
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
Petya wants to make an unusual die, which, as usual, should have the shape of a cube with dots drawn on its faces (with different numbers of dots on different faces). However, the number of dots on each pair of adjacent faces must differ by at least two (it is allowed to have more than six dots on some faces). How many dots in total are necessary to draw?

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