
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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 
\[
  \min_{a \in A} \tan a.
\]	

Present the answer in LaTex format: \boxed{Your answer}
user