


from math import ceil, sqrt
def 				__lowerCamelCase						( UpperCAmelCase_						:		str = 100_0000						):




      """simple docstring"""





      a						:Dict 							=       0

      for outer_width in range(3 ,  (limit // 4) + 2						):
            if outer_width**2 > limit:
                  a						:Optional[int] 							=       max(ceil(sqrt(outer_width**2 - limit						)						) ,  1						)
            else:
                  a						:Optional[Any] 							=       1
            if (outer_width - hole_width_lower_bound) % 2:
                  hole_width_lower_bound += 1

            answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

      return answer


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







"""simple docstring"""





import datasets


_a														=		"""\
@InProceedings{conneau2018xnli,
  author = \"Conneau, Alexis
                 and Rinott, Ruty
                 and Lample, Guillaume
                 and Williams, Adina
                 and Bowman, Samuel R.
                 and Schwenk, Holger
                 and Stoyanov, Veselin\",
  title = \"XNLI: Evaluating Cross-lingual Sentence Representations\",
  booktitle = \"Proceedings of the 2018 Conference on Empirical Methods
               in Natural Language Processing\",
  year = \"2018\",
  publisher = \"Association for Computational Linguistics\",
  location = \"Brussels, Belgium\",
}
"""

_a														=		"""\
XNLI is a subset of a few thousand examples from MNLI which has been translated
into a 14 different languages (some low-ish resource). As with MNLI, the goal is
to predict textual entailment (does sentence A imply/contradict/neither sentence
B) and is a classification task (given two sentences, predict one of three
labels).
"""

_a														=		"""
Computes XNLI score which is just simple accuracy.
Args:
    predictions: Predicted labels.
    references: Ground truth labels.
Returns:
    'accuracy': accuracy
Examples:

    >>> predictions = [0, 1]
    >>> references = [0, 1]
    >>> xnli_metric = datasets.load_metric(\"xnli\")
    >>> results = xnli_metric.compute(predictions=predictions, references=references)
    >>> print(results)
    {'accuracy': 1.0}
"""



def       lowerCamelCase__		(			__snake_case,     __snake_case	)							->		str:


					"""simple docstring"""





					return (preds == labels).mean()






@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION      ,     _KWARGS_DESCRIPTION	)
class     _UpperCAmelCase(    datasets.Metric	):



		def 						UpperCAmelCase							(					self)       ->       Dict:






							'''simple docstring'''
							return datasets.MetricInfo(
							    description=_DESCRIPTION				,		citation=_CITATION				,		inputs_description=_KWARGS_DESCRIPTION				,		features=datasets.Features(
							        {
							            '''predictions''': datasets.Value('''int64''' if self.config_name != '''sts-b''' else '''float32'''),
							            '''references''': datasets.Value('''int64''' if self.config_name != '''sts-b''' else '''float32'''),
							        })				,		codebase_urls=[]				,		reference_urls=[]				,		format='''numpy'''				,		)




		def 						UpperCAmelCase							(					self				,		__a				,		__a)       ->       Dict:






							'''simple docstring'''
							return {"accuracy": simple_accuracy(__a				,		__a)}






