Compound $A, C_{10} H_{18} O,$ undergoes reaction with dilute $H_{2} S O_{4}$ at $50^{\circ} \mathrm{C}$ to yield a mixture of two alkenes, $\mathrm{C}_{10} \mathrm{H}_{16}$. The major alkene product, $\mathrm{B},$ gives only cyclopentanone after ozone treatment followed by reduction with zinc in acetic acid. Identify A and B, and write the reactions.