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Solution: Parallel Courses III

Explore how to apply topological sort on a directed acyclic graph representing course dependencies to calculate the minimum time required to complete all courses. Learn to build in-degree and adjacency lists, process courses in order, and update completion times efficiently to solve scheduling problems involving prerequisites.

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] ...