





'''simple docstring'''




from __future__ import annotations

from math import pow, sqrt






def 	_lowerCAmelCase      (  __snake_case  :			float			,							__snake_case  :			float			,							__snake_case  :			float      )					->					dict[str, float]:
     if (resistance, reactance, impedance).count(0      ) != 1:
          raise ValueError('One and only one argument must be 0'      )
     if resistance == 0:
          return {"resistance": sqrt(pow(__snake_case			,							2      ) - pow(__snake_case			,							2      )      )}
     elif reactance == 0:
          return {"reactance": sqrt(pow(__snake_case			,							2      ) - pow(__snake_case			,							2      )      )}
     elif impedance == 0:
          return {"impedance": sqrt(pow(__snake_case			,							2      ) + pow(__snake_case			,							2      )      )}
     else:
          raise ValueError('Exactly one argument must be 0'      )


if __name__ == "__main__":
  import doctest

  doctest.testmod()






'''simple docstring'''




import math






def 	_lowerCAmelCase      (  __snake_case  :			int      )					->					bool:

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5			,							int(math.sqrt(__snake_case      ) + 1      )			,							6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True






def 	_lowerCAmelCase      (  __snake_case  :			float = 0.1      )					->					int:
     __A						:			Dict								=	3
     __A						:			int								=	3

     while primes / (2 * j - 1) >= ratio:
          for i in range(j * j + j + 1			,							(j + 2) * (j + 2)			,							j + 1      ):
               primes += is_prime(__snake_case      )
          j += 2
     return j


if __name__ == "__main__":
  import doctest

  doctest.testmod()