
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
For the smallest \( n \), what size \( n \times n \) square can be cut into \( 40 \times 40 \) and \( 49 \times 49 \) squares, ensuring that squares of both types are present?

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