



"""simple docstring"""

from collections.abc import Iterable
from typing import Any
class     lowerCAmelCase__						:


	'''simple docstring'''







	def __init__(      self				:       Any     ,       _SCREAMING_SNAKE_CASE				:       int | None = None    )						->	Optional[int]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE						:							Union[str, Any]							=     value
					SCREAMING_SNAKE_CASE						:							Node | None							=     None  # Added in order to delete a node easier
					SCREAMING_SNAKE_CASE						:							Node | None							=     None
					SCREAMING_SNAKE_CASE						:							Node | None							=     None







	def __repr__(      self				:       Optional[int]    )						->	str:





					"""simple docstring"""


					from pprint import pformat

					if self.left is None and self.right is None:
									return str(self.value    )
					return pformat({f"""{self.value}""": (self.left, self.right)}     ,       indent=1    )




class     lowerCAmelCase__						:


	'''simple docstring'''







	def __init__(      self				:       List[Any]     ,       _SCREAMING_SNAKE_CASE				:       Node | None = None    )						->	Optional[int]:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE						:							List[str]							=     root





	def __str__(      self				:       Optional[int]    )						->	str:





					"""simple docstring"""


					return str(self.root    )





	def 			_lowerCAmelCase     (      self				:       Dict     ,       _SCREAMING_SNAKE_CASE				:       Node     ,       _SCREAMING_SNAKE_CASE				:       Node | None    )						->	None:





					"""simple docstring"""


					if new_children is not None:  # reset its kids
									SCREAMING_SNAKE_CASE						:							Optional[Any]							=     node.parent
					if node.parent is not None:  # reset its parent
									if self.is_right(_SCREAMING_SNAKE_CASE    ):  # If it is the right children
													SCREAMING_SNAKE_CASE						:							Dict							=     new_children
									else:
													SCREAMING_SNAKE_CASE						:							Optional[int]							=     new_children
					else:
									SCREAMING_SNAKE_CASE						:							Optional[int]							=     new_children





	def 			_lowerCAmelCase     (      self				:       Dict     ,       _SCREAMING_SNAKE_CASE				:       Node    )						->	bool:





					"""simple docstring"""


					if node.parent and node.parent.right:
									return node == node.parent.right
					return False





	def 			_lowerCAmelCase     (      self				:       Any    )						->	bool:





					"""simple docstring"""


					return self.root is None





	def 			_lowerCAmelCase     (      self				:       Dict     ,       _SCREAMING_SNAKE_CASE				:       int    )						->	None:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE						:							Tuple							=     Node(_SCREAMING_SNAKE_CASE    )  # create a new Node
					if self.empty():  # if Tree is empty
									SCREAMING_SNAKE_CASE						:							Optional[int]							=     new_node  # set its root
					else:  # Tree is not empty
									SCREAMING_SNAKE_CASE						:							Dict							=     self.root  # from root
									if parent_node is None:
													return
									while True:  # While we don't get to a leaf
													if value < parent_node.value:  # We go left
																	if parent_node.left is None:
																					SCREAMING_SNAKE_CASE						:							Union[str, Any]							=     new_node  # We insert the new node in a leaf
																					break
																	else:
																					SCREAMING_SNAKE_CASE						:							Optional[Any]							=     parent_node.left
													else:
																	if parent_node.right is None:
																					SCREAMING_SNAKE_CASE						:							Union[str, Any]							=     new_node
																					break
																	else:
																					SCREAMING_SNAKE_CASE						:							Dict							=     parent_node.right
									SCREAMING_SNAKE_CASE						:							List[Any]							=     parent_node





	def 			_lowerCAmelCase     (      self				:       Tuple     ,       *_SCREAMING_SNAKE_CASE				:       List[str]    )						->	None:





					"""simple docstring"""


					for value in values:
									self.__insert(_SCREAMING_SNAKE_CASE    )





	def 			_lowerCAmelCase     (      self				:       Dict     ,       _SCREAMING_SNAKE_CASE				:       List[Any]    )						->	Node | None:





					"""simple docstring"""


					if self.empty():
									raise IndexError('Warning: Tree is empty! please use another.'    )
					else:
									SCREAMING_SNAKE_CASE						:							Tuple							=     self.root
									# use lazy evaluation here to avoid NoneType Attribute error
									while node is not None and node.value is not value:
													SCREAMING_SNAKE_CASE						:							Optional[Any]							=     node.left if value < node.value else node.right
									return node





	def 			_lowerCAmelCase     (      self				:       Optional[int]     ,       _SCREAMING_SNAKE_CASE				:       Node | None = None    )						->	Node | None:





