
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
We have a cross-number puzzle involving three-digit powers of $2$ and $3$. What is the first digit that can be filled in the puzzle if $2^m$ fills the across part and $3^n$ fills the down part?
A) 1  
B) 2  
C) 5  
D) 7

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