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Solution: Parallel Courses

Understand how to determine the minimum semesters needed to complete all courses by modeling course prerequisites as a directed graph. Learn to use depth-first search with cycle detection and memoization to identify the longest dependency chain or detect impossible schedules. This lesson helps you apply topological sort concepts to solve course scheduling problems efficiently.

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 ...