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Solution: Parallel Courses

Explore how to solve the minimum semesters course scheduling problem by using depth-first search and topological sort to analyze prerequisite dependencies. Understand cycle detection to identify impossible schedules and apply memoization to optimize repeated computations. Gain insight into implementing graph-based algorithms for course sequencing challenges 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 ...