
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
Four dice with faces numbered 1 through 6 are stacked vertically. Eight of the twenty-four faces are visible. The visible faces show the numbers 1, 2, 3, 4, 4, 5, 5, and 6. Calculate the sum of the numbers on the faces that are not visible.

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