
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 cubes with distinct number patterns are A: 1, 2, 3, 4, 5, 6; B: 7, 8, 9, 10, 11, 12; and C: 13, 14, 15, 16, 17, 18. Find the sum of the 13 visible numbers when the cubes are stacked in a way that maximizes this sum.

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