



'''simple docstring'''




from __future__ import annotations

from random import random
from typing import Generic, TypeVar

a     :    int      						=					TypeVar("""KT""")
a     :    int      						=					TypeVar("""VT""")

class     UpperCamelCase_				(							Generic[KT, VT]    ):





	def __init__(						self	,	A = "root"	,	A = None					)    ->    int:
								UpperCAmelCase  :	Union[str, Any]							  =	key
								UpperCAmelCase  :	List[str]							  =	value
								UpperCAmelCase  :	list[Node[KT, VT]]							  =	[]





	def __repr__(						self					)    ->    str:
								return f'''Node({self.key}: {self.value})'''






	@property
	def 				_lowercase(						self					)    ->    int:
								return len(self.forward					)




class     UpperCamelCase_				(							Generic[KT, VT]    ):





	def __init__(						self	,	A = 0.5	,	A = 16					)    ->    Tuple:
								UpperCAmelCase  :	Node[KT, VT]							  =	Node[KT, VT]()
								UpperCAmelCase  :	Dict							  =	0
								UpperCAmelCase  :	List[Any]							  =	p
								UpperCAmelCase  :	Dict							  =	max_level





	def __str__(						self					)    ->    str:
								UpperCAmelCase  :	Union[str, Any]							  =	list(self					)

								if len(A					) == 0:
															return f'''SkipList(level={self.level})'''

								UpperCAmelCase  :	List[Any]							  =	max((len(str(A					)					) for item in items)	,	default=4					)
								UpperCAmelCase  :	str							  =	max(A	,	4					) + 4

								UpperCAmelCase  :	List[str]							  =	self.head
								UpperCAmelCase  :	List[str]							  =	[]

								UpperCAmelCase  :	Optional[int]							  =	node.forward.copy()
								lines.append(f'''[{node.key}]'''.ljust(A	,	"""-"""					) + """* """ * len(A					)					)
								lines.append(""" """ * label_size + """| """ * len(A					)					)

								while len(node.forward					) != 0:
															UpperCAmelCase  :	Any							  =	node.forward[0]

															lines.append(
															    f'''[{node.key}]'''.ljust(A	,	"""-"""					)
															    + """ """.join(str(n.key					) if n.key == node.key else """|""" for n in forwards					)					)
															lines.append(""" """ * label_size + """| """ * len(A					)					)
															UpperCAmelCase  :	List[str]							  =	node.forward

								lines.append("""None""".ljust(A					) + """* """ * len(A					)					)
								return f'''SkipList(level={self.level})\n''' + "\n".join(A					)





	def __iter__(						self					)    ->    List[str]:
								UpperCAmelCase  :	int							  =	self.head

								while len(node.forward					) != 0:
															yield node.forward[0].key
															UpperCAmelCase  :	Optional[int]							  =	node.forward[0]





	def 				_lowercase(						self					)    ->    int:
								UpperCAmelCase  :	List[str]							  =	1
								while random() < self.p and level < self.max_level:
															level += 1

								return level





	def 				_lowercase(						self	,	A					)    ->    tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
								UpperCAmelCase  :	Tuple							  =	[]

								UpperCAmelCase  :	Dict							  =	self.head

								for i in reversed(range(self.level					)					):
															# i < node.level - When node level is lesser than `i` decrement `i`.
															# node.forward[i].key < key - Jumping to node with key value higher
															#                             or equal to searched key would result
															#                             in skipping searched key.
															while i < node.level and node.forward[i].key < key:
																						UpperCAmelCase  :	Optional[Any]							  =	node.forward[i]
															# Each leftmost node (relative to searched node) will potentially have to
															# be updated.
															update_vector.append(A					)

								update_vector.reverse()  # Note that we were inserting values in reverse order.

								# len(node.forward) != 0 - If current node doesn't contain any further
								#                          references then searched key is not present.
								# node.forward[0].key == key - Next node key should be equal to search key
								#                              if key is present.
								if len(node.forward					) != 0 and node.forward[0].key == key:
															return node.forward[0], update_vector
								else:
															return None, update_vector





	def 				_lowercase(						self	,	A					)    ->    Dict:
								UpperCAmelCase  ,  UpperCAmelCase  :	Dict							  =	self._locate_node(A					)

								if node is not None:
															for i, update_node in enumerate(A					):
																						# Remove or replace all references to removed node.
																						if update_node.level > i and update_node.forward[i].key == key:
																													if node.level > i:
																																				UpperCAmelCase  :	Any							  =	node.forward[i]
																													else:
																																				UpperCAmelCase  :	List[Any]							  =	update_node.forward[:i]





	def 				_lowercase(						self	,	A	,	A					)    ->    List[Any]:
								UpperCAmelCase  ,  UpperCAmelCase  :	Union[str, Any]							  =	self._locate_node(A					)
								if node is not None:
															UpperCAmelCase  :	List[str]							  =	value
								else:
															UpperCAmelCase  :	Optional[Any]							  =	self.random_level()

															if level > self.level:
																						# After level increase we have to add additional nodes to head.
																						for _ in range(self.level - 1	,	A					):
																													update_vector.append(self.head					)
																						UpperCAmelCase  :	Tuple							  =	level

