

def       a__					(		UpperCAmelCase							:      int    ,			UpperCAmelCase							:      int    ,			UpperCAmelCase							:      list[list[int]]      )  ->						int:

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

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

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

  UpperCAmelCase	:							List[Any]						=			[0]
  update_area_of_max_square(0    ,			0      )
  return largest_square_area[0]

def       a__					(		UpperCAmelCase							:      int    ,			UpperCAmelCase							:      int    ,			UpperCAmelCase							:      list[list[int]]      )  ->						int:

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

    UpperCAmelCase	:							int						=			update_area_of_max_square_using_dp_array(UpperCAmelCase    ,			col + 1    ,			UpperCAmelCase      )
    UpperCAmelCase	:							str						=			update_area_of_max_square_using_dp_array(row + 1    ,			col + 1    ,			UpperCAmelCase      )
    UpperCAmelCase	:							Dict						=			update_area_of_max_square_using_dp_array(row + 1    ,			UpperCAmelCase    ,			UpperCAmelCase      )

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

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

  return largest_square_area[0]

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

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

  return largest_square_area

def       a__					(		UpperCAmelCase							:      int    ,			UpperCAmelCase							:      int    ,			UpperCAmelCase							:      list[list[int]]      )  ->						int:
  UpperCAmelCase	:							List[str]						=			[0] * (cols + 1)
  UpperCAmelCase	:							Dict						=			[0] * (cols + 1)
  UpperCAmelCase	:							List[str]						=			0
  for row in range(rows - 1    ,			-1    ,			-1      ):
    for col in range(cols - 1    ,			-1    ,			-1      ):
      UpperCAmelCase	:							Optional[Any]						=			current_row[col + 1]
      UpperCAmelCase	:							Optional[int]						=			next_row[col + 1]
      UpperCAmelCase	:							Dict						=			next_row[col]

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








from ..utils import DummyObject, requires_backends





class  __UpperCAmelCase					(	metaclass=lowerCamelCase__						):
   UpperCamelCase       					=					["""onnx"""]



   def __init__(							self							:					int,		*__A							:					Optional[Any],		**__A							:					Dict						):
     requires_backends(self,		['''onnx''']						)



   @classmethod
   def 	__magic_name__   (							cls							:					Any,		*__A							:					Any,		**__A							:					Dict						):
     requires_backends(cls,		['''onnx''']						)





   @classmethod
   def 	__magic_name__   (							cls							:					Tuple,		*__A							:					List[str],		**__A							:					List[str]						):
     requires_backends(cls,		['''onnx''']						)





