



'''simple docstring'''

from itertools import compress, repeat
from math import ceil, sqrt



def   __lowerCamelCase  (   lowerCAmelCase_						)    ->   list[int]:

		if num <= 2:
				return []
		if num == 3:
				return [2]

		# Odd sieve for numbers in range [3, num - 1]
		_a  :   Union[str, Any]				 =							bytearray(B'\x01'						) * ((num >> 1) - 1)

		for i in range(3		,    int(sqrt(lowerCAmelCase_						)						) + 1		,    2						):
				if sieve[(i >> 1) - 1]:
						_a  :   Optional[Any]				 =							i**2
						_a  :   int				 =							repeat(
						    0		,    ceil((num - i_squared) / (i << 1)						)						)

		return [2] + list(compress(range(3		,    lowerCAmelCase_		,    2						)		,    lowerCAmelCase_						)						)


if __name__ == "__main__":
							import doctest

							doctest.testmod()









'''simple docstring'''

from __future__ import annotations

# Define the Gravitational Constant G and the function
__lowerCAmelCase		    =     6.6743e-11  # unit of G : m^3 * kg^-1 * s^-2



def   __lowerCamelCase  (   lowerCAmelCase_		,    lowerCAmelCase_		,    lowerCAmelCase_		,    lowerCAmelCase_						)    ->   dict[str, float]:
		_a  :   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:
				_a  :   List[Any]				 =							GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
				return {"force": force}
		elif mass_a == 0:
				_a  :   Any				 =							(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
				return {"mass_1": mass_a}
		elif mass_a == 0:
				_a  :   Tuple				 =							(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
				return {"mass_2": mass_a}
		elif distance == 0:
				_a  :   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()