					"""simple docstring"""


					if node is None:
									if self.root is None:
													return None
									SCREAMING_SNAKE_CASE						:							str							=     self.root

					if not self.empty():
									while node.right is not None:
													SCREAMING_SNAKE_CASE						:							List[Any]							=     node.right
					return node





	def 			_lowerCAmelCase     (      self				:       str     ,       _SCREAMING_SNAKE_CASE				:       Node | None = None    )						->	Node | None:





					"""simple docstring"""


					if node is None:
									SCREAMING_SNAKE_CASE						:							Optional[int]							=     self.root
					if self.root is None:
									return None
					if not self.empty():
									SCREAMING_SNAKE_CASE						:							Any							=     self.root
									while node.left is not None:
													SCREAMING_SNAKE_CASE						:							str							=     node.left
					return node





	def 			_lowerCAmelCase     (      self				:       Union[str, Any]     ,       _SCREAMING_SNAKE_CASE				:       int    )						->	None:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE						:							Dict							=     self.search(_SCREAMING_SNAKE_CASE    )  # Look for the node with that label
					if node is not None:
									if node.left is None and node.right is None:  # If it has no children
													self.__reassign_nodes(_SCREAMING_SNAKE_CASE     ,       _SCREAMING_SNAKE_CASE    )
									elif node.left is None:  # Has only right children
													self.__reassign_nodes(_SCREAMING_SNAKE_CASE     ,       node.right    )
									elif node.right is None:  # Has only left children
													self.__reassign_nodes(_SCREAMING_SNAKE_CASE     ,       node.left    )
									else:
													SCREAMING_SNAKE_CASE						:							str							=     self.get_max(
													    node.left    )  # Gets the max value of the left branch
													self.remove(tmp_node.value    )  # type: ignore
													SCREAMING_SNAKE_CASE						:							List[str]							=     (
													    tmp_node.value  # type: ignore
													)  # Assigns the value to the node to delete and keep tree structure





	def 			_lowerCAmelCase     (      self				:       Union[str, Any]     ,       _SCREAMING_SNAKE_CASE				:       Node | None    )						->	Iterable:





					"""simple docstring"""


					if node is not None:
									yield node  # Preorder Traversal
									yield from self.preorder_traverse(node.left    )
									yield from self.preorder_traverse(node.right    )





	def 			_lowerCAmelCase     (      self				:       Dict     ,       _SCREAMING_SNAKE_CASE				:       int=None    )						->	Any:





					"""simple docstring"""


					if traversal_function is None:
									return self.preorder_traverse(self.root    )
					else:
									return traversal_function(self.root    )





	def 			_lowerCAmelCase     (      self				:       int     ,       _SCREAMING_SNAKE_CASE				:       list     ,       _SCREAMING_SNAKE_CASE				:       Node | None    )						->	None:





					"""simple docstring"""


					if node:
									self.inorder(_SCREAMING_SNAKE_CASE     ,       node.left    )
									arr.append(node.value    )
									self.inorder(_SCREAMING_SNAKE_CASE     ,       node.right    )







	def 			_lowerCAmelCase     (      self				:       List[Any]     ,       _SCREAMING_SNAKE_CASE				:       int     ,       _SCREAMING_SNAKE_CASE				:       Node    )						->	int:





					"""simple docstring"""


					SCREAMING_SNAKE_CASE						:							list[int]							=     []
					self.inorder(_SCREAMING_SNAKE_CASE     ,       _SCREAMING_SNAKE_CASE    )  # append all values to list using inorder traversal
					return arr[k - 1]




def  __snake_case							(	__A      :						Node | None     )     ->       list[Node]:






				'''simple docstring'''
				SCREAMING_SNAKE_CASE						:							Any							=     []
				if curr_node is not None:
								SCREAMING_SNAKE_CASE						:							str							=     postorder(curr_node.left     ) + postorder(curr_node.right     ) + [curr_node]
				return node_list
def  __snake_case							(	)     ->       None:






				'''simple docstring'''
				SCREAMING_SNAKE_CASE						:							Optional[int]							=     (8, 3, 6, 1, 10, 14, 13, 4, 7)
				SCREAMING_SNAKE_CASE						:							List[str]							=     BinarySearchTree()
				for i in testlist:
								t.insert(__A     )

