
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
What is the smallest value of \( n \) such that a square of size \( n \times n \) can be divided into squares of sizes \( 40 \times 40 \) and \( 49 \times 49 \), with both types of squares being present?

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