





"""simple docstring"""





from __future__ import annotations




class 							snake_case							:

      '''simple docstring'''



      def __init__(							self       :      List[str]						,				__lowercase       :      str						,				__lowercase       :      str ):


        '''simple docstring'''




        __UpperCAmelCase       ,     __UpperCAmelCase    :						List[str]       =						text, pattern
        __UpperCAmelCase       ,     __UpperCAmelCase    :						Union[str, Any]       =						len(__lowercase ), len(__lowercase )

      def       A_					(							self       :      Any						,				__lowercase       :      str ):


        '''simple docstring'''




        for i in range(self.patLen - 1						,				-1						,				-1 ):
          if char == self.pattern[i]:
            return i
        return -1

      def       A_					(							self       :      Optional[int]						,				__lowercase       :      int ):


        '''simple docstring'''




        for i in range(self.patLen - 1						,				-1						,				-1 ):
          if self.pattern[i] != self.text[current_pos + i]:
            return current_pos + i
        return -1







      def       A_					(							self       :      Tuple ):


        '''simple docstring'''




        __UpperCAmelCase    :						Dict       =						[]
        for i in range(self.textLen - self.patLen + 1 ):
          __UpperCAmelCase    :						Optional[Any]       =						self.mismatch_in_text(__lowercase )
          if mismatch_index == -1:
            positions.append(__lowercase )
          else:
            __UpperCAmelCase    :						int       =						self.match_in_pattern(self.text[mismatch_index] )
            __UpperCAmelCase    :						str       =						(
                mismatch_index - match_index
            )  # shifting index lgtm [py/multiple-definition]
        return positions


lowercase__				:Optional[Any]				   =       'ABAABA'
lowercase__				:int				   =       'AB'
lowercase__				:Dict				   =       BoyerMooreSearch(text, pattern)
lowercase__				:Union[str, Any]				   =       bms.bad_character_heuristic()

if len(positions) == 0:
  print('No match found')
else:
  print('Pattern found in following positions: ')
  print(positions)






"""simple docstring"""





def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->Tuple:





  """simple docstring"""


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


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_=0  )						->Dict:





  """simple docstring"""


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


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  ,			UpperCAmelCase_=float('''inf'''  )  )						->str:





  """simple docstring"""


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


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  ,			UpperCAmelCase_=float('''inf'''  )  )						->str:





  """simple docstring"""


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


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  ,			UpperCAmelCase_  )						->Any:





  """simple docstring"""


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

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

  __UpperCAmelCase    :						Union[str, Any]       =						dis_between_closest_in_strip(
      UpperCAmelCase_  ,			len(UpperCAmelCase_  )  ,			UpperCAmelCase_  )
  return min(UpperCAmelCase_  ,			UpperCAmelCase_  )


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->List[Any]:





  """simple docstring"""


  __UpperCAmelCase    :						str       =						column_based_sort(UpperCAmelCase_  ,			column=0  )
  __UpperCAmelCase    :						Any       =						column_based_sort(UpperCAmelCase_  ,			column=1  )
  return (
      closest_pair_of_points_sqr(
          UpperCAmelCase_  ,			UpperCAmelCase_  ,			UpperCAmelCase_  )
  ) ** 0.5


if __name__ == "__main__":
  lowercase__				:Optional[Any]				   =       [(2, 3), (1_2, 3_0), (4_0, 5_0), (5, 1), (1_2, 1_0), (3, 4)]
  print('Distance:', closest_pair_of_points(points, len(points)))