The enol form of acetone,after treatment with $D_2O$,gives:

The final product of the following reaction sequence is: $(CH_3O)_2CH-CH_2-CH_2-CH_2-Br$ $\xrightarrow{Mg}$ $\xrightarrow{H_2C=O}$ $\xrightarrow[heat]{H_3O^{+}}$

Identify the product $P$ from the following sequence of reactions?

The aldol condensation of $CH_{3}CHO$ results in the formation of

The major product of the following reaction is:

Compound $(P)$ is formed by the acid-catalyzed rearrangement of $1$-methyl-$1$-cyclohexyl hydrogen peroxide. The reaction is shown below. Identify compound $(P)$.