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Cycle Detection in Dependencies
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Cycle Detection in Dependencies

HardPython

Problem

Write a program to detect cycles in a directed graph, representing dependencies in a vehicle state machine.

Implement has_cycle(graph), where graph is a dictionary mapping each state to a list of states it can transition to. Return True if any directed cycle exists, otherwise return False. The graph may contain disconnected components, and every referenced state is present as a key.

Constraints

  • 0 <= number of states <= 1000
  • Each state name is unique and hashable
  • Every referenced neighbor appears as a key in graph
  • The graph may contain disconnected components

Function Signature

def has_cycle(graph):
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