Compound $\mathbf{A}, \mathrm{C}_{11} \mathrm{H}_{16} \mathrm{O}$, was found to be an optically active alcohol. Despite its apparent unsaturation, no hydrogen was absorbed on catalytic reduction over a palladium catalyst. On treatment of A with dilute sulfuric acid, dehydration occurred and an optically inactive alkene B, $\mathrm{C}_{11} \mathrm{H}_{14}$, was the major product. Alkene $\mathbf{B}$, on ozonolysis, gave two products. One product was identified as propanal, $\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CHO}$. Compound $\mathbf{C}$, the other product, was shown to be a ketone, $\mathrm{C}_8 \mathrm{H}_8 \mathrm{O}$. How many degrees of unsaturation does $\mathbf{A}$ have? Write the reactions, and identify $\mathbf{A}, \mathbf{B}$, and c.