For the input: [0,1,2,3,4]

It should result in false, since although its a cycle, there's only 1 element. But instead the "correct" answer says its supposed to be "True"

My answer for reference:

class Solution:
  def loopExists(self, arr):
    next_index = self.traverse(0, arr[0], arr)
    slow = next_index
    fast = self.traverse(0, arr[0], arr)
    fast = self.traverse(fast, arr[fast], arr)
    while slow != fast:
      slow = self.traverse(slow, arr[slow], arr)
      fast = self.traverse(fast, arr[fast], arr)
      fast = self.traverse(fast, arr[fast], arr)

    #We have now entered the main cycle. 
    #From here, we want to see if we meet again without hitting any other direction
    fast = self.traverse(fast, arr[fast], arr)
    if slow == fast: 
      return False
    if arr[slow] > 0:
      while slow != fast:
        if arr[fast] < 0: 
          return False
        fast = self.traverse(fast, arr[fast], arr)
      return True

    if arr[slow] < 0:
      while slow != fast:
        if arr[fast] > 0: 
          return False
        fast = self.traverse(fast, arr[fast], arr)
      return True

    return False

  def traverse(self, start, steps, arr):
    length = len(arr)
    totalLocation = start + steps
    if totalLocation >= 0 and totalLocation < len(arr) - 1:
      return totalLocation
    elif totalLocation > 0:
      return totalLocation % length
    elif totalLocation < 0: 
      x = -1 * (abs(totalLocation) % length)
      finLocation = len(arr) + x
      return finLocation