'''simple docstring'''




from functools import lru_cache



def     __snake_case			(							lowerCAmelCase							:  int      ):
 __UpperCAmelCase								=       2
 __UpperCAmelCase								=       set()
 while i * i <= n:
  if n % i:
   i += 1
  else:
   n //= i
   factors.add(a_      )
 if n > 1:
  factors.add(a_      )
 return factors



@lru_cache
def     __snake_case			(							lowerCAmelCase							:  int      ):
 return len(unique_prime_factors(a_      )      )



def     __snake_case			(							lowerCAmelCase							:  list      ):
 return len(set(a_      )      ) in (0, 1)



def     __snake_case			(							lowerCAmelCase							:  int      ):
 __UpperCAmelCase								=       2

 while True:
  # Increment each value of a generated range
  __UpperCAmelCase								=       [base + i for i in range(a_      )]

  # Run elements through out unique_prime_factors function
  # Append our target number to the end.
  __UpperCAmelCase								=       [upf_len(a_      ) for x in group]
  checker.append(a_      )

  # If all numbers in the list are equal, return the group variable.
  if equality(a_      ):
   return group

  # Increment our base variable by 1
  base += 1



def     __snake_case			(							lowerCAmelCase							:  int = 4      ):
 __UpperCAmelCase								=       run(a_      )
 return results[0] if len(a_      ) else None


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











'''simple docstring'''

from __future__ import annotations

from math import pi, sqrt



def 				snake_case       (  a_				:			float     , a_				:			float						)							->					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()






