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Grokking the Coding Interview Patterns in C++

Solution: Parallel Courses III

Explore how to determine the shortest time to complete all courses given their prerequisite relationships and durations. Learn to model course dependencies as a directed acyclic graph and apply topological sorting to identify the earliest finish times. This lesson guides you through constructing the graph, managing in-degrees, and calculating minimum completion times, ensuring a clear understanding of dependency scheduling in 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] ...