
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
We obtain the square of a three-digit number through the sketchy squaring method shown here, where $A$ denotes the same digit. What is that number?

![](https://cdn.mathpix.com/cropped/2024_05_02_87025d0760120441bd95g-1.jpg?height=303&width=659&top_left_y=217&top_left_x=234)

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