






from functools import lru_cache



def    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	int    )  ->			set:

   """simple docstring"""
   __a				     =    2
   __a				     =    set()
   while i * i <= n:
      if n % i:
         i += 1
      else:
         n //= i
         factors.add(SCREAMING_SNAKE_CASE__    )
   if n > 1:
      factors.add(SCREAMING_SNAKE_CASE__    )
   return factors



@lru_cache
def    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	int    )  ->			int:

   """simple docstring"""
   return len(unique_prime_factors(SCREAMING_SNAKE_CASE__    )    )



def    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	list    )  ->			bool:

   """simple docstring"""
   return len(set(SCREAMING_SNAKE_CASE__    )    ) in (0, 1)



def    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	int    )  ->			list:

   """simple docstring"""
   __a				     =    2

   while True:
      # Increment each value of a generated range
      __a				     =    [base + i for i in range(SCREAMING_SNAKE_CASE__    )]

      # Run elements through out unique_prime_factors function
      # Append our target number to the end.
      __a				     =    [upf_len(SCREAMING_SNAKE_CASE__    ) for x in group]
      checker.append(SCREAMING_SNAKE_CASE__    )

      # If all numbers in the list are equal, return the group variable.
      if equality(SCREAMING_SNAKE_CASE__    ):
         return group

      # Increment our base variable by 1
      base += 1



def    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	int = 4    )  ->			int:

   """simple docstring"""
   __a				     =    run(SCREAMING_SNAKE_CASE__    )
   return results[0] if len(SCREAMING_SNAKE_CASE__    ) else None


if __name__ == "__main__":
 print(solution())







'''simple docstring'''



__UpperCamelCase      :       Optional[Any]      			=      [
    """DownloadConfig""",
    """DownloadManager""",
    """DownloadMode""",
    """StreamingDownloadManager""",
]

from .download_config import DownloadConfig
from .download_manager import DownloadManager, DownloadMode
from .streaming_download_manager import StreamingDownloadManager