
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
On the faces of a cube, six natural numbers are written (possibly repeating) such that the numbers on adjacent faces differ by more than 1. What is the smallest possible sum of these six numbers?

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