				# Prints all the elements of the list in order traversal
				print(__A     )

				if t.search(6     ) is not None:
								print('The value 6 exists'     )
				else:
								print('The value 6 doesn\'t exist'     )

				if t.search(-1     ) is not None:
								print('The value -1 exists'     )
				else:
								print('The value -1 doesn\'t exist'     )

				if not t.empty():
								print('Max Value: '							,		t.get_max().value     )  # type: ignore
								print('Min Value: '							,		t.get_min().value     )  # type: ignore

				for i in testlist:
								t.remove(__A     )
								print(__A     )


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)










"""simple docstring"""

A_						:    Optional[Any]				=      '0.18.2'

from .configuration_utils import ConfigMixin
from .utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_inflect_available,
    is_invisible_watermark_available,
    is_k_diffusion_available,
    is_k_diffusion_version,
    is_librosa_available,
    is_note_seq_available,
    is_onnx_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
    is_transformers_available,
    is_transformers_version,
    is_unidecode_available,
    logging,
)


try:
							if not is_onnx_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_onnx_objects import *  # noqa F403
else:
							from .pipelines import OnnxRuntimeModel

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_pt_objects import *  # noqa F403
else:
							from .models import (
							    AutoencoderKL,
							    ControlNetModel,
							    ModelMixin,
							    PriorTransformer,
							    TaFilmDecoder,
							    TransformeraDModel,
							    UNetaDModel,
							    UNetaDConditionModel,
							    UNetaDModel,
							    UNetaDConditionModel,
							    VQModel,
							)
							from .optimization import (
							    get_constant_schedule,
							    get_constant_schedule_with_warmup,
							    get_cosine_schedule_with_warmup,
							    get_cosine_with_hard_restarts_schedule_with_warmup,
							    get_linear_schedule_with_warmup,
							    get_polynomial_decay_schedule_with_warmup,
							    get_scheduler,
							)
							from .pipelines import (
							    AudioPipelineOutput,
							    ConsistencyModelPipeline,
							    DanceDiffusionPipeline,
							    DDIMPipeline,
							    DDPMPipeline,
							    DiffusionPipeline,
							    DiTPipeline,
							    ImagePipelineOutput,
							    KarrasVePipeline,
							    LDMPipeline,
							    LDMSuperResolutionPipeline,
							    PNDMPipeline,
							    RePaintPipeline,
							    ScoreSdeVePipeline,
							)
							from .schedulers import (
							    CMStochasticIterativeScheduler,
							    DDIMInverseScheduler,
							    DDIMParallelScheduler,
							    DDIMScheduler,
							    DDPMParallelScheduler,
							    DDPMScheduler,
							    DEISMultistepScheduler,
							    DPMSolverMultistepInverseScheduler,
							    DPMSolverMultistepScheduler,
							    DPMSolverSinglestepScheduler,
							    EulerAncestralDiscreteScheduler,
							    EulerDiscreteScheduler,
							    HeunDiscreteScheduler,
							    IPNDMScheduler,
							    KarrasVeScheduler,
							    KDPMaAncestralDiscreteScheduler,
							    KDPMaDiscreteScheduler,
							    PNDMScheduler,
							    RePaintScheduler,
							    SchedulerMixin,
							    ScoreSdeVeScheduler,
							    UnCLIPScheduler,
							    UniPCMultistepScheduler,
							    VQDiffusionScheduler,
							)
							from .training_utils import EMAModel

try:
							if not (is_torch_available() and is_scipy_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
							from .schedulers import LMSDiscreteScheduler

try:
							if not (is_torch_available() and is_torchsde_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
							from .schedulers import DPMSolverSDEScheduler

