
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 layout of an array of unit squares, with a center square surrounded by successive rings of squares. The first ring around the center square contains 8 unit squares, the second ring contains 16 unit squares, and so on, adding 8 squares for each subsequent ring. What is the cumulative number of unit squares from the first ring up to and including the $50^{th}$ ring?

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