
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 honor of the holiday, 1% of the soldiers in the regiment received new uniforms. The soldiers are arranged in a rectangle such that the soldiers in new uniforms are in at least 30% of the columns and at least 40% of the rows. What is the minimum number of soldiers that could have been in the regiment?

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