
def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				List[str]:

  """simple docstring"""






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


def 							__A(lowerCAmelCase						,  lowerCAmelCase=0 )		->				List[Any]:

  """simple docstring"""






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


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase=float("""inf""" ) )		->				Optional[int]:

  """simple docstring"""






  for i in range(points_counts - 1 ):
    for j in range(i + 1						,  __lowercase ):
      _UpperCamelCase						    =	euclidean_distance_sqr(points[i]						,  points[j] )
      if current_dis < min_dis:
        _UpperCamelCase						    =	current_dis
  return min_dis


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase=float("""inf""" ) )		->				str:

  """simple docstring"""






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


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase )		->				int:

  """simple docstring"""






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

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

  _UpperCamelCase						    =	dis_between_closest_in_strip(
      __lowercase						,  len(__lowercase )						,  __lowercase )
  return min(__lowercase						,  __lowercase )


def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				str:

  """simple docstring"""






  _UpperCamelCase						    =	column_based_sort(__lowercase						,  column=0 )
  _UpperCamelCase						    =	column_based_sort(__lowercase						,  column=1 )
  return (
      closest_pair_of_points_sqr(
          __lowercase						,  __lowercase						,  __lowercase )
  ) ** 0.5


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





import warnings

from ...utils import logging
from .image_processing_beit import BeitImageProcessor


lowerCamelCase__	=							logging.get_logger(__name__)







class        lowerCAmelCase__      (   __lowercase	):

						def __init__(			self       ,							*a       ,							**a				)					->      None:


								'''simple docstring'''

								warnings.warn(
								    """The class BeitFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
								    """ use BeitImageProcessor instead."""       ,							a       ,							)
								super().__init__(*a       ,							**a				)



