What are $X$ and $Y$ respectively in the following reaction sequence?

$$ \text { Isopentane } \xrightarrow{\mathrm{KMnO}_4} X \xrightarrow{\text { Dehydration }} Y \text { Major } $$

The product formed when a hydrocarbon $$X$$ of molecular formula $$\mathrm{C}_6 \mathrm{H}_{10}$$ is reacted with sodamide is subjected to ozonolysis, followed by hydrolysis with $$\mathrm{Zn} / \mathrm{H}_2 \mathrm{O}_2$$ and upon further oxidation gave two carboxylic acids, of which one is optically active. The hydrocarbon '$$X$$' is

Identify the product of the following reaction.