
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 cryptarithm

$$
\overline{A B} + A \cdot \overline{C C C} = 247
$$

where \( A, B, C \) are three different nonzero digits. The notation \( \overline{A B} \) represents the two-digit number formed by digits \( A \) and \( B \), and \( \overline{C C C} \) represents the three-digit number composed entirely of the digit \( C \). As the answer, provide the three-digit number \( \overline{A B C} \).

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