
"""simple docstring"""
from itertools import product
def 					a__ ( a :					int = 15		):

  """simple docstring"""







  _snake_case  :    float            = 0.0
  _snake_case  :    float
  _snake_case  :    int
  _snake_case  :    int
  _snake_case  :    int
  _snake_case  :    int
  _snake_case  :    tuple[int, ...]

  for series in product(range(2		)							,  repeat=a		):
    _snake_case  :    Optional[Any]            = series.count(1		)
    _snake_case  :    Tuple            = num_turns - num_blue
    if num_red >= num_blue:
      continue
    _snake_case  :    Dict            = 1.0
    for ind, col in enumerate(a							,  2		):
      if col == 0:
        prob *= (ind - 1) / ind
      else:
        prob *= 1 / ind

    total_prob += prob

  return int(1 / total_prob		)


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





"""simple docstring"""







def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 9 / 5) + 32						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(float(_UpperCamelCase			) + 273.15						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 9 / 5) + 491.67						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) - 32) * 5 / 9						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(((float(_UpperCamelCase			) - 32) * 5 / 9) + 273.15						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(float(_UpperCamelCase			) + 459.67						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(float(_UpperCamelCase			) - 273.15						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(((float(_UpperCamelCase			) - 273.15) * 9 / 5) + 32						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 9 / 5)						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) - 491.67) * 5 / 9						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round(float(_UpperCamelCase			) - 459.67						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 5 / 9)						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 1.25 + 273.15)						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 2.25 + 32)						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 1.25)						,      _UpperCamelCase			)






def        a__			(							_UpperCamelCase						,      _UpperCamelCase = 2			):





						"""simple docstring"""

						return round((float(_UpperCamelCase			) * 2.25 + 32 + 459.67)						,      _UpperCamelCase			)


if __name__ == "__main__":
						import doctest

						doctest.testmod()