




"""simple docstring"""

def 		_snake_case	(   _snake_case				:   str				)       ->   list:






      '''simple docstring'''


      _A     =  [0] * len(_snake_case				)

      for i in range(1							,    len(_snake_case				)				):
            # use last results for better performance - dynamic programming
            _A     =  prefix_result[i - 1]
            while j > 0 and input_string[i] != input_string[j]:
                  _A     =  prefix_result[j - 1]

            if input_string[i] == input_string[j]:
                  j += 1
            _A     =  j

      return prefix_result






def 		_snake_case	(   _snake_case				:   str				)       ->   int:






      '''simple docstring'''


      return max(prefix_function(_snake_case				)				)


if __name__ == "__main__":
       import doctest

       doctest.testmod()







"""simple docstring"""

import math






def 		_snake_case	(   _snake_case				:   float							,    _snake_case				:   float				)       ->   float:






      '''simple docstring'''


      if (
          not isinstance(_snake_case							,    (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 		_snake_case	(   _snake_case				:   float							,    _snake_case				:   float				)       ->   float:






      '''simple docstring'''


      if (
          not isinstance(_snake_case							,    (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()

