



"""simple docstring"""

def       __magic_name__    (   _lowerCamelCase				: Any  ,       _lowerCamelCase				: List[str]					):
							__a		:		List[str]									=       0
							__a		:		Tuple									=       len(_lowerCamelCase					) - 1

							while left <= right:
														# avoid divided by 0 during interpolation
														if sorted_collection[left] == sorted_collection[right]:
																					if sorted_collection[left] == item:
																												return left
																					else:
																												return None

														__a		:		str									=       left + ((item - sorted_collection[left]) * (right - left)) // (
														    sorted_collection[right] - sorted_collection[left]
														)

														# out of range check
														if point < 0 or point >= len(_lowerCamelCase					):
																					return None

														__a		:		List[Any]									=       sorted_collection[point]
														if current_item == item:
																					return point
														else:
																					if point < left:
																												__a		:		List[Any]									=       left
																												__a		:		Any									=       point
																					elif point > right:
																												__a		:		List[Any]									=       right
																												__a		:		Tuple									=       point
																					else:
																												if item < current_item:
																																			__a		:		int									=       point - 1
																												else:
																																			__a		:		str									=       point + 1
							return None





def       __magic_name__    (   _lowerCamelCase				: Union[str, Any]  ,       _lowerCamelCase				: Optional[int]  ,       _lowerCamelCase				: Optional[Any]  ,       _lowerCamelCase				: int					):

							# avoid divided by 0 during interpolation
							if sorted_collection[left] == sorted_collection[right]:
														if sorted_collection[left] == item:
																					return left
														else:
																					return None

							__a		:		List[str]									=       left + ((item - sorted_collection[left]) * (right - left)) // (
							    sorted_collection[right] - sorted_collection[left]
							)

							# out of range check
							if point < 0 or point >= len(_lowerCamelCase					):
														return None

							if sorted_collection[point] == item:
														return point
							elif point < left:
														return interpolation_search_by_recursion(_lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)
							elif point > right:
														return interpolation_search_by_recursion(_lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase					)
							else:
														if sorted_collection[point] > item:
																					return interpolation_search_by_recursion(
																					    _lowerCamelCase  ,       _lowerCamelCase  ,       _lowerCamelCase  ,       point - 1					)
														else:
																					return interpolation_search_by_recursion(
																					    _lowerCamelCase  ,       _lowerCamelCase  ,       point + 1  ,       _lowerCamelCase					)





def       __magic_name__    (   _lowerCamelCase				: Optional[Any]					):
							if collection != sorted(_lowerCamelCase					):
														raise ValueError("""Collection must be ascending sorted"""					)
							return True


if __name__ == "__main__":
	import sys
	lowercase__			   =  0
	if debug == 1:
		lowercase__			   =  [10, 30, 40, 45, 50, 66, 77, 93]
		try:
			__assert_sorted(collection)
		except ValueError:
			sys.exit("Sequence must be ascending sorted to apply interpolation search")
		lowercase__			   =  67

	lowercase__			   =  interpolation_search(collection, target)
	if result is not None:
		print(f'{target} found at positions: {result}')
	else:
		print("Not found")





"""simple docstring"""

import torch

from diffusers import DiffusionPipeline




class SCREAMING_SNAKE_CASE__					(		__snake_case      ):



						def __init__(self						,     _lowercase						,     _lowercase							):





													'''simple docstring'''

													super().__init__()

													self.register_modules(unet=_lowercase						,     scheduler=_lowercase							)





						def __call__(self							):





													'''simple docstring'''

													__a		:		Dict									=       torch.randn(
													    (1, self.unet.config.in_channels, self.unet.config.sample_size, self.unet.config.sample_size)						,     )
													__a		:		Optional[Any]									=       1

													__a		:		List[str]									=       self.unet(_lowercase						,     _lowercase							).sample
													__a		:		Union[str, Any]									=       self.scheduler.step(_lowercase						,     _lowercase						,     _lowercase							).prev_sample

													__a		:		Optional[int]									=       scheduler_output - scheduler_output + torch.ones_like(_lowercase							)

													return result

