
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 dice with faces numbered 1 through 6 are aligned as rectangles on top of each other with seven visible sides forming a vertical sequence. The visible numbers on these sides are 2, 3, 4, 4, 5, 5, and 6. Calculate the total sum of numbers not visible in this setup.

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