
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
In the vertical addition on the right, the same Chinese characters represent the same digits from 1 to 9, while different Chinese characters represent different digits. How many two-digit numbers can be represented by '数学' in the vertical addition shown below?
$$
\begin{array}{r}
\text { 学习 } \\
\text { 学习 } \\
+ \text { 学习 } \\
\hline \text { 数学 }
\end{array}
$$

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