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Solution: Parallel Courses

Explore how to solve course scheduling challenges by applying topological sort and DFS to uncover the longest dependency chain of prerequisites. Understand cycle detection to identify impossible schedules and use memoization to optimize traversal. This lesson guides you in calculating the minimum semesters needed to complete courses while handling complex dependency graphs 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 ...