





'''simple docstring'''







def    __UpperCamelCase	(	a    : int     ) ->list:
 snake_case				=			int(a     )
 if n_element < 1:
  snake_case				=			ValueError('''a should be a positive number'''     )
  raise my_error

 snake_case				=			[1]
 snake_case				,		snake_case				,		snake_case				=			(0, 0, 0)
 snake_case				=			1
 while index < n_element:
  while hamming_list[i] * 2 <= hamming_list[-1]:
   i += 1
  while hamming_list[j] * 3 <= hamming_list[-1]:
   j += 1
  while hamming_list[k] * 5 <= hamming_list[-1]:
   k += 1
  hamming_list.append(
      min(hamming_list[i] * 2					,   hamming_list[j] * 3					,   hamming_list[k] * 5     )     )
  index += 1
 return hamming_list


if __name__ == "__main__":
   _lowercase       						=			input('Enter the last number (nth term) of the Hamming Number Series: ')
   print('Formula of Hamming Number Series => 2^i * 3^j * 5^k')
   _lowercase       						=			hamming(int(n))
   print('-----------------------------------------------------')
   print(f'The list with nth numbers is: {hamming_numbers}')
   print('-----------------------------------------------------')








'''simple docstring'''







from ..utils import DummyObject, requires_backends
class 			_lowercase						(       metaclass=__a					):
     _UpperCAmelCase										=					['''transformers''', '''torch''', '''note_seq''']







     def __init__( self    ,   *A__    ,   **A__    ) ->	Union[str, Any]:
      requires_backends(self    ,   ['''transformers''', '''torch''', '''note_seq''']    )







     @classmethod
     def     UpperCamelCase			( cls    ,   *A__    ,   **A__    ) ->	Optional[Any]:
      requires_backends(cls    ,   ['''transformers''', '''torch''', '''note_seq''']    )







     @classmethod
     def     UpperCamelCase			( cls    ,   *A__    ,   **A__    ) ->	Any:
      requires_backends(cls    ,   ['''transformers''', '''torch''', '''note_seq''']    )

