Parallel Courses III

Explore how to calculate the minimum months required to complete a set of courses with prerequisite constraints. Understand how to apply topological sort to manage course dependencies and optimize completion time when multiple courses can be taken concurrently.

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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 $\text{relations}[j] = [\text{prevCourse}_j, \text{nextCourse}_j]$ indicates that course $\text{prevCourse}_j$ must be completed before course ${nextCourse}_{j}$ ...