






def       snake_case_		(     lowerCAmelCase_       :						Dict       ,       lowerCAmelCase_       :						List[Any]       ,       lowerCAmelCase_       :						List[Any]      ):

							def update_area_of_max_square(lowerCAmelCase_       :						Optional[Any]       ,       lowerCAmelCase_       :						Optional[Any]      ) -> int:
														# BASE CASE
														if row >= rows or col >= cols:
																					return 0

														__lowercase      :							Dict				=     update_area_of_max_square(lowerCAmelCase_       ,       col + 1      )
														__lowercase      :							Union[str, Any]				=     update_area_of_max_square(row + 1       ,       col + 1      )
														__lowercase      :							Any				=     update_area_of_max_square(row + 1       ,       lowerCAmelCase_      )

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

							__lowercase      :							List[str]				=     [0]
							update_area_of_max_square(0       ,       0      )
							return largest_square_area[0]
def       snake_case_		(     lowerCAmelCase_       :						Optional[int]       ,       lowerCAmelCase_       :						Optional[int]       ,       lowerCAmelCase_       :						str      ):

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

														__lowercase      :							Optional[int]				=     update_area_of_max_square_using_dp_array(lowerCAmelCase_       ,       col + 1       ,       lowerCAmelCase_      )
														__lowercase      :							int				=     update_area_of_max_square_using_dp_array(row + 1       ,       col + 1       ,       lowerCAmelCase_      )
														__lowercase      :							str				=     update_area_of_max_square_using_dp_array(row + 1       ,       lowerCAmelCase_       ,       lowerCAmelCase_      )

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

							__lowercase      :							Optional[Any]				=     [0]
							__lowercase      :							int				=     [[-1] * cols for _ in range(lowerCAmelCase_      )]
							update_area_of_max_square_using_dp_array(0       ,       0       ,       lowerCAmelCase_      )

							return largest_square_area[0]
def       snake_case_		(     lowerCAmelCase_       :						List[Any]       ,       lowerCAmelCase_       :						str       ,       lowerCAmelCase_       :						Any      ):
							__lowercase      :							Any				=     [[0] * (cols + 1) for _ in range(rows + 1      )]
							__lowercase      :							Dict				=     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      :							int				=     dp_array[row + 1][col + 1]
																					__lowercase      :							List[str]				=     dp_array[row + 1][col]

																					if mat[row][col] == 1:
																												__lowercase      :							int				=     1 + min(lowerCAmelCase_       ,       lowerCAmelCase_       ,       lowerCAmelCase_      )
																												__lowercase      :							Dict				=     max(dp_array[row][col]       ,       lowerCAmelCase_      )
																					else:
																												__lowercase      :							str				=     0

							return largest_square_area
def       snake_case_		(     lowerCAmelCase_       :						Dict       ,       lowerCAmelCase_       :						Union[str, Any]       ,       lowerCAmelCase_       :						str      ):
							__lowercase      :							Optional[int]				=     [0] * (cols + 1)
							__lowercase      :							List[Any]				=     [0] * (cols + 1)
							__lowercase      :							str				=     0
							for row in range(rows - 1       ,       -1       ,       -1      ):
														for col in range(cols - 1       ,       -1       ,       -1      ):
																					__lowercase      :							Union[str, Any]				=     current_row[col + 1]
																					__lowercase      :							Any				=     next_row[col + 1]
																					__lowercase      :							Any				=     next_row[col]

																					if mat[row][col] == 1:
																												__lowercase      :							Tuple				=     1 + min(lowerCAmelCase_       ,       lowerCAmelCase_       ,       lowerCAmelCase_      )
																												__lowercase      :							int				=     max(current_row[col]       ,       lowerCAmelCase_      )
																					else:
																												__lowercase      :							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]]))












from __future__ import annotations
def       snake_case_		(     lowerCAmelCase_       :						list[int]      ):
							if not nums:
														return 0
							__lowercase      :							Tuple				=     nums[0]
							__lowercase      :							Tuple				=     0
							for num in nums[1:]:
														__lowercase			,			__lowercase      :							List[str]				=     (
														    max_excluding + num,
														    max(lowerCAmelCase_       ,       lowerCAmelCase_      ),
														)
							return max(lowerCAmelCase_       ,       lowerCAmelCase_      )


if __name__ == "__main__":
	import doctest

	doctest.testmod()