
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 classroom of 32 students, a majority bought the same number of pens, with each student purchasing more than 1 pen, and the cost of each pen in cents exceeded the number of pens bought by each student. If the total sum spent on the pens was $21.16, determine the cost of one pen in cents.

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