"""simple docstring"""




def 							SCREAMING_SNAKE_CASE					(      _lowerCamelCase						:	int      ,_lowerCamelCase						:	int      ,_lowerCamelCase						:	list[list[int]]     )	->				int:

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

    _lowerCAmelCase						:	List[str]        =					update_area_of_max_square(_lowerCamelCase      ,col + 1     )
    _lowerCAmelCase						:	Optional[Any]        =					update_area_of_max_square(row + 1      ,col + 1     )
    _lowerCAmelCase						:	Any        =					update_area_of_max_square(row + 1      ,_lowerCamelCase     )

    if mat[row][col]:
      _lowerCAmelCase						:	Any        =					1 + min([right, diagonal, down]     )
      _lowerCAmelCase						:	Optional[int]        =					max(largest_square_area[0]      ,_lowerCamelCase     )
      return sub_problem_sol
    else:
      return 0

  _lowerCAmelCase						:	Dict        =					[0]
  update_area_of_max_square(0      ,0     )
  return largest_square_area[0]





def 							SCREAMING_SNAKE_CASE					(      _lowerCamelCase						:	int      ,_lowerCamelCase						:	int      ,_lowerCamelCase						:	list[list[int]]     )	->				int:

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

    _lowerCAmelCase						:	Optional[Any]        =					update_area_of_max_square_using_dp_array(_lowerCamelCase      ,col + 1      ,_lowerCamelCase     )
    _lowerCAmelCase						:	int        =					update_area_of_max_square_using_dp_array(row + 1      ,col + 1      ,_lowerCamelCase     )
    _lowerCAmelCase						:	str        =					update_area_of_max_square_using_dp_array(row + 1      ,_lowerCamelCase      ,_lowerCamelCase     )

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

  _lowerCAmelCase						:	int        =					[0]
  _lowerCAmelCase						:	List[Any]        =					[[-1] * cols for _ in range(_lowerCamelCase     )]
  update_area_of_max_square_using_dp_array(0      ,0      ,_lowerCamelCase     )

  return largest_square_area[0]





def 							SCREAMING_SNAKE_CASE					(      _lowerCamelCase						:	int      ,_lowerCamelCase						:	int      ,_lowerCamelCase						:	list[list[int]]     )	->				int:
  _lowerCAmelCase						:	Union[str, Any]        =					[[0] * (cols + 1) for _ in range(rows + 1     )]
  _lowerCAmelCase						:	Optional[Any]        =					0
  for row in range(rows - 1      ,-1      ,-1     ):
    for col in range(cols - 1      ,-1      ,-1     ):
      _lowerCAmelCase						:	Dict        =					dp_array[row][col + 1]
      _lowerCAmelCase						:	Union[str, Any]        =					dp_array[row + 1][col + 1]
      _lowerCAmelCase						:	List[Any]        =					dp_array[row + 1][col]

      if mat[row][col] == 1:
        _lowerCAmelCase						:	Tuple        =					1 + min(_lowerCamelCase      ,_lowerCamelCase      ,_lowerCamelCase     )
        _lowerCAmelCase						:	Union[str, Any]        =					max(dp_array[row][col]      ,_lowerCamelCase     )
      else:
        _lowerCAmelCase						:	Optional[Any]        =					0

  return largest_square_area





def 							SCREAMING_SNAKE_CASE					(      _lowerCamelCase						:	int      ,_lowerCamelCase						:	int      ,_lowerCamelCase						:	list[list[int]]     )	->				int:
  _lowerCAmelCase						:	int        =					[0] * (cols + 1)
  _lowerCAmelCase						:	int        =					[0] * (cols + 1)
  _lowerCAmelCase						:	Tuple        =					0
  for row in range(rows - 1      ,-1      ,-1     ):
    for col in range(cols - 1      ,-1      ,-1     ):
      _lowerCAmelCase						:	Optional[int]        =					current_row[col + 1]
      _lowerCAmelCase						:	List[Any]        =					next_row[col + 1]
      _lowerCAmelCase						:	Tuple        =					next_row[col]

      if mat[row][col] == 1:
        _lowerCAmelCase						:	Union[str, Any]        =					1 + min(_lowerCamelCase      ,_lowerCamelCase      ,_lowerCamelCase     )
        _lowerCAmelCase						:	Tuple        =					max(current_row[col]      ,_lowerCamelCase     )
      else:
        _lowerCAmelCase						:	List[Any]        =					0
    _lowerCAmelCase						:	Tuple        =					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"""




_a				:		Any	   =       '\n# Transformers installation\n! pip install transformers datasets\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n'

_a				:		List[Any]	   =       [{'type': 'code', 'content': INSTALL_CONTENT}]
_a				:		Union[str, Any]	   =       {
    '{processor_class}': 'FakeProcessorClass',
    '{model_class}': 'FakeModelClass',
    '{object_class}': 'FakeObjectClass',
}




