A, a compound with molecular formula $\mathrm{C}_{6} \mathrm{H}_{10},$ contains three methylene units. A reacts with one equivalent of $\mathrm{H}_{2}$ over $\mathrm{Pd} / \mathrm{C}$ to yield $\mathbf{B}$. A reacts with aqueous acid to form a single product, $\mathbf{C},$ and undergoes hydroboration/oxidation to form a pair of enantiomers, $\mathbf{D}$ and $\mathbf{E}$. Ozonolysis of $\mathbf{A}$ followed by reaction with dimethyl sulfide forms $\mathbf{F}$ with molecular formula $\mathrm{C}_{6} \mathrm{H}_{10} \mathrm{O}_{2} .$ Provide structures for $\mathbf{A}-\mathbf{F}$.