
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 center square surrounded by concentric rings of unit squares, where each ring represents a step further from the center. The center square is of size 1x1 unit. The first ring around the center square comprises 8 unit squares, the second ring 16 unit squares, continuing in this pattern. Calculate the total number of unit squares present up to and including the $50^{th}$ ring.

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