





def 		lowerCAmelCase_    (  __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__							:				Any          =      update_area_of_max_square(__UpperCAmelCase		,   col + 1      )
        UpperCamelCase__							:				List[str]          =      update_area_of_max_square(row + 1		,   col + 1      )
        UpperCamelCase__							:				Tuple          =      update_area_of_max_square(row + 1		,   __UpperCAmelCase      )

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

    UpperCamelCase__							:				Optional[Any]          =      [0]
    update_area_of_max_square(0		,   0      )
    return largest_square_area[0]




def 		lowerCAmelCase_    (  __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__							:				List[str]          =      update_area_of_max_square_using_dp_array(__UpperCAmelCase		,   col + 1		,   __UpperCAmelCase      )
        UpperCamelCase__							:				Any          =      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__							:				Optional[Any]          =      1 + min([right, diagonal, down]      )
            UpperCamelCase__							:				List[str]          =      max(largest_square_area[0]		,   __UpperCAmelCase      )
            UpperCamelCase__							:				Any          =      sub_problem_sol
            return sub_problem_sol
        else:
            return 0

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

    return largest_square_area[0]




def 		lowerCAmelCase_    (  __UpperCAmelCase:			int		,   __UpperCAmelCase:			int		,   __UpperCAmelCase:			list[list[int]]      )      ->	int:
    UpperCamelCase__							:				List[Any]          =      [[0] * (cols + 1) for _ in range(rows + 1      )]
    UpperCamelCase__							:				Dict          =      0
    for row in range(rows - 1		,   -1		,   -1      ):
        for col in range(cols - 1		,   -1		,   -1      ):
            UpperCamelCase__							:				Dict          =      dp_array[row][col + 1]
            UpperCamelCase__							:				Dict          =      dp_array[row + 1][col + 1]
            UpperCamelCase__							:				Optional[int]          =      dp_array[row + 1][col]

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

    return largest_square_area




def 		lowerCAmelCase_    (  __UpperCAmelCase:			int		,   __UpperCAmelCase:			int		,   __UpperCAmelCase:			list[list[int]]      )      ->	int:
    UpperCamelCase__							:				Any          =      [0] * (cols + 1)
    UpperCamelCase__							:				Union[str, Any]          =      [0] * (cols + 1)
    UpperCamelCase__							:				Dict          =      0
    for row in range(rows - 1		,   -1		,   -1      ):
        for col in range(cols - 1		,   -1		,   -1      ):
            UpperCamelCase__							:				List[Any]          =      current_row[col + 1]
            UpperCamelCase__							:				List[Any]          =      next_row[col + 1]
            UpperCamelCase__							:				Tuple          =      next_row[col]

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








UpperCAmelCase_     							= 'Input must be a string of 8 numbers plus letter'
UpperCAmelCase_     							= 'TRWAGMYFPDXBNJZSQVHLCKE'




def 		lowerCAmelCase_    (  __UpperCAmelCase:			str      )      ->	bool:

    if not isinstance(__UpperCAmelCase		,   __UpperCAmelCase      ):
        UpperCamelCase__							:				Any          =      f"Expected string as input, found {type(__UpperCAmelCase      ).__name__}"
        raise TypeError(__UpperCAmelCase      )

    UpperCamelCase__							:				int          =      spanish_id.replace('''-'''		,   ''''''      ).upper()
    if len(__UpperCAmelCase      ) != 9:
        raise ValueError(__UpperCAmelCase      )

    try:
        UpperCamelCase__							:				List[str]          =      int(spanish_id_clean[0:8]      )
        UpperCamelCase__							:				Optional[int]          =      spanish_id_clean[8]
    except ValueError as ex:
        raise ValueError(__UpperCAmelCase      ) from ex

    if letter.isdigit():
        raise ValueError(__UpperCAmelCase      )

    return letter == LOOKUP_LETTERS[number % 23]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

