\[ \begin{array} { l l l l l } & & & & A & B \\ \times & & & & A & A \\ \hline & & B & A & A & B \\ \end{array} \]

A cryptarithm is an arithmetical puzzle in which each digit of an arithmetical operation is assigned a definite letter as in a code.

Solve the cryptarithm above. Give your answer as \(\text{A} + \overline{0.\text{B}}\).

**Details and Assumptions**:

As an explicit example: if the answer for A is 9 and B is 9, Your answer must be 9.9.

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