
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
In the diagram, a gray hexagon is surrounded by a ring of 6 black hexagons, and the next ring consists of gray hexagons. If 5 more rings are colored, alternating colors, how many black and how many gray hexagons will there be (including the central one)?

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