
from itertools import product




def 						A_			(				snake_case				: int = 15			)   ->     int:



						'''simple docstring'''

						__UpperCamelCase  	=      0.0
						__UpperCamelCase  	=      42
						__UpperCamelCase  	=      42
						__UpperCamelCase  	=      42
						__UpperCamelCase  	=      42
						__UpperCamelCase  	=      42
						__UpperCamelCase  	=      42

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




from __future__ import annotations


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      lowercase	:   Optional[Any]											= [0] * max_one

      for i in range(0						,   _UpperCAmelCase					):
            lowercase	:   List[Any]											= i

      for i in range(2						,   _UpperCAmelCase					):
            if totients[i] == i:
                  for j in range(_UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase					):
                        totients[j] -= totients[j] // i

      return totients


def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase					)  ->      bool:






      '''simple docstring'''


      return sorted(str(_UpperCAmelCase					)					) == sorted(str(_UpperCAmelCase					)					)


def 	lowercase__  (      _UpperCAmelCase = 10_00_00_00					)  ->      int:






      '''simple docstring'''


      lowercase	:   Union[str, Any]											= 1  # i
      lowercase	:   Any											= 0  # φ(i)
      lowercase	:   int											= get_totients(max_n + 1					)

      for i in range(2						,   max_n + 1					):
            lowercase	:   Any											= totients[i]

            if i * min_denominator < min_numerator * t and has_same_digits(_UpperCAmelCase						,   _UpperCAmelCase					):
                  lowercase	:   List[Any]											= i
                  lowercase	:   Optional[Any]											= t

      return min_numerator


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