


def 	_lowerCamelCase  (		A_  :	Union[str, Any]							,  A_  :	Optional[int]      )			->			Dict:

   '''simple docstring'''






   if len(str(A_      )      ) == 1 or len(str(A_      )      ) == 1:
      return a * b

   UpperCamelCase__ :			Any 						=max(len(str(A_      )      )							,  len(str(A_      )      )      )
   UpperCamelCase__ :			Optional[int] 						=ma // 2

   UpperCamelCase__						,	UpperCamelCase__ :			Dict 						=divmod(A_							,  1_0**ma      )
   UpperCamelCase__						,	UpperCamelCase__ :			Union[str, Any] 						=divmod(A_							,  1_0**ma      )

   UpperCamelCase__ :			List[Any] 						=karatsuba(A_							,  A_      )
   UpperCamelCase__ :			Dict 						=karatsuba((aa + aa)							,  (ba + ba)      )
   UpperCamelCase__ :			Optional[int] 						=karatsuba(A_							,  A_      )

   return (z * 1_0 ** (2 * ma)) + ((y - z - x) * 1_0 ** (ma)) + (x)
def 	_lowerCamelCase  (		)			->			Any:

   '''simple docstring'''






   print(karatsuba(1_5_4_6_3							,  2_3_4_8_9      )      )


if __name__ == "__main__":
     main()





def 	_lowerCamelCase  (		A_  :	float							,  A_  :	float							,  A_  :	int      )			->			float:

   '''simple docstring'''






   UpperCamelCase__ :			Union[str, Any] 						=[1 / first_term]
   UpperCamelCase__ :			Tuple 						=1 / first_term
   for _ in range(number_of_terms - 1      ):
      first_term += common_difference
      arithmetic_progression.append(A_      )
   UpperCamelCase__ :			List[str] 						=[1 / step for step in arithmetic_progression]
   return sum(A_      )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(sum_of_harmonic_progression(1 / 2, 2, 2))

