Gentiobiose, a rare disaccharide found in saffron and gentian, is a reducing sugar and forms only D-glucose on hydrolysis with aqueous acid. Reaction of gentiobiose with iodomethane and $\mathrm{Ag}_{2} \mathrm{O}$ yields an octamethyl derivative, which can be hydrolyzed with aqueous acid to give 1 equivalent of 2,3,4,6 -tetra-O-methyl-D-glucopyranose and 1 equivalent of 2,3,4 -tri- $O$ -methyl-D-glucopyranose. If gentiobiose contains a $\beta$ -glycoside link, what is its structure?