
'''simple docstring'''


def lowercase_	(   _lowercase = 1_000_000				)     ->							int:
     '''simple docstring'''

     lowerCamelCase_					:      Optional[Any]     =		set(range(3			,       __A			,       2				)				)
     primes.add(2				)
     for p in range(3			,       __A			,       2				):
          if p not in primes:
               continue
          primes.difference_update(set(range(p * p			,       __A			,       __A				)				)				)

     lowerCamelCase_					:      int     =		[float(__A				) for n in range(limit + 1				)]

     for p in primes:
          for n in range(__A			,       limit + 1			,       __A				):
               phi[n] *= 1 - 1 / p

     return int(sum(phi[2:]				)				)


if __name__ == "__main__":
     print(f'{solution() = }')




'''simple docstring'''


from __future__ import annotations

from math import pi, sqrt




def lowercase_	(   _lowercase			,       _lowercase				)     ->							tuple:
					'''simple docstring'''

					if inductance <= 0:
										raise ValueError('''Inductance cannot be 0 or negative'''				)

					elif capacitance <= 0:
										raise ValueError('''Capacitance cannot be 0 or negative'''				)

					else:
										return (
										    "Resonant frequency",
										    float(1 / (2 * pi * (sqrt(inductance * capacitance				)))				),
										)


if __name__ == "__main__":
					import doctest

					doctest.testmod()


