
"""simple docstring"""

def 							A		(       snake_case   :Tuple       ,      snake_case   :List[Any]	)   ->			Union[str, Any]:
 return (pointa[0] - pointa[0]) ** 2 + (pointa[1] - pointa[1]) ** 2






def 							A		(       snake_case   :Optional[int]       ,      snake_case   :int=0	)   ->			Dict:
 return sorted(snake_case       ,      key=lambda snake_case	: x[column]	)






def 							A		(       snake_case   :Optional[int]       ,      snake_case   :Tuple       ,      snake_case   :List[str]=float('inf'	)	)   ->			Optional[int]:

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






def 							A		(       snake_case   :Optional[int]       ,      snake_case   :List[Any]       ,      snake_case   :Optional[Any]=float('inf'	)	)   ->			Tuple:

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






def 							A		(       snake_case   :Any       ,      snake_case   :int       ,      snake_case   :Tuple	)   ->			List[str]:

 # base case
 if points_counts <= 3:
  return dis_between_closest_pair(snake_case       ,      snake_case	)

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

 __UpperCamelCase       						= dis_between_closest_in_strip(
     snake_case       ,      len(snake_case	)       ,      snake_case	)
 return min(snake_case       ,      snake_case	)






def 							A		(       snake_case   :int       ,      snake_case   :List[Any]	)   ->			int:
 __UpperCamelCase       						= column_based_sort(snake_case       ,      column=0	)
 __UpperCamelCase       						= column_based_sort(snake_case       ,      column=1	)
 return (
     closest_pair_of_points_sqr(
         snake_case       ,      snake_case       ,      snake_case	)
 ) ** 0.5


if __name__ == "__main__":
      UpperCamelCase			:       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)))





"""simple docstring"""

import re

from filelock import FileLock


try:
      import nltk

      UpperCamelCase			:       int									=				True
except (ImportError, ModuleNotFoundError):
      UpperCamelCase			:       List[str]									=				False

if NLTK_AVAILABLE:
      with FileLock(".lock") as lock:
            nltk.download("punkt", quiet=True)






def 							A		(       snake_case   :str	)   ->			str:
 re.sub('<n>'       ,      ''       ,      snake_case	)  # remove pegasus newline char
 assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
 return "\n".join(nltk.sent_tokenize(snake_case	)	)



