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Grokking the Coding Interview Patterns

Solution: Parallel Courses III

Explore how to solve dependency-based course scheduling problems by applying topological sorting on directed acyclic graphs. Understand managing prerequisites, updating completion times, and calculating the minimum time to finish all courses through an efficient algorithmic approach.

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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] ...