code: 
  
  """simple docstring"""
  from typing import List
  
  import datasets
  from datasets.tasks import ImageClassification
  
  from ..folder_based_builder import folder_based_builder
  
  
  _A						=     datasets.utils.logging.get_logger(__name__)
  
  class 			lowerCamelCase  (					folder_based_builder.FolderBasedBuilderConfig      ):
  
  
    '''simple docstring'''
  
  
  
  
  
  
  
    SCREAMING_SNAKE_CASE							=     None
    SCREAMING_SNAKE_CASE							=     None
  
  
  
  
  class 			lowerCamelCase  (					folder_based_builder.FolderBasedBuilder      ):
  
  
    '''simple docstring'''
  
  
  
  
  
  
  
    SCREAMING_SNAKE_CASE							=     datasets.Image()
    SCREAMING_SNAKE_CASE							=     'image'
    SCREAMING_SNAKE_CASE							=     ImageFolderConfig
    SCREAMING_SNAKE_CASE							=     42  # definition at the bottom of the script
    SCREAMING_SNAKE_CASE							=     ImageClassification(image_column='image'				,				label_column='label'      )
  
  
  
  
  _A						=     [
      """.blp""",
      """.bmp""",
      """.dib""",
      """.bufr""",
      """.cur""",
      """.pcx""",
      """.dcx""",
      """.dds""",
      """.ps""",
      """.eps""",
      """.fit""",
      """.fits""",
      """.fli""",
      """.flc""",
      """.ftc""",
      """.ftu""",
      """.gbr""",
      """.gif""",
      """.grib""",
      """.h5""",
      """.hdf""",
      """.png""",
      """.apng""",
      """.jp2""",
      """.j2k""",
      """.jpc""",
      """.jpf""",
      """.jpx""",
      """.j2c""",
      """.icns""",
      """.ico""",
      """.im""",
      """.iim""",
      """.tif""",
      """.tiff""",
      """.jfif""",
      """.jpe""",
      """.jpg""",
      """.jpeg""",
      """.mpg""",
      """.mpeg""",
      """.msp""",
      """.pcd""",
      """.pxr""",
      """.pbm""",
      """.pgm""",
      """.ppm""",
      """.pnm""",
      """.psd""",
      """.bw""",
      """.rgb""",
      """.rgba""",
      """.sgi""",
      """.ras""",
      """.tga""",
      """.icb""",
      """.vda""",
      """.vst""",
      """.webp""",
      """.wmf""",
      """.emf""",
      """.xbm""",
      """.xpm""",
  ]
  _A						=     IMAGE_EXTENSIONS
  
  
style_context: 
  
  """simple docstring"""
  from __future__ import annotations
  
  
  
  
  def 				a__	(	lowerCAmelCase						)  ->   set[int]:
        UpperCAmelCase__ :       List[Any]						=						{1}
        UpperCAmelCase__ :       Optional[int]						=						[1]
        for _ in range(2 ,  depth + 1						):
              UpperCAmelCase__ :       Tuple						=						[*previous_coefficients, 0]
              UpperCAmelCase__ :       List[str]						=						[0, *previous_coefficients]
              UpperCAmelCase__ :       Dict						=						[]
              for x, y in zip(lowerCAmelCase ,  lowerCAmelCase						):
                    coefficients.add(x + y						)
                    previous_coefficients.append(x + y						)
        return coefficients
  
  
  
  
  def 				a__	(	lowerCAmelCase						)  ->   set[int]:
        UpperCAmelCase__ :       List[str]						=						set()
        for number in unique_coefficients:
              UpperCAmelCase__ :       int						=						2
              UpperCAmelCase__ :       List[Any]						=						number
              while divisor**2 <= copy_number:
                    UpperCAmelCase__ :       Tuple						=						0
                    while copy_number % divisor == 0:
                          copy_number //= divisor
                          multiplicity += 1
                    if multiplicity >= 2:
                          non_squarefrees.add(lowerCAmelCase						)
                          break
                    divisor += 1
  
        return unique_coefficients.difference(lowerCAmelCase						)
  
  
  
  
  def 				a__	(	lowerCAmelCase = 51						)  ->   int:
        UpperCAmelCase__ :       Any						=						get_pascal_triangle_unique_coefficients(lowerCAmelCase						)
        UpperCAmelCase__ :       Dict						=						get_squarefrees(lowerCAmelCase						)
        return sum(lowerCAmelCase						)
  
  
  if __name__ == "__main__":
      print(f'''{solution() = }''')
  
  