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Detect Graph Cycle
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Detect Graph Cycle

HardPython

Problem

Write a piece of code that detects a cycle in a graph.

Treat the graph as directed and represented by an adjacency-list dictionary. Return True if any directed cycle exists, including a self-loop, otherwise return False. The function must inspect disconnected components, and a neighbor absent from the dictionary should be treated as a node with no outgoing edges.

Use def has_cycle(graph):, where graph is a JSON object whose keys identify nodes and whose values are lists of neighboring node identifiers. Return a boolean.

Constraints

  • 0 <= number of listed nodes <= 10^4
  • Each node identifier is representable as a JSON string or integer
  • The total number of adjacency entries is at most 5 * 10^4
  • The graph is directed
  • A neighbor absent from the dictionary has no outgoing edges

Function Signature

def has_cycle(graph):
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