
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
Consider a different geometric layout where the center shape is a hexagon surrounded by rings of hexagons, each hexagon being regular and of unit side length. The first ring around the center hexagon consists of 6 unit hexagons. The second ring contains 12 unit hexagons. Determine the number of unit hexagons in the $50^{th}$ ring.

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