
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 placed vertically in a stack as described. The visible numbers on these dice are 2, 2, 3, 3, 4, 5, 6. Calculate the total number of dots that are NOT visible on these dice.

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