
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
A rectangle measures 16 inches by 10 inches. Inside it, two circles are drawn with diameters of 8 inches each. The circles do not extend beyond the rectangle's boundaries. What is the greatest possible distance between the centers of the two circles if placed to maximize this distance?

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