



"""simple docstring"""






import math

lowerCAmelCase__ :    Optional[int]      =    10
lowerCAmelCase__ :    Dict      =    7
lowerCAmelCase__ :    Union[str, Any]      =    BALLS_PER_COLOUR * NUM_COLOURS






def 	snake_case_  (				A_ :		int = 20						):


       '''simple docstring'''





       _lowerCamelCase						:    Dict         =			math.comb(A_,    A_						)
       _lowerCamelCase						:    str         =			math.comb(NUM_BALLS - BALLS_PER_COLOUR,    A_						)

       _lowerCamelCase						:    Optional[Any]         =			NUM_COLOURS * (1 - missing_colour / total)

       return F'''{result:.9f}'''


if __name__ == "__main__":
   print(solution(20))







"""simple docstring"""






from maths.prime_factors import prime_factors






def 	snake_case_  (				A_ :		int						):


       '''simple docstring'''





       if not isinstance(A_,    A_						):
              _lowerCamelCase						:    str         =			F'''Input value of [number={number}] must be an integer'''
              raise TypeError(A_						)
       if number < 1:
              raise ValueError('''Input must be a positive integer'''						)
       return -1 if len(prime_factors(A_						)						) % 2 else 1


if __name__ == "__main__":
   import doctest

   doctest.testmod()


