code: 
  from __future__ import annotations
  
  
  
  
  
  
  def 						lowerCAmelCase_		(      _snake_case   :						int     )       ->	list[int]:
  
  
  
  
  
  
  
  	'''simple docstring'''
  
  
  	__magic_name__	:	int			     =  [0] * max_one
  
  	for i in range(0   ,     _snake_case     ):
  		__magic_name__	:	Dict			     =  i
  
  	for i in range(2   ,     _snake_case     ):
  		if totients[i] == i:
  			for j in range(_snake_case   ,     _snake_case   ,     _snake_case     ):
  				totients[j] -= totients[j] // i
  
  	return totients
  
  
  
  
  
  
  def 						lowerCAmelCase_		(      _snake_case   :						int   ,     _snake_case   :						int     )       ->	bool:
  
  
  
  
  
  
  
  	'''simple docstring'''
  
  
  	return sorted(str(_snake_case     )     ) == sorted(str(_snake_case     )     )
  
  
  
  
  
  
  def 						lowerCAmelCase_		(      _snake_case   :						int = 10000000     )       ->	int:
  
  
  
  
  
  
  
  	'''simple docstring'''
  
  
  	__magic_name__	:	Dict			     =  1  # i
  	__magic_name__	:	Dict			     =  0  # φ(i)
  	__magic_name__	:	List[Any]			     =  get_totients(max_n + 1     )
  
  	for i in range(2   ,     max_n + 1     ):
  		__magic_name__	:	str			     =  totients[i]
  
  		if i * min_denominator < min_numerator * t and has_same_digits(_snake_case   ,     _snake_case     ):
  			__magic_name__	:	Tuple			     =  i
  			__magic_name__	:	List[str]			     =  t
  
  	return min_numerator
  
  
  if __name__ == "__main__":
  				print(F"{solution() = }")
  
style_context: 
  def 						lowerCAmelCase_		(      _snake_case   :						int     )       ->	int:
  
  
  
  
  
  
  
  	'''simple docstring'''
  
  
  	if not isinstance(_snake_case   ,     _snake_case     ) or number < 0:
  		raise ValueError("Input must be a non-negative integer"     )
  
  	__magic_name__	:	Dict			     =  number & ~(number - 1)
  	__magic_name__	:	Optional[Any]			     =  0
  	while intermediate:
  		intermediate >>= 1
  		index += 1
  	return index - 1
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod(verbose=True)
  