




from __future__ import annotations






def    snake_case   (				A     )				->				set[int]:




	'''simple docstring'''


	lowerCamelCase_				:						List[str]				  =				{1}
	lowerCamelCase_				:						Tuple				  =				[1]
	for _ in range(2		,  depth + 1     ):
		lowerCamelCase_				:						Optional[Any]				  =				[*previous_coefficients, 0]
		lowerCamelCase_				:						List[str]				  =				[0, *previous_coefficients]
		lowerCamelCase_				:						Dict				  =				[]
		for x, y in zip(A		,  A     ):
			coefficients.add(x + y     )
			previous_coefficients.append(x + y     )
	return coefficients






def    snake_case   (				A     )				->				set[int]:




	'''simple docstring'''


	lowerCamelCase_				:						int				  =				set()
	for number in unique_coefficients:
		lowerCamelCase_				:						List[str]				  =				2
		lowerCamelCase_				:						Any				  =				number
		while divisor**2 <= copy_number:
			lowerCamelCase_				:						int				  =				0
			while copy_number % divisor == 0:
				copy_number //= divisor
				multiplicity += 1
			if multiplicity >= 2:
				non_squarefrees.add(A     )
				break
			divisor += 1

	return unique_coefficients.difference(A     )






def    snake_case   (				A = 51     )				->				int:




	'''simple docstring'''


	lowerCamelCase_				:						Optional[Any]				  =				get_pascal_triangle_unique_coefficients(A     )
	lowerCamelCase_				:						Tuple				  =				get_squarefrees(A     )
	return sum(A     )


if __name__ == "__main__":
							print(F'{solution() = }')






def    snake_case   (				A     )				->				str:




	'''simple docstring'''


	if not isinstance(A		,  A     ):
		lowerCamelCase_				:						int				  =				(
		    'operation can not be conducted on a object of type '
		    f"{type(A     ).__name__}"
		)
		raise TypeError(A     )
	lowerCamelCase_				:						List[Any]				  =				''
	for _ in range(0		,  32     ):
		bit_string += str(number % 2     )
		lowerCamelCase_				:						int				  =				number >> 1
	return bit_string






def    snake_case   (				A     )				->				str:




	'''simple docstring'''


	if number < 0:
		raise ValueError('the value of input must be positive'     )
	elif isinstance(A		,  A     ):
		raise TypeError('Input value must be a \'int\' type'     )
	elif isinstance(A		,  A     ):
		raise TypeError('\'<\' not supported between instances of \'str\' and \'int\''     )
	lowerCamelCase_				:						Any				  =				0
	# iterator over [1 to 32],since we are dealing with 32 bit integer
	for _ in range(1		,  33     ):
		# left shift the bits by unity
		lowerCamelCase_				:						Any				  =				result << 1
		# get the end bit
		lowerCamelCase_				:						Any				  =				number % 2
		# right shift the bits by unity
		lowerCamelCase_				:						Optional[Any]				  =				number >> 1
		# add that bit to our ans
		lowerCamelCase_				:						Dict				  =				result | end_bit
	return get_reverse_bit_string(A     )


if __name__ == "__main__":
							import doctest

							doctest.testmod()
