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Solution: Parallel Courses

Explore how to apply topological sort and depth-first search to calculate the minimum semesters needed to complete all courses with prerequisites. Understand cycle detection for impossible schedules and use memoization to optimize your solution in 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 ...