code: 
  
  
  
  '''simple docstring'''
  
  
  
  import math
  
  
  
  
  
  
  
  def _lowercase   (  __A       ):
  
  
  
   '''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(__A       )       ) + 1							,2       ):
    while n % i == 0:
     pf.append(__A       )
     __UpperCamelCase				      =  int(n / i       )
   if n > 2:
    pf.append(__A       )
   return pf
  
  
  
  
  
  
  
  def _lowercase   (  __A       ):
  
  
  
   '''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(__A       )       ) + 1							,2       ):
    __UpperCamelCase				      =  1
    while n % i == 0:
     temp += 1
     __UpperCamelCase				      =  int(n / i       )
    div *= temp
   if n > 1:
    div *= 2
   return div
  
  
  
  
  
  
  
  def _lowercase   (  __A       ):
  
  
  
   '''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(__A       )       ) + 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(__A       )
  
  
  
  
  
  
  
  def _lowercase   (  __A       ):
  
  
  
   '''simple docstring'''
  
  
  
   __UpperCamelCase				      =  n
   for x in set(prime_factors(__A       )       ):
    s *= (x - 1) / x
   return int(__A       )
  
  
  if __name__ == "__main__":
   import doctest
  
   doctest.testmod()
  
  
  
  
  
  
style_context: 
  
  
  
  '''simple docstring'''
  
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      _LazyModule,
      is_torch_available,
  )
  
  
  a__						:			Optional[int]										=			{
      'configuration_bark': [
          'BARK_PRETRAINED_CONFIG_ARCHIVE_MAP',
          'BarkCoarseConfig',
          'BarkConfig',
          'BarkFineConfig',
          'BarkSemanticConfig',
      ],
      'processing_bark': ['BarkProcessor'],
  }
  
  try:
   if not is_torch_available():
    raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
   pass
  else:
   a__						:			Any										=			[
       'BARK_PRETRAINED_MODEL_ARCHIVE_LIST',
       'BarkFineModel',
       'BarkSemanticModel',
       'BarkCoarseModel',
       'BarkModel',
       'BarkPreTrainedModel',
       'BarkCausalModel',
   ]
  
  if TYPE_CHECKING:
   from .configuration_bark import (
       BARK_PRETRAINED_CONFIG_ARCHIVE_MAP,
       BarkCoarseConfig,
       BarkConfig,
       BarkFineConfig,
       BarkSemanticConfig,
   )
   from .processing_bark import BarkProcessor
  
   try:
    if not is_torch_available():
     raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
    pass
   else:
    from .modeling_bark import (
        BARK_PRETRAINED_MODEL_ARCHIVE_LIST,
        BarkCausalModel,
        BarkCoarseModel,
        BarkFineModel,
        BarkModel,
        BarkPreTrainedModel,
        BarkSemanticModel,
    )
  
  else:
   import sys
  
   a__						:			Tuple										=			_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
  
  
  
  
  
  