






class   UpperCamelCase			:







		"""simple docstring"""



		def __init__(	self		:							Union[str, Any]		)     -> None:


						'''simple docstring'''
						# numbermap keys are the number and its values are lists of indexes sorted
						# in ascending order
						A									=   {}
						# indexmap keys are an index and it's values are the number at that index
						A									=   {}
		def    A(	self		:							Tuple    ,_SCREAMING_SNAKE_CASE		:							list | str | range    ,_SCREAMING_SNAKE_CASE		:							int		)     -> list[int]:


						'''simple docstring'''
						if isinstance(_SCREAMING_SNAKE_CASE    ,(range, str)		):
										A									=   list(_SCREAMING_SNAKE_CASE		)
						elif not isinstance(_SCREAMING_SNAKE_CASE    ,_SCREAMING_SNAKE_CASE		):
										raise TypeError(
										    'binary_search_delete() only accepts either a list, range or str'		)

						A									=   0
						A									=   len(_SCREAMING_SNAKE_CASE		) - 1

						while low <= high:
										A									=   (low + high) // 2
										if array[mid] == item:
														array.pop(_SCREAMING_SNAKE_CASE		)
														return array
										elif array[mid] < item:
														A									=   mid + 1
										else:
														A									=   mid - 1
						raise ValueError(
						    'Either the item is not in the array or the array was unsorted'		)
		def    A(	self		:							Tuple    ,_SCREAMING_SNAKE_CASE		:							list | str | range    ,_SCREAMING_SNAKE_CASE		:							int		)     -> list[int]:


						'''simple docstring'''
						if isinstance(_SCREAMING_SNAKE_CASE    ,(range, str)		):
										A									=   list(_SCREAMING_SNAKE_CASE		)
						elif not isinstance(_SCREAMING_SNAKE_CASE    ,_SCREAMING_SNAKE_CASE		):
										raise TypeError(
										    'binary_search_insert() only accepts either a list, range or str'		)

						A									=   0
						A									=   len(_SCREAMING_SNAKE_CASE		) - 1

						while low <= high:
										A									=   (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    ,_SCREAMING_SNAKE_CASE		)
														return array
										elif array[mid] < index:
														A									=   mid + 1
										else:
														A									=   mid - 1

        # If the item doesn't exist in the array, insert it at the appropriate position
						array.insert(_SCREAMING_SNAKE_CASE    ,_SCREAMING_SNAKE_CASE		)
						return array
		def    A(	self		:							Any    ,_SCREAMING_SNAKE_CASE		:							int    ,_SCREAMING_SNAKE_CASE		:							int		)     -> None:


						'''simple docstring'''
						# Remove previous index
						if index in self.indexmap:
										A									=   self.indexmap[index]
										if len(self.numbermap[n]		) == 1:
														del self.numbermap[n]
										else:
														A									=   self.binary_search_delete(self.numbermap[n]    ,_SCREAMING_SNAKE_CASE		)

        # Set new index
						A									=   number

						# Number not seen before or empty so insert number value
						if number not in self.numbermap:
										A									=   [index]

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







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


						'''simple docstring'''
						return self.numbermap.get(_SCREAMING_SNAKE_CASE    ,[-1]		)[0]


if __name__ == "__main__":
					import doctest

					doctest.testmod()













import numpy as np







def   snake_case		(				UpperCAmelCase						:							Any ):
				A									=   np.exp(UpperCAmelCase )

				# Add up the all the exponentials
				A									=   np.sum(UpperCAmelCase )

				# Divide every exponent by the sum of all exponents
				A									=   exponent_vector / sum_of_exponents

				return softmax_vector


if __name__ == "__main__":
					print(softmax((0,)))





