
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 a class of 36 students, everyone bought pencils, totaling 50 pencils. Some students bought 1 pencil, some bought 2 pencils, and some bought 3 pencils. If the number of students who bought 1 pencil is twice the number of students who bought the other amounts, how many students bought 2 pencils?

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