What are the major products $X$ and $Y$ respectively in the following set of reactions?

The structures of succinic acid $(x)$ and malonic acid $(y)$ respectively are

$$ \text { The final product }(C) \text { in the given reaction sequence is } $$

$$ \mathrm{C}_6 \mathrm{H}_5 \mathrm{COOH} \xrightarrow{\mathrm{SOCl}_2}(A) \xrightarrow[\text { anhy } \cdot \mathrm{AlCl}_3]{\mathrm{C}_6 \mathrm{H}_6}(B) \xrightarrow[\text { (ii) } \mathrm{KOH}_4 /\left(\mathrm{CH}_2 \mathrm{OH}\right)_2]{\text { (i) } \mathrm{NH}_2-\mathrm{NH}_2}(C) $$

An alkyl bromide $X\left(\mathrm{C}_5 \mathrm{H}_{11} \mathrm{Br}\right)$ undergoes hydrolysis in a two step mechanism $X$ is converted to Grignard reagent and then reacted with $\mathrm{CO}_2$ in dry ether followed by acidification gave $Y$. What is $Y$ ?