The aldohexose $\mathrm{D}-(+)$ -galactose can be obtained by hydrolysis of lactose, a disaccharide found in milk. When $\mathrm{D}-(+)$ -galactose is treated with nitric acid, it yields an optically inactive aldaric acid. When $\mathrm{D}-(+)$ - galactose is subjected to Ruff degradation, it yields D-(-)-lyxose (see Practice Problem 22.15 ). Using only these data, write the Fischer projection formula for $\mathrm{D}-(+)$ -galactose.