
'''simple docstring'''


from typing import TypeVar

from .arrow_dataset import Dataset, _split_by_node_map_style_dataset
from .iterable_dataset import IterableDataset, _split_by_node_iterable_dataset


__SCREAMING_SNAKE_CASE						=      TypeVar("DatasetType", Dataset, IterableDataset)
def 					__magic_name__(       UpperCAmelCase__ :       DatasetType							,				UpperCAmelCase__ :       int							,				UpperCAmelCase__ :       int	):



						if isinstance(lowerCAmelCase__							,				lowerCAmelCase__	):
												return _split_by_node_map_style_dataset(lowerCAmelCase__							,				rank=lowerCAmelCase__							,				world_size=lowerCAmelCase__	)
						else:
												return _split_by_node_iterable_dataset(lowerCAmelCase__							,				rank=lowerCAmelCase__							,				world_size=lowerCAmelCase__	)








'''simple docstring'''






def 						_A					(lowerCAmelCase__	:int					,    lowerCAmelCase__	:int		) ->	int:




     '''simple docstring'''



     if a < b:
          return gcd(lowerCAmelCase__					,    lowerCAmelCase__		)
     if a % b == 0:
          return b
     return gcd(lowerCAmelCase__					,    a % b		)






def 						_A					(lowerCAmelCase__	:int					,    lowerCAmelCase__	:int					,    lowerCAmelCase__	:int		) ->	int:




     '''simple docstring'''



     if y == 0:
          return 1
     _a         =				power(lowerCAmelCase__					,    y // 2					,    lowerCAmelCase__		) % mod
     _a         =				(temp * temp) % mod
     if y % 2 == 1:
          _a         =				(temp * x) % mod
     return temp






def 						_A					(lowerCAmelCase__	:int		) ->	bool:




     '''simple docstring'''



     _a         =				2
     while b < n:
          if gcd(lowerCAmelCase__					,    lowerCAmelCase__		) == 1 and power(lowerCAmelCase__					,    n - 1					,    lowerCAmelCase__		) != 1:
               return False
          b += 1
     return True


if __name__ == "__main__":
 a_       :     Any 							=     int(input("Enter number: ").strip())
 if is_carmichael_number(number):
  print(f'''{number} is a Carmichael Number.''')
 else:
  print(f'''{number} is not a Carmichael Number.''')

