
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
Semen has 20 numbers: \(1, 2, 3, \ldots, 19, 20\). He created 10 fractions by writing ten of these numbers in some order as the numerators and the remaining ten numbers in some order as the denominators. What is the maximum number of integers that Semen could obtain after reducing all the written fractions?

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