
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
Given three cubes, each marked with the numbers 3, 6, 12, 24, 48, and 96, arrange them such that the sum of the visible numbers, considering 13 visible sides, is maximized. What is this maximum possible sum?

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