



from __future__ import annotations

from collections.abc import Generator




def     UpperCAmelCase__ (							__snake_case							)   -> Generator[int, None, None]:
  if not isinstance(__snake_case						,				__snake_case							) or n < 1:
    raise Exception('''Sequence only defined for positive integers'''							)

  yield n
  while n != 1:
    if n % 2 == 0:
      n //= 2
    else:
      _A           =    3 * n + 1
    yield n




def     UpperCAmelCase__ (							)   -> Optional[Any]:
  _A           =    43
  _A           =    tuple(collatz_sequence(__snake_case							)							)
  print(__snake_case							)
  print(F'''Collatz sequence from {n} took {len(__snake_case							)} steps.'''							)


if __name__ == "__main__":
    main()




from sklearn.metrics import accuracy_score

import datasets


__lowerCamelCase  				=					"""
Accuracy is the proportion of correct predictions among the total number of cases processed. It can be computed with:
Accuracy = (TP + TN) / (TP + TN + FP + FN)
 Where:
TP: True positive
TN: True negative
FP: False positive
FN: False negative
"""


__lowerCamelCase  				=					"""
Args:
    predictions (`list` of `int`): Predicted labels.
    references (`list` of `int`): Ground truth labels.
    normalize (`boolean`): If set to False, returns the number of correctly classified samples. Otherwise, returns the fraction of correctly classified samples. Defaults to True.
    sample_weight (`list` of `float`): Sample weights Defaults to None.

Returns:
    accuracy (`float` or `int`): Accuracy score. Minimum possible value is 0. Maximum possible value is 1.0, or the number of examples input, if `normalize` is set to `True`.. A higher score means higher accuracy.

Examples:

    Example 1-A simple example
        >>> accuracy_metric = datasets.load_metric(\"accuracy\")
        >>> results = accuracy_metric.compute(references=[0, 1, 2, 0, 1, 2], predictions=[0, 1, 1, 2, 1, 0])
        >>> print(results)
        {'accuracy': 0.5}

    Example 2-The same as Example 1, except with `normalize` set to `False`.
        >>> accuracy_metric = datasets.load_metric(\"accuracy\")
        >>> results = accuracy_metric.compute(references=[0, 1, 2, 0, 1, 2], predictions=[0, 1, 1, 2, 1, 0], normalize=False)
        >>> print(results)
        {'accuracy': 3.0}

    Example 3-The same as Example 1, except with `sample_weight` set.
        >>> accuracy_metric = datasets.load_metric(\"accuracy\")
        >>> results = accuracy_metric.compute(references=[0, 1, 2, 0, 1, 2], predictions=[0, 1, 1, 2, 1, 0], sample_weight=[0.5, 2, 0.7, 0.5, 9, 0.4])
        >>> print(results)
        {'accuracy': 0.8778625954198473}
"""


__lowerCamelCase  				=					"""
@article{scikit-learn,
  title={Scikit-learn: Machine Learning in {P}ython},
  author={Pedregosa, F. and Varoquaux, G. and Gramfort, A. and Michel, V.
         and Thirion, B. and Grisel, O. and Blondel, M. and Prettenhofer, P.
         and Weiss, R. and Dubourg, V. and Vanderplas, J. and Passos, A. and
         Cournapeau, D. and Brucher, M. and Perrot, M. and Duchesnay, E.},
  journal={Journal of Machine Learning Research},
  volume={12},
  pages={2825--2830},
  year={2011}
}
"""



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





 """simple docstring"""



 def lowercase_		(						self					)	->							Optional[Any]:




   """simple docstring"""







   return datasets.MetricInfo(
       description=_DESCRIPTION	,    citation=_CITATION	,    inputs_description=_KWARGS_DESCRIPTION	,    features=datasets.Features(
           {
               '''predictions''': datasets.Sequence(datasets.Value('''int32'''					)					),
               '''references''': datasets.Sequence(datasets.Value('''int32'''					)					),
           }
           if self.config_name == '''multilabel'''
           else {
               '''predictions''': datasets.Value('''int32'''					),
               '''references''': datasets.Value('''int32'''					),
           }					)	,    reference_urls=['''https://scikit-learn.org/stable/modules/generated/sklearn.metrics.accuracy_score.html''']	,    )



 def lowercase_		(						self	,    a	,    a	,    a=True	,    a=None					)	->							Dict:




   """simple docstring"""







   return {
       "accuracy": float(
           accuracy_score(a	,    a	,    normalize=a	,    sample_weight=a					)					)
   }