
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
In a 16-inch by 20-inch rectangle, there are two circles, each with a diameter of 8 inches. The circles are placed such that they do not extend beyond the rectangular region. What is the greatest possible distance (in inches) between the centers of these two circles?

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