
'''simple docstring'''






def 		A_       (	_lowerCAmelCase   :    str				,	_lowerCAmelCase   :    int							):



      """simple docstring"""




      return (pointa[0] - pointa[0]) ** 2 + (pointa[1] - pointa[1]) ** 2







def 		A_       (	_lowerCAmelCase   :    str				,	_lowerCAmelCase   :    Any=0							):



      """simple docstring"""




      return sorted(_lowerCAmelCase				,	key=lambda _lowerCAmelCase							: x[column]							)







def 		A_       (	_lowerCAmelCase   :    Dict				,	_lowerCAmelCase   :    Tuple				,	_lowerCAmelCase   :    Dict=float("inf"							)							):



      """simple docstring"""




      for i in range(points_counts - 1							):
            for j in range(i + 1				,	_lowerCAmelCase							):
                  _lowerCamelCase				:   List[Any]								=   euclidean_distance_sqr(points[i]				,	points[j]							)
                  if current_dis < min_dis:
                        _lowerCamelCase				:   List[Any]								=   current_dis
      return min_dis







def 		A_       (	_lowerCAmelCase   :    Optional[Any]				,	_lowerCAmelCase   :    Union[str, Any]				,	_lowerCAmelCase   :    int=float("inf"							)							):



      """simple docstring"""




      for i in range(min(6				,	points_counts - 1							)				,	_lowerCAmelCase							):
            for j in range(max(0				,	i - 6							)				,	_lowerCAmelCase							):
                  _lowerCamelCase				:   str								=   euclidean_distance_sqr(points[i]				,	points[j]							)
                  if current_dis < min_dis:
                        _lowerCamelCase				:   List[str]								=   current_dis
      return min_dis







def 		A_       (	_lowerCAmelCase   :    Tuple				,	_lowerCAmelCase   :    Tuple				,	_lowerCAmelCase   :    Dict							):



      """simple docstring"""




      if points_counts <= 3:
            return dis_between_closest_pair(_lowerCAmelCase				,	_lowerCAmelCase							)

      # recursion
      _lowerCamelCase				:   Any								=   points_counts // 2
      _lowerCamelCase				:   Optional[Any]								=   closest_pair_of_points_sqr(
          _lowerCAmelCase				,	points_sorted_on_y[:mid]				,	_lowerCAmelCase							)
      _lowerCamelCase				:   Optional[int]								=   closest_pair_of_points_sqr(
          _lowerCAmelCase				,	points_sorted_on_y[mid:]				,	points_counts - mid							)
      _lowerCamelCase				:   int								=   min(_lowerCAmelCase				,	_lowerCAmelCase							)
      _lowerCamelCase				:   Optional[Any]								=   []
      for point in points_sorted_on_x:
            if abs(point[0] - points_sorted_on_x[mid][0]							) < closest_pair_dis:
                  cross_strip.append(_lowerCAmelCase							)

      _lowerCamelCase				:   str								=   dis_between_closest_in_strip(
          _lowerCAmelCase				,	len(_lowerCAmelCase							)				,	_lowerCAmelCase							)
      return min(_lowerCAmelCase				,	_lowerCAmelCase							)







def 		A_       (	_lowerCAmelCase   :    List[Any]				,	_lowerCAmelCase   :    str							):



      """simple docstring"""




      _lowerCamelCase				:   List[Any]								=   column_based_sort(_lowerCAmelCase				,	column=0							)
      _lowerCamelCase				:   Dict								=   column_based_sort(_lowerCAmelCase				,	column=1							)
      return (
          closest_pair_of_points_sqr(
              _lowerCAmelCase				,	_lowerCAmelCase				,	_lowerCAmelCase							)
      ) ** 0.5


if __name__ == "__main__":
 UpperCAmelCase_       :   str   =       [(2, 3), (12, 30), (40, 50), (5, 1), (12, 10), (3, 4)]
 print('Distance:', closest_pair_of_points(points, len(points)))

'''simple docstring'''






import warnings

from ..trainer import Trainer
from ..utils import logging


UpperCAmelCase_       :   Union[str, Any]   =       logging.get_logger(__name__)

class  UpperCAmelCase__						(       A ):



    def __init__(	self      :       int,__A      :       Any=None,**__A      :       Optional[Any]     ):
          warnings.warn(
              "`SageMakerTrainer` is deprecated and will be removed in v5 of Transformers. You can use `Trainer` "
              "instead.",__A,)
          super().__init__(args=__A,**__A     )