Problem - Class Photos

Two classes of $n$ students each stand in two rows for a photo. Every student in the back row must be strictly taller than the one directly in front.

Given heights of both classes, determine if a valid arrangement exists. Example: class1 = [$5$, $8$, $1$, $3$, $4$], class2 = [$6$, $9$, $2$, $4$, $5$]. Can you arrange them?

The constraint is strict inequality, so equal heights in the same column break the rule. Your strategy: sort both classes and check if every back-row student is taller than the corresponding front-row student.