
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
The price of type A signature pens is 3.5 yuan each, and type B signature pens are 2.65 yuan each. The students in a class pooled the same amount of money to buy several pens of both types, and these pens were distributed among the students, with each student getting 3 pens plus 2 extra pens, and if each student were to get 4 pens, there would be 13 pens short. There are ____ students in the class, and each student needs to contribute at least ____ yuan.

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