# Digit Multiplication Time!

Algebra Level 2

Let $$A$$ be a positive single-digit number, such that:

• $$A^2$$ is single-digit number.
• $$\overline{AA}^2$$ is four-digit number.

What is $$\overline{AAA}^2$$?

Note: The leading digits for both $$A^2$$ and $$\overline{AA}^2$$ are nonzero.

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