

import math




def 			UpperCAmelCase__				(			_A      : float	,      _A      : float							):





  '''simple docstring'''







  if (
      not isinstance(_A	,      (int, float)							)
      or power_factor < -1
      or power_factor > 1
  ):
    raise ValueError('''power_factor must be a valid float value between -1 and 1.'''							)
  return apparent_power * power_factor




def 			UpperCAmelCase__				(			_A      : float	,      _A      : float							):





  '''simple docstring'''







  if (
      not isinstance(_A	,      (int, float)							)
      or power_factor < -1
      or power_factor > 1
  ):
    raise ValueError('''power_factor must be a valid float value between -1 and 1.'''							)
  return apparent_power * math.sqrt(1 - power_factor**2							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()



def 			UpperCAmelCase__				(			):





  '''simple docstring'''







  return [
      a * b * (10_00 - a - b)
      for a in range(1	,      9_99							)
      for b in range(_A	,      9_99							)
      if (a * a + b * b == (10_00 - a - b) ** 2)
  ][0]


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