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Grokking the Coding Interview Patterns

Solution: Parallel Courses

Explore how to solve the Parallel Courses problem by modeling course prerequisites as a directed graph. Understand the use of topological sorting and depth-first search to detect cycles and find the minimum semesters needed. This lesson guides you through implementing an efficient DFS with memoization to handle course dependencies and identify if scheduling is possible.

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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 ...