MathDB

Let

G

be the set of points

(x, y)

such that

x

and

y

are positive integers less than or equal to 20. Say that a ray in the coordinate plane is ocular if it starts at

(0, 0)

and passes through at least one point in

G

. Let

A

be the set of angle measures of acute angles formed by two distinct ocular rays. Determine

\min_{a \in A} \tan a.

Problem Statement