




from __future__ import annotations






def  snake_case(    __magic_name__			)			->							Optional[int]:





     '''simple docstring'''


     lowercase :       List[str]       =			0.0_0
     lowercase :       Optional[Any]       =			0
     for resistor in resistors:
          if resistor <= 0:
               lowercase :       Any       =			F"""Resistor at index {index} has a negative or zero value!"""
               raise ValueError(__magic_name__			)
          first_sum += 1 / float(__magic_name__			)
          index += 1
     return 1 / first_sum






def  snake_case(    __magic_name__			)			->							List[str]:





     '''simple docstring'''


     lowercase :       int       =			0.0_0
     lowercase :       str       =			0
     for resistor in resistors:
          sum_r += resistor
          if resistor < 0:
               lowercase :       Optional[Any]       =			F"""Resistor at index {index} has a negative value!"""
               raise ValueError(__magic_name__			)
          index += 1
     return sum_r


if __name__ == "__main__":
 import doctest

 doctest.testmod()





def  snake_case(    __magic_name__			,		__magic_name__   )			->							bool:





     '''simple docstring'''


     lowercase :       List[Any]       =			len(__magic_name__   )
     lowercase :       str       =			[[False] * (required_sum + 1) for _ in range(arr_len + 1   )]

     # for each arr value, a sum of zero(0) can be formed by not taking any element
     # hence True/1
     for i in range(arr_len + 1   ):
          lowercase :       List[str]       =			True

     # sum is not zero and set is empty then false
     for i in range(1			,		required_sum + 1   ):
          lowercase :       str       =			False

     for i in range(1			,		arr_len + 1   ):
          for j in range(1			,		required_sum + 1   ):
               if arr[i - 1] > j:
                    lowercase :       Optional[Any]       =			subset[i - 1][j]
               if arr[i - 1] <= j:
                    lowercase :       Dict       =			subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

     return subset[arr_len][required_sum]


if __name__ == "__main__":
 import doctest

 doctest.testmod()