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Grokking the Coding Interview Patterns in JavaScript

Solution: Parallel Courses

Explore how to calculate the minimum number of semesters to complete all courses given prerequisite constraints. Learn to model course dependencies as a graph and apply depth-first search with cycle detection and memoization. Understand how the longest prerequisite chain dictates the necessary semesters and how to handle impossible schedules caused by cyclic dependencies.

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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 ...