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Grokking the Coding Interview Patterns in Python

Solution: Parallel Courses

Explore how to solve the problem of scheduling courses with prerequisites by using depth-first search and topological sort. Understand how to detect circular dependencies and calculate the minimum number of semesters required. Learn to implement an efficient algorithm that uses memoization and cycle detection to manage complex course dependency graphs.

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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 ...