




import math


def 							__SCREAMING_SNAKE_CASE						(    snake_case_		):

						'''simple docstring'''


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


def 							__SCREAMING_SNAKE_CASE						(    snake_case_		):

						'''simple docstring'''


						if n <= 0:
												raise ValueError("Only positive numbers are accepted"		)
						_UpperCAmelCase									=  1
						_UpperCAmelCase									=  1
						while n % 2 == 0:
												temp += 1
												_UpperCAmelCase									=  int(n / 2		)
						div *= temp
						for i in range(3			,					int(math.sqrt(snake_case_		)		) + 1			,					2		):
												_UpperCAmelCase									=  1
												while n % i == 0:
																		temp += 1
																		_UpperCAmelCase									=  int(n / i		)
												div *= temp
						if n > 1:
												div *= 2
						return div


def 							__SCREAMING_SNAKE_CASE						(    snake_case_		):

						'''simple docstring'''


						if n <= 0:
												raise ValueError("Only positive numbers are accepted"		)
						_UpperCAmelCase									=  1
						_UpperCAmelCase									=  1
						while n % 2 == 0:
												temp += 1
												_UpperCAmelCase									=  int(n / 2		)
						if temp > 1:
												s *= (2**temp - 1) / (2 - 1)
						for i in range(3			,					int(math.sqrt(snake_case_		)		) + 1			,					2		):
												_UpperCAmelCase									=  1
												while n % i == 0:
																		temp += 1
																		_UpperCAmelCase									=  int(n / i		)
												if temp > 1:
																		s *= (i**temp - 1) / (i - 1)
						return int(snake_case_		)


def 							__SCREAMING_SNAKE_CASE						(    snake_case_		):

						'''simple docstring'''


						_UpperCAmelCase									=  n
						for x in set(prime_factors(snake_case_		)		):
												s *= (x - 1) / x
						return int(snake_case_		)


if __name__ == "__main__":
				import doctest

				doctest.testmod()










from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


lowercase_			:       List[str]						       =				{
    'configuration_rwkv': ['RWKV_PRETRAINED_CONFIG_ARCHIVE_MAP', 'RwkvConfig', 'RwkvOnnxConfig'],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				lowercase_			:       Any						       =				[
				    'RWKV_PRETRAINED_MODEL_ARCHIVE_LIST',
				    'RwkvForCausalLM',
				    'RwkvModel',
				    'RwkvPreTrainedModel',
				]


if TYPE_CHECKING:
				from .configuration_rwkv import RWKV_PRETRAINED_CONFIG_ARCHIVE_MAP, RwkvConfig, RwkvOnnxConfig

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_rwkv import (
								    RWKV_PRETRAINED_MODEL_ARCHIVE_LIST,
								    RwkvForCausalLM,
								    RwkvModel,
								    RwkvPreTrainedModel,
								)
else:
				import sys

				lowercase_			:       Union[str, Any]						       =				_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




