An aromatic compound $\left(\mathrm{A}\right)$ with molecular formula ${\mathrm{C}}_{14}{\mathrm{H}}_{20}{\mathrm{O}}_4$ with ${\mathrm{HIO}}_4$ gives $2$ moles of $\left(\mathrm{B}\right) {\mathrm{C}}_2{\mathrm{H}}_4\mathrm{O}$ and
mole of $\left(\mathrm{C}\right) {\mathrm{C}}_{10}{\mathrm{H}}_8{\mathrm{O}}_2.$ Both $\left(\mathrm{B}\right)$ and $\left(\mathrm{C}\right)$ give yellow precipitate with ${\mathrm{I}}_2/{\mathrm{OH}}^{-}.\left(\mathrm{C}\right)$ with ${\mathrm{I}}_2/{\mathrm{OH}}^{-}$ gives $\left(\mathrm{D}\right) {\mathrm{C}}_8{\mathrm{H}}_6{\mathrm{O}}_4$
and $2$ moles of ${\mathrm{CHI}}_3$. Compound $\left(\mathrm{D}\right)$ with red $\mathrm{P}$ and $\mathrm{HI}$ gives $\left(\mathrm{E}\right)$. Which has zero dipole moment? Give the structures of $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and $\mathrm{E}$.