
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
A school organized a volleyball competition, in which 12 out of 45 students from a class participated. Later, a track and field competition was held, and 20 students from the same class participated. It is known that 19 students from the class did not participate in either competition. How many students from the class participated in both competitions?

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