What are the names and structures of compounds A and B?

A colorless liquid, compound A (C₃H₆O), was soluble in water and ether, and had a boiling point of 94–96°C. It decolorized a Br₂–CH₂Cl₂ solution and gave a positive ceric nitrate test. On catalytic hydrogenation it formed compound B (C₃H₈O), which did not decolorize the above bromine solution, but did give a positive ceric nitrate test. Treatment of compound A with ozone, followed by hydrolysis in the presence of zinc, gave formaldehyde as one of the products. Compound A formed an α-napthylurethane with a melting point of 109°C. What are the names and structures of compounds A and B?

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