
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
Three-digit powers of $2$ and $3$ are used in this "cross-number" puzzle. What is the only possible digit for the outlined square?
\[
\begin{array}{lcl}
\textbf{ACROSS} & & \textbf{DOWN} \\
\textbf{2}.~ 2^m & & \textbf{1}.~ 3^n
\end{array}
\]
A) 2
B) 3
C) 4
D) 7
E) 9

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