'''simple docstring'''





from __future__ import annotations

from math import pi, sqrt





def 	lowerCAmelCase_				(					snake_case_       : float					,    snake_case_       : 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()





'''simple docstring'''





def 	lowerCAmelCase_				(					snake_case_       : int					,    snake_case_       : int			)    ->      str:


     '''simple docstring'''




     if a < 0 or b < 0:
          raise ValueError("the value of both inputs must be positive"			)
     UpperCAmelCase_           =   str(bin(snake_case_			)			)[2:]  # remove the leading "0b"
     UpperCAmelCase_           =   str(bin(snake_case_			)			)[2:]
     UpperCAmelCase_           =   max(len(snake_case_			)					,    len(snake_case_			)			)
     return "0b" + "".join(
         str(int("1" in (char_a, char_b)			)			)
         for char_a, char_b in zip(a_binary.zfill(snake_case_			)					,    b_binary.zfill(snake_case_			)			)			)


if __name__ == "__main__":
    import doctest

    doctest.testmod()




