code: 
  
  
  """simple docstring"""
  
  
  
  
  
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      _LazyModule,
      is_torch_available,
  )
  
  
  lowerCamelCase_     :     Union[str, Any]    		=						{
      """configuration_align""": [
          """ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP""",
          """AlignConfig""",
          """AlignTextConfig""",
          """AlignVisionConfig""",
      ],
      """processing_align""": ["""AlignProcessor"""],
  }
  
  try:
         if not is_torch_available():
                raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
         pass
  else:
         lowerCamelCase_     :     Optional[int]    		=						[
             """ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST""",
             """AlignModel""",
             """AlignPreTrainedModel""",
             """AlignTextModel""",
             """AlignVisionModel""",
         ]
  
  if TYPE_CHECKING:
         from .configuration_align import (
             ALIGN_PRETRAINED_CONFIG_ARCHIVE_MAP,
             AlignConfig,
             AlignTextConfig,
             AlignVisionConfig,
         )
         from .processing_align import AlignProcessor
  
         try:
                if not is_torch_available():
                       raise OptionalDependencyNotAvailable()
         except OptionalDependencyNotAvailable:
                pass
         else:
                from .modeling_align import (
                    ALIGN_PRETRAINED_MODEL_ARCHIVE_LIST,
                    AlignModel,
                    AlignPreTrainedModel,
                    AlignTextModel,
                    AlignVisionModel,
                )
  
  else:
         import sys
  
         lowerCamelCase_     :     int    		=						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
style_context: 
  
  
  """simple docstring"""
  
  
  
  
  
  
  
  from math import gcd
  def _A		(		lowercase = 1_20_00	):
  
  
  
  
  
  
  
      """simple docstring"""
      a					=0
      for d in range(max_d + 1	):
          for n in range(d // 3 + 1 ,					(d + 1) // 2	):
              if gcd(lowercase ,					lowercase	) == 1:
                  fractions_number += 1
      return fractions_number
  
  
  if __name__ == "__main__":
         print(F'{solution() = }')