
"""simple docstring"""

class        _lowercase   :




	def __init__( self					)		->							None:
			# numbermap keys are the number and its values are lists of indexes sorted
			# in ascending order
			lowerCamelCase     :			dict[int, list[int]]		=    {}
			# indexmap keys are an index and it's values are the number at that index
			lowerCamelCase     :			dict[int, int]		=    {}




	def 			_UpperCamelCase    ( self		, UpperCAmelCase_		, UpperCAmelCase_					)		->							list[int]:
			if isinstance(UpperCAmelCase_		, (range, str)					):
					lowerCamelCase     :			Optional[Any]		=    list(UpperCAmelCase_					)
			elif not isinstance(UpperCAmelCase_		, UpperCAmelCase_					):
					raise TypeError(
					    'binary_search_delete() only accepts either a list, range or str'					)

			lowerCamelCase     :			Optional[int]		=    0
			lowerCamelCase     :			List[str]		=    len(UpperCAmelCase_					) - 1

			while low <= high:
					lowerCamelCase     :			Union[str, Any]		=    (low + high) // 2
					if array[mid] == item:
							array.pop(UpperCAmelCase_					)
							return array
					elif array[mid] < item:
							lowerCamelCase     :			Tuple		=    mid + 1
					else:
							lowerCamelCase     :			Tuple		=    mid - 1
			raise ValueError(
			    'Either the item is not in the array or the array was unsorted'					)




	def 			_UpperCamelCase    ( self		, UpperCAmelCase_		, UpperCAmelCase_					)		->							list[int]:
			if isinstance(UpperCAmelCase_		, (range, str)					):
					lowerCamelCase     :			Optional[int]		=    list(UpperCAmelCase_					)
			elif not isinstance(UpperCAmelCase_		, UpperCAmelCase_					):
					raise TypeError(
					    'binary_search_insert() only accepts either a list, range or str'					)

			lowerCamelCase     :			List[Any]		=    0
			lowerCamelCase     :			Optional[Any]		=    len(UpperCAmelCase_					) - 1

			while low <= high:
					lowerCamelCase     :			Optional[int]		=    (low + high) // 2
					if array[mid] == index:
							# If the item already exists in the array,
							# insert it after the existing item
							array.insert(mid + 1		, UpperCAmelCase_					)
							return array
					elif array[mid] < index:
							lowerCamelCase     :			Optional[Any]		=    mid + 1
					else:
							lowerCamelCase     :			List[str]		=    mid - 1

        # If the item doesn't exist in the array, insert it at the appropriate position
			array.insert(UpperCAmelCase_		, UpperCAmelCase_					)
			return array




	def 			_UpperCamelCase    ( self		, UpperCAmelCase_		, UpperCAmelCase_					)		->							None:
			# Remove previous index
			if index in self.indexmap:
					lowerCamelCase     :			Any		=    self.indexmap[index]
					if len(self.numbermap[n]					) == 1:
							del self.numbermap[n]
					else:
							lowerCamelCase     :			List[Any]		=    self.binary_search_delete(self.numbermap[n]		, UpperCAmelCase_					)

        # Set new index
			lowerCamelCase     :			Any		=    number

			# Number not seen before or empty so insert number value
			if number not in self.numbermap:
					lowerCamelCase     :			Union[str, Any]		=    [index]

			# Here we need to perform a binary search insertion in order to insert
			# The item in the correct place
			else:
					lowerCamelCase     :			Union[str, Any]		=    self.binary_search_insert(
					    self.numbermap[number]		, UpperCAmelCase_					)




	def 			_UpperCamelCase    ( self		, UpperCAmelCase_					)		->							int:
			return self.numbermap.get(UpperCAmelCase_		, [-1]					)[0]


if __name__ == "__main__":
					import doctest

					doctest.testmod()













'''simple docstring'''







import torch
from torch import autograd





class     _UpperCAmelCase							(						autograd.Function   ):
		@staticmethod
		def   lowerCamelCase__			(  __SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				inputs.numel()
					__lowerCAmelCase											=				int(0.005 * nb_elems			) + 1
					if sigmoid:
								__lowerCAmelCase											=				(torch.sigmoid(__SCREAMING_SNAKE_CASE			) > threshold).type(inputs.type()			)
					else:
								__lowerCAmelCase											=				(inputs > threshold).type(inputs.type()			)
					if mask.sum() < nb_min:
								# We limit the pruning so that at least 0.5% (half a percent) of the weights are remaining
								__lowerCAmelCase											=				inputs.flatten().kthvalue(max(nb_elems - nb_min,1			)			).values
								__lowerCAmelCase											=				(inputs > k_threshold).type(inputs.type()			)
					return mask







		@staticmethod
		def   lowerCamelCase__			(  __SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					return gradOutput, None, None





class     _UpperCAmelCase							(						autograd.Function   ):
		@staticmethod
		def   lowerCamelCase__			(  __SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				inputs.clone()
					__lowerCAmelCase						,       __lowerCAmelCase											=				inputs.flatten().sort(descending=__SCREAMING_SNAKE_CASE			)
					__lowerCAmelCase											=				int(threshold * inputs.numel()			)

					# flat_out and mask access the same memory.
					__lowerCAmelCase											=				mask.flatten()
					__lowerCAmelCase											=				0
					__lowerCAmelCase											=				1
					return mask







		@staticmethod
		def   lowerCamelCase__			(  __SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					return gradOutput, None





class     _UpperCAmelCase							(						lowerCAmelCase_   ):
		@staticmethod
		def   lowerCamelCase__			(  __SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				inputs.clone()
					__lowerCAmelCase						,       __lowerCAmelCase											=				inputs.abs().flatten().sort(descending=__SCREAMING_SNAKE_CASE			)
					__lowerCAmelCase											=				int(threshold * inputs.numel()			)

					# flat_out and mask access the same memory.
					__lowerCAmelCase											=				mask.flatten()
					__lowerCAmelCase											=				0
					__lowerCAmelCase											=				1
					return mask

