

from __future__ import annotations

import unittest
from collections.abc import Iterator



class  __snake_case					:

  def __init__(   self  ,						_A  ,						_A):
      SCREAMING_SNAKE_CASE_													=  label
      SCREAMING_SNAKE_CASE_													=  parent
      SCREAMING_SNAKE_CASE_													=  None
      SCREAMING_SNAKE_CASE_													=  None






class  __snake_case					:

  def __init__(   self):
      SCREAMING_SNAKE_CASE_													=  None

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  None

  def   lowerCAmelCase__       (   self):
      return self.root is None

  def   lowerCAmelCase__       (   self  ,						_A):
      SCREAMING_SNAKE_CASE_													=  self._put(self.root  ,						_A)

  def   lowerCAmelCase__       (   self  ,						_A  ,						_A  ,						_A = None):
      if node is None:
          SCREAMING_SNAKE_CASE_													=  Node(_A  ,						_A)
      else:
          if label < node.label:
              SCREAMING_SNAKE_CASE_													=  self._put(node.left  ,						_A  ,						_A)
          elif label > node.label:
              SCREAMING_SNAKE_CASE_													=  self._put(node.right  ,						_A  ,						_A)
          else:
              SCREAMING_SNAKE_CASE_													=  f"""Node with label {label} already exists"""
              raise Exception(_A)

      return node

  def   lowerCAmelCase__       (   self  ,						_A):
      return self._search(self.root  ,						_A)

  def   lowerCAmelCase__       (   self  ,						_A  ,						_A):
      if node is None:
          SCREAMING_SNAKE_CASE_													=  f"""Node with label {label} does not exist"""
          raise Exception(_A)
      else:
          if label < node.label:
              SCREAMING_SNAKE_CASE_													=  self._search(node.left  ,						_A)
          elif label > node.label:
              SCREAMING_SNAKE_CASE_													=  self._search(node.right  ,						_A)

      return node

  def   lowerCAmelCase__       (   self  ,						_A):
      SCREAMING_SNAKE_CASE_													=  self.search(_A)
      if node.right and node.left:
          SCREAMING_SNAKE_CASE_													=  self._get_lowest_node(node.right)
          SCREAMING_SNAKE_CASE_													=  node.left
          SCREAMING_SNAKE_CASE_													=  node.right
          SCREAMING_SNAKE_CASE_													=  lowest_node
          if node.right:
              SCREAMING_SNAKE_CASE_													=  lowest_node
          self._reassign_nodes(_A  ,						_A)
      elif not node.right and node.left:
          self._reassign_nodes(_A  ,						node.left)
      elif node.right and not node.left:
          self._reassign_nodes(_A  ,						node.right)
      else:
          self._reassign_nodes(_A  ,						_A)

  def   lowerCAmelCase__       (   self  ,						_A  ,						_A):
      if new_children:
          SCREAMING_SNAKE_CASE_													=  node.parent

      if node.parent:
          if node.parent.right == node:
              SCREAMING_SNAKE_CASE_													=  new_children
          else:
              SCREAMING_SNAKE_CASE_													=  new_children
      else:
          SCREAMING_SNAKE_CASE_													=  new_children

  def   lowerCAmelCase__       (   self  ,						_A):
      if node.left:
          SCREAMING_SNAKE_CASE_													=  self._get_lowest_node(node.left)
      else:
          SCREAMING_SNAKE_CASE_													=  node
          self._reassign_nodes(_A  ,						node.right)

      return lowest_node

  def   lowerCAmelCase__       (   self  ,						_A):
      try:
          self.search(_A)
          return True
      except Exception:
          return False

  def   lowerCAmelCase__       (   self):
      if self.root is None:
          raise Exception('Binary search tree is empty')

      SCREAMING_SNAKE_CASE_													=  self.root
      while node.right is not None:
          SCREAMING_SNAKE_CASE_													=  node.right

      return node.label

  def   lowerCAmelCase__       (   self):
      if self.root is None:
          raise Exception('Binary search tree is empty')

      SCREAMING_SNAKE_CASE_													=  self.root
      while node.left is not None:
          SCREAMING_SNAKE_CASE_													=  node.left

      return node.label

  def   lowerCAmelCase__       (   self):
      return self._inorder_traversal(self.root)

  def   lowerCAmelCase__       (   self  ,						_A):
      if node is not None:
          yield from self._inorder_traversal(node.left)
          yield node
          yield from self._inorder_traversal(node.right)

  def   lowerCAmelCase__       (   self):
      return self._preorder_traversal(self.root)


  def   lowerCAmelCase__       (   self  ,						_A):
      if node is not None:
          yield node
          yield from self._preorder_traversal(node.left)
          yield from self._preorder_traversal(node.right)






class  __snake_case					(      unittest.TestCase    ):

