




from __future__ import annotations

from math import pi







def 	_a      (						SCREAMING_SNAKE_CASE_							:				float      ,      SCREAMING_SNAKE_CASE_							:				float      ,      SCREAMING_SNAKE_CASE_							:				float     ):

					if (inductance, frequency, reactance).count(0     ) != 1:
										raise ValueError("One and only one argument must be 0"     )
					if inductance < 0:
										raise ValueError("Inductance cannot be negative"     )
					if frequency < 0:
										raise ValueError("Frequency cannot be negative"     )
					if reactance < 0:
										raise ValueError("Inductive reactance cannot be negative"     )
					if inductance == 0:
										return {"inductance": reactance / (2 * pi * frequency)}
					elif frequency == 0:
										return {"frequency": reactance / (2 * pi * inductance)}
					elif reactance == 0:
										return {"reactance": 2 * pi * frequency * inductance}
					else:
										raise ValueError("Exactly one argument must be 0"     )


if __name__ == "__main__":
					import doctest

					doctest.testmod()










def 	_a      (						SCREAMING_SNAKE_CASE_							:				int = 1_00_00_00     ):
					__lowerCAmelCase				   =       [i - 1 for i in range(limit + 1     )]

					for i in range(2      ,      limit + 1     ):
										if phi[i] == i - 1:
															for j in range(2 * i      ,      limit + 1      ,      SCREAMING_SNAKE_CASE_     ):
																				phi[j] -= phi[j] // i

					return sum(phi[2 : limit + 1]     )


if __name__ == "__main__":
					print(solution())




