



"""simple docstring"""







from __future__ import annotations

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							float:
							A         =					0.00
							A         =					0
							for resistor in resistors:
														if resistor <= 0:
																					A         =					f"""Resistor at index {index} has a negative or zero value!"""
																					raise ValueError(lowerCamelCase__			)
														first_sum += 1 / float(lowerCamelCase__			)
														index += 1
							return 1 / first_sum

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							float:
							A         =					0.00
							A         =					0
							for resistor in resistors:
														sum_r += resistor
														if resistor < 0:
																					A         =					f"""Resistor at index {index} has a negative value!"""
																					raise ValueError(lowerCamelCase__			)
														index += 1
							return sum_r


if __name__ == "__main__":
							import doctest

							doctest.testmod()








"""simple docstring"""







def   lowerCAmelCase__			(     lowerCamelCase__			) ->							int:

							if not isinstance(lowerCamelCase__				,      lowerCamelCase__			):
														raise ValueError('multiplicative_persistence() only accepts integral values'			)
							if num < 0:
														raise ValueError('multiplicative_persistence() does not accept negative values'			)

							A         =					0
							A         =					str(lowerCamelCase__			)

							while len(lowerCamelCase__			) != 1:
														A         =					[int(lowerCamelCase__			) for i in num_string]

														A         =					1
														for i in range(0				,      len(lowerCamelCase__			)			):
																					total *= numbers[i]

														A         =					str(lowerCamelCase__			)

														steps += 1
							return steps

def   lowerCAmelCase__			(     lowerCamelCase__			) ->							int:

							if not isinstance(lowerCamelCase__				,      lowerCamelCase__			):
														raise ValueError('additive_persistence() only accepts integral values'			)
							if num < 0:
														raise ValueError('additive_persistence() does not accept negative values'			)

							A         =					0
							A         =					str(lowerCamelCase__			)

							while len(lowerCamelCase__			) != 1:
														A         =					[int(lowerCamelCase__			) for i in num_string]

														A         =					0
														for i in range(0				,      len(lowerCamelCase__			)			):
																					total += numbers[i]

														A         =					str(lowerCamelCase__			)

														steps += 1
							return steps


if __name__ == "__main__":
							import doctest

							doctest.testmod()