  @staticmethod
  def   lowerCAmelCase__       (   ):
      SCREAMING_SNAKE_CASE_													=  BinarySearchTree()
      t.put(8)
      t.put(3)
      t.put(6)
      t.put(1)
      t.put(10)
      t.put(14)
      t.put(13)
      t.put(4)
      t.put(7)
      t.put(5)

      return t

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  BinarySearchTree()
      assert t.is_empty()

      t.put(8)
      assert t.root is not None
      assert t.root.parent is None
      assert t.root.label == 8

      t.put(10)
      assert t.root.right is not None
      assert t.root.right.parent == t.root
      assert t.root.right.label == 10

      t.put(3)
      assert t.root.left is not None
      assert t.root.left.parent == t.root
      assert t.root.left.label == 3

      t.put(6)
      assert t.root.left.right is not None
      assert t.root.left.right.parent == t.root.left
      assert t.root.left.right.label == 6

      t.put(1)
      assert t.root.left.left is not None
      assert t.root.left.left.parent == t.root.left
      assert t.root.left.left.label == 1

      with self.assertRaises(_A):  # noqa: B017
          t.put(1)

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      SCREAMING_SNAKE_CASE_													=  t.search(6)
      assert node.label == 6

      SCREAMING_SNAKE_CASE_													=  t.search(13)
      assert node.label == 13

      with self.assertRaises(_A):  # noqa: B017
          t.search(2)

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      t.remove(13)
      assert t.root is not None
      assert t.root.right is not None
      assert t.root.right.right is not None
      assert t.root.right.right.right is None
      assert t.root.right.right.left is None

      t.remove(7)
      assert t.root.left is not None
      assert t.root.left.right is not None
      assert t.root.left.right.left is not None
      assert t.root.left.right.right is None
      assert t.root.left.right.left.label == 4

      t.remove(6)
      assert t.root.left.left is not None
      assert t.root.left.right.right is not None
      assert t.root.left.left.label == 1
      assert t.root.left.right.label == 4
      assert t.root.left.right.right.label == 5
      assert t.root.left.right.left is None
      assert t.root.left.left.parent == t.root.left
      assert t.root.left.right.parent == t.root.left

      t.remove(3)
      assert t.root is not None
      assert t.root.left.label == 4
      assert t.root.left.right.label == 5
      assert t.root.left.left.label == 1
      assert t.root.left.parent == t.root
      assert t.root.left.left.parent == t.root.left
      assert t.root.left.right.parent == t.root.left

      t.remove(4)
      assert t.root.left is not None
      assert t.root.left.left is not None
      assert t.root.left.label == 5
      assert t.root.left.right is None
      assert t.root.left.left.label == 1
      assert t.root.left.parent == t.root
      assert t.root.left.left.parent == t.root.left

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      t.remove(3)
      assert t.root is not None
      assert t.root.left is not None
      assert t.root.left.left is not None
      assert t.root.left.right is not None
      assert t.root.left.right.left is not None
      assert t.root.left.right.right is not None
      assert t.root.left.label == 4
      assert t.root.left.right.label == 6
      assert t.root.left.left.label == 1
      assert t.root.left.right.right.label == 7
      assert t.root.left.right.left.label == 5
      assert t.root.left.parent == t.root
      assert t.root.left.right.parent == t.root.left
      assert t.root.left.left.parent == t.root.left
      assert t.root.left.right.left.parent == t.root.left.right

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()
      t.empty()
      assert t.root is None

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()
      assert not t.is_empty()

      t.empty()
      assert t.is_empty()

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      assert t.exists(6)
      assert not t.exists(-1)

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      assert t.get_max_label() == 14

      t.empty()
      with self.assertRaises(_A):  # noqa: B017
          t.get_max_label()

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      assert t.get_min_label() == 1

      t.empty()
      with self.assertRaises(_A):  # noqa: B017
          t.get_min_label()

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      SCREAMING_SNAKE_CASE_													=  [i.label for i in t.inorder_traversal()]
      assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 10, 13, 14]


  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self._get_binary_search_tree()

      SCREAMING_SNAKE_CASE_													=  [i.label for i in t.preorder_traversal()]
      assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 10, 14, 13]






def    _UpperCAmelCase    (					):





    """simple docstring"""


