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Grokking the Coding Interview Patterns in C++

Solution: Parallel Courses III

Explore how to determine the minimum months needed to finish a series of courses with dependencies using topological sorting. Understand how to model prerequisites as a directed acyclic graph, track in-degrees, and compute earliest finish times. This lesson shows you step-by-step how to implement the solution in C++, helping you grasp dependency scheduling and graph traversal techniques critical for coding interviews.

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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] ...