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Grokking the Coding Interview Patterns in Python

Solution: Parallel Courses III

Understand how to calculate the minimum time required to complete courses with prerequisites by applying topological sort on a directed acyclic graph. Learn to build dependency graphs, track in-degrees, and update course completion times efficiently to solve scheduling problems.

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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] ...