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Linked List Reverse or Cycle
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Linked List Reverse or Cycle

EasyPython

Problem

People's QA checks sometimes model workflow transitions as a linked sequence of states. Given an array representation of those transitions, determine whether the sequence starting at head eventually loops back to a previously visited state.

Each array index represents one state, and next_indices[i] gives the index of the next state. A value of -1 indicates the end of the sequence. Return True if a cycle exists and False otherwise. Solve the problem with O(1) additional space using two pointers moving at different speeds.

Formal Specification

Implement detect_cycle(next_indices, head).

  • Input: next_indices, a list of integers, and head, an integer index. Each pointer is either -1 or a valid index in next_indices.
  • Output: A boolean indicating whether the linked sequence contains a cycle.
  • The input represents a singly linked list, where each state has at most one outgoing transition.

Constraints

  • 0 <= len(next_indices) <= 10^5
  • head is -1 or a valid index in next_indices
  • Every next_indices[i] is -1 or a valid index
  • Only states reachable from head affect the result

Function Signature

def detect_cycle(next_indices, head):
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