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Course Schedule With Cycle Detection
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Course Schedule With Cycle Detection

HardPython

Problem

Solve a course schedule scheduling problem using graph-based algorithms to detect cycles and determine the correct order of completion. Implement find_order(num_courses, prerequisites), where each prerequisite pair [course, prerequisite] means the prerequisite must be completed first. Return any valid course order, or [] if no valid order exists because the dependency graph contains a cycle. num_courses is an integer, and prerequisites is a list of integer pairs.

Constraints

  • 1 <= num_courses <= 1000
  • 0 <= prerequisites.length <= 2000
  • Each prerequisite is a pair [course, prerequisite].
  • 0 <= course, prerequisite < num_courses
  • A valid output may contain any ordering that satisfies all prerequisites.

Function Signature

def find_order(num_courses, prerequisites):
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