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Course Schedule (Topological Sort)Step-by-Step Visualization

Detecting cycles in a directed graph is essential for scheduling and dependency resolution.

Problem Statement

There are a total of numCourses courses you have to take. Some courses have prerequisites. Return true if you can finish all courses.

Approach

Model as a directed graph. Detect cycle using DFS (recursion stack check) or Kahn's Algorithm (BFS with in-degrees). If a cycle exists, it's impossible.

Time & Space Complexity

Time complexity is O(V + E). Space complexity is O(V + E).

Interactive Visualization

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