def        lowerCAmelCase_			(					__A,  __A,  __A							)					->    int:







						'''simple docstring'''


						def count_of_possible_combinations(__A							) -> int:
												if target < 0:
																		return 0
												if target == 0:
																		return 1
												return sum(count_of_possible_combinations(target - item							) for item in array							)

						return count_of_possible_combinations(__A							)




def        lowerCAmelCase_			(					__A,  __A,  __A							)					->    int:







						'''simple docstring'''


						def count_of_possible_combinations_with_dp_array(
						    __A,  __A							) -> int:
												if target < 0:
																		return 0
												if target == 0:
																		return 1
												if dp_array[target] != -1:
																		return dp_array[target]
												UpperCAmelCase__								=  sum(
												    count_of_possible_combinations_with_dp_array(target - item,  __A							)
												    for item in array							)
												UpperCAmelCase__								=  answer
												return answer

						UpperCAmelCase__								=  [-1] * (target + 1)
						return count_of_possible_combinations_with_dp_array(__A,  __A							)




def        lowerCAmelCase_			(					__A,  __A,  __A							)					->    int:







						'''simple docstring'''


						UpperCAmelCase__								=  [0] * (target + 1)
						UpperCAmelCase__								=  1

						for i in range(1,  target + 1							):
												for j in range(__A							):
																		if i - array[j] >= 0:
																								dp_array[i] += dp_array[i - array[j]]

						return dp_array[target]


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						UpperCamelCase__    							= 3
						UpperCamelCase__    							= 5
						UpperCamelCase__    							= [1, 2, 5]
						print(combination_sum_iv(n, array, target))




from __future__ import annotations




def        lowerCAmelCase_			(					__A,  __A,  __A,  )					->    tuple:







      '''simple docstring'''


      if (electron_conc, hole_conc, intrinsic_conc).count(0							) != 1:
            raise ValueError("You cannot supply more or less than 2 values"							)
      elif electron_conc < 0:
            raise ValueError("Electron concentration cannot be negative in a semiconductor"							)
      elif hole_conc < 0:
            raise ValueError("Hole concentration cannot be negative in a semiconductor"							)
      elif intrinsic_conc < 0:
            raise ValueError(
                "Intrinsic concentration cannot be negative in a semiconductor"							)
      elif electron_conc == 0:
            return (
                "electron_conc",
                intrinsic_conc**2 / hole_conc,
            )
      elif hole_conc == 0:
            return (
                "hole_conc",
                intrinsic_conc**2 / electron_conc,
            )
      elif intrinsic_conc == 0:
            return (
                "intrinsic_conc",
                (electron_conc * hole_conc) ** 0.5,
            )
      else:
            return (-1, -1)


if __name__ == "__main__":
      import doctest

      doctest.testmod()



