parallel Courses

Understand how to determine the minimum number of semesters required to complete a set of courses with prerequisites. Learn to model the problem as a directed graph, use DFS traversal with memoization for efficiency, and detect cycles that make scheduling impossible. This lesson helps you apply graph algorithms to solve dependency scheduling problems 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 ...