Solution: Course Schedule

Understand how to determine if all courses can be completed by using topological sorting and depth-first search to manage prerequisites and detect circular dependencies. This lesson explains how to implement these graph algorithms and analyze their time and space complexities.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity
Alternative solution

Statement

You are given an integer, numCourses, representing the total number of courses you need to complete, labeled from 0 to numCourses - 1.

You are also given a prerequisites array, where prerequisites[i] = [a[i], b[i]] indicates that you must take course b[i] first if you want to take the course a[i]. For example, the pair $[1, 0]$ indicates that to take course $1$ , you have to first take course $0$ .

Return TRUE if all of the courses can be finished. Otherwise, return FALSE.

Constraints:

$1 \leq$

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