															UpperCAmelCase  :	Optional[Any]							  =	Node(A	,	A					)

															for i, update_node in enumerate(update_vector[:level]					):
																						# Change references to pass through new node.
																						if update_node.level > i:
																													new_node.forward.append(update_node.forward[i]					)

																						if update_node.level < i + 1:
																													update_node.forward.append(A					)
																						else:
																													UpperCAmelCase  :	Optional[Any]							  =	new_node






	def 				_lowercase(						self	,	A					)    ->    VT | None:
								UpperCAmelCase  ,  UpperCAmelCase  :	Dict							  =	self._locate_node(A					)

								if node is not None:
															return node.value

								return None




def    __lowerCamelCase						(      )   ->    List[str]:
							UpperCAmelCase  :	Any							  =	SkipList()
							skip_list.insert("""Key1"""			,       3	)
							skip_list.insert("""Key2"""			,       1_2	)
							skip_list.insert("""Key3"""			,       4_1	)
							skip_list.insert("""Key4"""			,       -1_9	)

							UpperCAmelCase  :	Optional[Any]							  =	skip_list.head
							UpperCAmelCase  :	Optional[int]							  =	{}
							while node.level != 0:
														UpperCAmelCase  :	Dict							  =	node.forward[0]
														UpperCAmelCase  :	int							  =	node.value

							assert len(_lowercase	) == 4
							assert all_values["Key1"] == 3
							assert all_values["Key2"] == 1_2
							assert all_values["Key3"] == 4_1
							assert all_values["Key4"] == -1_9



def    __lowerCamelCase						(      )   ->    Union[str, Any]:
							UpperCAmelCase  :	List[str]							  =	SkipList()
							skip_list.insert("""Key1"""			,       1_0	)
							skip_list.insert("""Key1"""			,       1_2	)

							skip_list.insert("""Key5"""			,       7	)
							skip_list.insert("""Key7"""			,       1_0	)
							skip_list.insert("""Key10"""			,       5	)

							skip_list.insert("""Key7"""			,       7	)
							skip_list.insert("""Key5"""			,       5	)
							skip_list.insert("""Key10"""			,       1_0	)

							UpperCAmelCase  :	int							  =	skip_list.head
							UpperCAmelCase  :	Any							  =	{}
							while node.level != 0:
														UpperCAmelCase  :	List[Any]							  =	node.forward[0]
														UpperCAmelCase  :	int							  =	node.value

							if len(_lowercase	) != 4:
														print()
							assert len(_lowercase	) == 4
							assert all_values["Key1"] == 1_2
							assert all_values["Key7"] == 7
							assert all_values["Key5"] == 5
							assert all_values["Key10"] == 1_0



def    __lowerCamelCase						(      )   ->    Optional[Any]:
							UpperCAmelCase  :	Any							  =	SkipList()
							assert skip_list.find("""Some key"""	) is None



def    __lowerCamelCase						(      )   ->    List[str]:
							UpperCAmelCase  :	int							  =	SkipList()

							skip_list.insert("""Key2"""			,       2_0	)
							assert skip_list.find("""Key2"""	) == 2_0

							skip_list.insert("""Some Key"""			,       1_0	)
							skip_list.insert("""Key2"""			,       8	)
							skip_list.insert("""V"""			,       1_3	)

							assert skip_list.find("""Y"""	) is None
							assert skip_list.find("""Key2"""	) == 8
							assert skip_list.find("""Some Key"""	) == 1_0
							assert skip_list.find("""V"""	) == 1_3



def    __lowerCamelCase						(      )   ->    str:
							UpperCAmelCase  :	List[Any]							  =	SkipList()
							skip_list.delete("""Some key"""	)

							assert len(skip_list.head.forward	) == 0



def    __lowerCamelCase						(      )   ->    Union[str, Any]:
							UpperCAmelCase  :	Union[str, Any]							  =	SkipList()

							skip_list.insert("""Key1"""			,       1_2	)
							skip_list.insert("""V"""			,       1_3	)
							skip_list.insert("""X"""			,       1_4	)
							skip_list.insert("""Key2"""			,       1_5	)

							skip_list.delete("""V"""	)
							skip_list.delete("""Key2"""	)

							assert skip_list.find("""V"""	) is None
							assert skip_list.find("""Key2"""	) is None



def    __lowerCamelCase						(      )   ->    str:
							UpperCAmelCase  :	Optional[Any]							  =	SkipList()

							skip_list.insert("""Key1"""			,       1_2	)
							skip_list.insert("""V"""			,       1_3	)
							skip_list.insert("""X"""			,       1_4	)
							skip_list.insert("""Key2"""			,       1_5	)

							skip_list.delete("""V"""	)
							assert skip_list.find("""V"""	) is None
							assert skip_list.find("""X"""	) == 1_4
							assert skip_list.find("""Key1"""	) == 1_2
							assert skip_list.find("""Key2"""	) == 1_5