    SCREAMING_SNAKE_CASE_													=  BinarySearchTree()
    t.put(8    )
    t.put(3    )
    t.put(6    )
    t.put(1    )
    t.put(10    )
    t.put(14    )
    t.put(13    )
    t.put(4    )
    t.put(7    )
    t.put(5    )

    print(
        '\n            8\n           / \\\n          3   10\n         / \\    \\\n        1   6    14\n           / \\   /\n          4   7 13\n           \\\n            5\n        '    )

    print('Label 6 exists:'	,				t.exists(6    )    )
    print('Label 13 exists:'	,				t.exists(13    )    )
    print('Label -1 exists:'	,				t.exists(-1    )    )
    print('Label 12 exists:'	,				t.exists(12    )    )

    # Prints all the elements of the list in inorder traversal
    SCREAMING_SNAKE_CASE_													=  [i.label for i in t.inorder_traversal()]
    print('Inorder traversal:'	,				_SCREAMING_SNAKE_CASE    )

    # Prints all the elements of the list in preorder traversal
    SCREAMING_SNAKE_CASE_													=  [i.label for i in t.preorder_traversal()]
    print('Preorder traversal:'	,				_SCREAMING_SNAKE_CASE    )

    print('Max. label:'	,				t.get_max_label()    )
    print('Min. label:'	,				t.get_min_label()    )

    # Delete elements
    print('\nDeleting elements 13, 10, 8, 3, 6, 14'    )
    print(
        '\n          4\n         / \\\n        1   7\n             \\\n              5\n        '    )
    t.remove(13    )
    t.remove(10    )
    t.remove(8    )
    t.remove(3    )
    t.remove(6    )
    t.remove(14    )

    # Prints all the elements of the list in inorder traversal after delete
    SCREAMING_SNAKE_CASE_													=  [i.label for i in t.inorder_traversal()]
    print('Inorder traversal after delete:'	,				_SCREAMING_SNAKE_CASE    )

    # Prints all the elements of the list in preorder traversal after delete
    SCREAMING_SNAKE_CASE_													=  [i.label for i in t.preorder_traversal()]
    print('Preorder traversal after delete:'	,				_SCREAMING_SNAKE_CASE    )

    print('Max. label:'	,				t.get_max_label()    )
    print('Min. label:'	,				t.get_min_label()    )


if __name__ == "__main__":
       binary_search_tree_example()





import torch

from diffusers import HeunDiscreteScheduler
from diffusers.utils import torch_device

from .test_schedulers import SchedulerCommonTest



class  __snake_case					(      lowerCAmelCase__    ):
  __lowerCAmelCase       :		Union[str, Any]  	=					(HeunDiscreteScheduler,)
  __lowerCAmelCase       :		Optional[int]  	=					10

  def   lowerCAmelCase__       (   self  ,						**_A):
      SCREAMING_SNAKE_CASE_													=  {
          'num_train_timesteps': 1100,
          'beta_start': 0.0_0_0_1,
          'beta_end': 0.0_2,
          'beta_schedule': 'linear',
      }

      config.update(**_A)
      return config

  def   lowerCAmelCase__       (   self):
      for timesteps in [10, 50, 100, 1000]:
          self.check_over_configs(num_train_timesteps=_A)

  def   lowerCAmelCase__       (   self):
      for beta_start, beta_end in zip([0.0_0_0_0_1, 0.0_0_0_1, 0.0_0_1]  ,						[0.0_0_0_2, 0.0_0_2, 0.0_2]):
          self.check_over_configs(beta_start=_A  ,						beta_end=_A)

  def   lowerCAmelCase__       (   self):
      for schedule in ["linear", "scaled_linear", "exp"]:
          self.check_over_configs(beta_schedule=_A)

  def   lowerCAmelCase__       (   self):
      for clip_sample_range in [1.0, 2.0, 3.0]:
          self.check_over_configs(clip_sample_range=_A  ,						clip_sample=_A)

  def   lowerCAmelCase__       (   self):
      for prediction_type in ["epsilon", "v_prediction", "sample"]:
          self.check_over_configs(prediction_type=_A)

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self.scheduler_classes[0]
      SCREAMING_SNAKE_CASE_													=  self.get_scheduler_config()
      SCREAMING_SNAKE_CASE_													=  scheduler_class(**_A)

      scheduler.set_timesteps(self.num_inference_steps)

      SCREAMING_SNAKE_CASE_													=  self.dummy_model()
      SCREAMING_SNAKE_CASE_													=  self.dummy_sample_deter * scheduler.init_noise_sigma
      SCREAMING_SNAKE_CASE_													=  sample.to(_A)

      for i, t in enumerate(scheduler.timesteps):
          SCREAMING_SNAKE_CASE_													=  scheduler.scale_model_input(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  model(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  scheduler.step(_A  ,						_A  ,						_A)
          SCREAMING_SNAKE_CASE_													=  output.prev_sample

