
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
Peter has 5 cages with rabbits (the cages are arranged in a row). It is known that there is at least one rabbit in each cage. We will call two rabbits neighbors if they are either in the same cage or in adjacent cages. It turned out that each rabbit has either 3 or 7 neighbors. How many rabbits are in the central cage?

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