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Grokking the Coding Interview Patterns in C#

Solution: Parallel Courses III

Explore how to calculate the minimum time to complete multiple courses with prerequisite dependencies using a topological sort approach. Understand how to model courses as nodes in a directed acyclic graph, track prerequisites with in-degree arrays, and update completion times efficiently. This lesson helps you master scheduling problems involving dependency graphs, crucial for coding interviews and real-world applications.

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Statement  

You are tasked with determining the minimum time required to complete a set of courses, given their prerequisite relationships and individual durations.

There are n courses labeled from 1 to n. The prerequisite relationships between these courses are provided as a 2D integer array relations, where each entry relations[j]=[prevCoursej,nextCoursej]\text{relations}[j] = [\text{prevCourse}_j, \text{nextCourse}_j] ...