
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
If digits  $A$ ,  $B$ , and  $C$  (between  $0$  and  $9$  inclusive) satisfy
    \begin{tabular}{c@{\,}c@{\,}c@{\,}c}
      &  $C$   &  $C$  &  $A$  
    + &  $B$  &  $2$  &  $B$  \hline
      &  $A$  &  $8$  &  $8$  
    \end{tabular}
    what is  $A \cdot B \cdot C$ ?


*2021 CCA Math Bonanza Individual Round #5*

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