Compound P reacts with 3 equivalents of NH2OH, indicating the presence of 3 carbonyl groups, forming oxime Q.
Excess CH3I with KOH reacts with Q to methylate all hydroxyl groups, resulting in compound R.
Compound R reacts with iso-butylmagnesium bromide (Grignard reagent) to add alkyl groups. Hydrolysis with \( \text{H}_3\text{O}^+ \) yields compound S.
\[ P \xrightarrow{\text{3 NH}_2\text{OH}} Q \xrightarrow{\text{CH}_3\text{I}, \text{KOH}} R \xrightarrow{\text{iso-BuMgBr}, \text{H}_3\text{O}^+} S \]
The structure of compound S contains a total of 12 methyl groups:
Total \( -\text{CH}_3 \) groups in compound S: 12
Ethanal to But-2-enal