

"""simple docstring"""





import math



def        _lowerCAmelCase      (						UpperCAmelCase     :							int				):


	'''simple docstring'''






	if n <= 0:
		raise ValueError('''Only positive integers have prime factors'''				)
	UpperCamelCase__		:    int         =[]
	while n % 2 == 0:
		pf.append(2				)
		UpperCamelCase__		:    List[str]         =int(n / 2				)
	for i in range(3      ,							int(math.sqrt(UpperCAmelCase				)				) + 1      ,							2				):
		while n % i == 0:
			pf.append(UpperCAmelCase				)
			UpperCamelCase__		:    Tuple         =int(n / i				)
	if n > 2:
		pf.append(UpperCAmelCase				)
	return pf



def        _lowerCAmelCase      (						UpperCAmelCase     :							int				):


	'''simple docstring'''






	if n <= 0:
		raise ValueError('''Only positive numbers are accepted'''				)
	UpperCamelCase__		:    List[str]         =1
	UpperCamelCase__		:    Optional[Any]         =1
	while n % 2 == 0:
		temp += 1
		UpperCamelCase__		:    Optional[int]         =int(n / 2				)
	div *= temp
	for i in range(3      ,							int(math.sqrt(UpperCAmelCase				)				) + 1      ,							2				):
		UpperCamelCase__		:    Dict         =1
		while n % i == 0:
			temp += 1
			UpperCamelCase__		:    List[Any]         =int(n / i				)
		div *= temp
	if n > 1:
		div *= 2
	return div



def        _lowerCAmelCase      (						UpperCAmelCase     :							int				):


	'''simple docstring'''






	if n <= 0:
		raise ValueError('''Only positive numbers are accepted'''				)
	UpperCamelCase__		:    Union[str, Any]         =1
	UpperCamelCase__		:    Tuple         =1
	while n % 2 == 0:
		temp += 1
		UpperCamelCase__		:    str         =int(n / 2				)
	if temp > 1:
		s *= (2**temp - 1) / (2 - 1)
	for i in range(3      ,							int(math.sqrt(UpperCAmelCase				)				) + 1      ,							2				):
		UpperCamelCase__		:    Union[str, Any]         =1
		while n % i == 0:
			temp += 1
			UpperCamelCase__		:    Any         =int(n / i				)
		if temp > 1:
			s *= (i**temp - 1) / (i - 1)
	return int(UpperCAmelCase				)



def        _lowerCAmelCase      (						UpperCAmelCase     :							int				):


	'''simple docstring'''






	UpperCamelCase__		:    Union[str, Any]         =n
	for x in set(prime_factors(UpperCAmelCase				)				):
		s *= (x - 1) / x
	return int(UpperCAmelCase				)


if __name__ == "__main__":
				import doctest

				doctest.testmod()





"""simple docstring"""





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


_SCREAMING_SNAKE_CASE       :  List[Any]        = {
    """configuration_deta""": ["""DETA_PRETRAINED_CONFIG_ARCHIVE_MAP""", """DetaConfig"""],
}

try:
				if not is_vision_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				_SCREAMING_SNAKE_CASE       :  int        = ["""DetaImageProcessor"""]

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				_SCREAMING_SNAKE_CASE       :  Dict        = [
				    """DETA_PRETRAINED_MODEL_ARCHIVE_LIST""",
				    """DetaForObjectDetection""",
				    """DetaModel""",
				    """DetaPreTrainedModel""",
				]


if TYPE_CHECKING:
				from .configuration_deta import DETA_PRETRAINED_CONFIG_ARCHIVE_MAP, DetaConfig

				try:
								if not is_vision_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .image_processing_deta import DetaImageProcessor

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_deta import (
								    DETA_PRETRAINED_MODEL_ARCHIVE_LIST,
								    DetaForObjectDetection,
								    DetaModel,
								    DetaPreTrainedModel,
								)

else:
				import sys

				_SCREAMING_SNAKE_CASE       :  Optional[int]        = _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)


