
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 with a central unit square surrounded by concentric rings of squares. The first ring around the center square contains 8 unit squares. The second ring contains 18 unit squares. For a generalized ring, the number of squares increases by 10 for each subsequent ring. What is the number of unit squares in the $50^{th}$ ring?

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