      SCREAMING_SNAKE_CASE_													=  torch.sum(torch.abs(_A))
      SCREAMING_SNAKE_CASE_													=  torch.mean(torch.abs(_A))

      if torch_device in ["cpu", "mps"]:
          assert abs(result_sum.item() - 0.1_2_3_3) < 1E-2
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-3
      else:
          # CUDA
          assert abs(result_sum.item() - 0.1_2_3_3) < 1E-2
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-3

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self.scheduler_classes[0]
      SCREAMING_SNAKE_CASE_													=  self.get_scheduler_config(prediction_type='v_prediction')
      SCREAMING_SNAKE_CASE_													=  scheduler_class(**_A)

      scheduler.set_timesteps(self.num_inference_steps)

      SCREAMING_SNAKE_CASE_													=  self.dummy_model()
      SCREAMING_SNAKE_CASE_													=  self.dummy_sample_deter * scheduler.init_noise_sigma
      SCREAMING_SNAKE_CASE_													=  sample.to(_A)

      for i, t in enumerate(scheduler.timesteps):
          SCREAMING_SNAKE_CASE_													=  scheduler.scale_model_input(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  model(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  scheduler.step(_A  ,						_A  ,						_A)
          SCREAMING_SNAKE_CASE_													=  output.prev_sample

      SCREAMING_SNAKE_CASE_													=  torch.sum(torch.abs(_A))
      SCREAMING_SNAKE_CASE_													=  torch.mean(torch.abs(_A))

      if torch_device in ["cpu", "mps"]:
          assert abs(result_sum.item() - 4.6_934E-07) < 1E-2
          assert abs(result_mean.item() - 6.1_112E-10) < 1E-3
      else:
          # CUDA
          assert abs(result_sum.item() - 4.693_428_650_170_972E-07) < 1E-2
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-3

  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self.scheduler_classes[0]
      SCREAMING_SNAKE_CASE_													=  self.get_scheduler_config()
      SCREAMING_SNAKE_CASE_													=  scheduler_class(**_A)

      scheduler.set_timesteps(self.num_inference_steps  ,						device=_A)

      SCREAMING_SNAKE_CASE_													=  self.dummy_model()
      SCREAMING_SNAKE_CASE_													=  self.dummy_sample_deter.to(_A) * scheduler.init_noise_sigma

      for t in scheduler.timesteps:
          SCREAMING_SNAKE_CASE_													=  scheduler.scale_model_input(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  model(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  scheduler.step(_A  ,						_A  ,						_A)
          SCREAMING_SNAKE_CASE_													=  output.prev_sample

      SCREAMING_SNAKE_CASE_													=  torch.sum(torch.abs(_A))
      SCREAMING_SNAKE_CASE_													=  torch.mean(torch.abs(_A))

      if str(_A).startswith('cpu'):
          # The following sum varies between 148 and 156 on mps. Why?
          assert abs(result_sum.item() - 0.1_2_3_3) < 1E-2
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-3
      elif str(_A).startswith('mps'):
          # Larger tolerance on mps
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-2
      else:
          # CUDA
          assert abs(result_sum.item() - 0.1_2_3_3) < 1E-2
          assert abs(result_mean.item() - 0.0_0_0_2) < 1E-3


  def   lowerCAmelCase__       (   self):
      SCREAMING_SNAKE_CASE_													=  self.scheduler_classes[0]
      SCREAMING_SNAKE_CASE_													=  self.get_scheduler_config()
      SCREAMING_SNAKE_CASE_													=  scheduler_class(**_A  ,						use_karras_sigmas=_A)

      scheduler.set_timesteps(self.num_inference_steps  ,						device=_A)

      SCREAMING_SNAKE_CASE_													=  self.dummy_model()
      SCREAMING_SNAKE_CASE_													=  self.dummy_sample_deter.to(_A) * scheduler.init_noise_sigma
      SCREAMING_SNAKE_CASE_													=  sample.to(_A)

      for t in scheduler.timesteps:
          SCREAMING_SNAKE_CASE_													=  scheduler.scale_model_input(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  model(_A  ,						_A)

          SCREAMING_SNAKE_CASE_													=  scheduler.step(_A  ,						_A  ,						_A)
          SCREAMING_SNAKE_CASE_													=  output.prev_sample

      SCREAMING_SNAKE_CASE_													=  torch.sum(torch.abs(_A))
      SCREAMING_SNAKE_CASE_													=  torch.mean(torch.abs(_A))

      assert abs(result_sum.item() - 0.0_0_0_1_5) < 1E-2
      assert abs(result_mean.item() - 1.9_869_554_535_034_695E-07) < 1E-2