try:
							if not (is_torch_available() and is_transformers_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_transformers_objects import *  # noqa F403
else:
							from .pipelines import (
							    AltDiffusionImgaImgPipeline,
							    AltDiffusionPipeline,
							    AudioLDMPipeline,
							    CycleDiffusionPipeline,
							    IFImgaImgPipeline,
							    IFImgaImgSuperResolutionPipeline,
							    IFInpaintingPipeline,
							    IFInpaintingSuperResolutionPipeline,
							    IFPipeline,
							    IFSuperResolutionPipeline,
							    ImageTextPipelineOutput,
							    KandinskyImgaImgPipeline,
							    KandinskyInpaintPipeline,
							    KandinskyPipeline,
							    KandinskyPriorPipeline,
							    KandinskyVaaControlnetImgaImgPipeline,
							    KandinskyVaaControlnetPipeline,
							    KandinskyVaaImgaImgPipeline,
							    KandinskyVaaInpaintPipeline,
							    KandinskyVaaPipeline,
							    KandinskyVaaPriorEmbaEmbPipeline,
							    KandinskyVaaPriorPipeline,
							    LDMTextToImagePipeline,
							    PaintByExamplePipeline,
							    SemanticStableDiffusionPipeline,
							    ShapEImgaImgPipeline,
							    ShapEPipeline,
							    StableDiffusionAttendAndExcitePipeline,
							    StableDiffusionControlNetImgaImgPipeline,
							    StableDiffusionControlNetInpaintPipeline,
							    StableDiffusionControlNetPipeline,
							    StableDiffusionDepthaImgPipeline,
							    StableDiffusionDiffEditPipeline,
							    StableDiffusionImageVariationPipeline,
							    StableDiffusionImgaImgPipeline,
							    StableDiffusionInpaintPipeline,
							    StableDiffusionInpaintPipelineLegacy,
							    StableDiffusionInstructPixaPixPipeline,
							    StableDiffusionLatentUpscalePipeline,
							    StableDiffusionLDMaDPipeline,
							    StableDiffusionModelEditingPipeline,
							    StableDiffusionPanoramaPipeline,
							    StableDiffusionParadigmsPipeline,
							    StableDiffusionPipeline,
							    StableDiffusionPipelineSafe,
							    StableDiffusionPixaPixZeroPipeline,
							    StableDiffusionSAGPipeline,
							    StableDiffusionUpscalePipeline,
							    StableUnCLIPImgaImgPipeline,
							    StableUnCLIPPipeline,
							    TextToVideoSDPipeline,
							    TextToVideoZeroPipeline,
							    UnCLIPImageVariationPipeline,
							    UnCLIPPipeline,
							    UniDiffuserModel,
							    UniDiffuserPipeline,
							    UniDiffuserTextDecoder,
							    VersatileDiffusionDualGuidedPipeline,
							    VersatileDiffusionImageVariationPipeline,
							    VersatileDiffusionPipeline,
							    VersatileDiffusionTextToImagePipeline,
							    VideoToVideoSDPipeline,
							    VQDiffusionPipeline,
							)

try:
							if not (is_torch_available() and is_transformers_available() and is_invisible_watermark_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_transformers_and_invisible_watermark_objects import *  # noqa F403
else:
							from .pipelines import StableDiffusionXLImgaImgPipeline, StableDiffusionXLPipeline

try:
							if not (is_torch_available() and is_transformers_available() and is_k_diffusion_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_transformers_and_k_diffusion_objects import *  # noqa F403
else:
							from .pipelines import StableDiffusionKDiffusionPipeline

try:
							if not (is_torch_available() and is_transformers_available() and is_onnx_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_transformers_and_onnx_objects import *  # noqa F403
else:
							from .pipelines import (
							    OnnxStableDiffusionImgaImgPipeline,
							    OnnxStableDiffusionInpaintPipeline,
							    OnnxStableDiffusionInpaintPipelineLegacy,
							    OnnxStableDiffusionPipeline,
							    OnnxStableDiffusionUpscalePipeline,
							    StableDiffusionOnnxPipeline,
							)

try:
							if not (is_torch_available() and is_librosa_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_torch_and_librosa_objects import *  # noqa F403
else:
							from .pipelines import AudioDiffusionPipeline, Mel

try:
							if not (is_transformers_available() and is_torch_available() and is_note_seq_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_transformers_and_torch_and_note_seq_objects import *  # noqa F403
else:
							from .pipelines import SpectrogramDiffusionPipeline

try:
							if not is_flax_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_flax_objects import *  # noqa F403
else:
							from .models.controlnet_flax import FlaxControlNetModel
							from .models.modeling_flax_utils import FlaxModelMixin
							from .models.unet_ad_condition_flax import FlaxUNetaDConditionModel
							from .models.vae_flax import FlaxAutoencoderKL
							from .pipelines import FlaxDiffusionPipeline
							from .schedulers import (
							    FlaxDDIMScheduler,
							    FlaxDDPMScheduler,
							    FlaxDPMSolverMultistepScheduler,
							    FlaxKarrasVeScheduler,
							    FlaxLMSDiscreteScheduler,
							    FlaxPNDMScheduler,
							    FlaxSchedulerMixin,
							    FlaxScoreSdeVeScheduler,
							)


try:
							if not (is_flax_available() and is_transformers_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_flax_and_transformers_objects import *  # noqa F403
else:
							from .pipelines import (
							    FlaxStableDiffusionControlNetPipeline,
							    FlaxStableDiffusionImgaImgPipeline,
							    FlaxStableDiffusionInpaintPipeline,
							    FlaxStableDiffusionPipeline,
							)

try:
							if not (is_note_seq_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from .utils.dummy_note_seq_objects import *  # noqa F403
else:
							from .pipelines import MidiProcessor





