






from __future__ import annotations





def 						A_					(						lowercase_			)				->set[int]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		{1}
 SCREAMING_SNAKE_CASE				    =		[1]
 for _ in range(2	,  depth + 1			):
  SCREAMING_SNAKE_CASE				    =		[*previous_coefficients, 0]
  SCREAMING_SNAKE_CASE				    =		[0, *previous_coefficients]
  SCREAMING_SNAKE_CASE				    =		[]
  for x, y in zip(lowercase_	,  lowercase_			):
   coefficients.add(x + y			)
   previous_coefficients.append(x + y			)
 return coefficients





def 						A_					(						lowercase_			)				->set[int]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		set()
 for number in unique_coefficients:
  SCREAMING_SNAKE_CASE				    =		2
  SCREAMING_SNAKE_CASE				    =		number
  while divisor**2 <= copy_number:
   SCREAMING_SNAKE_CASE				    =		0
   while copy_number % divisor == 0:
    copy_number //= divisor
    multiplicity += 1
   if multiplicity >= 2:
    non_squarefrees.add(lowercase_			)
    break
   divisor += 1

 return unique_coefficients.difference(lowercase_			)





def 						A_					(						lowercase_ = 5_1			)				->int:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		get_pascal_triangle_unique_coefficients(lowercase_			)
 SCREAMING_SNAKE_CASE				    =		get_squarefrees(lowercase_			)
 return sum(lowercase_			)


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











from typing import TYPE_CHECKING

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


UpperCAmelCase_       : List[Any]							=    {
    """configuration_retribert""": ["""RETRIBERT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """RetriBertConfig"""],
    """tokenization_retribert""": ["""RetriBertTokenizer"""],
}

try:
      if not is_tokenizers_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_       : str							=    ["""RetriBertTokenizerFast"""]

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_       : Optional[Any]							=    [
          """RETRIBERT_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """RetriBertModel""",
          """RetriBertPreTrainedModel""",
      ]


if TYPE_CHECKING:
      from .configuration_retribert import RETRIBERT_PRETRAINED_CONFIG_ARCHIVE_MAP, RetriBertConfig
      from .tokenization_retribert import RetriBertTokenizer

      try:
            if not is_tokenizers_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .tokenization_retribert_fast import RetriBertTokenizerFast

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_retribert import (
                RETRIBERT_PRETRAINED_MODEL_ARCHIVE_LIST,
                RetriBertModel,
                RetriBertPreTrainedModel,
            )

else:
      import sys

      UpperCAmelCase_       : Tuple							=    _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
