
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 cubes are each formed with six faces having numbers 1, 3, 9, 27, 81, and 243. Calculate the greatest possible sum of the 16 visible numbers when the cubes are optimally arranged.

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