from __future__ import annotations

def 	lowercase_       (    _lowerCamelCase							: List[Any]):
    lowercase__				:     Any					      =       {1}
    lowercase__				:     Optional[int]					      =       [1]
    for _ in range(2	,			depth + 1):
        lowercase__				:     str					      =       [*previous_coefficients, 0]
        lowercase__				:     Optional[int]					      =       [0, *previous_coefficients]
        lowercase__				:     List[Any]					      =       []
        for x, y in zip(snake_case_	,			snake_case_):
            coefficients.add(x + y)
            previous_coefficients.append(x + y)
    return coefficients

def 	lowercase_       (    _lowerCamelCase							: str):
    lowercase__				:     List[str]					      =       set()
    for number in unique_coefficients:
        lowercase__				:     List[str]					      =       2
        lowercase__				:     Optional[Any]					      =       number
        while divisor**2 <= copy_number:
            lowercase__				:     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 	lowercase_       (    _lowerCamelCase							: List[str] = 51):
    lowercase__				:     Tuple					      =       get_pascal_triangle_unique_coefficients(snake_case_)
    lowercase__				:     Optional[Any]					      =       get_squarefrees(snake_case_)
    return sum(snake_case_)


if __name__ == "__main__":
      print(f"{solution() = }")




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


UpperCamelCase													=		{
    '''configuration_flava''': [
        '''FLAVA_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''FlavaConfig''',
        '''FlavaImageCodebookConfig''',
        '''FlavaImageConfig''',
        '''FlavaMultimodalConfig''',
        '''FlavaTextConfig''',
    ],
}

try:
      if not is_vision_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCamelCase													=		['''FlavaFeatureExtractor''']
      UpperCamelCase													=		['''FlavaImageProcessor''']
      UpperCamelCase													=		['''FlavaProcessor''']

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCamelCase													=		[
          '''FLAVA_PRETRAINED_MODEL_ARCHIVE_LIST''',
          '''FlavaForPreTraining''',
          '''FlavaImageCodebook''',
          '''FlavaImageModel''',
          '''FlavaModel''',
          '''FlavaMultimodalModel''',
          '''FlavaPreTrainedModel''',
          '''FlavaTextModel''',
      ]

if TYPE_CHECKING:
      from .configuration_flava import (
          FLAVA_PRETRAINED_CONFIG_ARCHIVE_MAP,
          FlavaConfig,
          FlavaImageCodebookConfig,
          FlavaImageConfig,
          FlavaMultimodalConfig,
          FlavaTextConfig,
      )

      try:
            if not is_vision_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .feature_extraction_flava import FlavaFeatureExtractor
            from .image_processing_flava import FlavaImageProcessor
            from .processing_flava import FlavaProcessor

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_flava import (
                FLAVA_PRETRAINED_MODEL_ARCHIVE_LIST,
                FlavaForPreTraining,
                FlavaImageCodebook,
                FlavaImageModel,
                FlavaModel,
                FlavaMultimodalModel,
                FlavaPreTrainedModel,
                FlavaTextModel,
            )

else:
      import sys

      UpperCamelCase													=		_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



