
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 are stacked vertically. Eight of the eighteen faces are visible due to the orientation and stacking of the dice. The visible faces show the numbers 2, 2, 3, 4, 5, 5, 6, and 6. What is the total number of dots not visible from this view?

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