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Grokking the Coding Interview Patterns in JavaScript

Solution: Parallel Courses III

Explore how to determine the shortest time needed to complete multiple courses given their prerequisites and durations. Understand topological sorting in a directed acyclic graph to manage dependencies, track course completion time, and handle multiple courses simultaneously. This lesson guides you through building dependency graphs, managing in-degree arrays, and applying queue-based topological processing to find the minimum months required.

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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] ...