
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
From unit cubes, a large parallelepiped with sides greater than 4 was constructed. Two cubes are called adjacent if they touch each other by faces. Thus, one cube can have up to 6 neighbors. It is known that the number of cubes with exactly 6 neighbors is 836. Find the number of cubes with no more than four neighbors.

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