code: 
  
  
  from __future__ import annotations
  
  
  
  def   SCREAMING_SNAKE_CASE__						(							snake_case_	)			->							set[int]:
  				A__     :							Any   				={1}
  				A__     :							Optional[int]   				=[1]
  				for _ in range(2,	depth + 1	):
  								A__     :							str   				=[*previous_coefficients, 0]
  								A__     :							Optional[int]   				=[0, *previous_coefficients]
  								A__     :							List[Any]   				=[]
  								for x, y in zip(snake_case_,	snake_case_	):
  												coefficients.add(x + y	)
  												previous_coefficients.append(x + y	)
  				return coefficients
  
  
  
  def   SCREAMING_SNAKE_CASE__						(							snake_case_	)			->							set[int]:
  				A__     :							List[str]   				=set()
  				for number in unique_coefficients:
  								A__     :							List[str]   				=2
  								A__     :							Optional[Any]   				=number
  								while divisor**2 <= copy_number:
  												A__     :							str   				=0
  												while copy_number % divisor == 0:
  																copy_number //= divisor
  																multiplicity += 1
  												if multiplicity >= 2:
  																non_squarefrees.add(snake_case_	)
  																break
  												divisor += 1
  
  				return unique_coefficients.difference(snake_case_	)
  
  
  
  def   SCREAMING_SNAKE_CASE__						(							snake_case_ = 5_1	)			->							int:
  				A__     :							Tuple   				=get_pascal_triangle_unique_coefficients(snake_case_	)
  				A__     :							Optional[Any]   				=get_squarefrees(snake_case_	)
  				return sum(snake_case_	)
  
  
  if __name__ == "__main__":
  						print(F"{solution() = }")
  
  
  
  
style_context: 
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      _LazyModule,
      is_torch_available,
  )
  
  
  __lowerCamelCase       :       str				   =			{
      "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       :       Dict				   =			[
  						    "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       :       List[str]				   =			_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)
  
  
  
  