



'''simple docstring'''





from itertools import product
def 		_a   (  lowerCamelCase_ = 15							):
   snake_case   :							List[Any]						  =0.0
   snake_case   :							Optional[int]						  =42
   snake_case   :							int						  =42
   snake_case   :							List[Any]						  =42
   snake_case   :							Dict						  =42
   snake_case   :							str						  =42
   snake_case   :							List[Any]						  =42

   for series in product(range(2							)					,						repeat=__UpperCamelCase							):
      snake_case   :							Any						  =series.count(1							)
      snake_case   :							Tuple						  =num_turns - num_blue
      if num_red >= num_blue:
         continue
      snake_case   :							int						  =1.0
      for ind, col in enumerate(__UpperCamelCase					,						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'''





import doctest

import projectq
from projectq.ops import H, Measure
def 		_a   (  lowerCamelCase_							):
   snake_case   :							str						  =quantum_engine.allocate_qubit()
   H | qubit
   Measure | qubit
   return int(lowerCamelCase_							)


if __name__ == "__main__":
      doctest.testmod()

      # initialises a new quantum backend
      A			:   Dict			=      projectq.MainEngine()

      # Generate a list of 10 random numbers
      A			:   Dict			=      [get_random_number(quantum_engine) for _ in range(10)]

      # Flushes the quantum engine from memory
      quantum_engine.flush()

      print("""Random numbers""", random_numbers_list)





