



'''simple docstring'''

def       __UpperCamelCase	(       UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					):

 def update_area_of_max_square(UpperCAmelCase		,					UpperCAmelCase					) -> int:
  # BASE CASE
  if row >= rows or col >= cols:
   return 0

  lowercase__    :   Tuple						= update_area_of_max_square(snake_case_		,					col + 1					)
  lowercase__    :   Optional[int]						= update_area_of_max_square(row + 1		,					col + 1					)
  lowercase__    :   List[str]						= update_area_of_max_square(row + 1		,					snake_case_					)

  if mat[row][col]:
   lowercase__    :   Dict						= 1 + min([right, diagonal, down]					)
   lowercase__    :   int						= max(largest_square_area[0]		,					snake_case_					)
   return sub_problem_sol
  else:
   return 0

 lowercase__    :   Dict						= [0]
 update_area_of_max_square(0		,					0					)
 return largest_square_area[0]
def       __UpperCamelCase	(       UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					):

 def update_area_of_max_square_using_dp_array(
     UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					) -> int:
  if row >= rows or col >= cols:
   return 0
  if dp_array[row][col] != -1:
   return dp_array[row][col]

  lowercase__    :   Dict						= update_area_of_max_square_using_dp_array(snake_case_		,					col + 1		,					snake_case_					)
  lowercase__    :   Union[str, Any]						= update_area_of_max_square_using_dp_array(row + 1		,					col + 1		,					snake_case_					)
  lowercase__    :   Dict						= update_area_of_max_square_using_dp_array(row + 1		,					snake_case_		,					snake_case_					)

  if mat[row][col]:
   lowercase__    :   Optional[Any]						= 1 + min([right, diagonal, down]					)
   lowercase__    :   List[str]						= max(largest_square_area[0]		,					snake_case_					)
   lowercase__    :   Optional[Any]						= sub_problem_sol
   return sub_problem_sol
  else:
   return 0

 lowercase__    :   Tuple						= [0]
 lowercase__    :   str						= [[-1] * cols for _ in range(snake_case_					)]
 update_area_of_max_square_using_dp_array(0		,					0		,					snake_case_					)

 return largest_square_area[0]
def       __UpperCamelCase	(       UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					):
 lowercase__    :   Any						= [[0] * (cols + 1) for _ in range(rows + 1					)]
 lowercase__    :   Union[str, Any]						= 0
 for row in range(rows - 1		,					-1		,					-1					):
  for col in range(cols - 1		,					-1		,					-1					):
   lowercase__    :   int						= dp_array[row][col + 1]
   lowercase__    :   Union[str, Any]						= dp_array[row + 1][col + 1]
   lowercase__    :   List[str]						= dp_array[row + 1][col]

   if mat[row][col] == 1:
    lowercase__    :   List[Any]						= 1 + min(snake_case_		,					snake_case_		,					snake_case_					)
    lowercase__    :   Optional[int]						= max(dp_array[row][col]		,					snake_case_					)
   else:
    lowercase__    :   Optional[int]						= 0

 return largest_square_area
def       __UpperCamelCase	(       UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					):
 lowercase__    :   Dict						= [0] * (cols + 1)
 lowercase__    :   Union[str, Any]						= [0] * (cols + 1)
 lowercase__    :   Tuple						= 0
 for row in range(rows - 1		,					-1		,					-1					):
  for col in range(cols - 1		,					-1		,					-1					):
   lowercase__    :   int						= current_row[col + 1]
   lowercase__    :   int						= next_row[col + 1]
   lowercase__    :   Union[str, Any]						= next_row[col]

   if mat[row][col] == 1:
    lowercase__    :   Dict						= 1 + min(snake_case_		,					snake_case_		,					snake_case_					)
    lowercase__    :   List[str]						= max(current_row[col]		,					snake_case_					)
   else:
    lowercase__    :   List[Any]						= 0
  lowercase__    :   Optional[int]						= current_row

 return largest_square_area


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  print(largest_square_area_in_matrix_bottom_up(2, 2, [[1, 1], [1, 1]]))


'''simple docstring'''

import re

from filelock import FileLock


try:
  import nltk

  __a:			Tuple	       =       True
except (ImportError, ModuleNotFoundError):
  __a:			List[Any]	       =       False

if NLTK_AVAILABLE:
  with FileLock(""".lock""") as lock:
    nltk.download("""punkt""", quiet=True)
def       __UpperCamelCase	(       UpperCAmelCase					):
 re.sub('''<n>'''		,					''''''		,					UpperCAmelCase					)  # 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(UpperCAmelCase					)					)