							skip_list.delete("""X"""	)
							assert skip_list.find("""V"""	) is None
							assert skip_list.find("""X"""	) is None
							assert skip_list.find("""Key1"""	) == 1_2
							assert skip_list.find("""Key2"""	) == 1_5

							skip_list.delete("""Key1"""	)
							assert skip_list.find("""V"""	) is None
							assert skip_list.find("""X"""	) is None
							assert skip_list.find("""Key1"""	) is None
							assert skip_list.find("""Key2"""	) == 1_5

							skip_list.delete("""Key2"""	)
							assert skip_list.find("""V"""	) is None
							assert skip_list.find("""X"""	) is None
							assert skip_list.find("""Key1"""	) is None
							assert skip_list.find("""Key2"""	) is None



def    __lowerCamelCase						(      )   ->    Dict:
							UpperCAmelCase  :	Optional[int]							  =	SkipList()

							skip_list.insert("""Key1"""			,       1_2	)
							skip_list.insert("""V"""			,       1_3	)
							skip_list.insert("""X"""			,       1_4_2	)
							skip_list.insert("""Key2"""			,       1_5	)

							skip_list.delete("""X"""	)

							def traverse_keys(_lowercase	):
														yield node.key
														for forward_node in node.forward:
																					yield from traverse_keys(_lowercase	)

							assert len(set(traverse_keys(skip_list.head	)	)	) == 4



def    __lowerCamelCase						(      )   ->    List[Any]:
							def is_sorted(_lowercase	):
														return all(next_item >= item for item, next_item in zip(_lowercase			,       lst[1:]	)	)

							UpperCAmelCase  :	int							  =	SkipList()
							for i in range(1_0	):
														skip_list.insert(_lowercase			,       _lowercase	)
							assert is_sorted(list(_lowercase	)	)
							skip_list.delete(5	)
							skip_list.delete(8	)
							skip_list.delete(2	)
							assert is_sorted(list(_lowercase	)	)
							skip_list.insert(-1_2			,       -1_2	)
							skip_list.insert(7_7			,       7_7	)
							assert is_sorted(list(_lowercase	)	)



def    __lowerCamelCase						(      )   ->    List[str]:
							for _ in range(1_0_0	):
														# Repeat test 100 times due to the probabilistic nature of skip list
														# random values == random bugs
														test_insert()
														test_insert_overrides_existing_value()

														test_searching_empty_list_returns_none()
														test_search()

														test_deleting_item_from_empty_list_do_nothing()
														test_deleted_items_are_not_founded_by_find_method()
														test_delete_removes_only_given_key()
														test_delete_doesnt_leave_dead_nodes()

														test_iter_always_yields_sorted_values()



def    __lowerCamelCase						(      )   ->    List[str]:
							UpperCAmelCase  :	List[Any]							  =	SkipList()
							skip_list.insert(2			,       """2"""	)
							skip_list.insert(4			,       """4"""	)
							skip_list.insert(6			,       """4"""	)
							skip_list.insert(4			,       """5"""	)
							skip_list.insert(8			,       """4"""	)
							skip_list.insert(9			,       """4"""	)

							skip_list.delete(4	)

							print(_lowercase	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()






'''simple docstring'''




import unittest

import numpy as np
import torch

from diffusers import VersatileDiffusionImageVariationPipeline
from diffusers.utils.testing_utils import load_image, require_torch_gpu, slow, torch_device


a     :    Tuple      						=					False

class     UpperCamelCase_				(							unittest.TestCase    ):
	pass




@slow
@require_torch_gpu
class     UpperCamelCase_				(							unittest.TestCase    ):





	def 				_lowercase(						self					)    ->    Optional[Any]:
								UpperCAmelCase  :	Any							  =	VersatileDiffusionImageVariationPipeline.from_pretrained("""shi-labs/versatile-diffusion"""					)
								pipe.to(A					)
								pipe.set_progress_bar_config(disable=A					)

								UpperCAmelCase  :	List[str]							  =	load_image(
								    """https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/versatile_diffusion/benz.jpg"""					)
								UpperCAmelCase  :	List[Any]							  =	torch.manual_seed(0					)
								UpperCAmelCase  :	List[str]							  =	pipe(
								    image=A	,	generator=A	,	guidance_scale=7.5	,	num_inference_steps=50	,	output_type="""numpy"""	,	).images

								UpperCAmelCase  :	Tuple							  =	image[0, 253:256, 253:256, -1]

								assert image.shape == (1, 512, 512, 3)
								UpperCAmelCase  :	List[str]							  =	np.array([0.0_4_4_1, 0.0_4_6_9, 0.0_5_0_7, 0.0_5_7_5, 0.0_6_3_2, 0.0_6_5_0, 0.0_8_6_5, 0.0_9_0_9, 0.0_9_4_5]					)

								assert np.abs(image_slice.flatten() - expected_slice					).max() < 1e-2

