code: from __future__ import annotations
  def 				__lowercase	(						lowerCamelCase__					)				->list[int]:
  
    '''simple docstring'''
  
  
  
  
    a__     		=     [0] * max_one
  
    for i in range(0 ,				lowerCamelCase__					):
      a__     		=     i
  
    for i in range(2 ,				lowerCamelCase__					):
      if totients[i] == i:
        for j in range(lowerCamelCase__ ,				lowerCamelCase__ ,				lowerCamelCase__					):
          totients[j] -= totients[j] // i
  
    return totients
  def 				__lowercase	(						lowerCamelCase__ ,				lowerCamelCase__					)				->bool:
  
    '''simple docstring'''
  
  
  
  
    return sorted(str(lowerCamelCase__					)					) == sorted(str(lowerCamelCase__					)					)
  def 				__lowercase	(						lowerCamelCase__ = 10_00_00_00					)				->int:
  
    '''simple docstring'''
  
  
  
  
    a__     		=     1  # i
    a__     		=     0  # φ(i)
    a__     		=     get_totients(max_n + 1					)
  
    for i in range(2 ,				max_n + 1					):
      a__     		=     totients[i]
  
      if i * min_denominator < min_numerator * t and has_same_digits(lowerCamelCase__ ,				lowerCamelCase__					):
        a__     		=     i
        a__     		=     t
  
    return min_numerator
  
  
  if __name__ == "__main__":
       print(F"""{solution() = }""")
  
  
style_context: from unittest.mock import patch
  
  import datasets
  from datasets import Dataset
  def 				__lowercase	(						)				->Union[str, Any]:
  
    '''simple docstring'''
  
  
  
  
    a__     		=     Dataset.from_dict({"col_1": [3, 2, 0, 1]}					)
  
    with patch("tqdm.auto.tqdm"					) as mock_tqdm:
      datasets.disable_progress_bar()
      dset.map(lambda lowerCamelCase__					: {"col_2": x["col_1"] + 1}					)
      mock_tqdm.assert_not_called()
  
      mock_tqdm.reset_mock()
  
      datasets.enable_progress_bar()
      dset.map(lambda lowerCamelCase__					: {"col_2": x["col_1"] + 1}					)
      mock_tqdm.assert_called()
  
  