
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 larger central square in an array of unit squares, which is a 2x2 square. The first ring around this central square now contains 12 unit squares. The second ring contains 24 unit squares. If this pattern continues, how many unit squares are in the $100^{th}$ ring?

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