457*. 80 students are arranged in a rectangle $8 \times 10$. All of them are of different heights. In each transverse row, the tallest student was chosen. The shortest of them turned out to be Andreev. In each longitudinal row, the shortest student was chosen. The tallest of them turned out to be Borisov. Who is taller - Andreev or Borisov?
$\triangle$ Consider student $B$, who stands in the same transverse row with Andreev and in the same longitudinal row with Borisov (Fig. 50). Let's denote the heights of Andreev, Borisov, and B as $h_{1}, h_{2}$, and $h_{3}$, respectively.

Since Andreev is the tallest in his transverse row, $h_{1}>h_{3}$. Since Borisov is the shortest in his longitudinal row, $h_{3}>h_{2}$. Therefore, $h_{1}>h_{2}$.

Answer: Andreev.