



"""simple docstring"""






class 			__SCREAMING_SNAKE_CASE      :


					'''simple docstring'''





					def __init__(			self				:    List[Any]	)->   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 						snake_case			(			self				:    str,    lowerCamelCase				:    list | str | range,    lowerCamelCase				:    int	)->   list[int]:
								if isinstance(lowerCamelCase,    (range, str)	):
											lowerCamelCase__						:						Dict						      =list(lowerCamelCase	)
								elif not isinstance(lowerCamelCase,    lowerCamelCase	):
											raise TypeError(
											    '''binary_search_delete() only accepts either a list, range or str'''	)

								lowerCamelCase__						:						Tuple						      =0
								lowerCamelCase__						:						Tuple						      =len(lowerCamelCase	) - 1

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



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

								lowerCamelCase__						:						str						      =0
								lowerCamelCase__						:						List[Any]						      =len(lowerCamelCase	) - 1

								while low <= high:
											lowerCamelCase__						:						Any						      =(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,    lowerCamelCase	)
														return array
											elif array[mid] < index:
														lowerCamelCase__						:						Optional[int]						      =mid + 1
											else:
														lowerCamelCase__						:						Optional[int]						      =mid - 1

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



					def 						snake_case			(			self				:    Any,    lowerCamelCase				:    int,    lowerCamelCase				:    int	)->   None:
								# Remove previous index
								if index in self.indexmap:
											lowerCamelCase__						:						Union[str, Any]						      =self.indexmap[index]
											if len(self.numbermap[n]	) == 1:
														del self.numbermap[n]
											else:
														lowerCamelCase__						:						str						      =self.binary_search_delete(self.numbermap[n],    lowerCamelCase	)

        # Set new index
								lowerCamelCase__						:						int						      =number

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

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




					def 						snake_case			(			self				:    str,    lowerCamelCase				:    int	)->   int:
								return self.numbermap.get(lowerCamelCase,    [-1]	)[0]


if __name__ == "__main__":
		import doctest

		doctest.testmod()












from __future__ import annotations

# Define the Gravitational Constant G and the function
UpperCAmelCase_					:		Union[str, Any]           = 6.6_743E-11  # unit of G : m^3 * kg^-1 * s^-2

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    float      ,     __magic_name__   :    float      ,     __magic_name__   :    float      ,     __magic_name__   :    float   )						->     dict[str, float]:






	"""simple docstring"""



	UpperCamelCase	:List[str]		=      mass_a * mass_a

	if (force, mass_a, mass_a, distance).count(0   ) != 1:
		raise ValueError("""One and only one argument must be 0"""   )
	if force < 0:
		raise ValueError("""Gravitational force can not be negative"""   )
	if distance < 0:
		raise ValueError("""Distance can not be negative"""   )
	if mass_a < 0 or mass_a < 0:
		raise ValueError("""Mass can not be negative"""   )
	if force == 0:
		UpperCamelCase	:Optional[int]		=      GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
		return {"force": force}
	elif mass_a == 0:
		UpperCamelCase	:Any		=      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
		return {"mass_1": mass_a}
	elif mass_a == 0:
		UpperCamelCase	:Optional[int]		=      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
		return {"mass_2": mass_a}
	elif distance == 0:
		UpperCamelCase	:str		=      (GRAVITATIONAL_CONSTANT * product_of_mass / (force)) ** 0.5
		return {"distance": distance}
	raise ValueError("""One and only one argument must be 0"""   )


# Run doctest
if __name__ == "__main__":
	import doctest

	doctest.testmod()
