
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 similar setup as the original problem with a central square and rings of unit squares around it. The first ring around the center square contains 8 unit squares, and each subsequent ring contains squares such that the number of squares in the nth ring is given by the formula \(4n + 4\). What is the number of unit squares in the 50th ring?

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