
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
Three circles are drawn on the same side of a straight line: one circle with a radius of 4 touches the line, and the other two circles are equal in size and each touches the line and the other two circles. What is the radius of the two equal circles?

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