
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
Four coplanar circles are placed as shown. What is the maximum number of points on the circles that a line passing through all four circles can touch?

[asy]
import graph;
draw(Circle((-12, 12), 20));
draw(Circle((0, -12), 20));
draw(Circle((12, 12), 20));
draw(Circle((24, -12), 20));
[/asy]

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