
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
Find any solution to the puzzle

$$
A \cdot B + A + B = \overline{AB}
$$

$A$ and $B$ are two distinct digits; the notation $\overline{AB}$ represents a two-digit number (with $A \neq 0$) composed of the digits $A$ and $B$. As the answer, write the number $\overline{AB}$.

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